Re "Even Gifted Students Can't Keep Up" ("Numbers Crunch" series, editorial, Dec. 15): Educators know that when the curriculum is set at an optimal difficulty level, students learn to persist, attend carefully and gain self-confidence. For mathematically gifted students, the curriculum must move more quickly and in greater depth so that they can become disciplined, resilient students.
When the mathematically gifted sons and daughters of affluent, well-educated parents are not challenged, their parents spend considerable amounts of time and money finding tutors, summer programs and online courses. As a psychologist who has worked for more than 20 years with the families of gifted students, I have seen how much time and money is required for this effort.
For mathematically gifted students from poorer families, there is neither the time nor the money to seek educational opportunities outside the public schools. A weak public school system without flexibility or adequate challenge can seriously limit the educational experiences and lifetime employment opportunities of these students. A weak public school system ultimately limits quality education to those few whose parents can pay for it privately.
In this climate of economic uncertainty, America is once again turning to innovation as the way to ensure a prosperous future. Yet innovation remains tightly coupled with Science, Technology, Engineering and Math - the STEM subjects. Art + Design are poised to transform our economy in the 21st century just as science and technology did in the last century.
We need to add Art + Design to the equation -- to transform STEM into STEAM.
STEM + Art = STEAM
STEAM is a movement championed by Rhode Island School of Design (RISD) and widely adopted by institutions, corporations and individuals.
The objectives of the STEAM movement are to:
transform research policy to place Art + Design at the center of STEM
encourage integration of Art + Design in K-20 education
influence employers to hire artists and designers to drive innovation
In a well-publicized paper that addressed why some students were not learning to read, Reid Lyon (2001) concluded that children from disadvantaged backgrounds where early childhood education was not available failed to read because they did not receive effective instruction in the early grades. Many of these children then required special education services to make up for this early failure in reading instruction, which were by and large instruction in phonics as the means of decoding. Some of these students had no specific learning disability other than lack of access to effective instruction. These findings are significant because a similar dynamic is at play in math education: the effective treatment for many students who would otherwise be labeled learning disabled is also the effective preventative measure.
In 2010 approximately 2.4 million students were identified with learning disabilities -- about three times as many as were identified in 1976-1977. (See http://nces.ed.gov/programs/digest/d10/tables/xls/tabn045.xls and http://www.ideadata.org/arc_toc12.asp#partbEX). This increase raises the question of whether the shift in instructional emphasis over the past several decades has increased the number of low achieving children because of poor or ineffective instruction who would have swum with the rest of the pack when traditional math teaching prevailed. I believe that what is offered as treatment for math learning disabilities is what we could have done--and need to be doing--in the first place. While there has been a good amount of research and effort into early interventions in reading and decoding instruction, extremely little research of equivalent quality on the learning of mathematics exists. Given the education establishment's resistance to the idea that traditional math teaching methods are effective, this research is very much needed to draw such a definitive conclusion about the effect of instruction on the diagnosis of learning disabilities.1
Do you hold a consistent mental model of the world? For many of us (though less likely for the readers of this blog), the answer is "no." That's troubling. It's hard to be correct, if your world-view doesn't even type check. [1] People are entitled to opinions. But hold them in a state of contradiction, and they're wrong.
Though it's easy enough to apply consistency checks, inconsistent world-views abound. I suspect it's because people never learn to be consistent. Education under-represents logic and reason in the classroom. High school math class is the closest many people come to an education in rationality, and math is "just too abstract."
The 7th Inter-Schools Mathematics Olympiad 2012 was organised on Sunday at the Pak-Turk International School Campus. Over 3,000 students from 470 schools of Jhelum, Attock, Chakwal, Rawalpindi and Islamabad participated in the mega educational competition. In order to evoke interest among the students, Pak-Turk International schools and colleges have been arranging the ISMO competition for the last six years. Speaking at the event, educationists said that there are not enough chances for student to exhibit their talent to the world. There is an immense need of such programmes for the brilliant youth, they added. This unique competition provides a great chance for the students of 5, 6, 7 and 8 classes or grades to show their incredible potential and win handsome prizes.
A University of Missouri researcher and his colleague have conducted a review that casts doubt on the accuracy of a popular theory that attempted to explain why there are more men than women in top levels of mathematic fields. The researchers found that numerous studies claiming that the stereotype, "men are better at math" - believed to undermine women's math performance - had major methodological flaws, utilized improper statistical techniques, and many studies had no scientific evidence of this stereotype.
This theory, called stereotype threat, was first published in 1999 in the Journal of Experimental Social Psychology. Essentially, the theory is that due to the stereotype that women are worse than men in math skills, females develop a poor self-image in this area, which leads to mathematics underachievement.
Learning to Write Teaches Westerly Students Science "Therefore, in conclusion, learning to write promotes scientific thinking. Other districts would do well to take notice."
Back in December 2009, excited 4th graders at Westerly's State Street School (http://sss.westerly.k12.ri.us/) sat down to take a practice science test. Like little sports jocks, the kids approached the task as if it were training for the big game coming in the spring, the statewide science NECAP (http://en.wikipedia.org/wiki/NECAP).
In 2008, the whole Westerly district had performed so poorly on that test that teachers actually volunteered their time to form a K-12 Science Task Force focused on redeeming their sullied academic reputation. (See last week's column about this Task Force (link to my column from last week) .)
Then, insult to injury, in 2009 State Street's scores tanked again.
The heat was on. State Street had already started implementing the Task Force's recommendations, including its strong emphasis on teaching writing.
Wait. Writing? That's English, not science. But more on this in a moment.
Westerly's students had struggled particularly with the "inquiry" part of the NECAP, where kids to do a hands-on task and draw conclusions from what they see in front of them.
State Street's Principal Audrey Faubert says, "Science (NECAP) is only given at the 4th grade (and later at 8th and 11th), so K-3 weren't exposed to the rigors of testing. We decided to give all the kids an inquiry task to complete. And the faculty also took some of the released test items from the RIDE website. (http://www.ride.ri.gov/assessment/necap_releaseditems.aspx) Even though they'd been teaching inquiry with the science kits (http://www.uri.edu/hss/education/GEMSNET-URI/index.html) , it was interesting for the teachers to be on the other side of a test."
But the spotlight's glare was on those 4th graders.
Faubert smiled sadly, "The room was buzzing. The kids thought they did fantastic."
Working in pairs, the school's entire teaching staff scored the kids' work. The results were enough to induce clinical depression.
But as it turns out, the school's good efforts hadn't quite paid off yet. The Task Force was onto a good thing when they decided writing was key to learning science. State Street's instruction had only just started to take root.
Here's the problem: Old science was about answers. When a test asks a question like: "How does wind change sand dunes?" somewhere in the science textbook was an answer that the kid was supposed to have memorized.
New science is about thinking and reasoning. The way Faubert puts it is: "The (NECAP) science test is a thinking test, not a knowledge test. Science isn't about recall any more, but about synthesizing information." New science poses essential questions, such as the sand dunes example, but now the kids need to derive the answer themselves, by sorting through data. Teachers provide techniques, tools, research methods, and experiences. But like scientists themselves, students must do their own research and figure out what their discoveries mean.
Writing is always the product of thinking. Writing forces a kid to organize her thoughts to be expressive and communicate clearly.
Middle-school principal Paula Fusco says "Prior to the work of the Task Force, we'd left writing up to the English teacher. But whatever the kids did or didn't know, they weren't able to communicate their understanding of science."
To work on that understanding, Fusco says, "we've been taking the vocabulary out of NECAP--infer, predict, explain. So the kids aren't afraid of the words they're encountering."
The ability to define "predict" doesn't help at all if the ability to MAKE a prediction isn't also a familiar habit. Kids need to demonstrate, by their writing, that they understand what they need to DO when the test asks them to predict, infer or explain.
Similarly, Fusco's teachers began to work with the kids on "sentence starters" to guide their thinking--However, In conclusion, Whereas, Therefore.
Fortunately, Westerly's students were in the habit of writing in science journals. But they had used them mainly to record observations. Faubert says, "Every teacher brought in examples of their students' science journals. Oh, here are the strengths and weaknesses right in our own notebooks. We'd never had the kids prove their thinking in their journals. Think like a scientist, based on what's in front of you. Prove your thinking. Prove your thinking. We said that so many times."
At the end of the day, teaching the kids to EXPLAIN their predictions and reasoning was the clearest way to teach them habits of scientific thinking. And those explanations also helped the teachers assess kids' understanding and misunderstanding.
By February, State Street dared to try another practice test with the 4th graders. Again, the staff scored it together. Ahhh, much better. So much so, Faubert felt more confident about improving on the 49 percent proficiency they'd managed in the prior year's test.
In fact, when the results were released last Fall, State Street kids hit 80 percent proficiency, 8th highest in the state, out of over 150 schools that take that test. (And Westerly is the 8th lowest-income community in the state.)
Superintendent Roy Seitsinger's take on the situation is this: "Nobody (meaning veteran educators) signed up for what we're doing now. Most of the people weren't trained to bring students through a thinking process. Now the educators' job is to teach kids how to sift through all that information and to be critical, reflective and make decisions. We have too much information and not nearly enough sorting skills."
Therefore, in conclusion, learning to write promotes scientific thinking. Other districts would do well to take notice.
Julia Steiny is a freelance columnist whose work also regularly appears at EducationViews.org and GoLocalProv.com. She is the founding director of the Youth Restoration Project, a restorative-practices initiative, currently building a demonstration project in Central Falls, Rhode Island. She consults for schools and government initiatives, including regular work for The Providence Plan for whom she analyzes data. For more detail, see juliasteiny.com or contact her at juliasteiny@gmail.com or c/o GoLocalProv, 44 Weybosset Street, Providence, RI 02903.
Britain is about to fall in love with maths. Well, that's the dream. Yesterday one of the government's top advisers on further education said that maths should be compulsory for all students until 18 or 19 - no matter what else they are studying. Professor Steve Sparks, chairman of the Advisory Committee on Mathematics Education, also said that he wants a new maths qualification between GCSE and AS-level to be introduced by 2016.
Maths is justified in this country because it is useful. Sparks said his proposals were necessary because young people need a better grasp of maths to compete in the job market, where an understanding of technology and numeracy are increasingly important.
Many of us don't learn in optimal ways. We know that we forget new material, neglect to review older material, and study in ways that elevate cramming and procrastination to art forms. But there is research about how to be more efficient in these things. For example, dating back to 1885, there is a rich literature that explores how timing our learning of new and old material can affect education.
For a long time, these theories were only loosely applied. They couldn't be put into quantitative practice because of the difficulty of carefully implementing them. But with the ability to create educational software, customized to ensure a student has an optimal learning experience, we have a wonderful opportunity to actually employ this knowledge. Unfortunately, there are so many competing concerns, it's far from trivial: We need to begin constructing new algorithms to figure out how best to learn.
My younger daughter is nine. After watching me sit with a laptop all term preparing material using Scheme, she wanted to know something about it. She is self-taught on the application side of computing (browsers, paint programs, word processing) but knows nothing of computation itself. So I opened up a DrScheme Interactions window. "You add like this," I said, typing in (+ 3 4). No problem. "Try some other operations, some bigger numbers." It looks like a calculator without a ten-digit limit.
I wrote out some arithmetic expressions for her to convert to Scheme. She had difficulty with them, but not with Scheme: I had forgotten how much algebraic notation is taught later. She didn't understand concatenation for multiplication, / for division, or putting two expressions one above the other with a horizontal line in between. Once I explained those, she converted them into Scheme expressions very quickly.
Hold district accountable for deceit, academic failure and questionable activity "Where ignorance is bliss, ignorance of ignorance is sublime." - Paul Dunham
Last week, I went to a Spokane Public Schools math presentation at Indian Trail Elementary School. It was billed as a forum in the school newsletter and on the reader board outside of the school. It was not, in any way, a forum. It was a tightly controlled 20-minute presentation that offered no data, little information, allowed for no parent input and was patronizing in tone.
At one point, parents were asked to define math to the person next to us. (The principal said he would not offer his definition.) We also were told to describe to our neighbor a math experience we'd had. These conversations ended right there, thus being pointless. We watched a video of several small children talking about the importance of math. The kids were cute, but the video was long. It was made clear to us that math is hard, parents don't get it (see slide 7 of the presentation), "traditional math" is no longer useful, and math is intimidating to all. Printed materials reinforced the idea of parent incompetence, with students supposedly "taking the lead" and teaching their parents.
Parents were warned to stay positive about math, however, despite our supposed fear and lack of skill, and we also were told what a "balanced" program looks like - as if that's what Spokane actually has.
Companies like Apple "say the challenge in setting up U.S. plants is finding a technical work force," said Martin Schmidt, associate provost at the Massachusetts Institute of Technology. In particular, companies say they need engineers with more than high school, but not necessarily a bachelor's degree. Americans at that skill level are hard to find, executives contend. "They're good jobs, but the country doesn't have enough to feed the demand," Mr. Schmidt said.
Some aspects of the iPhone are uniquely American. The device's software, for instance, and its innovative marketing campaigns were largely created in the United States. Apple recently built a $500 million data center in North Carolina. Crucial semiconductors inside the iPhone 4 and 4S are manufactured in an Austin, Tex., factory by Samsung, of South Korea.
But even those facilities are not enormous sources of jobs. Apple's North Carolina center, for instance, has only 100 full-time employees. The Samsung plant has an estimated 2,400 workers.
....
"We shouldn't be criticized for using Chinese workers," a current Apple executive said. "The U.S. has stopped producing people with the skills we need."
Well worth considering from a curricular, finance and social perspective.
Pilot study finds students in Riverside Unified School District who used Houghton Mifflin Harcourt's HMH Fuse™: Algebra 1 app were also more motivated, attentive, and engaged than traditionally educated peers.
Global education leader Houghton Mifflin Harcourt (HMH) today announced the results of a yearlong pilot of HMH Fuse: Algebra I, the world's first full-curriculum Algebra app developed exclusively for the Apple iPad, involving the Amelia Earhart Middle School in California's Riverside Unified School District. The pilot showed that over 78 percent of HMH Fuse users scored Proficient or Advanced on the spring 2011 California Standards Tests, compared with only 59 percent of their textbook-using peers.
The pilot showed that over 78 percent of HMH Fuse users scored Proficient or Advanced on the spring 2011 California Standards Tests, compared with only 59 percent of their textbook-using peers."
The first assessment of the pilot-- Riverside's district Algebra benchmark -took place during the second trimester of the 2010-2011 year. Students using HMH Fuse scored an average of 10 percentage points higher than their peers. The app's impact was even more pronounced after the California Standards Test in spring 2011, on which HMH Fuse students scored approximately 20 percent higher than their textbook-using peers.
Wolfram has long been a trusted name in education--as the makers of Mathematica, Wolfram|Alpha, and the Wolfram Demonstrations Project, we've created some of the most dynamic teaching and learning tools available. We are pleased to offer the best of all of our technologies to you here in the Wolfram Education Portal, organized by course. In the portal you'll find a dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more built by Wolfram education experts. You can take a look at the types of materials we offer below, but to get full access to all materials, you need to sign up for a free account.
This is a cross-post of something I wrote for The Guardian, but just thought would be handy to have on the blog over here. It is also a small update from an old post: How to teach kids, or anyone, how to code - that's the history bit done! Now the science...
The beauty of programming is that it does not matter how old you are (within reason - under 7 is possibly a bit optimistic) you can learn using exactly the same, mostly free resources to be found on the Internet. You can learn basic programming easily within a year and then you can choose to hone and refine whichever aspects of coding most excite you. Done! It's not hard.
For the purposes of this post I have referred to resources aimed primarily at younger people - but they are all useful for the beginner.
This fall New York City will open The Academy for Software Engineering, the city's first public high school that will actually train kids to develop software. The project has been a long time dream of Mike Zamansky, the highly-regarded CS teacher at New York's elite Stuyvesant public high school. It was jump started when Fred Wilson, a VC at Union Square Ventures, promised to get the tech community to help with knowledge, advice, and money.
I'm on the board of advisors of the new school, which plans to accept ninth graders for fall of 2012. Here's why I'm excited about this new school:
Some 160 high school math and science students from across the state will be competing this month in a regional Science Bowl in St. Paul.
They'll be vying for the chance to represent Minnesota in the national competition in Washington, D.C. The event is sponsored by the U.S. Department of Energy.
Students compete in teams of five to solve technical problems and to answer questions in all branches of math and science, including astronomy, biology, computer science and physics. The tournament is conducted in a fast-paced question-and-answer format.
Data driven teaching and research at Duke keeps growing and Perkins Data and GIS continues to increase support for researchers and classes employing data, GIS, and data visualization tools. Whether your discipline is in the Humanities, Sciences, or Social Sciences, Perkins Data and GIS seeks to support researchers and students using numeric and geospatial data across the disciplines.
We're meeting for lunch at a restaurant in Canary Wharf, where many of the major global banks are located. He is a man in his late 40s, inconspicuously dressed, and in possession of a firm handshake. He orders a Coke, and then a pasta dish he will dig in with great relish. In his volunteer email he said he was with a software firm (working in investment banking). When asked for a job description, he simply says he is a "quant".
"My parents discovered that I was of a mathematical bent aged three when I was apparently lining up my toys in order of size and then colour. I was one of these terrible, precocious kids who did their mathematics O-level aged 12. After a long academic career I ended up doing theoretical physics for my PhD, and spent a couple of years at Cern in Geneva. Many people I know from back then are still at universities, doing research and climbing the slippery slope to professorships and fellowships. They work the same astonishing long hours as I do, yet get paid a fraction and, from a purely scientific perspective, get to do some really, really interesting science. I often say (only half jokingly) that I "sold my soul" - I make a little over £200,000 a year, including my bonus.
"I am in a world of data, and I build all sorts of models for banks. For instance, one that helps a bank decide whom to lend a mortgage to. You have all this data about the person who is applying, and then the model works out the risk of lending to that person. You look at both the probability of this happening, and at the size of the loss in such an event.
Earlier this year, two top Delaware State University officials visited two colleges in Ohio.
President Harry L. Williams and Provost Alton Thompson took the trips not to meet with fellow leaders in higher education. They wanted to see two high schools -- operated by and located on the campuses of Akron University and Lorain County Community College.
The model they saw in action on their visits is known as "Early College High School." And if the state approves its charter school application, DSU will open the first school of that type in Delaware on its Dover campus by the fall of 2013.
Two of our overriding efforts in Lower Education in recent years have been: 1) raising the low math and reading scores of black and Hispanic students, and 2) increasing the number of our high school and college graduates capable of employment in Science, Technology, Engineering, and Mathematics [STEM}.
Very recently evidence has been allowed to surface pointing out that while students in the bottom 10% of academic performance have indeed improved, students in the top ten percent of academic performance have stagnated, where they have not dropped out from boredom. Related evidence now suggests that complacency with secondary public education in our more affluent suburbs may have been quite misplaced as well.
As Thomas Friedman and Michael Mandelbaum point out in their recent book, That Used To Be Us, "average is over." That is to say, students in other cities (Singapore, Hong Kong, Shanghai) and countries (Finland, South Korea, Japan) take their educations so much more seriously than our students (and teachers) do that their economies are achieving gains on our own that are truly startling, if we take the time to notice.
If we are to retain good jobs, restart our manufacturing, and otherwise decide to compete seriously with others who seem to take both education and work more seriously than we have come to do, it might be wise to increase the interest of our students in STEM fields. According to the Kaiser Foundation, our students aged 8-18 are spending, on average, more than seven hours a day with electronic entertainment media.
Now of course we want our young people to buy our electronic entertainment hardware and software and we definitely want them to have a good time and be happy, but probably we would like them to be employable some day as well. Friedman and Mandelbaum point out that not only blue collar jobs and white collar jobs, but increasingly sophisticated professional work can be done to a high standard at a much lower cost in other countries than it can be done here.
Having our students spend 53 hours a week on their electronic entertainment media, while their high school homework tops out, in many cases, according to ACT, at three to four hours a week, is not a plan that will enable us to resume our competitive position in the world's economies.
So perhaps we should assign students in high school 15 hours a week of homework (which would reduce their media time to a mere 38 hours a week) and pass on to them the information that if they don't start working to a much much higher academic standard they will probably face a more depressing future in a greatly diminished nation than they currently imagine they will have.
But, is STEM enough? I remember the story told about a visit Sir Alexander Fleming, who discovered penicillin, made to the gleaming new Salk Laboratory in La Jolla. A young biologist, thrilled to be a guide to the Nobel Prize-winner, was very proud to be able to show off all the bright new spotless expensive state-of-the-art research equipment. When they finished the tour, the young man could not stop himself from saying, "Just think, Sir Alexander, with all this equipment, what you could have discovered!" And Sir Alexander said, "not penicillin."
Because the discovery of penicillin relied on serendipity and curiosity. Fleming found some petri dishes contaminated by something that had come in, probably, through one of the dirty old badly-closed windows in his lab in England. Instead of washing the dishes so he could start over with them, as most scientists would have done, he asked himself what could have killed off those bacteria in the dishes. And a major breakthrough was made possible.
Just in passing, amid the rush for more STEM, I would like to put in a word for serendipity, which often fuels creativity of many kinds, by making possible the association of previously unrelated ideas and memories when in contact with a new fact or situation not deliberately sought out.
I argue that serendipity is more likely to occur and to be fruitful if our students also have a lot of experience with the ROOTS of civilization, that is, the history, literature, art, music, architecture and other fields which have provided the background and inspiration for so much that we find worthwhile in human life. Steve Jobs found his course in calligraphy useful when he came to think about Macintosh software, but there are countless examples of important discoveries and contributions that have been, at least in part, grounded in the ROOTS of civilized life. So let us push for more STEM, by all means, but if, in the process we neglect those ROOTS, our achievements will be fewer, and our lives will be the poorer as a result, IMHO.
For most people, the word "algebra" conjures classroom memories of Xs and Ys. Weekend Edition's math guy, Keith Devlin, says that's because most schools do a terrible job of teaching it. He talks with host Scott Simon about what algebra really is. Plus, Devlin explains how algebra took off in Baghdad, the Silicon Valley of the ninth century.
The donor whose $350 million gift will be critical in building Cornell University's new high-tech graduate school on Roosevelt Island is Atlantic Philanthropies, whose founder, Charles F. Feeney, is a Cornell alumnus who made billions of dollars through the Duty Free Shoppers Group.
Mr. Feeney, 80, has spent much of the last three decades giving away his fortune, with large gifts to universities all over the world and an unusual degree of anonymity. Cornell officials revealed in 2007 that he had given some $600 million to the university over the years, yet nothing on its Ithaca campus, where he graduated from the School of Hotel Management in 1956.
The $350 million gift, the largest in the university's history, was announced on Friday, but the donor was not named. Officials at Atlantic Philanthropies confirmed on Monday evening that it was Mr. Feeney, a native of Elizabeth, N.J., who is known for his frugality -- he flies coach, owns neither a home nor a car, and wears a $15 watch -- as well as his philanthropic generosity, particularly to medical research.
The other day AP published an article titled, "Census shows 1 in 2 people are poor or low-income," which pointed to a US Census Bureau report showing that half of all households earn less than the median national income. Yes, you read that correctly.
The AP's Hope Yen reported:
Squeezed by rising living costs, a record number of Americans -- nearly 1 in 2 -- have fallen into poverty or are scraping by on earnings that classify them as low income.
The Census Bureau's definition of a 'low-income household' is less than $45,000, as the AP's Yen wrote:
Many middle-class Americans are dropping below the low-income threshold -- roughly $45,000 for a family of four...
There's a longstanding myth of a gender gap between boys' and girls' math performance, suggesting some basic biological difference in how the two genders approach math. It's deeply controversial and widely discredited. And now, a new study has completely debunked it.
Until now, there was maybe a sliver of statistical data to support the existence of this gender gap -- nothing remotely convincing, mind you, but just enough that the idea couldn't be entirely dismissed out of hand. While most who studied the issue pointed for cultural or social reasons why girls might lag behind boys in math performance, there was still room for biological theories to be proposed.
The best-known of these is the "greater male variability hypothesis", which basically says ability among males varies more widely than that of females, which means you'll see more males at the extreme ends of the spectrum, good and bad. Then-Harvard president Larry Summers infamously put forward this idea back in 2005 as a way to explain the lack of great female mathematicians, and this was one of about a dozen different factors that ultimately cost him his job.
Chinese universities graduate more than 600,000 engineering students a year. China has consistently placed at or near the top of programming competitions. And while we have not seen China become a leader in information technology and computing, I expect that this will change in the coming decade.
Since the Internet revolution of the late 1990s, many successful companies have been built by taking American ideas and localizing them for China. These companies may have "copied" from the United States at first, but they acted swiftly, focused on their customers and developed their products, adding more and more local innovations.
For example, Tencent, one of China's three Internet juggernauts, started with an instant-messaging product named QQ, which was a replica of the same system on which Yahoo Messenger and MSN Messenger were based. But today, QQ has evolved to become a very different product -- a combination of instant messaging, social networking, universal ID and gaming center. QQ has built the world's largest online community (about 700 million active accounts), while its American counterparts continue to build instant messaging as loss leaders.
Madison schools aren't failing, by any stretch of the imagination, for many students.
In fact, if you're a white, middle-class family sending your children to public school here, your kids are likely getting an education that's on a par with Singapore or Finland -- among the best in the world.
However, if you're black or Latino and poor, it's an unquestionable fact that Madison schools don't as good a job helping you with your grade-point average, high school graduation, college readiness or test scores. By all these measures, the district's achievement gap between white and minority students is awful.
These facts have informed the stern (and legitimate) criticisms leveled by Urban League President Kaleem Caire and Madison Prep backers.
But they doesn't take into account some recent glimmers of hope that shouldn't be discounted or overlooked. Programs like AVID/TOPS support first-generation college-bound students in Madison public schools and are showing some successes. Four-year-old kindergarten is likely to even the playing field for the district's youngest students, giving them a leg up as they enter school. And, the data surrounding increasing numbers of kids of color participating in Advanced Placement classes is encouraging.
Stepping back from the local district and looking at education through a broader lens, it's easy to see that No Child Left Behind and Race to the Top have aimed to legislate, bribe and punish their way toward an unrealistic Lake Wobegon world where all the students are above average.
Remarkable. Are there some excellent teachers in Madison? Certainly. Does Madison's Administration seek best in the world results? A look at the math task force, seemingly on hold for years, is informative. The long one size fits all battle and the talented and gifted complaint are worth contemplating.
Could Madison be the best? Certainly. The infrastructure is present, from current spending of $14,963/student to the nearby UW-Madison, Madison College and Edgewood College backed by a supportive community.
In his first algebra class last year, Mani Chadaga slumped low in his front-row seat and pretended to read his new textbook intently.
Mani could make himself only so inconspicuous: He was, after all, a second-grader in a junior high class at St. Paul's Capitol Hill Gifted and Talented Magnet School.
So he stopped trying.
Soon, he was piping up with solutions to the teacher's questions and standing before his stumped classmates, explaining how he arrived at them. These days, as a third-grader juggling Algebra II and geometry, he kneels in his seat, only a smidgen of his early shyness and all his humility intact.
Dear Colleague: I am writing this letter because I sincerely fear that the future of our children and grandchildren could be in jeopardy. While there are numerous important issues facing America today, one continues to be high on my priority list, K-12 Math and Science. What scares me the most is that no one seems to care - not parents, teachers, administrators, politicians or business people - that we have FALLEN TO 25th GLOBALLY IN MATH.
It has been our strength in Science, Technology, Engineering and Math (STEM) and the resultant innovation that fueled the great businesses of the 20th century. Automobiles, airplanes, radio, television, space travel, telecommunications and the Internet are just a few industries that are reliant on strong Math and Science skills and have produced a significant number of good jobs. There is a very good chance that our personal good fortunes can in some way be tied to the early innovation of our grandparents.
This comparative table needs no detailed explanation. Based on 2009 statistics from the Organization for Economic Cooperation and Development (OECD), it clearly shows how far we have fallen and how competitive the rest of the world has become
Reading science books for the general public, you'll often find physicists talking about elegance, beauty and words of the like describing laws or theories.
The Wikipedia has an entry for "Mathematical Beauty". Another entry says "Many mathematicians talk about the elegance of mathematics, its intrinsic aesthetics and inner beauty. Simplicity and generality are valued. There is beauty in a simple and elegant proof [...]".
The Spanish journal El Pais is publishing each week a mathematical challenge to its readers to commemorate the 100th anniversary of the Spanish Royal Mathematics Society.
Last week's challenge was to solve the sides of the different inner squares that compose the following rectangle, knowing that the red one has a side of 3.
Cryptography is an indispensable tool for protecting information in computer systems. This course explains the inner workings of cryptographic primitives and how to correctly use them. Students will learn how to reason about the security of cryptographic constructions and how to apply this knowledge to real-world applications. The course begins with a detailed discussion of how two parties who have a shared secret key can communicate securely when a powerful adversary eavesdrops and tampers with traffic. We will examine many deployed protocols and analyze mistakes in existing systems. The second half of the course discusses public-key techniques that let two or more parties generate a shared secret key. We will cover the relevant number theory and discuss public-key encryption, digital signatures, and authentication protocols. Towards the end of the course we will cover more advanced topics such as zero-knowledge, distributed protocols such as secure auctions, and a number of privacy mechanisms. Throughout the course students will be exposed to many exciting open problems in the field.
Late last week I got an email from Kaleem Caire, Urban League CEO and champion of the Madison Preparatory Academy charter school proposal.
Caire was unhappy with the way I had characterized the latest version of the charter school proposal.
In a blog post following the Madison Prep board's decision late Wednesday to develop the proposed school as what's known as a "non-instrumentality" of the school district, I described this type of school as being "free from district oversight."
While it's true that the entire point of establishing a non-instrumentality charter school is to give the organization maximum freedom and flexibility in the way it operates on a day-to-day basis, I agree it would be more accurate to describe it as "largely free of district oversight," or "free of routine oversight by the School Board."
In his message, Caire asked me, and my fellow reporter, Matt DeFour from the Wisconsin State Journal, to correct our descriptions of the proposed school, which will be approved or denied by the Madison School Board in the coming weeks.
In his message, Caire writes, "Madison Prep will be governed by MMSD's Board of Education. In your stories today, you (or the quotes you provide) say we will not be. This continues to be a subject of public conversation and it is just not true."
I wonder if other Madison School District programs, many spending far larger sums, receive similar substantive scrutiny compared with the proposed Madison Preparatory Academy IB charter school? The District's math (related math task force) and reading programs come to mind.
Ideally, the local media might dig into curricular performance across the spectrum, over time along with related expenditures and staffing.
In general, I agree entirely with the many commentators who have argued that the United States needs to produce more STEM graduates. But I also take note of the many people who have written to me to argue that the only truly employable STEM fields at the moment are engineering and computer science, and only certain disciplines within those. (I.e., I take the point made by many commenters that STEM graduates are not doing all that well in this economy either -- when we say STEM = employment, so commenters point out, we don't mean scientists or mathematicians as such, we mean particular fields of engineering and computer science. I can't vouch for that but do accept it.)
It's also worth keeping in mind that the United States could easily produce an excess of engineers -- yes, even engineers. The labor market of a complicated, division-of-labor society means many, many specializations, and most of them are not STEM. We need lawyers, human resources staff, janitors, communications specialists, and many things that too-reductionist a view might lead one to believe are purely frivolous intermediary occupations. Maybe they are parasitical, and maybe they will get squeezed out of existence over time. But there is a sometimes incorrect tendency these days to believe that since innovation is the heart of all increases in productivity and hence in long run growth and wealth, STEM must be responsible for it and that because STEM is the root of innovation, only STEM jobs are truly value added. I exaggerate for effect, but you see the point.
Every week, middle and high school students are invited to the UW Madison campus to hear a talk designed to stimulate their interest in math and science and then to mingle with professors and their peers over pizza.
Called Madison Math Circle, the activity was started this fall as a replacement for the former High School Math Nights previously run on campus every other week. Organizer Gheorghe Craciun, associate professor in the math and biomolecular chemistry departments, said middle school students are now included because he found high school students are often too busy with other activities to attend.
Kevin Zamzow, who attended the Nov. 7 Madison Math Circle with his son, Noah Zamzow-Schmidt, approached the UW Madison math department about organizing the activity. Math circles are held at campuses around the country although Zamzow doesn't know of another one in Wisconsin.
"I enjoy math," said Noah, 12, a seventh grader at Edgewood Campus School who is taking 10th and 11th grade math classes at Edgewood High School. "I really enjoyed the topic tonight."
Both exams, that is the midterm and final exam for the online course "Introduction to Artificial Intelligence" by Sebastian Thrun and Peter Norvig, can be taken at the University of Freiburg, supervised by Prof. Dr. Wolfram Burgard. For both exams, you will have to be physically present at the location mentioned below. If you should be unable to come to Freiburg for both exams, you cannot receive the certificate.
Why you would want to do that, if you can do it at home, too? Because if you will pass the exams, you will get a certificate (in German: Schein) signed by Prof. Wolfram Burgard that you have passed the exam of the course and that this is equivalent to the AI course at the Department of Computer Science of the University of Freiburg. Typically, German and many international Universities accept such a certificate.
If you would like to take part in the exams at the University of Freiburg, please write an e-mail to Prof. Dr. Burgard to enroll:
burgard@informatik.uni-freiburg.de. Please use the subject "Stanford AI Course Exam Registration" for your email.
Wisconsin (and just about every other state) is involved in developing new state tests. That work is one of the requirements of getting a waiver and, if a bill ever emerges form Congress, it will almost certainly continue to require every state to do testing.
But the new tests aren't scheduled to be in place for three years - in the fall of 2014. So this fall and for at least the next two, Wisconsin's school children and schools will go through the elaborate process of taking a test that still gets lots of attention but seems to be less useful each year it lives on.
I remember a conversation with a well educated Madison parent earlier this year. "My child is doing well, the WKCE reports him scoring in the 95th percentile in math"......
LAST FALL, President Obama threw what was billed as the first White House Science Fair, a photo op in the gilt-mirrored State Dining Room. He tested a steering wheel designed by middle schoolers to detect distracted driving and peeked inside a robot that plays soccer. It was meant as an inspirational moment: children, science is fun; work harder.
Politicians and educators have been wringing their hands for years over test scores showing American students falling behind their counterparts in Slovenia and Singapore. How will the United States stack up against global rivals in innovation? The president and industry groups have called on colleges to graduate 10,000 more engineers a year and 100,000 new teachers with majors in STEM -- science, technology, engineering and math. All the Sputnik-like urgency has put classrooms from kindergarten through 12th grade -- the pipeline, as they call it -- under a microscope. And there are encouraging signs, with surveys showing the number of college freshmen interested in majoring in a STEM field on the rise.
There is little question in my mind that national standards will be a blessing. The crazy quilt of district and state standards will become more rational, student mobility will stop causing needless learning hardships, and the full talents of a nation of innovators will be released to develop a vast array of products and services at a scale that permits even small vendors to compete to widen the field to all educators' benefit.
That said, we are faced with a terrible situation in mathematics. In my view, unlike the English/language arts standards, the mathematics components of the Common Core State Standards Initiative are a bitter disappointment. In terms of their limited vision of math education, the pedestrian framework chosen to organize the standards, and the incoherent nature of the standards for mathematical practice in particular, I don't see how these take us forward in any way. They unwittingly reinforce the very errors in math curriculum, instruction, and assessment that produced the current crisis.
Following is commentary on Wisconsin's NAEP reading scores that was sent to the Governor's Read to Lead task force by task force member Steve Dykstra.
2011 NAEP data for reading was released earlier than usual, this year. Under the previous timeline we wouldn't get the reading data until Spring.
While we returned to our 2007 rank of 25 from our 2009 rank of 30, that is misleading. All of our gains come from modest improvement among Black students who no longer rank last, but are still very near the bottom. The shift in rank is among Wisconsin and a group of states who all perform at an essentially identical level, and have for years. We're talking tenths of points as the difference.
It is always misleading to consider NAEP scores on a whole-state basis. Different states may have very different demographic make-ups and those difference can either exaggerate or mask the actual differences between the two states. For instance, the difference between Florida and Wisconsin (all scores refer to 4th grade reading) at the whole-state level is only 3 points. In reality, the difference is much greater. Demographic variation masks the real difference because Florida has far more minority students and far more poverty than Wisconsin. When we look at the subgroups, comparing apples to apples, we see that the real differences are vast.
When we break the groups down by gender and race, Florida outperforms Wisconsin by a statistically significant margin in every group. The smallest difference is 8 and some are as large as 20. If we break the groups down by race and school lunch status Florida outperforms Wisconsin by a statistically significant margin in every group, except black students who don't get a free lunch. For that group Florida does better, but not by enough to declare statistical certainty. The smallest margin is 9, and many are at or above 15.
10 points are generally accepted as a grade level for this range of the NAEP. Every Florida subgroup except one exceeds it's Wisconsin counterpart by a nearly a full grade level, and most by a lot more.
When we compare Wisconsin to Massachusetts the story is the same, only worse. The same groups are significantly different from each other, but the margins are slightly larger. The whole-state difference between Wisconsin and Massachusetts (15+ pts) only appears larger than for Florida because Massachusetts enjoys many of the same demographic advantages as Wisconsin. In fact, Wisconsin students are about the same 1.5 grade levels behind both Florida and Massachusetts for 4th grade reading.
If you want to dig deeper and kick over more rocks, it only gets worse. Every Wisconsin subgroup is below their national average and most are statistically significantly below. The gaps are found in overall scores, as well as for performance categories. We do about the same in terms of advanced students as we do with low performing students. Except for black students who don't get a free lunch (where the three states are in a virtual dead heat), Wisconsin ranks last compared to Florida and Massachusetts for every subgroup in terms of percentage of students at the advanced level. In many cases the other states exceed our rate by 50-100% or more. Their children have a 50 -100% better chance to read at the advanced level.
We need a sense of urgency to do more than meet, and talk, and discuss. We need to actually change the things that will make a difference, we need to do it fast, and we need to get it right. A lot of what needs to be done can be accomplished in a matter of days. Some of it takes a few hours. The parts that will take longer would benefit from getting the other stuff done and out of the way so we can devote our attention to those long term issues.
Our children are suffering and so far, all we're doing is talking about it. Shame on us.
There are 19 gym teachers in the Farmington School District who make more than $85,000 a year each. The average gym teacher's salary in Farmington is $75,035. By comparison, the science teachers in that district make $68,483 per year on average.
That's not unusual in Michigan schools, according to Freedom of Information Act requests received from around the state.
In the Woodhaven-Brownstown district, 18.5 (FTE) science teachers average some $58,400 per year in salary, while 12 gym teachers averaged nearly $76,700. In Harrison, science teachers earned $49,000 on average while gym teachers averaged $62,000.
This is not unusual, because school districts don't differentiate what a teacher does when considering compensation, regardless of the district's educational needs. Teachers are paid on a single salary schedule based on seniority and education level.
The Royal Society continues to support scientific discovery by allowing free access to more than 250 years of leading research.
From October 2011, our world-famous journal archive - comprising more than 69,000 articles - will be opened up and all articles more than 70 years old will be made permanently free to access.
kite
The Royal Society is the world's oldest scientific publisher and, as such, our archive is the most comprehensive in science. Treasures in the archive include Isaac Newton's first published scientific paper, geological work by a young Charles Darwin, and Benjamin Franklin's celebrated account of his electrical kite experiment. Readers willing to delve a little deeper may find some undiscovered gems from the dawn of the scientific revolution - including Robert Boyle's account of monstrous calves, grisly tales of students being struck by lightning, and early experiments on to how to cool drinks 'without the Help of Snow, Ice, Haile, Wind or Niter, and That at Any Time of the Year.'
In Calculus, we just finished our limits unit. I gave a test. It had a great question on it, inspired by Bowman and his limit activity.
Without further ado, it reads:
Then I ask part (b)...
Which reads: "Scratch off the missing data. With the new information, now answer the question: What do you think the limit as x approaches 2 of the function is (and say "d.n.e." if it does not exist)? Explain why (talk about what a limit is!).
For some of us, it was Spock. For others, a humiliating performance as a pilgrim in the kindergarten musical. For me, it was William Blake's relentless (and beautiful) attacks on Reason. But everyone at some point encounters - and many of us swallow - the dangerous notion that creativity and calculation are irreconcilable enemies.
This perspective lives at the very heart of our school curricula from first grade through graduate school, as our talents are identified and we, complicit in the scheme, label ourselves 'artistic' or 'sporty' or 'scientific.' No doubt there are real, epigenetic differences in the way people think and see the world, but in epigenesis lies the key: Nature gives us talents, but nurture determines how we use them, and how mono or multidimensional our minds become.
Like many quants - the mathematicians whose equations shape high-stakes decision making on Wall Street - Emanuel Derman arrived on Wall Street with little knowledge of economic theory. Unlike many of his colleagues, though, he had a background in theoretical physics, a field in which imagination and mathematics are happy bedfellows. From 1990-2000, Derman led Goldman Sachs' Quantitative Strategies group, presiding over the rise of mathematical modeling as the engine driving financial betting on Wall Street.
I am writing to thank you for your encouragement and support in my decision to seek election to the MMSD Board of Education in late fall 2005. Your help in getting elected, your support during tough times, and your help in finding solutions to problems, have made a great difference to my service on the board.
I am writing to let you know that I will not seek re-election in 2012. I continue to believe that the Board of Education is one of the most important elected positions for our community and its schools, and encourage others to step forward to serve in this capacity. MMSD is facing significant challenges, and it is more important than ever that thoughtful citizens engage in the work that will be needed to preserve the traditional strengths of our public schools while helping those schools to change in keeping with the times and the families that they serve.
At the same time, I do not view school board service as a career, and believe that turnover in membership is healthy for the organization and for the district. I have been fortunate to have had an opportunity to serve on this board, and to work with many fine community organizations in that capacity. For that I am grateful.
Again, thank you for your interest, support, and collegiality.
Lucy J. Mathiak
716 Orton Ct.
Madison, WI 53703
Madison School Board
Seat #2
I am appreciative of Lucy's tireless and often thankless work on behalf of our students.
Every organization - public or private, deteriorates. It is often easier to spend more (raise taxes), raise fees on consumers - or a "rate base", reduce curricular quality and in general go along and get along than to seek substantive improvements. Change is hard.
In closing, I had an opportunity to hear Peter Schneider speak during a recent Madison visit. Schneider discussed cultural differences and similarities between America and Germany. He specifically discussed the recent financial crisis. I paraphrase: "If I do not understand a financial vehicle, I buy it". "I create a financial product that no one, including me, understands, I sell it". This is "collective ignorance".
Schneider's talk reminded me of a wonderful Madison teacher's comments some years ago: "if we are doing such a great job, why do so few people vote and/or understand civic and business issues"?
What, then, is the payoff of increased rigor and the pursuit of high standards throughout an organization? Opportunity.
I recently met a technical professional who works throughout the United States from a suburban Madison home. This person is the product of a very poor single parent household. Yet, high parental standards and rigorous academic opportunities at a somewhat rural Wisconsin high school and UW-Madison led to an advanced degree and professional opportunities.
My high school algebra 2 class which I had in the fall of 1964, was notable for a number of things. One was learning how to solve word problems. Another was a theory that most problems we encountered in algebra class could be solved with arithmetic. Yet another was a girl named Fran who I had a crush on.
Fran professed to not like algebra or the class we were in, and found word problems difficult. On a day I had occasion to talk to her, I tried to explain my theory that algebra was like arithmetic but easier. Admittedly, my theory had a bit more to go. She appeared to show some interest, but she wasn't interested. On another occasion I asked her to a football game, but she said she was washing her hair that day. Although Fran had long and beautiful black hair, and I wanted to believe that she had a careful and unrelenting schedule for washing it, I resigned myself to the fact that she would remain uninterested in me, algebra, and any theories about the subject.
My theory of arithmetic vs. algebra grew from a realization I had during that the problems that were difficult for me years ago when I was in elementary school were now incredibly easy using algebra. For example: $24 is 30% of what amount? In arithmetic this involved setting up a proportion while in algebra, it translated directly to 24 = 0.3x, thus skipping the set up of the ratio 24/30 = x/100. Similarly, it was now much easier to understand that an increase in cost by 25% of some amount could be represented as 1.25x. What had been problems before were now exercises; being able to express quantities algebraically made it obvious what was going on. It seemed I was on to something, but I wasn't quite sure what.
This is an evolving description of books and software that could be used to design a totally open undergraduate mathematics curriculum. This is meant to be a selective list, so you can consider these to be personal recommendations, not just links I've found promising. As such there will be a limited number of entries in each category. The first criteria in selecting texts is that preference will be given to those that are truly free - as in free to copy, free to modify, free to distribute, free to sell. For example, a text that prohibits commercial use does not have full freedom. Licensing terms are summarized for each item. The second criteria is that I have to have some reason to believe the text is accurate and has a selection of content that is in line with typical university courses.
First some comprehensive software, then lower-division (including introductory programming), concluding with upper-division (alphabetically by subject). Suggestions are encouraged, especially for empty categories or books you have used in a course, but inclusion is subject to the above discussion.
As a disruptive innovation--an innovation that transforms a sector from one that was previously complicated and expensive into one that is far simpler and more affordable--the rise of online learning carries with it an unprecedented opportunity to transform the schooling system into a student-centric one that can affordably customize for different student needs by allowing all students to learn at their appropriate pace and path, thereby allowing each student to realize her fullest potential.
Whether it does this in the coming years will depend on several variables.
Entrepreneurs and investors--both for-profit and non-profit--are doing their part, as they seek to fashion the future by solving the problems they see students and teachers struggling with today.
Some, like those at Los Altos School District and Rocketship Education, are creating new learning and schooling models and liberating students and teachers.
When it comes to creditworthiness, it's hard to top the consumers of Wisconsin.
Four Wisconsin cities - including Wausau at No. 1 - are among the 10 communities in the nation with the highest average credit scores, a new survey shows.
Wausau residents posted an average credit score of 789 in the survey conducted by the credit-rating agency Experian. Madison was third, at 785; Green Bay sixth, at 780; and La Crosse 10th, at 777.
Milwaukee, with a score of 765, was 33rd of 143 cities included in the survey.
"Wisconsin residents remain among the nation's most fiscally responsible," Experian stated Tuesday in announcing the survey results.
Higher credit scores generally give consumers the ability to borrow money at lower interest rates.
There is little question in my mind that national standards will be a blessing. The crazy quilt of district and state standards will become more rational, student mobility will stop causing needless learning hardships, and the full talents of a nation of innovators will be released to develop a vast array of products and services at a scale that permits even small vendors to compete to widen the field to all educators' benefit.
That said, we are faced with a terrible situation in mathematics. In my view, unlike the English/language arts standards, the mathematics components of the Common Core State Standards Initiative are a bitter disappointment. In terms of their limited vision of math education, the pedestrian framework chosen to organize the standards, and the incoherent nature of the standards for mathematical practice in particular, I don't see how these take us forward in any way. They unwittingly reinforce the very errors in math curriculum, instruction, and assessment that produced the current crisis.
One wonders what became of the Madison School Districts Math Task Force?
Cognitive psychology is, broadly, the study of mental processes almost as if the human mind was a type of computer. It is generally a highly empirical academic discipline relying on experimentation to study faculties such as language, attention and memory. It could be revolutionized by smartphones.
The current problem, according to a paper in peer-reviewed publication PLoS One, is that experiments usually rely on groups of volunteers coming to a research facility. By using smartphone technology instead, data could be collected from thousands of subjects across the world.
The paper comes from an international group of researchers who have been running a classic experiment which asks users to distinguish rapidly between words and non-words. (Its results can be used, for example, in the diagnosis of reading impairments.) Participants in the experiment downloaded a free app from iTunes to use on their iPhone or iPad.
Many sets of state and national mathematics stan- dards have come and gone in the past two decades. The Common Core State Mathematics Standards (CCSMS), which were released in June of 2010,*have been adopted by almost all states and will be phased in across the nation in 2014. Will this be another forgettable stan- dards document like the overwhelming majority of the others?
Perhaps. But unlike the others, it will be a travesty if this one is forgotten. The main difference between these standards and most of the others is that the CCSMS are mathematically very sound overall. They could serve--at long last--as the foundation for creating proper school mathematics textbooks and dramatically better teacher preparation.
Before the CCSMS came along, America long resisted the idea of commonality of standards and curriculum--but it did not resist such commonality in actual classrooms. Despite some politicians' rhetoric extolling the virtues of local control, there has been a de facto national mathematics curriculum for decades: the curriculum defined by the school mathematics textbooks. There are several widely used textbooks, but mathe- matically they are very much alike. Let's call this de facto math- ematics curriculum Textbook School Mathematics (TSM).1
Since January 2007, I've attempted repeatedly and in myriad ways to persuade Spokane Public Schools' leadership to provide teachers with good math materials so that our children will gain sufficient basic math skills. It's an effort you'd think would be welcome, respected, and relatively painless. Alas.
In 2008, after repeated failed efforts to get a conversation going with the district or with the daily newspaper, I decided to take that conversation public. Thus was born my blog, Betrayed. Shortly after that, I began writing my book, Betrayed: How the Education Establishment Has Betrayed America and What You Can Do about it. The book was published in January 2011, and shortly thereafter, I worked with two professionals to hold public forums in Spokane and talk directly with the people. The district leadership does not appear to appreciate my efforts to inform the people and try to get the children the mathematics they need.
A school district's activities should be an open book to the community that pays for them. My blog, book and advocacy all required thorough and accurate information. Therefore, over these nearly five years of effort, I've had to file public records requests with the district in order to obtain pertinent information that wasn't available in any other venue. For records other than internal district communications, my searches usually went like this:
TWO plus two equals four: nobody would argue with that. Mathematicians can rigorously prove sums like this, and many other things besides. The language of maths allows them to provide neatly ordered ways to describe everything that happens in the world around us.
Or so they once thought. Gregory Chaitin, a mathematics researcher at IBM's T. J. Watson Research Center in Yorktown Heights, New York, has shown that mathematicians can't actually prove very much at all. Doing maths, he says, is just a process of discovery like every other branch of science: it's an experimental field where mathematicians stumble upon facts in the same way that zoologists might come across a new species of primate.
Mathematics has always been considered free of uncertainty and able to provide a pure foundation for other, messier fields of science. But maths is just as messy, Chaitin says: mathematicians are simply acting on intuition and experimenting with ideas, just like everyone else. Zoologists think there might be something new swinging from branch to branch in the unexplored forests of Madagascar, and mathematicians have hunches about which part of the mathematical landscape to explore. The subject is no more profound than that.
While Perry has been outspoken against the Common Core, he and his education commissioner have pulled the quality of Texas tests up to a level respected among education reformers. Test scores among kids of all racial and ethnic backgrounds are higher in Texas than in Wisconsin, for example, which has fewer students qualifying for free- and reduced-price lunch.
Though Perry will probably make this point on the campaign trail, he's not likely to promise to take over the nation's schools. On the contrary, he'll likely pick up on his recent call to repeal No Child Left Behind and let states take charge of their education systems. In his book released last year, Fed Up! Our Fight to Save America from Washington, Perry argues that Washington has taken power away from states. At a speech in November in Washington, Perry took aim at two of former President Bush's signature accomplishments, No Child Left Behind and the Medicare drug benefit program, saying they were examples of areas in which Washington need not be.
"Those are both big government but more importantly, they were Washington-centric," he told the Dallas Morning News. "One size does not fit all, unless you're talking tube socks."
The education establishment commits to fads like group and collaborative learning, but Garelick says they shouldn't ignore and misinterpret traditional math.
Most discussions about mathematics and how best to teach it in the K-12 arena break down to the inevitable bromides about how math was traditionally taught and that such methods were ineffective. The conventional wisdom on the "traditional method" of teaching math is often heard as an opening statement at school board meetings during which parents are protesting the adoption of a questionable math program: "The traditional method of teaching math has failed thousands of students." A recent criticism I read expanded on this notion and said that it wasn't so much the content or the textbooks (though he states that they were indeed limited) but the teaching was "too rigid, too inflexible, too limited, and thus failed to adequately address the realities of educating a large, diverse, and rapidly changing population during decades of technological innovation and social upheaval."
There is some confusion when talking about "traditional methods" since traditional methods vary over time. Textbooks considered traditional for the last ten years, for example, are quite different than textbooks in earlier eras. For purposes of this discussion, I would like to confine "traditional" to methods and textbooks in use in the 40′s, 50′s and 60′s. And before we get to the question about teaching methods, I want to first talk about the textbooks in use during this time period. A glance at the textbooks that were in use over these years shows that mathematical algorithms and procedures were not taught in isolation in a rote manner as is frequently alleged. In fact, concepts and understanding were an important part of the texts. Below is an excerpt from a fifth grade text of the "Study Arithmetic" series (Knight, et. al. 1940):
Practice makes perfect, and IXL makes math practice fun! IXL allows teachers and parents to monitor the progress of their students and motivate them through interactive games and practice questions. Widely recognized as the Web's most comprehensive math site, IXL offers a dynamic and enjoyable environment for children to practice math. Students who use IXL are succeeding like never before.
By Reihan Salam
I've been eagerly awaiting the release of the latest issue of National Affairs, which includes Rick Hess's fascinating and at times provocative discussion, or perhaps I say "devastating takedown," of "achievement-gap mania." The following paragraph gives you a hint as to Hess's conclusion:
In essence, NCLB was an effort to link "conservative" nostrums of accountability to Great Society notions of "social justice." The result was a noble exercise hailed for its compassion. The sad truth, however, is that the whole achievement-gap enterprise has been bad for schooling, bad for most children, and bad for the nation.
I found his discussion of the neglect of advanced and gifted education particularly convincing, as well as his recounting of how the "delusion of rigor" has undermined quality control across many domains. Hess ends his essay with an accounting of where "achievement-gap mania" has left the politics of K-12.
(1) Reforming education has become someone else's problem:
First, achievement-gap mania has signaled to the vast majority of American parents that school reform isn't about their kids. They are now expected to support efforts to close the achievement gap simply because it's "the right thing to do," regardless of the implications for their own children's education. In fact, given that only about one household in five even contains school-age children -- and given that two-thirds of families with children do not live in underserved urban neighborhoods, or do not send their kids to public schools, or otherwise do not stand to benefit from the gap-closing agenda -- the result is a tiny potential constituency for achievement-gap reform, made up of perhaps 6% or 7% of American households.
Because middle-class parents and suburbanites have no personal stake in the gap-closing enterprise, reforms are tolerated rather than embraced. The most recent annual Gallup poll on attitudes toward schooling reported that just 20% of respondents said "improving the nation's lowest-performing schools" was the most important of the nation's education challenges. Indeed, while just 18% of the public gave American schools overall an A or a B, a sizable majority thought their own elementary and middle schools deserved those high grades. The implication is that most Americans, even those with school-age children, currently see education reform as time and money spent on other people's children.
(2) Reforming education for the majority of students who come non-poor families is seen as somehow unnecessary:
Second, achievement-gap mania has created a dangerous complacency, giving suburban and middle-class Americans the false sense that things are just fine in their own schools. Thus it's no surprise that professionals and suburbanites tend to regard "reforms" -- from merit pay to charter schooling -- as measures that they'll tolerate as long as they're reserved for urban schools, but that they won't stand for in their own communities. ...
Gap-closing strategies can be downright unhelpful or counterproductive when it comes to serving most students and families, and so can turn them off to education reform altogether. Longer school years and longer school days can be terrific for disadvantaged students or low achievers, but may be a recipe for backlash if imposed on families who already offer their kids many summer opportunities and extracurricular activities. Policies that seek to shift the "best" teachers to schools and classrooms serving low-achieving children represent a frontal assault on middle-class and affluent families. And responding to such concerns by belittling them is a sure-fire strategy for ensuring that school reform never amounts to more than a self-righteous crusade at odds with the interests of most middle-class families.
This is one reason why Hess rightly bristled at the crusader mentality that informs films like the recent Waiting for 'Superman.'
(3) Education reform has come to be associated with metrics that aren't particularly helpful for schools that serve non-poor students.
Third, achievement-gap mania has prompted reformers to treat schools as instruments to be used in crafting desired social outcomes, capable of being "fixed" simply through legislative solutions and federal policies. This tendency is hardly surprising, given that most of the thinking about achievement gaps is done in the context not of education reform but of "social justice." Thus gap-closers approach the challenge not as educators but as social engineers, determined to see schools fix the problems that job-training initiatives, urban redevelopment, income supports, and a slew of other well-intentioned government welfare programs have failed to address.
With the social engineer's calm assurance that there are clear, identifiable interventions to resolve every problem, today's education reformers insist that closing the achievement gap is a simple matter of identifying "what works" and then requiring schools to do it. And integral to determining "what works" has been evaluating different strategies in terms of their effects on reading and math scores and graduation rates. This approach has been especially popular when it comes to identifying good teachers. But while the ability to move these scores may be 90% of the job for an elementary-school teacher in Philadelphia or Detroit, it doesn't necessarily make sense to use these metrics to evaluate teachers in higher-performing schools -- where most children easily clear the literacy and numeracy bar, and where parents are more concerned with how well teachers develop their children's other skills and talents.
As Hess has argued elsewhere, what we really need is a more diverse ecology of specialized instructional providers tailored to meet the needs of individual students, including advanced and gifted students, rather than rigid carrot-and-stick systems designed to "fix" centralized command-and-control systems not by making them less centralized and command-and-control, but rather by issuing new commands from the center.
(4) This "what works" mentality, which implicitly assumes that there are a few simple nostrums that "work" in every or at least most cases, has proved a barrier to innovation:
Fourth, the achievement-gap mindset stifles innovation. When a nation focuses all its energies on boosting the reading and math scores of the most vulnerable students, there is neither much cause nor much appetite for developing and pursuing education strategies capable of improving American schools overall.
Consider the case of school choice. Today, for all the vague talk of innovation, charter schools and school vouchers rarely do more than allow poor, urban students to move from unsafe, horrific schools into better conventional-looking schools. The leading brands in charter schooling, for instance, almost uniformly feature traditional classrooms; an extended school day, school year, or both; and a reliance on directive pedagogy attuned to the needs of disadvantaged students. In other words, these are terrific 19th-century schools. One has to search long and hard among the nation's more than 5,000 charter schools to find the handful that are experimenting with labor-saving technologies, technology-infused instruction, or new staffing models better suited to the 21st century.
Furthermore, the intense focus on gap-closing has led to a notion of "innovation" dedicated almost entirely to driving up math and reading scores and graduation rates for low-income and minority students. Promising innovations that promote science, foreign-language learning, or musical instruction have garnered little public investment or acclaim. Even in terms of math and reading, there is not much interest in interventions that do not show up on standardized state assessments.
(5) And interestingly, Rick argues that gap-closing has dimmed interest in promoting racially and socioeconomically integrated schools.
As always, the essay is worth reading in full. I haven't done it justice.
One of the most frustrating aspects of working on the improvement of math education is dealing with an educational establishment that makes decisions based on fads and opinions rather than empirical facts.
Now, let us accept that there are different approaches to teaching mathematics, with a major divide between the "reform, discovery approaches" and the more "traditional, direct instruction" approaches. Reform/discovery approaches became the rage among the educational community in the 1990s and I believe it is a major, but not sole, reason that math performance has lagged.
As a scientist, it would seem to me that the next step is clear: test a variety of curriculum approaches in the classroom, insuring the class demographics are similar, and find out what works best. In short, do a carefully controlled experiment with proper statistics and find the truth in an empirical way. But what frustrates me is that such experimentation is virtually never done by the educational bureaucracy. They seem to go from fad to fad and student progress suffers. Reform math, Integrated Math, Teach for America, Whole Language, and many more.
THE idea of moving objects with the power of the mind has fascinated mankind for millennia. At first it was the province of gods, then sorcerers and witches. In the late 19th century psychokinesis, as the trick then came to be known, became a legitimate object of study, as part of the nascent field of parapsychology, before falling into disrepute in the arch-rationalist 20th century. Since the 1990s, however, it has seen something of a revival, under a more scientifically acceptable guise.
There is nothing particularly magical about moving things with thoughts. Human beings perform the feat every time they move a limb, or breathe, by sending electrical impulses to appropriate muscles. If these electrical signals could be detected and interpreted, the argument goes, there is in principle no reason why they could not be used to steer objects other than the thinker's own body. Indeed, over the past two decades brain-computer interfaces (BCIs) which use electrodes implanted in the skull have enabled paralysed patients to control computer cursors, robotic arms and wheelchairs.
[Note from Laurie Rogers: Recently, results from the 2011 state standardized test scores came out, and the general impression given to the public -- for example from the state education agency (OSPI) and from media in Seattle and in Spokane -- was that improvements had been made. It's all in the definitions: How do you define "improvement"? Did some of the numbers go up? Assuredly. Did that mean that real improvments in real academic knowledge had been made? It's best to remain skeptical.
Most students in Spokane are as weak in math skill this year as they were last year. Given a proper math test that assesses for basic skills, many high schoolers still test into 4th or 5th-grade math. College remedial rates are still high. Parents are still frantic, and students are still stressed out about math. So ... what do those higher scores actually mean? I've been trying to find out. It's hard to say.
Many people are familiar with the SETI@home project: a very large scale effort to search for patterns from alien civilizations in the ocean of data we receive from the sky, using the computing power of millions of computers around the globe ("the grid").
SETI@home has been a success, obviously not in finding aliens, but in demonstrating the potential of large-scale distributed computing. Projects like BOINC have been expanding this effort to other fields like biology, medicine and physics.
Last weekend, a team at Joshfire (Thomas, Nathan, Mickael and myself) participated in a 48-hour coding contest called Node Knockout. Rules were simple: code the most amazing thing you can in the weekend, as long as it uses server-side JavaScript.
For students to be career- and college-ready when they complete high school, they must build a strong base of mathematics knowledge. The end of 7th grade provides an important moment to assess how prepared California's students are to succeed in the more advanced math curriculum that starts with algebra.
California's 1997 academic content standards in mathematics outline the stepping stones to algebra, and the Grade 7 Mathematics California Standards Test (CST) provides a benchmark measure of students' readiness.
In addition, 7th grade is the point where students' math course-taking paths clearly begin to diverge:
Web of Science ® provides researchers, administrators, faculty, and students with quick, powerful access to the world's leading citation databases. Authoritative, multidisciplinary content covers over 10,000 of the highest impact journals worldwide, including Open Access journals and over 110,000 conference proceedings. You'll find current and retrospective coverage in the sciences, social sciences, arts, and humanities, with coverage available to 1900.
Overcome information overload and focus on essential data across 256 disciplines.
That's what President George W. Bush had in mind when he signed "No Child Left Behind" into law in 2001. Signaling his strong concerns about that legislation's shortcomings, it is also why Education Secretary Arne Duncan announced earlier this month that he would override the requirement under No Child Left Behind that 100 percent of students be proficient in math and reading by 2014.
Mr. Duncan said he is waiving the law's proficiency requirements for states that have adopted their own testing and accountability programs and are making other strides toward better schools. Without the waivers, he said, 80 percent of American schools would get failing grades under the law.
But No Child Left Behind has an even more pernicious effect - it is discouraging the teaching of science courses, particularly at the elementary level, at a time when America needs them the most. What is more central to our current economy, security and core values than science? Where would we be without Google and Apple, stealth technology, gene-based therapy, and high-tech prosthetics?
Why should mathematicians be in- terested and involved in pre-K-12 mathematics education? What are the benefits of mathematicians working with school teachers and mathematics educators?1 I will answer these questions from my perspective of research math- ematician who became interested in mathematics education, wrote a book for prospective elemen- tary teachers, and taught sixth-grade math a few years ago. I think my answers may surprise you because they would have surprised me not long ago.
It's Interesting!
If you had told me twenty-five years ago, when I was in graduate school studying arithmetic geometry, that my work would shift toward improving pre-K- 12 mathematics education, I would have told you that you were crazy. Sure, I would have said, that is important work, it's probably hard, and somebody needs to do it, but it doesn't sound very interesting. Much to my surprise, this is the work I am now fully engaged in. It's hard, and I believe what I'm doing is useful to improving education, but most surprising of all is how interesting the work is.
Yes, I find it interesting to work on improving pre-K-12 math! And in retrospect, it's easy to see how it could be interesting. Math at every level is beautiful and has a wonderful mixture of intri- cacy, big truths, and surprising connections. Even preschool math is no exception.
A new report on the academic performance of low-income students receiving Tax Credit Scholarships in Florida finds they are making modestly larger gains in reading and math than their counterparts in public school.
That conclusion from 2009-10 test data is encouraging for those of us who work to provide these learning options, which served 34,550 low-income students statewide last year. But the report, released today and written by respected Northwestern University researcher David Figlio, is also a reminder of the inherent complexities of judging whether these programs work.
The work toward attaining "artificial intelligence'' is the center of considerable computer research, design, and application. The
field is in its starting transient, characterized by many varied and independent efforts. Marvin Minsky has been requested to draw this work together into a coherent summary, supplement it with appropriate explanatory or theoretical noncomputer information, and introduce his assessment of the state of the art. This paper emphasizes the class of activities in which a general-purpose computer, complete with a library of basic programs, is further programmed to perform operations leading to ever higher-level information processing functions such as learning and problem solving. This informative article will be of real interest to both the general Proceedings reader and the computer specialist. -- The Guest Editor.
Summary: The problems of heuristic programming--of making computers solve really difficult problems--are divided into five main areas: Search, Pattern-Recognition, Learning, Planning, and Induction. Wherever appropriate, the discussion is supported by extensive citation of the literature and by descriptions of a few of the most successful heuristic (problem-solving) programs constructed to date.
Most of us take it for granted that math works--that scientists can devise formulas to describe subatomic events or that engineers can calculate paths for spacecraft. We accept the view, initially espoused by Galileo, that mathematics is the language of science and expect that its grammar explains experimental results and even predicts novel phenomena.
The power of mathematics, though, is nothing short of astonishing. Consider, for example, Scottish physicist James Clerk Maxwell's famed equations: not only do these four expressions summarize all that was known of electromagnetism in the 1860s, they also anticipated the existence of radio waves two decades before German physicist Heinrich Hertz detected them. Very few languages are as effective, able to articulate volumes' worth of material so succinctly and with such precision. Albert Einstein pondered, "How is it possible that mathematics, a product of human thought that is independent of experience, fits so excellently the objects of physical reality?"
Given recent school-related political conflicts in Wisconsin, it is of interest that only 42 percent of that state's white students are proficient in math, a rate no better than the national average.
At a time of persistent unemployment, especially among the less skilled, many wonder whether our schools are adequately preparing students for the 21st-century global economy. This is the second study of student achievement in global perspective prepared under the auspices of Harvard's Program on Education Policy and Governance (PEPG).
In the 2010 PEPG report, "U.S. Math Performance in Global Perspective," the focus was on the percentage of U.S. public and private school students performing at the advanced level in mathematics.1 The current study continues this work by reporting the percentage of public and private school students identified as at or above the proficient level (a considerably lower standard of performance than the advanced level) in mathematics and reading for the most recent cohort for which data are available, the high-school graduating Class of 2011.
Proficiency in Mathematics
U.S. students in the Class of 2011, with a 32 percent proficiency rate in mathematics, came in 32nd among the nations that participated in PISA. Although performance levels among the countries ranked 23rd to 31st are not significantly different from that of the United States, 22 countries do significantly outperform the United States in the share of students reaching the proficient level in math.
In six countries plus Shanghai and Hong Kong, a majority of students performed at the proficient level, while in the United States less than one-third did. For example, 58 percent of Korean students and 56 percent of Finnish students were proficient. Other countries in which a majority--or near majority--of students performed at or above the proficient level included Switzerland, Japan, Canada, and the Netherlands. Many other nations also had math proficiency rates well above that of the United States, including Germany (45 percent), Australia (44 percent), and France (39 percent).
The wonderkid who at nine became the city's youngest undergraduate four years ago completed his bachelor's and master's programme this week at the age of 13.
March Boedihardjo will now head off to the United States for a research programme and, possibly, a doctorate. The youngster was admitted to Baptist University's double-degree programme in mathematical science in 2007, finishing it in four years - a year early. March said he really enjoyed his university years, despite earlier concerns about how such a young boy would adapt to the life.
Public schools in Memphis, Tennessee, will be consolidated with those of the surrounding county beginning in 2013-14, a federal judge ruled Monday. The decision ends for now a yearslong fight over funding that spilled into questions of race and politics.
The 146-page ruling from Judge Hardy Mays was prompted by a lawsuit and subsequent voter referendum in March that dissolved the Memphis City Schools charter.
"The Memphis City Schools has been abolished for all purposes except the winding down of its operations and the transfer of administration to the Shelby County Board of Education under the terms of Public Chapter 1 and Tennessee education law," wrote Mays. He said the surrender of the city charter did not affect the validity of the city board's actions up until now.
Faced with an increasing stream of data from the Web and other electronic sources, many companies are seeking managers who can make sense of the numbers through the growing practice of data analytics, also known as business intelligence. Finding qualified candidates has proven difficult, but business schools hope to fill the talent gap.
This fall several schools, including Fordham University's Graduate School of Business and Indiana University's Kelley School of Business, are unveiling analytics electives, certificates and degree programs; other courses and programs were launched in the previous school year.
International Business Machines Corp., which has invested more than $14 billion buying analytics industry companies such as Coremetrics and Netezza Corp. since 2005, has teamed up with more than 200 schools, including Fordham, to develop analytics curriculum and training.
Give a kid a chance and you'll be amazed at what happens next.
That thought kept rolling through my mind as I surveyed the controlled chaos that was lunch for 80 teenagers who'd moved onto Stanford's campus to take five summer weeks of intensive math and science courses.
I know. What's so different about a passel of brilliant kids studying hard stuff at Stanford?
Well, for one thing, a pessimist might look at these particular kids working their way through hamburgers, chicken and mashed potatoes, and conclude that they are not college material. In fact, the vast majority of them would be the first in their families to go to college. Nearly all of them attend high schools where most students are poor enough to qualify for free or reduced-priced lunch. Some live in tough neighborhoods. Some dodge gangs on the way to and from school -- and maybe even at school.
But that's not what defines them. Not at all. The kids at Stanford, members of the inaugural class of the Silicon Valley version of the Summer Math and Science Honors Academy (SMASH), are energetic, optimistic, determined, resourceful and approaching brilliant.
As camps go, the Summer Program in Mathematical Problem Solving might
sound like a recipe for misery: six hours of head-scratching math
instruction each day and nights in a college dorm far from home.But Mattie Williams, 13, who attends Middle School 343 in the Bronx, was
happy to attend, giving up summer barbecues with her parents and
afternoons in the park with her Chihuahua, Pepsi. She and 16 other
adolescents are spending three weeks at Bard College here in a free, new camp for low-income students who are gifted in mathematics.
All are entering eighth grade at New York City public middle schools
where at least 75 percent of the student body is eligible for free
lunches. And all love math. At this camp, asking "What kind of math do
you like, algebra or geometry?" is considered an appropriate icebreaker,
and invoking the newly learned term "the multiplication principle"
elicits whoops and high-fives.
In a Bard classroom one afternoon, it seemed for a moment that Arturo
Portnoy had stumped everyone. Dr. Portnoy, a math professor visiting
from the University of Puerto Rico, posed this question: "The length of a
rectangle is increased by 10 percent and the width is decreased by 10
percent. What percentage of the old area is the new area?" The 17 campers whispered and scribbled. One crumpled his paper into a
ball. Mattie Williams may have looked as if she was doodling as she drew
dozens of tiny rectangles in her notebook, but she was hard at work on
the problem, which was taken from the American Mathematics Competitions,
a contest series known for its difficulty. In less than 10 minutes, she had the answer -- 99 percent -- and was ready for the next question.
For some schoolchildren, mathematics is a competitive sport, and summer
is the time for training -- poring over test-prep books, taking practice
exams and attending selective math camps. But for students who cannot
afford such programs, or have not been exposed to many advanced math
concepts, the avenues to new skills are limited.
Daniel Zaharopol, the director of the camp at Bard,
is trying to change that. He has brought four math educators to the
Bard campus to teach the middle school students concepts as varied as
number theory and cryptography. Among the instructors is Mr. Portnoy, a
director of the Puerto Rico Mathematical Olympiads. The camp is financed by the Art of Problem Solving Foundation, the
nonprofit arm of an online school that promotes math education for gifted students. Classes meet in two-hour sessions and cover topics including voting theory, graph theory, and math and the arts.
The point of the program, Mr. Zaharopol said, is not to offer remedial
instruction to struggling students, but rather to challenge those who
already excel. He also hopes to prepare students to participate in
competitions and independent math seminars called math circles, where
low-income students are typically underrepresented. "These are students who have a tremendous amount of potential and are
really ready for a lot more than they're able to get in schools," said
Mr. Zaharopol, who has master's degrees in mathematics and teaching
mathematics.
But they may lack some basic preparation, he said. "If these students
had just gone to the New York City Math Circle this summer, they would
have felt like a fish out of water," he said. "They wouldn't have the
same mathematical background and experience as their peers."
It is common for young people who later specialize in mathematical
fields to begin studying advanced math concepts before they reach high
school. But Andrew Brantlinger, an assistant professor at the University
of Maryland who has researched secondary-school math education, sees
the math pipeline as "overwhelmingly nondiverse." "There are very few women, people of color and people from low-income backgrounds," Dr. Brantlinger said. A summer program designed to address such an achievement gap can be
valuable in theory, he said, but might not be able to accomplish enough
in a short time.
Zvezdelina Stankova, a professor of mathematics at Mills College in
Oakland, Calif., who directs the Berkeley Math Circle at the University
of California, Berkeley, said she had observed the same problem. "Just
like it takes years for a basketball player to develop themselves and
get to the professional league, it's the same for mathematicians," Dr.
Stankova said. "By and large they have done something exceptional before
they get into college."
Jeffrey Pereira, 20, one of the math camp counselors, said he was trying
to impress on the campers the value of their studying math
independently, so they will not simply sit back and coast through
classes that come easy to them when they return to school in September. "In middle school, my experience with math was basically, everything was
really easy to me," said Mr. Pereira, who attended public school in the
Bronx and is now a math major at Bard. "Some of the things they're
doing here, I haven't seen in college yet." Besides helping the campers during classes, Mr. Pereira plays puzzle games with them during free time.
For Mattie, evenings spent socializing at the two-story residence hall
where the students and counselors live have made the camp feel less like
a school and more like a home away from home. Outside of class time, the math whizzes can hike or lounge in the
computer lab. And at least among the 10 girls, conversations are more
often about what to wear the next day (one recent day, they all agreed
to wear blue) than the merits of a particular counting system. "The first night we all sat in each other's rooms and talked about what
we wanted to do, and how, oh, I miss my mom, I miss my dad," Mattie
said. "Then we had a pillow fight."
Kevin Johnson, chief executive of Juniper Networks, one of the biggest network equipment makers, talks to the FT's Paul Taylor about cloud computing, innovation, video and his worries about the failure of the US education system to produce home-grown talent
A teacher at South High for about 10 years, Mr. Nystrom is well-known for actions that grab students' attention in an effort to focus them on learning and achievement. He started out as a substitute teacher and ended up making it his career.
He is the recent recipient of the All American Teacher of the Year Award, in the Massachusetts math division. He is one of 23 U.S. teachers honored by the National Math and Science Initiative. The awards recognize outstanding math, science and English teachers in NMSI's Advanced Placement training and incentive program.
Submit your solutions, or nominate a project for this competition, before August 3, 2011, to create new opportunities for students and schools.
Please join us in congratulating the early-entry-prize winners for the competition!
STEM Lending Library and Resource Center
CONNECT-ED: Professional Development in Science and Mathematics
Out in Science, Technology, Engineering & Mathematics
Careerspotting 4 Kids
Remember, the deadline for all entries is 5PM EDT, August 3, 2011. Submit your entry to be eligible for the following prizes:
Winners Prizes: All entries must be submitted by 5PM EDT, August 3, 2011, to be eligible for the following prizes:
When course requirements at the Massachusetts Institute of Technology shifted 10 years ago, faculty members in the mathematics department found themselves with a new task in their job description. Not only did they have to teach their students to solve equations; they also had to instruct them in writing and communicating effectively on the subject.
This change in duties -- which mirrored similar shifts in the teaching of discipline-specific writing at other institutions -- gave rise to a host of new challenges, from the administrative to the pedagogic, said Haynes Miller, professor of math at MIT. The math faculty there had to learn how to teach the subject from a different perspective -- one in which words, not just numbers and symbols, are given emphasis.
One of the many things I learned producing my film The Finland Phenomenon, was the importance of setting a very high standard for the education and training of teachers.
Finland's high school teachers are required to have both a Bachelors and Masters degree in the subject they teach (e.g. - math, physics, history, etc) combined with one-year of pedagogical training with very heavy emphasis in real classroom teaching experience under the guidance of an outstanding seasoned teacher.
By contrast, most U.S. States require only a Bachelors degree from a college of education with an emphasis in the subject to be taught - and frequently that subject matter is taught by professors in the Education School, not in the actual subject department. Think of it as content and rigor "light" for teachers.
So, what should America do to apply this obvious lesson from Finland? My thoughts:
1- each U.S. State needs to cut off the supply of teachers not sufficiently prepared to teach this generation at its source. The source is colleges of education. A State legislature and Governor can change the requirements to be a teacher in their State. All it takes is courage to withstand the screams from colleges of education - the sacred cash cow of most universities.
2- To teach at the high school level, a State should require the prospective teacher to have at least an undergraduate degree in the subject they plan to teach and from the department that teaches that subject (e.g. - teaching math? Require a B.S. from the Math department).
Once upon a time, the car was the key to understanding the U.S. economy. Then it was the family home. Nowadays, it is any device created by Steven P. Jobs. Call it the Apple economy, and if you can figure out how it works, you will have a good handle on how technology and globalization are redistributing money and jobs around the world.
That was the epiphany of Greg Linden, Jason Dedrick and Kenneth L. Kraemer, a troika of scholars who have made a careful study in a pair of recent papers of how the iPod has created jobs and profits around the world. The latest paper, "Innovation and Job Creation in a Global Economy: The Case of Apple's iPod," was published last month in The Journal of International Commerce and Economics.
One of their findings is that in 2006 the iPod employed nearly twice as many people outside the United States as it did in the country where it was invented -- 13,920 in the United States, and 27,250 abroad.
You probably aren't surprised by that result, but if you are American, you should be a little worried. That is because Apple is the quintessential example of the Yankee magic everyone from Barack Obama to Michele Bachmann insists will pull America out of its job crisis -- the remarkable ability to produce innovators and entrepreneurs. But today those thinkers and tinkerers turn out to be more effective drivers of job growth outside the United States than they are at home.
Florida Leads the Nation in the Percentage of High School Students Enrolled in High Level Classes; Some States Still Leave Low-Income Students Behind; Others Make Surprising Gains
Florida is a state of stark contrasts. Travel a few miles from the opulent mansions of Miami Beach and you reach desperately poor neighborhoods. There's the grinding poverty of sugar cane country and the growing middle class of Jacksonville. All told, half the public-school students in Florida qualify for subsidized lunches. Many are the first in their families to speak English or contemplate attending college.
In many states, those economic differences are reflected in the classroom, with students in wealthy schools taking many more advanced courses.
The Opportunity Gap
But not in Florida. A ProPublica analysis of previously unreleased federal data shows that Florida leads the nation in the percentage of high-school students enrolled in high-level classes--Advanced Placement and advanced math. That holds true across rich and poor districts.
Studies repeatedly have shown that students who take advanced classes have greater chances of attending and succeeding in college.
Our analysis identifies several states that, like Florida, have leveled the field and now offer rich and poor students roughly equal access to high-level courses.
In Kansas, Maryland and Oklahoma, by contrast, such opportunities are far less available in districts with poorer families.
That disparity is part of what experts call the "opportunity gap."
Students across the U.S. are enjoying or getting ready for summer vacation, but teachers may be looking forward to the break even more. American teachers are the most productive among major developed countries, according to Organization for Economic Cooperation and Development data from 2008 -- the most recent available.
Among 27 member nations tracked by the OECD, U.S. primary-school educators spent 1,097 hours a year teaching despite only spending 36 weeks a year in the classroom -- among the lowest among the countries tracked. That was more than 100 hours more than New Zealand, in second place at 985 hours, despite students in that country going to school for 39 weeks. The OECD average is 786 hours.
And that's just the time teachers spend on instruction. Including hours teachers spend on work at home and outside the classroom, American primary-school educators spend 1,913 working in a year. According to data from the comparable year in a Labor Department survey, an average full-time employee works 1,932 hours a year spread out over 48 weeks (excluding two weeks vacation and federal holidays).
The sequencing of the 6 billion chemical "letters" of human DNA was completed in draft in 2000 and in final form in 2003. But clinical benefits have arrived more slowly than the initial hype suggested. This is mainly because the human genome actually works in a much more complex way than predicted by the late-20th-century model.
Twenty-first-century research shows that we have only 21,000 genes, one-fifth of the number predicted when the project started, and that just 1.5 per cent of the genome consists of conventional protein-coding genes. Efforts are under way to understand the vital regulatory and other functions of the non-coding regions of the genome, once dismissed wrongly as "junk DNA".
Parents, do you want to encourage your young people to think mathematically this summer and beyond? Here are some ways to accomplish that.
Preschoolers
Nurturing Mathematically Talented Preschoolers-In this blog entry, Natasha Chen shares her experience on parenting a mathematically precocious child. The author acknowledges that it can be difficult to find a program for three- to five-year-olds, so she offers some tips that she has found useful. Her suggestions include
A mind is a precious thing to waste, so why are millions of America's students wasting theirs by going to college? All of us who have been there know an undergraduate education is primarily a four year vacation interrupted by periodic bouts of cramming or Google plagiarizing, but at least it used to serve a purpose. It weeded out underachievers and proved at a minimum that you could pass an SAT test. For those who made it to the good schools, it proved that your parents had enough money to either bribe administrators or hire SAT tutors to increase your score by 500 points. And a degree represented that the graduate could "party hearty" for long stretches of time and establish social networking skills that would prove invaluable later on at office cocktail parties or interactively via Facebook. College was great as long as the jobs were there.
Now, however, a growing number of skeptics wonder whether it's worth the time or the cost. Peter Thiel, an early investor in Facebook and head of Clarium Capital, a long-standing hedge fund, has actually established a foundation to give 20 $100,000 grants to teenagers who would drop out of school and become not just tech entrepreneurs but world-changing visionaries. College, in his and the minds of many others, is stultifying and outdated - overpriced and mismanaged - with very little value created despite the bump in earnings power that universities use as their raison d'être in our modern world of money.
Fact: College tuition has increased at a rate 6% higher than the general rate of inflation for the past 25 years, making it four times as expensive relative to other goods and services as it was in 1985. Subjective explanation: University administrators have a talent for increasing top line revenues via tuition, but lack the spine necessary to upgrade academic productivity. Professorial tenure and outdated curricula focusing on liberal arts instead of a more practical global agenda focusing on math and science are primary culprits.
Amid the frantic pace of daily family life, it seems almost comical to try to find time to discuss investing with our kids.
Honestly, who really wants to talk about mutual funds in the precious time you have when you're all together?
Yet, many families find a way to share their values about money and investing from generation to generation, whether they're offering tips on being smart shoppers, making the family budget stretch just enough or opening brokerage or savings accounts for youngsters.
In my Getting Going column, in honor of Father's Day, I reflected on the lessons I learned from my father and my grandfather.
They came from very different generations, one influenced by the Great Depression, the other by the growth and prosperity of the 1950s and '60s. One believed in bonds and the other in stocks. Together, they introduced me to the basics of investing--and more importantly, to how to keep the whole process in perspective. While my style is different from either of theirs-( have less tolerance for risk than my dad, but more than my grandfather had-their advice continues to resonate as I plan for my own future.
CyberPatriot is the National High School Cyber Defense Competition created by the Air Force Association (AFA) to excite, educate, and motivate the next generation of cyber defenders and other science, technology, engineering, and mathematics (STEM) graduates our nation needs.
Recommendations #1 - #5:
Recommendations #1-#5 focus on increasing mathematical knowledge for teaching in MMSD 's middle school teachers of mathematics. These recommendations address our workforce, hiring practices, professional development, partnerships with the UW and work with the Wisconsin DPI to change certification requirements.
The C&A Executive Director, C&A Assistant Director, Deputy Superintendent, Assistant Superintendent of Secondary Schools and Mathematics Instructional Resource Teacher met with Human Resources to discuss the implementation of the district-wide expectation for the hiring and retention of Math Specialists. This team created wording to be inserted into all middle school positions that state expectations for teachers involved in teaching mathematics.
The Mathematics Instructional Resource Teacher from Curriculum and Assessment has visited middle schools across Madison to share information with teaching staff and answer questions regarding the Middle School Math Specialist professional development program and the associated expectation for middle school teachers of mathematics. The resource teacher has also met with the Middle School Math Leadership Academy, and the Learning Coordinators to share information and answer questions. A website was created to provide easy access to the needed information. (A copy of the website is attached as Appendix E.)
The Middle School Math Specialist Advisory group that includes UW Mathematics, UW Mathematics Education, Education Outreach and Partnerships, and Madison Metropolitan School District has met throughout the year to provide updates, guidance to the development of the Math Specialist program, and continual feedback on the courses and implementation.
The first cohort of classes in the Middle School Math Specialist program being offered at UW-Madison began in August of20!0. During the first year, the three courses were co-taught by representatives from UW-Mathematics (Shirin Malekpour), UW- ( Mathematics Education (Meg Meyer), and MMSD (Grant Goettl). A total of22 MMSD teachers participated, with seven completing one course, two completing two courses, and ten completing all three offered courses. The topics of study included number properties, proportional reasoning, and geometry.
The first cohort will continue into their second year with eleven participants. The topics of study will include algebra and conjecture. The first cohort will complete the five course sequence in the spring of 2012.
The second cohort is currently being recruited. Advertising for this cohort began in March and sign-up began in April. This cohort will begin coursework in August of 2011. In the first year they will participate in three courses including the study of number properties, proportional reasoning, and geometry. This cohort will complete the five course sequence in the spring of 2013.
The tentative plan for facilitation of the 2011-2012 courses is as follows:
Solving the world's most pressing challenges will require innovations in science, technology, engineering, and mathematics (also called STEM). From climate change to fiscal meltdowns, renewable energy to eradicating diseases, from food security to global and local health, the STEM disciplines are at the very center of our quest to improve our lives and the condition of our world.
If we are to bring new ideas to long-standing problems and new talent to emerging opportunities, we need to educate all of our young people to higher levels of understanding in the STEM fields. Despite the heroic efforts of our nation's best teachers and principals, our schools are ill-equipped to do that: According to international comparisons, U.S. students ranked below 22 countries in science and below 30 countries in math. And yet our communities are filled with many of the world's most talented professionals in these fields. They work in hospitals, universities, and museums; biotech, engineering, and architecture firms; graphic-design and urban-planning studios; hedge funds, banks, and computer-software, gaming, and pharmaceutical companies. They just rarely directly impact our public schools.
In 1964, Sue Kosmo was a high school senior who loved pizza, Pepsi and precalculus, when her parents encouraged her to invest in the stock market.
With a $54 tax return from her part-time bakery job making 75 cents per hour, she bought one share in something familiar -- a cola company marketing itself to a younger generation.
Almost half a century and several stock splits later, Kosmo is cashing in her investment, now worth $10,000, to start a scholarship fund at McFarland High School for young women who excel in math.
The story got the attention of executives at Pepsi, which is donating another $10,000 to Kosmo's scholarship fund.
Local businesses and residents provide more than $1 million a year in scholarships to local college-bound students, though the recent economic downturn has dampened donations somewhat, according to local officials who coordinate local scholarships.
Stacie Bumgarner is a research scientist in the Biology Department at MIT. She leads school outreach efforts for the Office of Educational Innovation & Technology. She is working with JFY Networks to expand the use of two sophisticated science simulations to high school students in Boston:
Call for revolution in English teaching: Professor says multilingual teachers who grew up speaking Cantonese provide a better model for Hong Kong children than native English speakers
English should be taught in Hong Kong by multilingual teachers, not native English speakers, according to a Hong Kong education professor who is organising an international conference on English as a lingua franca, being held in the city.
"It's a revolutionary shift that we're arguing for, and it's that the multilingual way becomes the linguistic model for teaching kids English here, not that of a native English speaker," says Andy Kirkpatrick, chair professor of English as a professional language at the Hong Kong Institute of Education.
Biology used to be about plants, animals and insects, but five great revolutions have changed the way that scientists think about life: the invention of the microscope, the systematic classification of the planet's living creatures, evolution, the discovery of the gene and the structure of DNA. Now, a sixth is on its way - mathematics.
Maths has played a leading role in the physical sciences for centuries, but in the life sciences it was little more than a bit player, a routine tool for analysing data. However, it is moving towards centre stage, providing new understanding of the complex processes of life.
The ideas involved are varied and novel; they range from pattern formation to chaos theory. They are helping us to understand not just what life is made from, but how it works, on every scale from molecules to the entire planet - and possibly beyond.
The biggest revolution in modern biology was the discovery of the molecular structure of DNA, which turned genetics into a branch of chemistry, centred on a creature's genes - sequences of DNA code that specify the proteins from which the gene is made. But when attention shifted to what genes do in an organism, the true depth of the problem of life became ever more apparent. Listing the proteins that make up a cat does not tell us everything we want to know about cats.
Lab technicians at the Beijing Genomics Institute in Shenzhen, China. Clockwise from upper left: Zhi Wei Luo; Wan Ling Li; Zi Long Zhang; and Yu Zhu Xu.
The world's largest genome-mapping facility is in an unlikely corner of China. Hidden away in a gritty neighborhood in Shenzhen's Yantian district, surrounded by truck-repair shops and scrap yards prowled by chickens, Beijing's most ambitious biomedical project is housed in a former shoe factory.
But the modest gray exterior belies the state-of-the-art research inside. In immaculate, glass-walled and neon-lit rooms resembling intensive care units, rows of identical machines emit a busy hum. The Illumina HiSeq 2000 is a top-of-the-line genome-sequencing machine that carries a price tag of $500,000. There are 128 of them here, flanked by rows of similar high-tech equipment, making it possible for the Beijing Genomics Institute (BGI) to churn out more high quality DNA-sequence data than all U.S. academic facilities put together.
"Genes build the future," announces a poster on the wall, and there is no doubt that China has set its eye on that future. This year, Forbes magazine estimated that the genomics market will reach $100 billion over the next decade, with scientists analyzing vast quantities of data to offer new ways to fight disease, feed the world, and harness microbes for industrial purposes. "The situation in genomics resembles the early days of the Internet," says Harvard geneticist George Church, who advises BGI and a number of American genomics companies. "No one knows what will turn out to be the killer apps." Companies such as Microsoft, Google, IBM, and Intel have already invested in genomics, seeing the field as an extension of their own businesses--data handling and management. "The big realization is that biology has become an information science," says Dr. Yang Huanming, cofounder and president of BGI. "If we accept that [genomics] builds on the digitalization of life, then all kinds of genetic information potentially holds value."
Given the importance of economic and financial education, one might expect to find these subjects emphasized in Wisconsin's K-12 schools. Other states are ahead of Wisconsin. Twenty-one states now require high school students to take an economics course; thirteen states require students to take a personal finance course. In Wisconsin, neither is required, so few Wisconsin high school students take a course in economics or personal finance, and few teachers are qualified to teach one.
This widespread disregard has real consequences. The financial crisis from which our nation is currently recovering illustrates some of these, having arisen in part from ill-considered decisions by financially illiterate consumers of credit. For American workers, moreover, the trend away from defined-benefit pensions toward defined-contribution pensions places increasing investment responsibilities in the hands of individuals.
Evidence suggests that improvement will be a challenge. Surveys and assessments of economic and financial education generally yield dismal results. Americans are neither confident in their skills in these areas nor do they perform well on tests of knowledge. Their lack of economic and financial savvy plays out variously -- for example, in the lives of large numbers of Americans who find themselves "unbanked" and reliant on dubious sources of financial services such as payday-loan stores and check-cashing outlets. College students, meanwhile, rack up record levels of credit-card and student-loan debt.
Do you know a teacher who brings learning to life? Whether you're a student, parent, teacher or school administrator, you can nominate your K-6 teacher for a chance to win an all-expense paid trip to Science in the Rockies, Steve Spangler's three-day hands-on science teacher training in Denver.
Most schools are looking for ways to boost achievement and save money. Blended learning is part of the solution. Blended learning is an intentional shift to an online environment for at least a portion of the student day to boost learning and operating productivity. Math is a great place for a school or district to introduce blended learning because it:
facilitates individualized progress
leverages great math teachers
takes advantage of quality math content (open & proprietary)
can be augmented by games and tutorials
School of One, a pilot middle grade math program in New York City, is a good example of multiple modes of instruction aligned with an assessment framework. An early example of a smart recommendation engine creates a unique schedule for each student every day. This important pilot project introduced the idea of a customized learning playlist, but it has not attempted to improve operating productivity.
There have been fresh calls for schools to dump the dull ICT lessons that are turning kids off IT and failing to create the type of IT-savvy employees that UK businesses need.
Earlier this year, a discussion forum on digital skills heard from a BCS member and IT teacher that pupils and teachers are "bored rigid" by ICT lessons in their present form.
Intellect, the trade body for the UK's tech sector, has now called on the government to drop ICT lessons in their current form from the national curriculum and replace them with ones that focus on higher-value computer science skills. The organisation was submitting its response to a Department of Education review of the National Curriculum in England, launched in January this year.
ICT should also be taught by embedding interactive and multimedia technology across every subject, according to Intellect - which believes technology businesses could play a role here to help teachers make the best use of relevant equipment by supporting training.
Intellect reckons the ICT curriculum is too focused on teaching pupils how to use a limited number of software packages and is therefore failing to inspire students to develop more advanced computer skills.
Physicist, neuroscience entrepreneur and businessman, Jon Joseph traded the money and prestige of a flourishing career in corporate America for the opportunity to teach high level calculus, computer science and physics to high school kids. He's doing his thing in the northern Green County community of New Glarus, teaching at a high school where there were exactly zero Advanced Placement courses less than 15 years ago.
A shortened version of his professional resume includes a Ph.D. in physics with a focus on neuroscience from the University of Wisconsin-Madison. While an assistant professor at UW, he founded the Biomagnetic Research Laboratory for brain research. He left academia for the corporate world in 1989, doing brain research for Nicolet Biomedical and later moving to the NeuroCare Division of VIASYS Healthcare, where he was chief technology officer and VP of engineering and new technology. Most recently, he was part of a startup company called Cyberkinetics, where he was vice president of research and development. He got his teaching certificate in 2006, and previously taught in Madison and Middleton. In New Glarus, he heads up the math and computer science department.
Capital Times: Describe the work you did before you became a teacher.
Jon Joseph: I spent a lot of time b
Somewhat related, from a financial and curricular perspective: The Khan Academy.
Gary Stresman stands on a chair in the cafeteria in Nicolet High School addressing a bustling crowd of sixth-, seventh- and eighth-graders. Though it's rather early on a Saturday morning and they are in a school, the students are excited.
They are at a science fair.
It's going to be a great day, Stresman tells them. They should be proud of the work they put into their projects and be ready to have some fun, he says.
"Because science is cool, right?" he asks.
"Right!" they answer him.
That enthusiasm for science fairs - once a staple of school life - doesn't burn as brightly throughout Wisconsin.
In recent years, Wisconsin's statewide science fair, which takes the winners from the eight regional fairs around the state, has drawn about 75 high school students. Milwaukee is down to one districtwide science fair for MPS, after the Milwaukee Regional Science and Engineering Fair folded in 2009.
Richard Miller has had one of the toughest jobs in higher education. The Olin Foundation tapped him a dozen years ago to create an engineering college on a hilltop in the Boston suburb of Needham. When Miller started, there were no buildings, no faculty, no curriculum, no students.
The foundation's mandate: design a boldly original model for a 21st century school whose graduates would be not just accomplished engineers but world-beater entrepreneurs and leaders.
Now the Franklin W. Olin College of Engineering has a wind-swept cluster of six earth-toned buildings, 347 brainy students who pay a maximum of $38,000 tuition, an untenured faculty totaling 25 men and 13 women and a curriculum oriented toward what Miller calls "design based" learning. Miller, who has a Ph.D. in applied mechanics from the California Institute of Technology, has honed his leadership skills as Olin's chief creator and builder. The following is an edited version of an interview with Miller conducted by Inc. contributor Joseph Rosenbloom.
With its intricate mysteries of quadratics, logarithms and imaginary numbers, Algebra II often provokes a lament from high-schoolers.
What exactly does this have to do with real life?
The answer: maybe more than anyone could have guessed.
Of all of the classes offered in high school, Algebra II is the leading predictor of college and work success, according to research that has launched a growing national movement to require it of graduates.
In recent years, 20 states and the District have moved to raise graduation requirements to include Algebra II, and its complexities are being demanded of more and more students.
The effort has been led by Achieve, a group organized by governors and business leaders and funded by corporations and their foundations, to improve the skills of the workforce. Although U.S. economic strength has been attributed in part to high levels of education, the workforce is lagging in the percentage of younger workers with college degrees, according to the Organization of Economic Cooperation and Development.
The Washington State Court of Appeals has reversed an earlier decision in King County Superior Court that found Seattle's choice of a new high-school math series was arbitrary and capricious.
The appellate court found no basis for the Superior Court's conclusion in February 2010 that the Seattle School board "was willful and unreasoning in coming to its decision" when it chose the Discovering Math series of textbooks for algebra and geometry in high school math.
The school district has been using the series since the start of the 2009 school year.
Some parents have criticized the Discovering Math series, saying it is inferior to other series and that its emphasis on verbal descriptions makes it difficult for some students to understand, especially those for whom English is a second language.
Salman Khan talks about how and why he created the remarkable Khan Academy, a carefully structured series of educational videos offering complete curricula in math and, now, other subjects. He shows the power of interactive exercises, and calls for teachers to consider flipping the traditional classroom script -- give students video lectures to watch at home, and do "homework" in the classroom with the teacher available to help.
Khan discusses moving away from the "one size fits all" approach to education. However, he does advocate "peer to peer tutoring".......
The teacher-run Math Night at Madison's Olson Elementary was a chance for parents and children to play math games together, but there's more to the event.
"The real reason behind it is to have families and kids think a little differently about math," said Dawn Weigel Stiegert, instructional resource teacher at Olson.
At the recent second annual event, the activities focused on geometry, measurement and math facts/number work. Each area had games designed for different grade levels and chosen by the teachers to fit with math standards for the various grades. The games allow parents, who learned math differently when they were in school, to see the expectations at the different grade levels and how their children are learning math, Weigel Stiegert said.
Your fifth-grader asks you for help with the day's math homework. The assignment: Create a "stem-and-leaf" plot of the birthdays of each student in the class and use it to determine if one month has more birthdays than the rest, and if so, which month? Do you:
a) Stare blankly
b) Google "stem-and-leaf plot"
c) Say, "Why do you need to know that?"
d) Shrug and say, "I must have been sick the day they taught that in math class."
If you're a parent of a certain age, your kids' homework can be confounding. Blame it on changes in the way children are taught math nowadays -- which can make you feel like you're not very good with numbers.
Well, our math guy, Keith Devlin, is very good at math, and he tells Weekend Edition Saturday host Scott Simon that there's a reason elementary schools are teaching arithmetic in a new way.
"That's largely to reflect the different needs of society," he says. "No one ever in their real life anymore needs to -- and in most cases never does -- do the calculations themselves."
Yet this year, when Vern Williams looked at the Jefferson application, he felt not the usual urge to get his kids in, but a dull depression. On the first page of Jefferson's letter to teachers writing recommendations, in boldface type, was the school board's new focus: It wanted to prepare "future leaders in mathematics, science, and technology to address future complex societal and ethical issues." It sought diversity, "broadly defined to include a wide variety of factors, such as race, ethnicity, gender, English for speakers of other languages (ESOL), geography, poverty, prior school and cultural experiences, and other unique skills and experiences." The same language was on the last page of the application.
"This is just one example of why I have lost all faith in the TJ admissions process," Williams said. "In fact, I'm pretty embarrassed that the process seems no more effective than flipping coins."
IF our state Legislature takes no action this session, Washington state will drop its new, improved math standards for an untested experiment: Common Core "national" standards that have never been used in the classroom and for which assessments have yet to be developed.
And there is a high price tag for such a switch, an expense our state can ill afford. Surprisingly, one of the most profound changes in U.S. education in decades has been virtually uncovered by the national media.
Until two years ago, our state had some of the worst math standards in the country, rated "F" by the Fordham Foundation, and lacking many of the essentials found in standards used by the highest-performing nations. That all changed in 2008, when under the impetus of the state Legislature, a new set of standards, based on world-class math requirements, was adopted.
You've heard this a million (10 to the power of 6) times, but it is frightening. In the 2009 (41 X 49) Program for International Student Assessment US 15-year-olds ranked 25th (4! + 1) among 34 (square root of 1156) countries in math falling behind Canada, New Zealand, Finland, and Asian countries such as China, South Korea, Japan, Singapore, and Hong Kong.
To counter this sad trend, stop by The Math Salon at Mosaic Coffeehouse on February 28th from 4-6 PM:
The results of the PISA survey (http://www.jyu.fi/ktl/pisa/) have brought about satisfaction and pride in Finland. Newspapers and media have advertised that Finnish compulsory school leavers are top experts in mathematics.
However, mathematics teachers in universities and polytechnics are worried, as in fact the mathematical knowledge of new students has declined dramatically. As an example of this one could take the extensive TIMSS 1999 survey, in which Finnish students were below the average in geometry and algebra. As another example, in order not to fail an unreasonably large amount of students in the matriculation exams, recently the board has been forced to lower the cut-off point alarmingly. Some years, 6 points out of 60 have been enough for passing.
This conflict can be explained by pointing out that the PISA survey measured only everyday mathematical knowledge, something which could be - and in the English version of the survey report explicitly is - called "mathematical literacy"; the kind of mathematics which is needed in high-school or vocational studies was not part of the survey. No doubt, everyday mathematical skills are valuable, but by no means enough.
Rarely have school science fairs, a source of pride and panic for generations of American students, achieved such prominence on the national stage. President Obama held one at the White House last fall. And last week he said that America should celebrate its science fair winners like Sunday's Super Bowl champions, or risk losing the nation's competitive edge.
Yet as science fair season kicks into high gear, participation among high school students appears to be declining. And many science teachers say the problem is not a lack of celebration, but the Obama administration's own education policy, which holds schools accountable for math and reading scores at the expense of the kind of creative, independent exploration that science fair projects require.
It's the stuff of legends: A group of men comea across what would be today worth $65 million in gold and silver while on expedition in early-19th-century New Mexico territory. Then, they transport said treasure thousands of miles and bury it in Virginia. One of them, named Thomas Jefferson Beale, leaves three ciphertexts, simply strings of comma-separated numbers, with an innkeeper in Virginia, who forgets about it for more than 20 years.
One day, the innkeeper, realizing that Beale isn't coming back, opens the box and tries to solve the riddle. Frustrated, he then tells the story and passes along the texts to a friend, J.B. Ward, who cracks one of the three ciphertexts, but not the one that actually gives the precise location of the treasure. More than a hundred years go by, and no one can solve the remaining two ciphers, not even with the benefit of modern computers, and the treasure, if it exists, may still be out there, waiting in the mountains of Virginia.
Picking up on this unsolved mystery, modern storyteller Andrew S. Allen created a short film The Thomas Beale Cipher, a refreshingly modern take on this century-old mystery. In Allen's story, Professor White, a cryptographer who has recently run into some poor luck, has figured out a way to solve the Beale ciphers. But this knowledge is dangerous, and federal agents are hunting him down.
A quarter or two ago my son Andy took a rather unique course at the University of Washington. In his Math 480b: Programming for the Working Mathematician course, Andy learned about a number of important topics including the Unix command line, Python programming (including classes, exceptions and decorators). In the second half of the quarter they learned about the Sage open source math system.
The course ended by teaching the students how to make a genuine contribution to Sage. They were asked to find an open bug, figure out how to fix it, fix it, and to create and submit a patch. In essence, they learned a very practical skill that is taught all too rarely in school -- how to be a contributor to an open source project. This is pretty significant. Despite the presence of the word "open", I have come to learn that many people don't understand the actual workings of the process. Walking the students through it, and having them make an actual contribution, will ensure that they leave school with this knowledge under their belt. With any luck it will be easier for them to find jobs and they'll be more useful and more productive once they start.
In Jay Greene's recent blog post, "The Dead End of Scientific Progressivism," he points out that Vicki Phillips, head of education at the Gates Foundation misread her Foundation's own report. Jay's point was that Vicki continued to see what she and others wanted to see: "'Teaching to the test makes your students do worse on the tests.' Science had produced its answer -- teachers should stop teaching to the test, stop drill and kill, and stop test prep (which the Gates officials and reporters used as interchangeable terms)."
I was intrigued by the education establishment's long-held view as Jay paraphrased it. This view has become one of the "enduring truths" of education and I have heard it expressed in the various classes I have been taking in education school the last few years. (I plan to teach high school math when I retire later this year). In terms of math education, ed school professors distinguish between "exercises" and "problems". "Exercises" are what students do when applying algorithms or routines they know and can apply even to word problems. Problem solving, which is preferred, occurs when students are not able to apply a mechanical, memorized response, but rather have to apply prior knowledge to solve a non-routine problem. Moreover, we future teachers are told that students' difficulty in solving problems in new contexts is evidence that the use of "mere exercises" or "procedures" is ineffective and they are overused in classrooms. One teacher summed up this philosophy with the following questions: "What happens when students are placed in a totally unfamiliar situation that requires a more complex solution? Do they know how to generate a procedure? How do we teach students to apply mathematical thinking in creative ways to solve complex, novel problems? What happens when we get off the 'script'?"
Diapers.com warehouses are a bit of a jumble. Boxes of pacifiers sit above crates of onesies, which rest next to cartons of baby food. In a seeming abdication of logic, similar items are placed across the room from one another. A person trying to figure out how the products were shelved could well conclude that no form of intelligence--except maybe a random number generator--had a hand in determining what went where.
But the warehouses aren't meant to be understood by humans; they were built for bots. Every day, hundreds of robots course nimbly through the aisles, instantly identifying items and delivering them to flesh-and-blood packers on the periphery. Instead of organizing the warehouse as a human might--by placing like products next to one another, for instance--Diapers.com's robots stick the items in various aisles throughout the facility. Then, to fill an order, the first available robot simply finds the closest requested item. The storeroom is an ever-shifting mass that adjusts to constantly changing data, like the size and popularity of merchandise, the geography of the warehouse, and the location of each robot. Set up by Kiva Systems, which has outfitted similar facilities for Gap, Staples, and Office Depot, the system can deliver items to packers at the rate of one every six seconds.
One recent night, Mackenzie Stassel was cramming for a quiz in her advanced math course in Montgomery County. Her review of the complicated topics followed hours of other homework. Eventually she started to nod off at the table.
It was 11:15 p.m. Mackenzie is a sixth-grader.
There will be fewer such nights in the future for many Montgomery students.
Last month, Maryland's largest school system announced that it would significantly curtail its practice of pushing large numbers of elementary and middle school students to skip grade levels in math. Parents had questioned the payoff of acceleration; teachers had said students in even the most advanced classes were missing some basics.
Grammar (Time, one hour)
1. Give nine rules for the use of Capital Letters.
2. Name the Parts of Speech and define those that have no modifications.
3. Define Verse, Stanza and Paragraph.
4. What are the Principal Parts of a verb? Give Principal Parts of do, lie, lay and run.
5. Define Case, Illustrate each Case.
6. What is Punctuation? Give rules for principal marks of Punctuation.
7 - 10. Write a composition of about 150 words and show therein that you understand the practical use of the rules of grammar.
Arithmetic (Time, 1.25 hours)
1. Name and define the Fundamental Rules of Arithmetic.
2. A wagon box is 2 ft. deep, 10 feet long, and 3 ft. wide. How many bushels of wheat will it hold?
3. If a load of wheat weighs 3942 lbs., what is it worth at 50 cts. per bu., deducting 1050 lbs. for tare?
4. District No. 33 has a valuation of $35,000. What is the necessary levy to carry on a school seven months at $50 per month, and have $104 for incidentals?
5. Find cost of 6720 lbs. coal at $6.00 per ton.
6. Find the interest of $512.60 for 8 months and 18 days at 7 percent.
7. What is the cost of 40 boards 12 inches wide and 16 ft. long at $20 per m?
8. Find bank discount on $300 for 90 days (no grace) at 10 percent.
9. What is the cost of a square farm at $15 per are, the distance around which is 640 rods?
10. Write a Bank Check, a Promissory Note, and a Receipt.
The news last week that Shanghai students achieved the top scores in math on the international PISA exam was for some of us not exactly a wake-up call (as Secretary of Education Arne Duncan characterized it) or a Sputnik moment (as President Obama called it).
We've seen this result before. We've seen the reactions and the theories and the excuses that purport to explain why the US does so poorly in math. In fact, there are three main variations used to explain why Chinese/Asian students do so well in international exams:
Version 1: They are taught using rote learning and then regurgitate the results on exams that test how well they memorize the procedures of how to solve specific problems.
Version 2: They are taught using the reform methods of a "problem based approach" that doesn't rely on drills, and instills critical thinking and higher order thinking skills
Version 3: The teacher or the culture produces the proper conditions for learning.
The Shanghai math (+1 SD) and science (+.75 SD) scores are almost a full SD above the OECD average of 500 (SD = 100). The top 10 percent of Shanghai math students are all above the 99th percentile for the US. See earlier post for links to Rindermann's work relating school achievement tests like TIMSS and PISA to national IQ estimates, and see here for earlier SD estimates using 2006 PISA data. (Finland has an anomalously low SD in the earlier data. A quick look at the 2009 data shows the following math SDs: Finland 82, USA 91, Korea 89, Japan 94, Germany 98, Shanghai 103, Singapore 104.)
Although Shanghai and Beijing are the richest cities in China, incomes are still quite low compared to the US. Average income in Shanghai is about $10k USD per annum, even PPP adjusted this is about $20k. People live very modestly by the standards of developed countries.
As noted in the comments, there are other places in China that score *higher* than Shanghai on college entrance exams or in math and science competitions. So while Shanghai is probably above the average in China, it isn't as exceptional as is perhaps implied in the Times article.
Taiwan has been moving to an American-style, less test-centric, educational system in the last decade. Educators and government officials (according to local media reports in the last 12 hours) are very concerned about the "low scores" achieved in the most recent PISA :-)
To see how individual states or ethnicities in the US score on PISA, see here and here.
NYTimes: ... PISA scores are on a scale, with 500 as the average. Two-thirds of students in participating countries score between 400 and 600. On the math test last year, students in Shanghai scored 600, in Singapore 562, in Germany 513, and in the United States 487.
In reading, Shanghai students scored 556, ahead of second-place Korea with 539. The United States scored 500 and came in 17th, putting it on par with students in the Netherlands, Belgium, Norway, Germany, France, the United Kingdom and several other countries.
In science, Shanghai students scored 575. In second place was Finland, where the average score was 554. The United States scored 502 — in 23rd place — with a performance indistinguishable from Poland, Ireland, Norway, France and several other countries.
The testing in Shanghai was carried out by an international contractor, working with Chinese authorities, and overseen by the Australian Council for Educational Research, a nonprofit testing group, said Andreas Schleicher, who directs the Organization for Economic Cooperation and Development’s international educational testing program.
Mark Schneider, a commissioner of the Department of Education’s research arm in the George W. Bush administration, who returned from an educational research visit to China on Friday, said he had been skeptical about some PISA results in the past. But Mr. Schneider said he considered the accuracy of these results to be unassailable.
Educators at a small private Christian school in Olde Town Augusta are seeing results with a math curriculum imported from halfway around the world.
For the past three years, Heritage Academy has used Singapore Math as its basal math curriculum for kindergarten through sixth grade.
In the first year the school adopted Singapore Math, all of its kindergarten and first-grade pupils met or exceeded proficiency standards on the Iowa Tests of Basic Skills, as did 80 percent of second-graders.
f you want to get a sense of what's in store for the American workforce, just take a look at how our students match up against the rest of the world in math and science. After all, most of the professions within the U.S. economy that are growing -- healthcare, information technology, and biomedicine -- require extensive training in both subjects.
So how are we doing? Not well, at all.
American 15-year old students scored below average in math and were outperformed by 23 other countries and education systems, according to test results released Tuesday by the Organization for Economic Cooperation and Development's Program for International Student Assessment.
And they didn't do much better in science, ranking 19 among the lot of 65 participating countries and education systems (N.B. "educational systems" are individual cities within a country, like Shanghai).
With China's debut in international standardized testing, students in Shanghai have surprised experts by outscoring their counterparts in dozens of other countries, in reading as well as in math and science, according to the results of a respected exam.
American officials and Europeans involved in administering the test in about 65 countries acknowledged that the scores from Shanghai -- an industrial powerhouse with some 20 million residents and scores of modern universities that is a magnet for the best students in the country -- are by no means representative of all of China.
About 5,100 15-year-olds in Shanghai were chosen as a representative cross-section of students in that city. In the United States, a similar number of students from across the country were selected as a representative sample for the test.
Experts noted the obvious difficulty of using a standardized test to compare countries and cities of vastly different sizes. Even so, they said the stellar academic performance of students in Shanghai was noteworthy, and another sign of China's rapid modernization.
The results also appeared to reflect the culture of education there, including greater emphasis on teacher training and more time spent on studying rather than extracurricular activities like sports.
American teenagers made modest progress on an international exam, but still performed below average in mathematics compared with their peers in other industrialized countries, according to results released Tuesday by the U.S. Department of Education.
The results for American students drew a lukewarm response from U.S. education officials as they seek to boost test scores among high-school and college students. "We're in the middle of the pack; that's not where we want to be," said Stuart Kerachsky, deputy commissioner at the National Center for Education Statistics, an arm of the Department of Education that administers the PISA test in the U.S.
Korea and Finland top the OECD's latest PISA survey of reading literacy among 15-year olds, which for the first time tested students' ability to manage digital information.
The survey, based on two-hour tests of a half million students in more than 70 economies, also tested mathematics and science. The results for 65 economies are being released today.
The next strongest performances were from Hong Kong-China, Singapore, Canada, New Zealand and Japan. Full results here.
The province of Shanghai, China, took part for the first time and scored higher in reading than any country. It also topped the table in maths and science. More than one-quarter of Shanghai's 15-year-olds demonstrated advanced mathematical thinking skills to solve complex problems, compared to an OECD average of just 3%.
In September I had a post about the 2010 Math SAT test results, and reported on the gender differences in favor of males, who scored 34 points higher on average this year than their female counterparts. This follows a persistent 30+ point differential in favor of male high school students that goes back to at least the early 1970s.
This is a follow-up to that post, and the chart above (click to enlarge) displays the results of the 2010 Math SAT test by gender for all scores between 580 and 800 by 10-point intervals. Notice that:
In mathematics classrooms, generalization is an important part of the curriculum.
When students know how to generalize they can identify commonality across cases, extend their reasoning beyond the range in which it originated, and derive broader results from particular cases. But generalization remains difficult for students to do, and for teachers to support.
UW-Madison education professor Amy Ellis studies the processes that support students' productive generalizing in their math classrooms. She considers generalization a dynamic social process as well as an individual cognitive activity.
In a recent study she studied an 8th-grade math class during a 3-week unit on quadratic growth. The class sessions focused on relationships between the height and area of growing rectangles (see illustration). As they grew, the rectangles retained the same height-to-length ratio.
Rahm Emanuel made a campaign promise last week that if elected mayor, he would install a new math and English language curriculum in Chicago's public schools by the end of his first term.
Mr. Emanuel said the new curriculum would be geared toward equipping students with the skills to meet the "common core standards" that education officials in Illinois and more than 40 other states have adopted. In imposing the new standards, the state has left up to the districts the question of how to try to meet those standards.
"I want us, the city of Chicago, to be the first city to adopt the curriculum that teaches toward the common standards," he said in an interview with the Chicago News Cooperative. "Nobody has taken on the initiative."
The effort would better prepare high school graduates for college or the workplace, he said.
High school seniors in Massachusetts are ranked highest in the nation in reading and math ability, according to new test results from the National Assessment of Educational Progress.
The first state-specific results for Grade 12 in 2009 showed that Massachusetts students had the highest scaled score in both the reading and math exams. The Bay State was one of 11 states to participate in the pilot program for states to receive state-specific Grade 12 results.
In a ceremony at Medford High School, Governor Deval Patrick, surrounded by state education officials and hundreds of students, heralded the results as proof of the state's position as a leader in public education.
According to her study, for children to develop the math skills they'll need later on in school, it is essential that parents spend time teaching their children the value of numbers by using concrete examples -- instead of just repeating them out loud.
"Just about all 2-year-olds can rattle off the sequence from one to 10," Levine tells Weekend All Things Considered host Guy Raz. "But then, if you ask them to give you three objects ... they'll just grab a handful."
New spending approved by the Oshkosh school board would cover a gap in math tutoring services that has left four schools with inadequate help for struggling students since last year.
About 13 percent of Oshkosh elementary school students perform below grade level in math, said Director of Curriculum Shelly Muza.
That's better than the average Wisconsin district, which has about 25 percent of elementary students performing below grade level. But budget cuts in the 2009-10 academic year stripped Oakwood, Carl Traeger, Lakeside and Green Meadow schools of math support services after the board decided to fund the $295,000 program with federal Title I dollars - money given only to schools with higher rates of poverty - instead of general fund dollars.
The remaining math intervention teachers who work one-on-one with struggling students can barely keep up. The equivalent of 4.25 full-time teachers are split between about 570 students in 12 elementary schools, said Muza.
In Vancouver last winter, the United States proved its competitive spirit by winning more medals--gold, silver, and bronze--at the Winter Olympic Games than any other country, although the German member of our research team insists on pointing out that Canada and Germany both won more gold medals than the United States. But if there is some dispute about which Olympic medals to count, there is no question about American math performance: the United States does not deserve even a paper medal.
Maintaining our productivity as a nation depends importantly on developing a highly qualified cadre of scientists, engineers, entrepreneurs, and other professionals. To realize that objective requires a system of schooling that produces students with advanced math and science skills. To see how well schools in the United States do at producing high-achieving math students, we compared the percentage of U.S. students in the high-school graduating Class of 2009 with advanced skills in mathematics to percentages of similarly high achievers in other countries.
It is worth looking at the data to see how Wisconsin compares with some other states. Here is the mathematics comparison with Minnesota.
The "state" results are the percent of students ranked as proficient on the state test with the current cut scores being used. The international percent was obtained by using the state results on NAEP (National Assessment of Educational Progress) and this was mapped by comparing levels of problems to the level on TIMSS, (Trends in Mathematics and Science Study).
Grade 4 Mathematics Percent proficient
State International
Wisconsin 74 45
Minnesota 68 55
Massachusetts 49 63
No, the Massachusetts scores were not reversed here. Their cut score levels are set higher than the TIMSS levels.
It is time for the Wisconsin Department of Public Instruction to redo the cut score levels to make them realistic. Parents in Wisconsin are mature enough to be told the truth about how well their children are doing.
Once a week, year six pupils at Ashmount Primary School in North London settle in front of their computers, put on their headsets and get ready for their math class. A few minutes later, their teachers come online thousands of kilometers away in the Indian state of Punjab.
Ashmount is one of three state schools in Britain that decided to outsource part of their teaching to India via the Internet. The service -- the first of its kind in Europe -- is offered by BrightSpark Education, a London-based company set up last year. BrightSpark employs and trains 100 teachers in India and puts them in touch with pupils in Britain through an interactive online tutoring program.
The feedback from pupils, the schools and parents is good so far, and BrightSpark said a dozen more schools, a charity and many more parents were interested in signing up for the lessons. The one-on-one sessions not only cost about half of what personal tutors in Britain charge but are also popular with pupils, who enjoy solving equations online, said Rebecca Stacey, an assistant head teacher at Ashmount.
Five years ago, alarms sounded over America's rapidly falling stature in STEM education.
That's science, technology, engineering and math -- the keys to our nation's prosperity. But U.S. schools weren't keeping up in the fast-changing fields.
Governors dispatched task forces. New programs were launched. Foundations poured in funding. And schools started to make gains.
Now, however, signs are emerging that the momentum of the mid-2000s is slipping away, even as students' needs continue to grow.
tatistical measures such as "mean", "median" and "mode" are measures that give us a sense of where data are located on a number line. They are therefore, sometimes, called "measures of location". I had to think of them this past week as Ursuline College prepares to host the meeting of the Ohio Division of the Mathematical Association of America, which, for the first time in its history, will be located at our small college campus. A group of math professors from throughout Ohio will be descending on our campus this weekend, and my colleague in the math department is responsible for not only arranging to have the conference come to our campus, but also is responsible for taking care of many of the details that go with planning a conference. Always more of a "big picture" person than one who can deal with minutia, I am in awe of the job she is doing. Her involvement ranges from finding work study students to handle registration to arranging to make coffee and hot chocolate herself rather than pay a high price to have it made for the conference. I certainly could never have done such a good job, and I look forward to watching the conference unfold on our campus that is temporarily missing students, who are on a "fall break."
When my colleague joined us at Ursuline almost ten years ago, she immediately signed up to have her membership in the Mathematical Association of America transferred to her new Ursuline College address. However, when she filled out the form to do so, she was unable to find Ursulline College on the list of Ohio campuses from which to choose. She found herself checking "other", and then writing in the name of "Ursuline College." That would have to change, she recalls thinking!
The New York Times ran a story on September 30 about Singapore Math being used in some schools in the New York City area. Like many newspaper stories about Singapore Math, this one was no different. It described a program that strangely sounded like the math programs being promoted by reformers of math education, relying on the cherished staples of reform: manipulatives, open-ended problems, and classroom discussion of problems. The only thing the article didn't mention was that the students worked in small groups.
Those of us familiar with Singapore Math from having used it with our children are wondering just what program the article was describing. Spending a week on the numbers 1 and 2 in Kindergarten? Spending an entire 4th grade classroom period discussing the place value ramifications of the number 82,566? Well, maybe that did happen, but not because the Singapore Math books are structured that way. In fact, the books are noticeably short on explicit narrative instruction. The books provide pictures and worked out examples and excellent problems; the topics are ordered in a logical sequence so that material mastered in the various lessons builds upon itself and is used to advance to more complex applications. But what is assumed in Singapore is that teachers know how to teach the material--the teacher's manuals contain very little guidance. Thus, the decision to spend a week on the numbers 1 and 2 in kindergarten, or a whole class period discussing a single number is coming from the teachers, not the books.
The mistaken idea that gets repeated in many such articles is that Singapore Math differs from other programs by requiring or imparting a "deep understanding" and that such understanding comes about through a) manipulatives, b) pictures, and c) open-ended discussions. In fact, what the articles represent is what the schools are telling the reporters. What newspapers frequently do not realize when reporting on Singapore Math, is that when a school takes on such a program, it means going against what many teachers believe math education to be about; it is definitely not how they are trained in ed schools. The success of Singapore's programs relies in many ways on more traditional approaches to math education, such as explicit instruction and giving students many problems to solve, in some ways its very success represented a slap in the face to American math reformers, many of whom have worked hard to eliminate such techniques being used.
Two primary school pupils from Hong Kong won the top awards in one of Asia's most prestigious maths competitions.
It's the first time that any Hong Kong pupil has won a grand champion award at the International Mathematics Contest which was held in Singapore last month. About 1,000 pupils competed in the event which sees teams from the mainland, Hong Kong, Taiwan, Indonesia, South Korea, Malaysia, the Philippines, Singapore and Thailand battling it out in algebra, geometry, statistics and measurements.
Nine-year-old boy Li Ka-wing scored the highest marks in the Primary Three category and 11-year-old girl Lam Ho-yan was the best pupil for the Primary Five exams.
"Each year, there are good results. However this year, it was very special," the school's principal, Pinky Lam Sui-ping, said. Every year, thousands of Hong Kong pupils applied to compete in the event by sitting online tests, she said.
"At some schools, a teaching load of five courses every academic year is considered excessive. But Sal Khan, as an earlier Slashdot post noted, manages to deliver his mini-lectures an average of 70,000 times a day. BusinessWeek reports that Khan Academy has a new fan in Bill Gates, who's been singing and tweeting the praises of the free-as-in-beer website. 'This guy is amazing,' Gates wrote. 'It is awesome how much he has done with very little in the way of resources.' Gates and his 11-year-old son have been soaking up videos, from algebra to biology. And at the Aspen Ideas Festival in front of 2,000 people, Gates gave Khan a shout-out, touting the 'unbelievable' Khan Academy tutorials that 'I've been using with my kids.'"
UW researchers have found that despite the spoken commitment of state officials and lawmakers, teachers in math and science earn less than other high-school instructors.
Researchers at the University of Washington have found that despite the spoken commitment of state officials and lawmakers, math and science teachers earn less than other high-school instructors.
The way Washington and many other states pay teachers -- with more money going to those with more years of experience and graduate degrees -- has led to the uneven salaries.
Jobs that pay better at nearby high-tech companies may also be a contributing factor, because math and science teachers may be recruited away before they have a chance to reach the higher rungs on the pay ladder, said Jim Simpkins, a researcher on the report, with Marguerite Roza and Cristina Sepe.
Washington State recently passed a law (House Bill 2621) intending to accelerate the teaching and learning of math and science. However, in the two subject areas the state seeks to prioritize, this analysis finds that nineteen of the thirty largest districts in the state spend less per math or science teacher than for teachers in other subjects.
Existing salary schedules are part of the problem. By not allowing any differential compensation for math and science teachers, and instead basing compensation only on longevity and graduate credits, the wage system works to create the uneven salaries.
The analysis finds that in twenty-five of the thirty largest districts, math and science teachers had fewer years of teaching experience due to higher turnover--an indication that labor market forces do indeed vary with subject matter expertise. The subject-neutral salary schedule works to ignore these differences.
We have this thing called Algebra I that exists in very different forms, even within the same school.
That's her admirably candid response to the results of pilot tests of Algebra I and Biology, which demonstrates the gap in proficiency between poor and wealthy students. "On the biology test, just a quarter of the students in the poorest districts were proficient, compared with more than 80 percent in the wealthiest." For Algebra I, "75 percent of students in the poorest districts were deemed "below basic," while that number was 11 percent in the richest districts."
In other words, 75% of NJ's poor students failed both the biology test and the algebra test while only 20% of NJ's wealthy students failed biology and 11% failed algebra. Odds are high, based on Alberti's comment, that the vast majority of the poor students passed their coursework in spite of lack of proficiency.
As legislators and lobbyists congratulate themselves on the 2300 pages of legalese drafted to reform Wall Street banks and the financial services industry, not one paragraph addresses a major reason why the meltdown occurred: how American consumers learn to manage money. According to several mortgage banking studies, nearly 70 percent of the victims of foreclosure admit they did not understand the terms of the deal they signed or the long-term impact on their lives.
Congress had plenty of chances to address this problem. More than 30 bills focused on financial literacy have been introduced since 2006. All of them died in Senate or House committees. None were included in this recent reform bill.
Money, like sex, is supposed to be taught at home but in a 2008 Charles Schwab study, 69% of parents interviewed reported they were more prepared to discuss sex than money with their children.
The Apollo 20 Math Fellows Program is a one-year Urban Education Fellowship Program located in Houston, Texas.
The Houston Independent School District (HISD) is looking for dynamic college graduates to commit one year to improving the academic achievement of inner-city students. You will tutor five pairs of middle- or high-school students in math, every day, for the whole school year. You will have the opportunity to build close relationships with each of your students, and the chance to make a significant impact on their lives. This program is unique in that it is the first large-scale tutoring program integrated into the students' school day that has ever been launched in an urban public school district. With your help, Houston can become a leading innovator in the urban education field.
Over the years, I feel like I've come to know you -- your political leanings and life experiences, your writing style, sense of humor and average snark level. But what about your math skills?
For example: Can you (or any high school student you know) do this?
Show that there are only finitely many triples (x, y, z) of positive integers satisfying the equation abc = 2009(a + b + c).
Or this?
Let n be an integer greater than 3. Points V1, V2, ..., Vn, with no three collinear, lie on a plane. Some of the segments ViVj , with 1 *< i < j < n, are constructed. Points Vi and Vj are neighbors if ViVj is constructed. Initially, chess pieces C1,C2, ...,Cn are placed at points V1, V2, ..., Vn (not necessarily in that order) with exactly one piece at each point. In a move, one can choose some of the n chess pieces, and simultaneously relocate each of the chosen piece from its current position to one of its neighboring positions such that after the move, exactly one chess piece is at each point and no two chess pieces have exchanged their positions. A set of constructed segments is called harmonic if for any initial positions of the chess pieces, each chess piece Ci(1< i < n) is at the point Vi after a finite number of moves. Determine the minimum number of segments in a harmonic set.
(*Note: This sign (<) should read "less than or equal to," but I have some keyboard limitations.)
The State Board of Education is voting Monday on adopting national K-12 curriculum standards in a package that includes an obese, unteachable eighth-grade math course.
Back in May 2009, Gov. Arnold Schwarzenegger, State Board of Education President Ted Mitchell and Superintendent of Public Instruction Jack O'Connell pledged to adopt the then-not-yet-created national curriculum standards only if they "meet or exceed our own."
The pledge these public officials took was wise and honorable. California has K-12 academic-content standards that are widely praised as the best in the nation. For example, the Thomas B. Fordham Institute found on July 21 that California's standards in both English and mathematics are the absolute best in the nation and better than the national standards. Clearly, Fordham's expert reviewers did not agree with the calls we sometimes hear that we must ditch our standards because they are inadequate.
For generations of pre-med students, three things have been as certain as death and taxes: organic chemistry, physics and the Medical College Admission Test, known by its dread-inducing acronym, the MCAT.
So it came as a total shock to Elizabeth Adler when she discovered, through a singer in her favorite a cappella group at Brown University, that one of the nation's top medical schools admits a small number of students every year who have skipped all three requirements.
Until then, despite being the daughter of a physician, she said, "I was kind of thinking medical school was not the right track for me."
Respondents focus their brief on arguing that no reasonable school board would adopt "inquiry-based" high school mathematics textbooks instead of "direct instruction" textbooks. There are "dueling experts" and other conflicting evidence regarding the best available material for teaching high school math, and the Seattle School Board ("the Board") gave due consideration to both sides of the debate before reaching its quasi legislative decision to adopt the Discovering series and other textbooks on a 4-3 vote.
The trial court erred by substituting its judgment for the Board's in determining how much weight to place on the conflicting evidence. Several of the "facts" alleged in the Brief of Respondents ("BR") are inaccurate, misleading, or lack any citation to the record in violation of RAP l0.3(a)(4). The Court should have an accurate view of the facts in the record to decide the important legal issues in this case. The Board is, therefore, compelled to correct any misimpressions that could arise from an unwary reading of respondents' characterization of the facts.
As Massachusetts nears decision time on adopting national education standards, the Boston Herald takes state leaders to task for their support of the Common Core standards, which some analysts say are inferior to current state standards. But fear not, says Education Secretary Paul Reville. If the national standards are inferior, the Bay State can change them. "We will continue to be in the driver's seat."
If only national standardizers -- many of whom truly want high standards and tough accountability -- would look a little further than the ends of their beaks.
I know that I'm inviting trouble with this, but something that Reader wrote in a comment on another thread piqued my interest. I would like to discuss only a narrow question. Please don't expand the discussion.
Writing about Everyday Math and Singapore, Reader wrote: "The fact is, the newer curricula stress more problem solving and discovery. That is, it's doing more than a lot of older curricula."
Here's my question: can problem-solving be taught?
I mean this in the nicest possible way and I don't have an answer myself. I'm not sure, I'm asking. Can people be taught or trained in problem-solving techniques or is it a talent that some people just natively have more than others? Problem solving requires a certain amount of creativity, doesn't it? It can require a flexibility of perspective, curiosity, persistence, and pattern recognition. Can these things be taught or trained?
I have had the pleasure of handing diplomas to some unusual people at commencement. Still, it was startling to see the child walk toward me. He was 9. He looked younger.
He wasn't accepting the diploma for himself, of course. It was for his dad, on active duty in Iraq. He'd sent his son, living on a base in Germany, to get it for him.
"Congratulations," I said. He and his dad deserved it.
At University of Maryland University College (UMUC), our graduates are America's adult learners. Almost all work full time. Half are parents. Their diplomas often reflect the work, sacrifice -- and triumph -- of an entire family.
On Monday, June 21st, we filed our "Brief of Respondent" in the School District appeal of Judge Spector's decision. (Sorry to be late in posting it to this blog; our attorney left town after sending me hard copy, but neglected to email an electronic version of the document we filed.) A link to the brief can be found in the left-hand column, below, under "Legal Documents in Textbook Appeal."
There's no new information, either in the District's brief or our response. You might notice that, rather than acknowledge the catalog of unrelated miscellany in the Seattle Public School District's brief, our attorney, Keith Scully, chose to essentially restate our original case, upon which Judge Spector ruled favorably. He did emphasize certain statements which pertained to claims in the District's brief.
I think Keith has, once again, done a masterful job.
This book has been taken out of print by W. H. Freeman. You are welcome to use it if you like. We believed in 1992 it was the way to introduce theory in Computer Science, and we believe that today.
State and local tax burdens vary greatly from state to state. New Hampshire, for instance, has no income or sales tax -- but its neighbor Vermont has both. Fiscal conservatives say New Hampshire's long history of low taxes has forced the state to keep spending in line. But New Hampshire residents say that tradition of fiscal austerity has exacted a price on the state's schools.
NAEP 4th grade average math scale score: New Hampshire: 251; Wisconsin 244; Vermont 248, Massachusetts 252, Minnesota 249, Iowa 243. Low income: New Hampshire: 237; Wisconsin 229; Vermont 235, Massachusetts 237, Minnesota 234, Iowa 232.
NAEP 4th grade average reading scale score (national average is 220): New Hampshire: 229; Wisconsin 220; Vermont 229, Massachusetts 234, Minnesota 223, Iowa 221. Low income (national average is 206): New Hampshire: 213; Wisconsin 202; Vermont 215, Massachusetts 215, Minnesota 203, Iowa 208.
NAEP 8th grade average reading scale score (national average is 262): New Hampshire: 271; Wisconsin 266; Vermont 272, Massachusetts 274, Minnesota 271, Iowa 265. Low income (national average is 249): New Hampshire: 257; Wisconsin 249; Vermont 260, Massachusetts 254, Minnesota 252, Iowa 253.
The draft standards were released in March and CCSSI allowed the public to submit comments on the draft via their website. Over 10,000 comments were received. The U.S. Coalition for World Class Math was one of the commenter's and I had a hand in drafting comments. We were concerned with the draft standards' use of the word "understand" and pointed out that the use of this verb results in an interpretation by different people for different purposes. I am pleased to see that the final version of the standards has greatly reduced the use of the word "understand", but I remain concerned that 1) it still is used for some standards, resulting in the same problems we raised in our comments, and 2) the word "understand" in some instances has been replaced with "explain".
I am not against teaching students the conceptual underpinnings of procedures. I do not believe, however, that it is necessary to require students to then be able to recite the reasons why a particular procedure or algorithm works; i.e., to provide justification. At lower grade levels, some students will understand such explanations, but many will not. And even those who do may have trouble articulating the reasons. The key is whether they understand how such procedure is to be applied, and what the particular procedure represents. For example, does a student know how to figure out how many 2/3 ounce servings of yogurt are in a ¾ ounce container? If the student knows that the solution is to divide ¾ by 2/3, that should provide evidence that the student understands what fractional division means, without having to ask them to explain what the relationship is between multiplication and division and to show why the "invert and multiply" rule works each and every time.
The class of eighth graders at a Los Angeles middle school tap their rulers and nod their heads to the rhythm of the rap video projected on a screen. It's not Snoop Dogg or Jay-Z.
It's their math teacher, LaMar Queen, using rhyme to help them memorize seemingly complicated algebra and in the process improve their grades.
"It gets stuck in your head," says Cindy Martinez, a 14-year-old whose math grade went from a C-average to a B.
Queen, 26, is now known at Los Angeles Academy as the rap teacher, but his fame has spread far beyond the 2,200-student school in this gritty neighborhood. He's won a national award and shows teachers and parents how to use rap to reach children.
"Math is a bad word in a lot of households," he says. "But if we put it in a form that kids enjoy, they'll learn."
Queen is doing what many veteran educators have done -- using students' music to connect with them. Where teachers once played the rock n' roll tunes of "Schoolhouse Rocks" to explain everything from government to grammar, they now turn to rap to renew Shakespeare or geometry.
"Rap is what the kids respond to," Queen says. "They don't have a problem memorizing the songs at all."
Earlier this week, the New York Times published the first part of a two-part series by John Tierney looking at the current state of women in the sciences--in particular, whether the playing field can ever really be level, or whether innate neural differences mean there will always be more men getting ahead in science and math careers than women.
When Dr. Larry Summers raised the issue to fellow economists and other researchers at a conference in 2005, his hypothesis was caricatured in the press as a revival of the old notion that "girls can't do math." But Dr. Summers said no such thing. He acknowledged that there were many talented female scientists and discussed ways to eliminate the social barriers they faced. Yet even if all these social factors were eliminated, he hypothesized, the science faculty composition at an elite school like Harvard might still be skewed by a biological factor: the greater variability observed among men in intelligence test scores and various traits.
In a class full of aspiring engineers, the big bad wolf had to do more than just huff and puff to blow down the three little pigs' house.
To start, he needed to get past a voice-activated security gate, find a hidden door and negotiate a few other traps in a house that a pair of kindergartners here imagined for the pigs -- and then pieced together from index cards, paper cups, wood sticks and pipe cleaners.
"Excellent engineering," their teacher, Mary Morrow, told them one day early this month.
All 300 students at Clara E. Coleman Elementary School are learning the A B C's of engineering this year, even those who cannot yet spell e-n-g-i-n-e-e-r-i-n-g. The high-performing Glen Rock school district, about 22 miles northwest of Manhattan, now teaches 10 to 15 hours of engineering each year to every student in kindergarten through fifth grade, as part of a $100,000 redesign of the science curriculum.
The Board has two work sessions scheduled for this month.
The first, today, Thursday June 10 from 6:00pm to 8:00pm, will be on Math. No agenda details are available but there is sure to be a powerpoint and it is sure to appear on the District web site soon. I have to believe that the Board is looking for a report on the implementation of the curricular alignment, the implementation of the Theory of Action from the High School textbook adoption, and some update on student academic progress in math.
Next week, on Wednesday, June 16, from 4:00pm to 5:30pm, will be a Board Work Session on Advanced Learning. I honestly cannot imagine what the District staff will have to report
Mr Green, speaking at the Hay Festival on the Welsh borders on Saturday, said it would be of particular relevance to those who would grow up to become part of the sub-prime market.
"Part of the answer lies in financial literacy education in schools," said Mr Green, promoting his 2009 book Good Value: Reflections on Money, Morality and an Uncertain World.
"I really don't think it's wise in the circumstances of modern life to have people come out of the school system into working life or, sadly, often not working life, without the very basics of financial literacy."
Mr Green, who has been chairman of HSBC since 2005, and is also an ordained priest, was keen to stress that there was a social imperative for banking services to be open to those on lower incomes.
However, he said some forms of lending were unacceptable, citing 110pc mortgages, and said those at the bottom end of the market may not have had proper understanding or access to information when taking out such loans.
Math and language arts standards likely will become more rigorous in Utah schools.
As part of a widespread movement toward common academic goals, the Utah Board of Education gave preliminary approval Friday to a new set of language arts and mathematics standards for children in grades K-12, developed for a group of 48 states, two territories and the District of Columbia. If the plan gains final approval in August, state officials plan to overhaul Utah's language arts and math curricula over the next five years to reflect the new goals, which are more ambitious in some ways than Utah's current ones, said Brenda Hales, state associate superintendent.
"They are high standards," said state Superintendent Larry Shumway. "They are high and they are rigorous. I don't have any doubt they will be a step forward for us as a state."
The District's Appeal Brief is in -- A link to the appeal is shown on the lower left.
The Seattle School District's first brief in its appeal of Judge Spector's decision was filed on Friday. To me, it is not surprising that its arguments are weak. I don't think we could ever have scored this unprecedented victory had our case not been extremely well founded. Nonetheless, one can't predict what the appeals panel will rule.
Basically, the brief restates the district's original contention that, because the specified process was followed, any decision made by the board, (I might add -- regardless of how it flouted overwhelming evidence) must stand. Also, the brief misstates and misinterprets many aspects of our case. One of the most egregious examples is the contention that the court overstepped its authority by making a decision on curriculum. Not so - the court simply remanded the board's decision back to the board on the basis of the lack of evidence to support the decision.
We have 30 days to file our response brief (by June 21), and SPS has 15 days after (by July 6) to file its rebuttal. Our attorney tells me that a hearing will be scheduled after all briefs have been filed.
Under the state's new math curriculum, lower scores plus a quicker pace of instruction equal greater anxiety for both students and their teachers.
"In my classes, I have 60 kids and only 17 are passing. You know how stressful that is on me?" said Donna Aker, a veteran math teacher at South Gwinnett High School.
It's a problem common to many metro Atlanta schools. Nearly one in five ninth-graders in metro Atlanta last year got an F in Math I -- the first year of the state's new math curriculum in high school.
The math failure rate was more than double that experienced by the same group of kids in the eighth grade the year before.
Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. Dan Meyer shows classroom-tested math exercises that prompt students to stop and think. (Recorded at TEDxNYED, March 2010 in New York, NY. Duration: 11:39)
We now have, I suggest, an analogous risk from the widespread application of "the evidence-based techniques and processes of literacy instruction, k-12." At least one major foundation and one very old and influential college for teachers are now promoting what I have described as "guidelines, parameters, checklists, techniques, rubrics, processes and the like, as props to substitute for students' absent motivation to describe or express in writing something that they have learned."
Most of these literacy experts are psychologists and educators, rather than historians or authors of literature. Samuel Johnson, an 18th century author some may remember, once wrote that "an author will turn over half a library to produce one book." A recent major foundation report suggests that Dr. Johnson didn't know what he was talking about when it comes to adolescents:
"Some educators feel that the 'adolescent literacy crisis' can be resolved simply by having adolescents read more books. This idea is based on the misconception that the source of the problem is 'illiteracy.' The truth is that adolescents--even those who have already 'learned how to read'--need systematic support to learn how to 'read to learn' across a wide variety of contexts and content." So, no need for adolescents to read books, just give them lots of literacy kudzu classes in "rubrics, guidelines, parameters, checklists, techniques, and processes..."
Other literacy kudzu specialists also suggest that reading books is not so important, instead that: (to quote a recent Washington Post article by Psychologist Dolores Perin of Teachers College, Columbia) "many students cannot learn well from a content curriculum because they have difficulty reading assigned text and fulfilling subject-area writing assignments. Secondary content teachers need to understand literacy processes and become aware of evidence-based reading and writing techniques to promote learners' understanding of the content material being taught. Extended school-based professional development should be provided through collaborations between literacy and content-area specialists."
E.D. Hirsch has called this "technique" philosophy of literacy instruction, "How-To-Ism" and says that it quite uselessly tries to substitute methods and skills for the knowledge that students must have in order to read well and often, and to write on academic subjects in school.
Literacy Kudzu has been with us for a long time, but it has received new fertilizer from large private foundation and now federal standards grants which will only help it choke, where it can, attention to the reading of complete books and the writing of serious academic papers by the students in our schools.
Writing in Insidehighereducation.com, Lisa Roney recently said: "But let me also point out that the rise of Composition Studies over the past 30 or 40 years does not seem to have led to a populace that writes better."
Educrat Professors and Educrat Psychologists who have, perhaps, missed learning much about history and literature during their own educations, and have not made any obvious attempt to study their value in their education research, of course fall back on what they feel they can do: teach processes, skills, methods, rubrics, parameters, and techniques of literacy instruction. Their efforts, wherever they are successful, will be a disaster, in my view, for teachers and students who care about academic writing and about history and literature in the schools.
In a recent issue of Harvard Magazine an alum wrote: "Dad ( a professional writer) used to tell us what he felt was the best advice he ever had on good writing. One of his professors was the legendary Charles Townsend Copeland, A.B. 1882, Boylston Professor of Rhetoric and Oratory. Copeland didn't collect themes and grade them. Rather, he made an appointment with each student to come to his quarters in Hollis Hall to read his theme and receive comments from the Master..."Dad started reading his offering and heard occasional groans and sighs of anguish from various locations in the (room). Finally, Copeland said in pained tones, 'Stop, Mr. Duncan, stop.' Dad stopped. After several seconds of deep silence, Copeland asked, 'Mr. Duncan, what are you trying to say?' Dad explained what he was trying to say. Said Copeland, 'Why didn't you write it down?'"
This is the sort of advice, completely foreign to the literacy kudzu community, which understands that in writing one first must have something to say (knowledge) and then one must work to express that knowledge so it may be understood. That may not play to the literacy kudzu community's perception of their strengths, but it has a lot more to do with academic reading and writing than anything they are working to inflict on our teachers and students.
I hope they, including the foundations and the university consultant world, may before too long pause to re-consider their approach to literacy instruction, before we experience the damage from this pest-weed which they are presently, perhaps unwittingly, in the method-technique-process of spreading in our schools.
The idea of a tangent line is central to many aspects of mathematics. In geometry, we study when a line rests on another figure at just one point, the point of tangency. In calculus, the slope of the line tangent to a curve at a point becomes the "derivative" of that curve at that point. One can even think of tangencies in more than one dimension. Imagine an (x,y) plane drawn on a table with a three dimensional object resting on it. One can therefore find a point of tangency in the x direction, and also one in the y direction. I found myself thinking of this recently when two dates almost coincided this past week. This past week, I celebrated my birthday and in a few days I will celebrate Mother's Day. In many ways, these two dates are tangential in two dimensions.
They are tangential in the sense that this year they both appear in the same week, with my birthday on Tuesday and Mother's Day on Sunday. In the years in which we wanted to be parents but could not, Mother's Day was a painful day that I often wished would just go away. I was most disturbed when the church I went to focused on mothers and Mother's Day, leaving those of us without children feeling like second class citizens. I would often leave crying, with my heart even more broken.
It was during those years that I discovered the true history of Mother's Day, which made the pain of the day seem less stinging. For, despite what the people at the greeting card companies want us to believe, Mother's Day began as a day of Peace, with a call to all mothers to pause for a minute to work to create a world in which peace could thrive. I have a copy of the original declaration of Mother's Day, written in 1870 by Juliet Ward Howe, hanging on my office door. It invites mothers to take a day away from their chores to help build a better world for all of our children. The celebration on Sunday is therefore much more than an excuse to buy flowers or chocolate (but I will still happily take the chocolate, thank you!)
"Serious reform like Escalante's cannot be accomplished single-handedly in one isolated classroom; it requires change throughout a department and even in neighboring schools."
In real life, though, Escalante didn't teach the calculus course until his fifth year. In his first attempt, five students completed the course and two passed the AP test. A critic might write "just five students" or "only two," though anyone familiar with both the difficulty of the exam and the extent of math deficiencies in an underperforming school recognizes this as a laudable feat.
Still, it took Escalante eight years to build the math program that achieved what "Stand and Deliver" shows: a class of 18 who pass with flying colors. During this time, he convinced the principal, Henry Gradillas, to raise the school's math requirements; he designed a pipeline of courses to prepare Garfield's students for AP calculus; he became department head and hand-selected top teachers for his feeder courses; he and Gradillas even influenced the area junior high schools to offer algebra. In other words, to achieve his AP students' success, he transformed the school's math department. Escalante himself emphasized in interviews that no student went the way of the film's Angel: from basic math in one year to AP calculus in the next.
It's 6:30 p.m., that after-dinner time slot when my daughter and I play our least-favorite game show, "Are You Smarter Than A Third-Grader?"
Claire's homework often consists of a page of math problems. And when a math-averse third-grader teams with her writer father to tackle the evening's homework, what typically results is math problems.
My daughter is a bookworm and, like her father, a bit of a right-brainer. We are the type of people who can conjugate verbs in multiple languages, sketch the image of a long-lost friend from memory, or summarize the day's events in haiku. But we couldn't balance a checkbook if the Earth's fate depended on it.
A sheet of math problems gives us a cold chill, like when someone walks over your grave, or you accidentally walk in on your grandmother in the bathtub. Claire already is being asked to multiply and divide double-digit figures, and last week she brought home a worksheet requiring her to compute the area and volume of prisms. I don't remember being asked to handle such concepts in third grade. But maybe I blocked it out, just like the mental image of Grandma in the tub.
Bill Gates, chairman of Microsoft Corp. and co-chairman of the Bill & Melinda Gates Foundation, attended math class at Foothill College April 20.
The software pioneer visited the Los Altos Hills campus to do some homework on Foothill's Math My Way program, designed to help students grasp basic math concepts, outperform their peers and advance faster to college-level math classes.
Nineteen Math My Way students were told in advance that a special guest wanted to observe instructors Nicole Gray of Sunnyvale, Rachel Mudge of Mountain View and Kathy Perino of Campbell, to gain a better understanding of how they teach developmental math. Students were surprised when Gates and members of his foundation walked into the classroom, but quickly got to work on the math problems at hand. Later, the students had an opportunity to talk with Gates about how the methods used in the class are making a difference for them.
Gates and his team are reviewing models and best practices in developmental mathematics education. They heard about Math My Way during a meeting at the Gates Foundation offices in Seattle with Foothill-De Anza Chancellor Linda Thor, who was invited to discuss her experiences with online learning programs.
In the fall of 1970, I dropped out of the University of Michigan during my senior year with the intention of never re turning. I was a math major and I convinced myself that I would have a better chance being a writer than a mathematician
In the fall of 1970, I dropped out of the University of Michigan during my senior year with the intention of never re turning. I was a math major and I convinced myself that I would have a better chance being a writer than a mathematician. I figured I would work at any job I could get to support myself. The only job I could get was unloading telephone books from a truck into the cars of people who were to deliver them. The job was to last three days--I quit after the first. During that first day, around the time when my arms became like rubber and I could hardly even lift one phone book, I had a flash of insight and decided to return to school and get my degree. Then I would become a writer. In the summer of 1971, I got my degree, and vowed to never again set foot in another math classroom in my life, and told myself that if I ever did I would puke.
America's future math teachers, on average, earned a C on a new test comparing their skills with their counterparts in 15 other countries, significantly outscoring college students in the Philippines and Chile but placing far below those in educationally advanced nations like Singapore and Taiwan.
The researchers who led the math study in this country, to be released in Washington on Thursday, judged the results acceptable if not encouraging for America's future elementary teachers. But they called them disturbing for American students heading to careers in middle schools, who were outscored by students in Germany, Poland, the Russian Federation, Singapore, Switzerland and Taiwan.
On average, 80 percent to 100 percent of the future middle school teachers from the highest-achieving countries took advanced courses like linear algebra and calculus, while only 50 percent to 60 percent of their counterparts in the United States took those courses, the study said.
Wisconsin students continued to make steady gains in math proficiency in 2009-'10, boasting their best performance in five years, even as reading scores remained flat over that same time period, according to statewide test results released Wednesday.
Yet even though the overall proportion of students deemed proficient or advanced in math increased to 77.3% on the Wisconsin Knowledge and Concepts Examinations from 72.8% in 2005-'06, the share of students considered at least proficient in 10th grade - the highest grade tested - decreased in that time.
The share of Wisconsin 10th-graders who scored proficient or advanced in math was 69.8% this school year, compared with 71.6% five years ago.
Meanwhile, reading proficiency remained almost constant, with 81.6% of students considered proficient or advanced on this year's test vs. 81.7% in 2005-'06, when the current version of the WKCE first was implemented.
For nearly an hour, no one speaks a word of English in this first-grade math class.
Not the teacher, Ying Ying Wu, who talks energetically in Mandarin's songlike tones.
Not the students -- 6- and 7-year-olds who seem to follow along fine, even though only one speaks Mandarin at home.
Even the math test has been translated, by Wu, into Chinese characters.
At Beacon Hill International School, many students learn a second language along with their ABCs by spending half of each school day immersed in Mandarin Chinese or Spanish.
It explores two different approaches to math; one is representative of the fuzzy math side of things, and the other is in the traditionalist camp. I make it clear what side I'm on. I talk about how the fuzzy side uses what I call a "separate path" in which students are given open ended and ill posed problems as a means to teach them how to apply prior knowledge in new situations. I present two different problems, one representing each camp.
The math may prove challenging for some readers, though high school math teachers should have no problems with it.
Much has been written about the debate on how best to teach math to students in K-12--a debate often referred to as the "math wars". I have written much about it myself, and since the debate shows no signs of easing, I continue to have reasons to keep writing about it. While the debate is complex, the following two math problems provide a glimpse of two opposing sides:
Problem 1: How many boxes would be needed to pack and ship one million books collected in a school-based book drive? In this problem the size of the books is unknown and varied, and the size of the boxes is not stated.
Problem 2: Two boys canoeing on a lake hit a rock where the lake joins a river. One boy is injured and it is critical to get a doctor to him as quickly as possible. Two doctors live nearby: one up-river and the other across the lake, both equidistant from the boys. The unhurt boy has to fetch a doctor and return to the spot. Is it quicker for him to row up the river and back, or go across the lake and back, assuming he rows at the same constant rate of speed in both cases?
The first problem is representative of a thought-world inhabited by education schools and much of the education establishment. The second problem is held in disdain by the same, but favored by a group of educators and math oriented people who for lack of a better term are called "traditionalists".
From 1982 to 1987 I stalked Jaime Escalante, his students and his colleagues at Garfield High School, a block from the hamburger-burrito stands, body shops and bars of Atlantic Boulevard in East Los Angeles. I was the Los Angeles bureau chief for The Washington Post, allegedly covering the big political, social and business stories of the Western states, but I found it hard to stay away from that troubled high school.
I would show up unannounced, watch Jaime teach calculus, chat with Principal Henry Gradillas, check in with other Advanced Placement classes and in the early afternoon call my editor in Washington to say I was chasing down the latest medfly outbreak story, or whatever seemed believable at the time.
Escalante, who died Tuesday from cancer at age 79, did not become nationally famous until 1988, when the feature film about him, "Stand and Deliver," was released, and my much-less-noticed book, "Escalante: The Best Teacher in America," also came out. I had been drawn to him, as filmmakers Ramón Menéndez and Tom Musca were, by the story of a 1982 cheating scandal. Eighteen Escalante students had passed the Advanced Placement Calculus AB exam. Fourteen were accused of cheating by the Educational Testing Service, based on similarities in their answers. Twelve took the test again, this time heavily proctored, and passed again.
Jaime Escalante, the charismatic former East Los Angeles high school teacher who taught the nation that inner-city students could master subjects as demanding as calculus, died Tuesday. He was 79.
The subject of the 1988 film "Stand and Deliver," Escalante died at his son's home in Roseville, Calif., said actor Edward James Olmos, who portrayed the teacher in the film. Escalante had bladder cancer.
"Jaime didn't just teach math. Like all great teachers, he changed lives," Olmos said earlier this month when he organized an appeal for funds to help pay Escalante's mounting medical bills.
Escalante gained national prominence in the aftermath of a 1982 scandal surrounding 14 of his Garfield High School students who passed the Advanced Placement calculus exam only to be accused later of cheating.
A Chicago Public Schools policy that dramatically increased science requirements did not help students learn more science and actually may have hurt their college prospects, according to a new report from the Consortium on Chicago School Research at the University of Chicago.
The science policy was part of a larger CPS initiative to expose all students to a college-preparatory curriculum by increasing course requirements across a range of subjects.
Though CPS high school students took and passed more college-prep science courses under the new policy, overall performance in science classes did not improve, with five of every six students earning Cs or lower. College-going rates declined significantly among graduates with a B average or better in science, and they dipped for all students when researchers controlled for changes in student characteristics over time.
Knowing pi to 30 digits is not something I regularly brag about. In fact, a teacher told me the length to which one can recite pi is inversely related to one's chances of obtaining a date. That may be true, but I thought it would at least increase my chances of receiving admission to M.I.T.
Befittingly, the university posted admission decisions on 3/14 at 1:59, the time of pi day universally enjoyed among fellow nerds.
Unfortunately, my logic proved incorrect, as I was not offered admittance into M.I.T.
Issaquah and Sammamish are home to a well educated population, many of which are employed in professional and high tech occupations. Thus, it is surprising that the Issaquah School District administration is doing everything possible to place very poor math books in its schools.
Tomorrow (Wednesday, March 24) night the Issaquah School Board will vote on the administration's recommendation for the Discovering Math series in their high schools. These are very poor math texts:
(1) Found to be "unsound" by mathematicians hired the State Board of Education.
(2) Found to be inferior to a more traditional series (Holt) by pilot tests by the Bellevue School District
(3) That have been rejected by Bellevue, Lake Washington, North Shore, and Shoreline (to name only a few)
(4) Whose selection by the Seattle School District was found to be arbitrary and capricious by King County Judge Spector.
(5) That are classic, weak, inquiry or "reform" math textbooks that stress group work, student investigations, and calculator use over the acquisition of key math skills.
America's nearly last-place finish in the Third International Mathematics and Sciences Study of student achievement caused widespread consternation this February, except in the one place it should have mattered most: the nation's teacher education schools. Those schools have far more important things to do than worrying about test scores--things like stamping out racism in aspiring teachers. "Let's be honest," darkly commanded Professor Valerie Henning-Piedmont to a lecture hall of education students at Columbia University's Teachers College last February. "What labels do you place on young people based on your biases?" It would be difficult to imagine a less likely group of bigots than these idealistic young people, happily toting around their handbooks of multicultural education and their exposés of sexism in the classroom. But Teachers College knows better. It knows that most of its students, by virtue of being white, are complicitous in an unjust power structure.
The crusade against racism is just the latest irrelevancy to seize the nation's teacher education schools. For over eighty years, teacher education in America has been in the grip of an immutable dogma, responsible for endless educational nonsense. That dogma may be summed up in the phrase: Anything But Knowledge. Schools are about many things, teacher educators say (depending on the decade)--self-actualization, following one's joy, social adjustment, or multicultural sensitivity--but the one thing they are not about is knowledge. Oh, sure, educators will occasionally allow the word to pass their lips, but it is always in a compromised position, as in "constructing one's own knowledge," or "contextualized knowledge." Plain old knowledge, the kind passed down in books, the kind for which Faust sold his soul, that is out.
The education profession currently stands ready to tighten its already viselike grip on teacher credentialing, persuading both the federal government and the states to "professionalize" teaching further. In New York, as elsewhere, that means closing off routes to the classroom that do not pass through an education school. But before caving in to the educrats' pressure, we had better take a hard look at what education schools teach.
The course in "Curriculum and Teaching in Elementary Education" that Professor Anne Nelson (a pseudonym) teaches at the City College of New York is a good place to start. Dressed in a tailored brown suit, and with close-cropped hair, Nelson is a charismatic teacher, with a commanding repertoire of voices and personae. And yet, for all her obvious experience and common sense, her course is a remarkable exercise in vacuousness.
As with most education classes, the title of Professor Nelson's course doesn't give a clear sense of what it is about. Unfortunately, Professor Nelson doesn't either. The semester began, she said in a pre-class interview, by "building a community, rich of talk, in which students look at what they themselves are doing by in-class writing." On this, the third meeting of the semester, Professor Nelson said that she would be "getting the students to develop the subtext of what they're doing." I would soon discover why Professor Nelson was so vague.
"Developing the subtext" turns out to involve a chain reaction of solipsistic moments. After taking attendance and--most admirably--quickly checking the students' weekly handwriting practice, Professor Nelson begins the main work of the day: generating feather-light "texts," both written and oral, for immediate group analysis. She asks the students to write for seven minutes on each of three questions; "What excites me about teaching?" "What concerns me about teaching?" and then, the moment that brands this class as hopelessly steeped in the Anything But Knowledge credo: "What was it like to do this writing?"
This last question triggers a quickening volley of self-reflexive turns. After the students read aloud their predictable reflections on teaching, Professor Nelson asks: "What are you hearing?" A young man states the obvious: "Everyone seems to be reflecting on what their anxieties are." This is too straightforward an answer. Professor Nelson translates into ed-speak: "So writing gave you permission to think on paper about what's there." Ed-speak dresses up the most mundane processes in dramatic terminology--one doesn't just write, one is "given permission to think on paper"; one doesn't converse, one "negotiates meaning." Then, like a champion tennis player finishing off a set, Nelson reaches for the ultimate level of self-reflexivity and drives it home: "What was it like to listen to each other's responses?"
The self-reflection isn't over yet, however. The class next moves into small groups--along with in-class writing, the most pervasive gimmick in progressive classrooms today--to discuss a set of student-teaching guidelines. After ten minutes, Nelson interrupts the by-now lively and largely off-topic conversations, and asks: "Let's talk about how you felt in these small groups." The students are picking up ed-speak. "It shifted the comfort zone," reveals one. "It was just acceptance; I felt the vibe going through the group." Another adds: "I felt really comfortable; I had trust there." Nelson senses a "teachable moment." "Let's talk about that," she interjects. "We are building trust in this class; we are learning how to work with each other."
Now, let us note what this class was not: it was not about how to keep the attention of eight-year-olds or plan a lesson or make the Pilgrims real to first-graders. It did not, in other words, contain any material (with the exception of the student-teacher guidelines) from the outside world. Instead, it continuously spun its own subject matter out of itself. Like a relationship that consists of obsessively analyzing the relationship, the only content of the course was the course itself.
How did such navel-gazing come to be central to teacher education? It is the almost inevitable consequence of the Anything But Knowledge doctrine, born in a burst of quintessentially American anti-intellectual fervor in the wake of World War I. Educators within the federal government and at Columbia's Teachers College issued a clarion call to schools: cast off the traditional academic curriculum and start preparing young people for the demands of modern life. America is a forward-looking country, they boasted; what need have we for such impractical disciplines as Greek, Latin, and higher math? Instead, let the students then flooding the schools take such useful courses as family membership, hygiene, and the worthy use of leisure time. "Life adjustment," not wisdom or learning, was to be the goal of education.
The early decades of this century forged the central educational fallacy of our time: that one can think without having anything to think about. Knowledge is changing too fast to be transmitted usefully to students, argued William Heard Kilpatrick of Teachers College, the most influential American educator of the century; instead of teaching children dead facts and figures, schools should teach them "critical thinking," he wrote in 1925. What matters is not what you know, but whether you know how to look it up, so that you can be a "lifelong learner."
Two final doctrines rounded out the indelible legacy of progressivism. First, Harold Rugg's The Child-Centered School (1928) shifted the locus of power in the classroom from the teacher to the student. In a child-centered class, the child determines what he wants to learn. Forcing children into an existing curriculum inhibits their self-actualization, Rugg argued, just as forcing them into neat rows of chairs and desks inhibits their creativity. The teacher becomes an enabler, an advisor; not, heaven forbid, the transmitter of a pre-existing body of ideas, texts, or worst of all, facts. In today's jargon, the child should "construct" his own knowledge rather than passively receive it. Bu the late 1920s, students were moving their chairs around to form groups of "active learners" pursuing their own individual interests, and, instead of a curriculum, the student-centered classroom followed just one principle: "activity leading to further activity without badness," in Kilpatrick's words. Today's educators still present these seven-decades-old practices as cutting-edge.
As E.D. Hirsch observes, the child-centered doctrines grew out of the romantic idealization of children. If the child was, in Wordsworth's words, a "Mighty Prophet! Seer Blest!" then who needs teachers? But the Mighty Prophet emerged from student-centered schools ever more ignorant and incurious as the schools became more vacuous. By the 1940s and 1950s, schools were offering classes in how to put on nail polish and how to act on a date. The notion that learning should push students out of their narrow world had been lost.
The final cornerstone of progressive theory was the disdain for report cards and objective tests of knowledge. These inhibit authentic learning, Kilpatrick argued; and he carried the day, to the eternal joy of students everywhere.
The foregoing doctrines are complete bunk, but bunk that has survived virtually unchanged to the present. The notion that one can teach "metacognitive" thinking in the abstract is senseless. Students need to learn something to learn how to learn at all. The claim that prior knowledge is superfluous because one can always look it up, preferably on the Internet, is equally senseless. Effective research depends on preexisting knowledge. Moreover, if you don't know in what century the atomic bomb was dropped without rushing to an encyclopedia, you cannot fully participate in society. Lastly, Kilpatrick's influential assertion that knowledge was changing too fast to be taught presupposes a blinkered definition of knowledge that excludes the great works and enterprises of the past.
The rejection of testing rests on premises as flawed as the push for "critical thinking skills." Progressives argue that if tests exist, then teachers will "teach to the test"--a bad thing, in their view. But why would "teaching to a test" that asked for, say, the causes of the [U.S.] Civil War be bad for students? Additionally, progressives complain that testing provokes rote memorization--again, a bad thing. One of the most tragically influential education professors today, Columbia's Linda Darling-Hammond, director of the National Commission on Teaching and America's Future, an advocacy group for increased teacher "professionalization," gives a telling example of what she considers a criminally bad test in her hackneyed 1997 brief for progressive education, The Right to Learn. She points disdainfully to the following question from the 1995 New York State Regents Exam in biology (required for high school graduation) as "a rote recall of isolated facts and vocabulary terms": "The tissue which conducts organic food through a vascular plant is composed of: (1) Cambium cells; (2) Xylem cells; (3) Phloem cells; (4) Epidermal cells."
Only a know-nothing could be offended by so innocent a question. It never occurs to Darling-Hammond that there may be a joy in mastering the parts of a plant or the organelles of a cell, and that such memorization constitutes learning. Moreover, when, in the progressives' view, will a student ever be held accountable for such knowledge? Does Darling-Hammond believe that a student can pursue a career in, say, molecular biology or in medicine without it? And how else will that learning be demonstrated, if not in a test? But of course such testing will produce unequal results, and that is the real target of Darling-Hammond's animus.
Once you dismiss real knowledge as the goal of education, you have to find something else to do. That's why the Anything But Knowledge doctrine leads directly to Professor Nelson's odd course. In thousands of education schools across the country, teachers are generating little moments of meaning, which they then subject to instant replay. Educators call this "constructing knowledge," a fatuous label for something that is neither construction nor knowledge but mere game-playing. Teacher educators, though, posses a primitive relationship to words. They believe that if they just label something "critical thinking" or "community-building," these activities will magically occur...
The Anything But Knowledge credo leaves education professors and their acolytes free to concentrate on more pressing matters than how to teach the facts of history or the rules of sentence construction. "Community-building" is one of their most urgent concerns. Teacher educators conceive of their classes as sites of profound political engagement, out of which the new egalitarian order will emerge. A case in point is Columbia's required class, "Teaching English in Diverse Social and Cultural Contexts," taught by Professor Barbara Tenney (a pseudonym). "I want to work at a very conscious level with you to build community in this class," Tenney tells her attentive students on the first day of the semester this spring. "You can do it consciously, and you ought to do it in your own classes." Community-building starts by making nameplates for our desks. Then we all find a partner to interview about each other's "identity." Over the course of the semester, each student will conduct two more "identity" interviews with different partners. After the interview, the inevitable self-reflexive moment arrives, when Tenney asks: "How did it work?" This is a sign that we are on our way to "constructing knowledge."...
All this artificial "community-building," however gratifying to the professors, has nothing to do with learning. Learning is ultimately a solitary activity: we have only one brain, and at some point we must exercise it in private. One could learn an immense amount about Schubert's lieder or calculus without ever knowing the name of one's seatmate. Such a view is heresy to the education establishment, determined, as Rita Kramer has noted, to eradicate any opportunity for individual accomplishment, with its sinister risk of superior achievement. For the educrats, the group is the irreducible unit of learning. Fueling this principle is the gap in achievement between whites and Asians, on the one hand, and other minorities on the other. Unwilling to adopt the discipline and teaching practices that would help reduce the gap, the education establishment tries to conceal it under group projects....
The consequences of the Anything But Knowledge credo for intellectual standards have been dire. Education professors are remarkably casual when it comes to determining whether their students actually know anything, rarely asking them, for example, what can you tell us about the American Revolution? The ed schools incorrectly presume that students have learned everything they need to know in their other or previous college courses, and that the teacher certification exam will screen out people who didn't.
Even if college education were reliably rigorous and comprehensive, education majors aren't the students most likely to profit from it. Nationally, undergraduate education majors have lower SAT and ACT scores than students in any other program of study. Only 16 percent of education majors scored in the top quartile of 1992-1993 graduates, compared with 33 percent of humanities majors. Education majors were overrepresented in the bottom quartile, at 30 percent. In New York City, many education majors have an uncertain command of English--I saw one education student at City College repeatedly write "choce" for "choice"-- and appear altogether ill at ease in a classroom. To presume anything about this population without a rigorous content exit exam is unwarranted.
The laissez-faire attitude toward student knowledge rests on "principled" grounds, as well as on see-no-evil inertia. Many education professors embrace the facile post-structuralist view that knowledge is always political. "An education program can't have content [knowledge] specifics," explains Migdalia Romero, chair of Hunter College's Department of Curriculum and Teaching, "because then you have a point of view. Once you define exactly what finite knowledge is, it becomes a perspective." The notion that culture could possess a pre-political common store of texts and idea is anathema to the modern academic.
The most powerful dodge regurgitates William Heard Kilpatrick's classic "critical thinking" scam. Asked whether a future teacher should know the date of the 1812 war, Professor Romero replied: "Teaching and learning is not about dates, facts, and figures, but about developing critical thinking." When pressed if there were not some core facts that a teacher or student should know, she valiantly held her ground. "There are two ways of looking at teaching and learning," she replied. "Either you are imparting knowledge, giving an absolute knowledge base, or teaching and learning is about dialogue, a dialogue that helps to internalize and to raise questions." Though she offered the disclaimer "of course you need both," Romero added that teachers don't have to know everything, because they can always look things up....
Disregard for language runs deep in the teacher education profession, so much so that ed school professors tolerate glaring language deficiencies in schoolchildren. Last January, Manhattan's Park West High School shut down for a day, so that its faculty could bone up on progressive pedagogy. One of the more popular staff development seminars ws "Using Journals and Learning Logs." The presenters--two Park West teachers and a representative from the New York City Writing Project, an anti-grammar initiative run by the Lehman College's Education School--proudly passed around their students' journal writing, including the following representative entry on "Matriarchys v. pratiarchys [sic]": "The different between Matriarchys and patriarchys is that when the mother is in charge of the house. sometime the children do whatever they want. But sometimes the mother can do both roll as mother and as a father too and they can do it very good." A more personal entry described how the author met her boyfriend: "He said you are so kind I said you noticed and then he hit me on my head. I made-believe I was crying and when he came naire me I slaped him right in his head and than I ran...to my grandparients home and he was right behind me. Thats when he asked did I have a boyfriend."
The ubiquitous journal-writing cult holds that such writing should go uncorrected. Fortunately, some Park West teachers bridled at the notion. "At some point, the students go into the job market, and they're not being judged 'holistically,'" protested a black teacher, responding to the invocation of the state's "holistic" model for grading writing. Another teacher bemoaned the Board of Ed's failure to provide guidance on teaching grammar. "My kids are graduating without skills," he lamented.
Such views, however, were decidedly in the minority. "Grammar is related to purpose," soothed the Lehman College representative, educrat code for the proposition that asking students to write grammatically on topics they are not personally "invested in" is unrealistic. A Park West presenter burst out with a more direct explanation for his chilling indifference to student incompetence. "I'm not going to spend my life doing error diagnosis! I'm not going to spend my weekend on that!" Correcting papers used to be part of the necessary drudgery of a teacher's job. No more, with the advent of enlightened views about "self-expression" and "writing with intentionality."
However easygoing the educational establishment is regarding future teachers' knowledge of history, literature, and science, there is one topic that it assiduously monitors: their awareness of racism. To many teacher educators, such an awareness is the most important tool a young teacher can bring to the classroom. It cannot be developed too early. Rosa, a bouncy and enthusiastic junior at Hunter College, has completed only her first semester of education courses, but already she has mastered the most important lesson: American is a racist, imperialist country, most like, say, Nazi Germany. "We are lied to by the very institutions we have come to trust," she recalls from her first-semester reading. "It's all government that's inventing these lies, such as Western heritage."
The source of Rosa's newfound wisdom, Donald Macedo's Literacies of Power: What Americans Are Not Allowed to Know, is an execrable book by any measure. But given its target audience--impressionable education students--it comes close to being a crime. Widely assigned at Hunter, and in use in approximately 150 education schools nationally, it is an illiterate, barbarically ignorant Marxist-inspired screed against America. Macedo opens his first chapter, "Literacy for Stupidification: The Pedagogy of Big Lies," with a quote from Hitler and quickly segues to Ronald Reagan: "While busily calling out slogans from their patriotic vocabulary memory warehouse, these same Americans dutifully vote...for Ronald Reagan...giving him a landslide victory...These same voters ascended [sic] to Bush's morally high-minded call to apply international laws against Saddam Hussein's tyranny and his invasion of Kuwait." Standing against this wave of ignorance and imperialism is a lone 12-year-old from Boston, whom Macedo celebrates for his courageous refusal to recite the Pledge of Allegiance.
What does any of this have to do with teaching? Everything, it turns out. In the 1960s, educational progressivism took on an explicitly political cast: schools were to fight institutional racism and redistribute power. Today, Columbia's Teachers College holds workshops on cultural and political "oppression," in which students role-play ways to "usurp the existing power structure," and the New York State Regents happily call teachers "the ultimate change agents." To be a change agent, one must first learn to "critique" the existing social structure. Hence, the assignment of such propaganda as Macedo's book.
But Macedo is just one of the political tracts that Hunter force-fed the innocent Rosa in her first semester. She also learned about the evils of traditional children's stories from the education radical Herbert Kohl. In Should We Burn Babar? Kohl weighs the case for and against the dearly beloved children's classic, Babar the Elephant, noting in passing that it prevented him from "questioning the patriarchy earlier." He decides--but let Rosa expound the meaning of Kohl's book: "[Babar]'s like a children's book, right? [But] there's an underlying meaning about colonialism, about like colonialism, and is it OK, it's really like it's OK, but it's like really offensive to the people." Better burn Babar now!...
Though the current diversity battle cry is "All students can learn," the educationists continually lower expectations of what they should learn. No longer are students expected to learn all their multiplication tables in the third grade, as has been traditional. But while American educators come up with various theories about fixed cognitive phases to explain why our children should go slow, other nationalities trounce us. Sometimes, we're trounced in our own backyards, causing cognitive dissonance in local teachers.
A young student at Teachers College named Susan describes incredulously a Korean-run preschool in Queens. To her horror, the school, the Holy Mountain School, violates every progressive tenet: rather than being "student-centered" and allowing each child to do whatever he chooses, the school imposes a curriculum on the children, based on the alphabet. "Each week, the children get a different letter," Susan recalls grimly. Such an approach violates "whole language" doctrine, which holds that students can't "grasp the [alphabetic] symbols without the whole word or the meaning or any context in their lives." In Susan's words, Holy Mountain's further infractions include teaching its wildly international students only in English and failing to provide an "anti-bias multicultural curriculum." The result? By the end of preschool the children learn English and are writing words. Here is the true belief in the ability of all children to learn, for it is backed up by action....
Given progressive education's dismal record, all New Yorkers should tremble at what the Regents have in store for the state. The state's teacher education establishment, led by Columbia's Linda Darling-Hammond, has persuaded the Regents to make its monopoly on teacher credentialing total. Starting in 2003, according to the Regents plan steaming inexorably toward adoption, all teacher candidates must pass through an education school to be admitted to a classroom. We know, alas, what will happen to them there.
This power grab will be a disaster for children. By making ed school inescapable, the Regents will drive away every last educated adult who may not be willing to sit still for its foolishness but who could bring to the classroom unusual knowledge or experience. The nation's elite private schools are full of such people, and parents eagerly proffer tens of thousands of dollars to give their children the benefit of such skill and wisdom.
Amazingly, even the Regents, among the nation's most addled education bodies, sporadically acknowledge what works in the classroom. A Task Force on Teaching paper cites some of the factors that allow other countries to wallop us routinely in international tests: a high amount of lesson content (in other words, teacher-centered, not student-centered, learning), individual tracking of students, and a coherent curriculum. The state should cling steadfastly to its momentary insight, at odds with its usual policies, and discard its foolish plan to enshrine Anything But Knowledge as its sole education dogma. Instead of permanently establishing the teacher education status quo, it should search tirelessly for alternatives and for potential teachers with a firm grasp of subject matter and basic skills. Otherwise ed school claptrap will continue to stunt the intellectual growth of the Empire State's children.
[Heather Mac Donald graduated summa cum laude from Yale, and earned an M.A. at Cambridge University. She holds the J.D. degree from Stanford Law School, and is a John M. Olin Fellow at the Manhattan Institute and a contributing editor to City Journal]
"Teach by Example"
Will Fitzhugh [founder]
Consortium for Varsity Academics® [2007]
The Concord Review [1987]
Ralph Waldo Emerson Prizes [1995]
National Writing Board [1998]
TCR Institute [2002]
730 Boston Post Road, Suite 24
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978-443-0022; 800-331-5007 www.tcr.org; fitzhugh@tcr.org
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Thanks to all the people who have written, expressing your support and dedication to this effort, and also to those who have so generously made financial donations. We are many, many people nationwide standing in solidarity in our commitment to make effective math education accessible to all students.
I apologize to those who have looked for news recently on this blog: I've been following other math ed news, but little has been happening directly regarding our lawsuit, so I haven't sat down to give updates.
In the last 6 weeks, there has been an outpouring of support for our lawsuit and its outcome, as well a surge of determination to deflect the tide of inquiry-based math instruction that has flooded so many of our schools. I've been very moved by letters from parents who have struggled (heroically, and often poignantly, it seems to me) to support their children in developing strong math skills despite curricula that they found confusing, unintelligible, and deeply discouraging. I strongly believe that, whether the Seattle School District's appeal of Judge Spector's decision succeeds or fails, the continuing legal action will only heighten public awareness of the tragic and devastating results of the nationwide inquiry-based math experiment. The public NEEDS TO KNOW about this debacle. I think/hope that our lawsuit and its aftermath are helping this to happen.
A report on the underrepresentation of women in science and math by the American Association of University Women, to be released today, found that although women have made gains, stereotypes and cultural biases still impede their success.
The report, "Why So Few?" supported by the National Science Foundation, examined decades of research to gather recommendations for drawing more women into science, technology, engineering and mathematics, the so-called STEM fields.
"We scanned the literature for research with immediate applicability," said Catherine Hill, the university women's research director and lead author of the report. "We found a lot of small things can make a difference, like a course in spatial skills for women going into engineering, or teaching children that math ability is not fixed, but grows with effort."
Students: Take a look at some of the changes to the Texas curriculum, and then at a passage from your own American history or government textbook. Considering word choice and the inclusion and treatment of leaders and movements, what values and ideas do you think it conveys? What connotations do the terms used have for you? Tell us what ideas you think are expressed in how your textbook is written.
Adults, please note: Though, of course, anyone can be a "student" at any age, we ask that adults respect the intent of the Student Opinion question and refrain from posting here. There are many other places on the NYTimes.com site for adults to post, while this is the only place that explicitly invites the voices of young people.
Math textbooks are an area ripe for this type of inquiry.
If you are a parent in cities such as Bellevue, Issaquah or Seattle, your kids are being short-changed--being provided an inferior math education that could cripple their future aspirations--and you need to act. This blog will tell the story of an unresponsive and wrong-headed educational bureaucracies that are dead set on continuing in the current direction. And it will tell the story of how this disaster can be turned around. Parent or not, your future depends on dealing with the problem.
Let me provide you with a view from the battlefield of the math "wars", including some information that is generally not known publicly, or has been actively suppressed by the educational establishment. Of lawsuits and locking parents out of decision making.
I know that some of you would rather that I only talk about weather, but the future of my discipline and of our highly technological society depends on mathematically literate students. Increasingly, I am finding bright students unable to complete a major in atmospheric sciences. All their lives they wanted to be a meteorologist and problems with math had ended their dreams. Most of them had excellent math grades in high school. I have talked in the past about problems with reform or discovery math; an unproven ideology-based instructional approach in vogue among the educational establishment. An approach based on student's "discovering" math principles, group learning, heavy use of calculators, lack of practice and skills building, and heavy use of superficial "spiraling" of subject matter. As I have noted before in this blog, there is no competent research that shows that this approach works and plenty to show that it doesn't. But I have covered much of this already in earlier blogs.
SINCE "Alice's Adventures in Wonderland" was published, in 1865, scholars have noted how its characters are based on real people in the life of its author, Charles Dodgson, who wrote under the name Lewis Carroll. Alice is Alice Pleasance Liddell, the daughter of an Oxford dean; the Lory and Eaglet are Alice's sisters Lorina and Edith; Dodgson himself, a stutterer, is the Dodo ("Do-Do-Dodgson").
But Alice's adventures with the Caterpillar, the Mad Hatter, the Cheshire Cat and so on have often been assumed to be based purely on wild imagination. Just fantastical tales for children -- and, as such, ideal material for the fanciful movie director Tim Burton, whose "Alice in Wonderland" opened on Friday.
Yet Dodgson most likely had real models for the strange happenings in Wonderland, too. He was a tutor in mathematics at Christ Church, Oxford, and Alice's search for a beautiful garden can be neatly interpreted as a mishmash of satire directed at the advances taking place in Dodgson's field.
In the mid-19th century, mathematics was rapidly blossoming into what it is today: a finely honed language for describing the conceptual relations between things. Dodgson found the radical new math illogical and lacking in intellectual rigor. In "Alice," he attacked some of the new ideas as nonsense -- using a technique familiar from Euclid's proofs, reductio ad absurdum, where the validity of an idea is tested by taking its premises to their logical extreme.
The state of science, technology, engineering and math (STEM) education in the United States has seen some unflattering appraisals in recent years, and deservedly so. In early February, the House of Representatives heard testimony on undergraduate and graduate education. The message from the panel, which included experts from academia, STEM-based industries, and the National Science Foundation (NSF), was clear: the problems in STEM education are well-known, and it's time to take action.
Both the hearing's charter and its chair, Daniel Lipinski (D-IL), pointed out the obvious problem in higher education: students start out interested, but the STEM programs are driving them away. As the National Academies described in its 2005 report Rising Above the Gathering Storm, successful STEM education is not just an academic pursuit--it's a necessity for competing in the knowledge-based economy that the United States had a key role in creating.
The potential for action comes thanks to the fact that the America COMPETES Act of 2007 is up for reauthorization. Its initial focus was on STEM education at the K-12 levels, but efforts at the undergraduate and graduate levels are needed to retain students to fill the jobs left vacant as baby boomers retire.
There was a time in East Los Angeles when el maestro's el maestro's gruff voice bounced off his classroom walls. He roamed the aisles, he juggled oranges, he dressed in costumes, he punched the air; he called you names, he called your mom, he kicked you out, he lured you in; he danced, he boxed, he screamed, he whispered. He would do anything to get your attention.
"Ganas," he would say. "That's all you need. The desire to learn."
Nearly three decades later, Jaime Escalante finds himself far from Garfield High School in East Los Angeles, the place that made him internationally famous for turning a generation of low-income students into calculus whizzes. Twenty-two years have passed since his classroom exploits were captured in the film "Stand and Deliver."
He is 79 and hunched in a wheelchair at a cancer treatment center in Reno. It is cold outside, and the snow-capped mountains that crown the city where his son brought him three weeks ago on a bed in the back of an old van remind him of his native Bolivia.
I am deeply disappointed that SPS will funnel more resources into this appeal, which, I suspect, will be more costly than following the judge's instruction to reconsider.
Our attorney tells me: ".... I'll put in a notice of appearance, and then we wait for the District to complete the record by having the documents and transcripts transmitted to the Court of Appeals. They write the first brief, due 45 days after the record is complete.
The Florida State DOE posted (leaked) the January 13th confidential draft of the Common Core Standards in their Race to the Top Application. Thank you Florida!
For entertainment value read the Discovering Math Q&A in this article in the Seattle Times. The Discovering Math guy (1) doesn't always answer the question asked, (2) answers but doesn't address the topic properly - see the question on if Discovering Math is "mathematically unsound" and (3) sounds like he works for the district.
Here's one example:
The Discovering books have been criticized by parents, but they've been the top pick of a couple of districts in our area, including Seattle and Issaquah. Any thoughts on why the textbooks seem to be more popular with educators than with parents?
Ryan: I think because (parents) lack familiarity -- this doesn't look like what I was taught. I don't know how you get students to a place where more is required of them by repeating things that have been done in the past. That's not how we move forward in life.
33-year-old math and science whiz kid -- working out of his house in California's Silicon Valley -- may be revolutionizing how people all over the world will learn math. He is Salman Khan, and until a few months ago he made his living as a hedge fund analyst. But he's become a kind of an unseen rock star in the online instruction field, posting 1200 lessons in math and science on YouTube, none of them lasting more than about 10 minutes. He quit his job at the hedge fund to devote full time to his Khan Academy teaching efforts, which he does essentially for free.
Khan explained how the U.S. unemployment rate is calculated in a NewsHour exclusive video.
"What's a court doing making a decision on math textbooks and curriculum?" This question and its associated harrumphs on various education blogs and online newspapers came in reaction to the February 4, 2010 ruling from the Superior court of King County that the Seattle school board's adoption of a discovery type math curriculum for high school was "arbitrary and capricious".
In fact, the court did not rule on the textbook or curriculum. Rather, it ruled on the school board's process of decision making--more accurately, the lack thereof. The court ordered the school board to revisit the decision. Judge Julie Spector found that the school board ignored key evidence--like the declaration from the state's Board of Education that the discovery math series under consideration was "mathematically unsound", the state Office of the Superintendent of Public Instruction not recommending the curriculum and last but not least, information given to the board by citizens in public testimony.
The decision is an important one because it highlights what parents have known for a long time: School boards generally do what they want to do, evidence be damned. Discovery type math programs are adopted despite parent protests, despite evidence of experts and--judging by the case in Seattle--despite findings from the State Board of Education and the Superintendent of Public Instruction.
Sally made 500 gingerbread men. She sold 3/4 of them and gave away 2/5 of the remainder. How many did she give away?
This was one of the homework questions in Craig Parsley's fifth-grade class. The kids are showing their answers on the overhead projector. They are in a fun mood, using class nicknames. First up is "Crackle," a boy. The class hears from "Caveman," "Annapurna," "Shortcut" and "Fred," a girl.
Each has drawn a ruler with segments labeled by number -- on the problem above, "3/4," "2/5" and "500." Below the ruler is some arithmetic and an answer.
"Who has this as a single mathematical expression? Who has the guts?" Parsley asks. No one, yet -- but they will.
This is not the way math is taught in other Seattle public schools. It is Singapore Math, adopted from the Asian city-state whose kids test at the top of the world. Since the 2007-08 year, Singapore Math has been taught at Schmitz Park Elementary in West Seattle -- and only there in the district.
In the war over school math -- in which a judge recently ordered Seattle Public Schools to redo its choice of high-school math -- Schmitz Park is a redoubt or, it hopes, a beachhead. North Beach is a redoubt for Saxon Math, a traditional program. Both schools have permission to be different. The rest of the district's elementary schools use Everyday Math, a curriculum influenced by the constructivist or reform methods.
Spurred by a succession of reports pointing to the importance of algebra as a gateway to college, educators and policymakers embraced "algebra for all" policies in the 1990s and began working to ensure that students take the subject by 9th grade or earlier.
A trickle of studies suggests that in practice, though, getting all students past the algebra hump has proved difficult and has failed, some of the time, to yield the kinds of payoffs educators seek.
Among the newer findings:
• An analysis using longitudinal statewide data on students in Arkansas and Texas found that, for the lowest-scoring 8th graders, even making it one course past Algebra 2 might not be enough to help them become "college and career ready" by the end of high school.
• An evaluation of the Chicago public schools' efforts to boost algebra coursetaking found that, although more students completed the course by 9th grade as a result of the policy, failure rates increased, grades dropped slightly, test scores did not improve, and students were no more likely to attend college when they left the system.
This unprecedented finding shows school boards and district administration that they need to consider evidence when making decisions. The voice of the community has been upheld by law, but the Seattle School district indicated they plan to appeal, demonstrating the typical arrogant, wasteful practices which necessitated the lawsuit in the first place.
Concerned individuals in Seattle and across the country need to speak up now, and let Seattle administration know that it's time to move forward and refocus on the students, rather than defend a past mistake.
The ruling states:
"The court finds, based upon a review of the entire administrative record, that there is insufficient evidence for any reasonable Board member to approve the selection of the Discovering Series."
Last year, Seattle Public Schools adopted the Discovering math series despite valiant opposition from parents and math professionals, despite poor assessments of the Discovering series' rigor and adherence to the new state math standards, and despite the fact that OSPI did NOT ultimately recommend the Discovering math series.
In response, three people filed a lawsuit, saying that Seattle didn't have sufficient supporting evidence for its adoption, and also that the Discovering series was associated with an INCREASE in achievement gaps.
Recently, a judge agreed with the plaintiffs and - while stopping short of telling Seattle to cease and desist in their adoption - told Seattle to revisit its adoption. The district can continue to use the Discovering series, and Seattle administrators have stated their clear intention to do so.
Nevertheless, the court decision is momentous. It sets a precedent for districts across the country. When board members can't justify their adoption decisions, the people now have legal recourse.
Influencing practice and policy in science education is what drives ASU's Julie Luft and has led to her distinguished service to K-12 science teacher education and renowned research contributions to the field. She considers her recent call from Congress to testify about the status and future of science education to be among her most notable achievements.
Luft delivered her first-time testimony before the House Commerce, Justice, and Science Subcommittee at the STEM (science, technology, engineering and mathematics) Education Hearings that took place Feb. 3-4. She was joined by Craig Strang, associate director of the Lawrence Hall of Science at University of California-Berkeley.
The purpose of the hearing was to inform Congressional subcommittee members about the status and future direction of STEM education in the K-12 sector. STEM education is considered vital to maintaining the United States' leadership in the rapidly advancing world of science and technology. In her testimony, Luft emphasized the importance of inquiry in teacher education and professional development, and the need for more federal funding to support science organizations involved in research and development. She also stressed the unintended consequences of the federal No Child Left Behind legislation, which has limited the amount of inquiry-based instruction in K-12 science classrooms.
THIS MATTER having come on for hearing, and the Court having considered the pleadings, administrative record, and argument in this matter, the Court hereby enters the following Findings of Fact, Conclusions of Law, and Order:
FINDINGS OF FACT
1. On May 6, 2009, in a 4-3 vote, the Seattle School District Board of Directors chose the Discovering Series as the District's high school basic math materials.
a. A recommendation from the District's Selection Committee;
b. A January, 2009 report from the Washington State Office of Public Instruction ranking High School math textbooks, listing a series by the Holt Company as number one, and the Discovering Series as number two;
c. A March 11, 2009, report from the Washington State Board of Education finding that the Discovering Series was "mathematically unsound";
d. An April 8, 2009 School Board Action Report authored by the Superintendent;
e. The May 6, 2009 recommendation of the OSPI recommending only the Holt Series, and not recommending the Discovering Series;
f. WASL scores showing an achievement gap between racial groups;
g. WASL scores from an experiment with a different inquiry-based math text at Cleveland and Garfield High Schools, showing that W ASL scores overall declined using the inquiry-based math texts, and dropped significantly for English Language Learners, including a 0% pass rate at one high school;
h. The National Math Achievement Panel (NMAP) Report;
1. Citizen comments and expert reports criticizing the effectiveness of inquiry-based math and the Discovering Series;
J. Parent reports of difficulty teaching their children using the Discovering Series and inquiry-based math;
k. Other evidence in the Administrative Record;
I. One Board member also considered the ability of her own child to learn math using the Discovering Series.
3. The court finds that the Discovering Series IS an inquiry-based math program.
4. The court finds, based upon a review of the entire administrative record, that there IS insufficient evidence for any reasonable Board member to approve the selection of the Discovering Series.
CONCLUSIONS OF LAW
I. The court has jurisdiction under RCW 28A.645.010 to evaluate the Board's decision for whether it is arbitrary, capricious, or contrary to law;
2. The Board's selection of the Discovering Series was arbitrary;
3. The Board's selection of the Discovering Series was capricious;
4. This court has the authority to remand the Board's decision for further review;
5. Any Conclusion of Law which is more appropriately characterized as a
Finding of Fact is adopted as such, and any Finding of Fact more appropriately
characterized as a Conclusion of Law is adopted as such.
ORDER
IT IS HEREBY ORDERED:
The decision of the Board to adopt the Discovering Series is remanded for further proceedings consistent with this opinion.
Judge Julie Spector today announced her finding of "arbitrary and capricious" in the Seattle School Board's May 6 vote to adopt the Discovering Math series of high school texts despite insufficient evidence of the series' effectiveness.
Judge Spector's decision states, "The court finds, based upon a review of the entire administrative record, that there is insufficient evidence for any reasonable Board member to approve the selection of the Discovering series."
Plaintiffs DaZanne Porter, an African American and mother of a 9th-grade student in Seattle Public Schools, Martha McLaren, retired Seattle math teacher and grandparent of a Seattle Public Schools fifth grader, and Cliff Mass, professor of atmospheric science at the University of Washington, had filed their appeal of the Board's controversial decision on June 5th, 2009. The hearing was held on Tuesday, January 26th, 2010
y husband decided to send me a couple of links to various STEM articles which then led me to even more interesting links. If you are interested in this subject from a state and national level, here are some links. Happy reading!
Apparently, Ohio is waaay ahead on this stuff so many of this articles are about different projects in that state.
From Government Technology magazine, an article about a new STEM school in Ohio.
From the University of Cincinnati (a key sponsor of a lot of these schools), an article about FUSION (Furthering Urban STEM Innovation, Outreach and New Research).
Last Friday, NEA heralded the release of its annual Rankings & Estimates report by sending out a press release (embargoed until today) that claimed "inflation over the past decade has outpaced teachers' salaries in every single state across the country." This didn't sound right to researcher Jay P. Greene, so he scrutinized the report and couldn't find a single statistic to back up this claim. On the contrary, NEA's numbers revealed that teachers' salaries had increased 3.4 percent over the past decade, after adjusting for inflation.
This document provides grade level standards for mathematics in grades K-8, and high school standards organized under the headings of the College and Career Readiness Standards in Mathematics. Students reaching the readiness level described in that document (adjusted in response to feedback) will be prepared for non-remedial college mathematics courses and for training programs for career-level jobs. Recognizing that most students and parents have higher aspirations, and that ready for college is not the same as ready for mathematics-intensive majors and careers, we have included in this document standards going beyond the readiness level. Most students will cover these additional standards. Students who want the option of entering STEM fields will reach the readiness level by grade 10 or 11 and take precalculus or calculus before graduating from high school. Other students will go beyond readiness through statistics to college. Other pathways can be designed and available as long as they include the readiness level. The final draft of the K-12 standards will indicate which concepts and skills are needed to reach the readiness level and which go beyond. We welcome feedback from states on where that line should be drawn.
English Language Learners in Mathematics Classrooms
English language learners (ELLs) must be held to the same high standards expected of students who are already proficient in English. However, because these students are acquiring English language proficiency and content area knowledge concurrently, some students will require additional time and all will require appropriate instructional support and aligned assessments.
ELLs are a heterogeneous group with differences in ethnic background, first language, socio-economic status, quality of prior schooling, and levels of English language proficiency. Effectively educating these students requires adjusting instruction and assessment in ways that consider these factors. For example ELLs who are literate in a first language that shares cognates with English can apply first-language vocabulary knowledge when reading in English; likewise ELLs with high levels of schooling can bring to bear conceptual knowledge developed in their first language when reading in a second language. On the other hand, ELLs with limited or interrupted schooling will need to acquire background knowledge prerequisite to educational tasks at hand. As they become acculturated to US schools, ELLs who are newcomers will need sufficiently scaffolded instruction and assessments to make sense of content delivered in a second language and display this content knowledge.
A draft of grade-by-grade common standards is undergoing significant revisions in response to feedback that the outline of what students should master is confusing and insufficiently user-friendly.
Writing groups convened by the Council of Chief State School Officers and the National Governors Association are at work on what they say will be a leaner, better-organized, and easier-to-understand version than the 200-plus-page set that has been circulating among governors, scholars, education groups, teams of state education officials, and others for review in recent weeks. The first public draft of the standards, which was originally intended for a December release but was postponed until January, is now expected by mid-February.
A "Value Added" Report for the Madison School District
Kurt Kiefer:
Attached are the most recent results from our MMSD value added analysis project, and effort in which we are collaborating with the Wisconsin center for Educational Research Value Added Research Center (WCERVARC). These data include the two-year models for both the 2006-2008 and 2005-2007 school year spans.
This allows us in a single report to view value added performance for consecutive intervals of time and thereby begin to identify trends. Obviously, it is a trend pattern that will provide the greatest insights into best practices in our schools.
As it relates to results, there do seem to be some patterns emerging among elementary schools especially in regard to mathematics. As for middle schools, the variation across schools is once again - as it was last year with the first set of value added results - remarkably narrow, i.e., schools perform very similar to each other, statistically speaking.
Also included in this report are attachments that show the type of information used with our school principals and staff in their professional development sessions focused on how to interpret and use the data meaningfully. The feedback from the sessions has been very positive.
Table E1 presents value added at the school level for 28 elementary schools in Madison Metropolitan School District. Values added are presented for two overlapping time periods; the period between the November 2005 to November 2007 WKCE administrations, and the more recent period between the November 2006 and November 2008 WKCE. This presents value added as a two-year moving average to increase precision and avoid overinterpretation of trends. Value added is measured in reading and math.
VA is equal to the school's value added. It is equal to the number ofextra points students at a school scored on the WKCE relative to observationally similar students across the district A school with a zero value added is an average school in terms of value added. Students at a school with a value added of 3 scored 3 points higher on the WKCE on average than observationally similar students at other schools.
Std. Err. is the standard error ofthe school's value added. Because schools have only a finite number of students, value added (and any other school-level statistic) is measured with some error. Although it is impossible to ascertain the sign of measurement error, we can measure its likely magnitude by using its standard error. This makes it possible to create a plausible range for a school's true value added. In particular, a school's measured value added plus or minus 1.96 standard errors provides a 95 percent confidence interval for a school's true value added.
N is the number of students used to measure value added. It covers students whose WKCE scores can be matched from one year to the next.
This report summarizes data on the use of Infinite Campus teacher tools and the Parent and Student Portal. Data come from a survey conducted among all teachers responsible for students within the Infinite Campus system and an analysis of the Infinite Campus data base. Below are highlights from the report.
About half of all middle and high school teachers responsible for providing grades to students are using the grade book tool.
Grade book use has declined over the past year at the middle school level due to the introduction of standards- based grading. In addition to the change in grading approach, the grade book tool in Infinite Campus does not handle standards-based grading as efficiently as traditional grading.
Lesson Planner and Grade book use is most common among World Languages, Physical Education, and Science teachers and less common among fine arts and language arts/reading teachers.
Grade book and other tool use is most common among teachers with less than three years of teaching experience.
Seventy percent of teachers responding to the survey within these years of experience category report using the tools compared with about half of all other experience categories.
Most of the other teacher tools within Infinite Campus, e.g., Messenger, Newsletters, reports, etc., are not being used due to a lack o!familiarity with them.
Many teachers expressed interest in learning about how they can use other digital tools such as the Moodie leaming management system, blogs, wikis, and Drupal web pages.
About one third of parents with high school stUdents use the Infinite Campus Parent Portal. Slightly less than 30 percent of parents of middle school students use the Portal. Having just been introduced to elementary schools this fall, slightly more that ten percent of parents of students at this level use the Portal.
Parents of white students are more likely to use the Portal than are parents of students within other racial/ethnic subgroups.
About half of all high school students have used the Portal at one time this school year. About one in five middle school students have used the Portal this year.
Variation in student portal use is wide across the middle and high schools.
Follow up is planned during January 2010 with staff on how we can address some of the issues related to enhancing the use olthese tools among staff, parents, and stUdents. This report is scheduled to be provided to the Board of Education in February 2010.
You ask whether things have changed -- since math wasn't being taught well 40+ years ago either. You're absolutely right on that, but I believe it's only gotten worse over the years, as more and more math phobic people have gone into the field of education. These people never understood math well, so their teaching had to be based on rote following of procedures, etc. Then came "new math", which was an effort to reinvent math and make it more accessible. That bombed, and the efforts to reinvent continued.
What happened is that eventually those bright, math-phobic folks took over the education establishment. They reinvented math to be gentler, kinder, and more fun. Some of the hallmarks are: Small group problem solving, with students figuring our their own solutions to challenging problems. Visiting many topics for only a few weeks each year and moving on, regardless of whether any real mastery was attained. The thinking was/is that students will revisit the topics again in successive years, and will painlessly absorb the concepts. This turns out to be an extremely inefficient way to teach math, so, in order to have enough time to do all these hands-on projects in groups, the explanation of the underlying structure of math and and practice with standard algorithms have all been chucked.
Last year Seattle Public Schools selected new, "inquiry-based" math textbooks. Now there's a lawsuit against the district over the Discovering Mathematics series of textbooks.
Do you have a child in school who is using the new textbooks? What is your experience with inquiry-based math education? KUOW's Ross Reynolds is planning a show on Wednesday, February 3 in the 12 o'clock hour. We'd like to hear from you by Wednesday morning. Share your experience with KUOW by filling out the form below, or call 206.221.3663.
I was reading the comments in an earlier post about the new assignment plan and there were many comments about the rigor or lack there of at Rainier Beach High School. I would like to dispel the myth that Rainier Beach does not offer rigor to the high achieving student. If you have a high achieving 8th grader and are in the RBHS attendance area, here is just a sample of what you can expect:
In math as a Freshman, you will start in at least Honors Geometry with Ms. Lessig who is our best math teacher. Once you get through that, you will take Honors Advanced Algebra with me, then Pre Calculus with Mr. Bird (a math major in college) and then as a Senior, you take AP Calculus with Ms. Day, a highly experienced and skilled teacher. As a bonus, in either your Junior or Senior year, you get to take AP Statistics with me. All of these classes are demanding and well taught by teachers who know what they are doing and are passionate about teaching math.
I am one of the three plaintiffs in the math textbook appeal. I am also the white grandmother of an SPS fifth grader, and a retired SPS math teacher.
Mr. Westneat grants that the textbooks we are opposing may be "lousy," but he faults us for citing their disproportionate effect on ethnic, racial, and other minorities. He states that we can't prove this claim. I disagree, and West Seattle Dan has posted voluminous statistics in response to the column. They support our claim that inquiry-based texts, which have now accrued a sizable track record, are generally associated with declining achievement among most students and with a widening achievement gap between middle class whites and minorities.
We've brought race and ethnicity (as well as economic status) into this appeal because there is ample evidence that it is a factor. True, this is not the 80's, and true, in my 10 years of experience teaching in Seattle Schools, I found no evidence that people of color are less capable than whites of being outstanding learners. However, in my 30+ years as a parent and grandparent of SPS students and my years as a teacher, I've developed deep, broad, awareness of the ways that centuries of societally mandated racism play out in our classrooms, even in this era of Barack Obama's presidency.
That's what was argued Tuesday in a Seattle courtroom. Not overtly racist in that a book of equations and problem sets contains hatred or intolerance of others. But that its existence -- its adoption for use in Seattle classrooms -- is keeping some folks down.
"We're on untested ground here," admitted Keith Scully.
He's the attorney who advanced this theory in a lawsuit challenging Seattle Public Schools' choice of the Discovering series of math textbooks last year.
The appeal was brought by a handful of Seattle residents, including UW atmospheric-sciences professor Cliff Mass. It says Seattle's new math books -- and a "fuzzy" curriculum they represent -- are harmful enough to racial and other minorities that they violate the state constitution's guarantee of an equal education.
It also says the School Board's choice of the books was arbitrary.
Mostly, Mass just says the new textbooks stink. For everyone. But he believes they will widen the achievement gap between whites and some minority groups, specifically blacks and students with limited English skills.
Today Cliff Mass and I, (DaZanne Porter had to be at a training in Yakima) accompanied by Dan Dempsey and Jim W, had our hearing in Judge Julie Spector's King County Superior Courtroom; the event was everything we hoped for, and more. Judge Spector asked excellent questions and said that she hopes to announce a decision by Friday, February 12th.
The hearing started on time at 8:30 AM with several members of the Press Corps present, including KIRO TV, KPLU radio, Danny Westneat of the Seattle Times, and at least 3 others. I know the number because, at the end, Cliff, our attorney, Keith Scully, and I were interviewed; there were five microphones and three cameras pointed towards us at one point.
The hearing was brief; we were done by 9:15. Keith began by presenting our case very clearly and eloquently. Our two main lines of reasoning are, 1) that the vote to adopt Discovering was arbitrary and capricious because of the board's failure to take notice of a plethora of testimony, data, and other information which raised red flags about the efficacy of the Discovering series, and 2) the vote violated the equal education rights of the minority groups who have been shown, through WASL scores, to be disadvantaged by inquiry based instruction.
Realistically, both of these arguments are difficult to prove: "arbitrary and capricious" is historically a very, very difficult proof, and while Keith's civil rights argument was quite compelling, there is no legal precedent for applying the law to this situation.
The School District's attorney, Shannon McMinimee, did her best, saying that the board followed correct procedure, the content of the books is not relevant to the appeal, the books do not represent inquiry-based learning but a "balanced" approach, textbooks are merely tools, etc., etc. She even denigrated the WASL - a new angle in this case. In rebuttal, Keith was terrific, we all agreed. He quoted the introduction of the three texts, which made it crystal clear that these books are about "exploration." I'm blanking on other details of his rebuttal, but it was crisp and effective. Keith was extremely effective, IMHO. Hopefully, Dan, James, and Cliff can recall more details of the rebuttal.
A lawsuit challenging the Seattle School District's math curriculum went to trial Monday in King County Superior Court.
A group of parents and teachers say the "Discovering Math" series adopted last year does a poor job, especially with minority students who are seeing an achievement gap widen.
A spokeswoman for the Seattle School District, Teresa Wippel, says it has no comment on pending litigation.
KOMO-TV reports the district has already spent $1.2 million on Discovering Math books and teacher training.
On Tuesday, January 26th, at 8:30 AM, King County Superior Court Judge Julie Spector will consider an appeal by a group of Seattle residents (including yours truly) regarding the selection by Seattle Public Schools of the Discovering Math series in their high schools. Although this issue is coming to a head in Seattle it influences all of you in profound ways.
In this appeal we provide clear evidence that the Discovery Math approach worsens the achievement gap between minority/disadvantaged students and their peers. We show that the Board and District failed to consider key evidence and voluminous testimony, and acted arbitrarily and capriciously by choosing a teaching method that was demonstrated to produce a stagnant or increasing achievement gap. We request that the Seattle Schools rescind their decision and re-open the textbook consideration for high school.
The timing and content are interesting, from my perspective because:
The nearby Verona School District just approved a Mandarin immersion charter school on a 4-3 vote. (Watch the discussion here). Madison lags in such expanded "adult to student" learning opportunities. Madison seems to be expanding "adult to adult" spending on "coaches" and "professional development". I'd rather see an emphasis on hiring great teachers and eliminating the administrative overhead associated with growing "adult to adult" expenditures.
I read with interest Alec Russell's recent lunch with FW de Klerk. de Klerk opened the door to South Africa's governance revolution by freeing Nelson Mandela in 1990:
History is moving rather fast in South Africa. In June the country hosts football's World Cup, as if in ultimate endorsement of its post-apartheid progress. Yet on February 2 1990, when the recently inaugurated state President de Klerk stood up to deliver the annual opening address to the white-dominated parliament, such a prospect was unthinkable. The townships were in ferment; many apartheid laws were still on the books; and expectations of the balding, supposedly cautious Afrikaner were low.
How wrong conventional wisdom was. De Klerk's address drew a line under 350 years of white rule in Africa, a narrative that began in the 17th century with the arrival of the first settlers in the Cape. Yet only a handful of senior party members knew of his intentions.
I sense that the Madison School Board and the Community are ready for new, substantive adult to student initiatives, while eliminating those that simply consume cash in the District's $418,415,780 2009-2010 budget ($17,222 per student).
The "State of the District" document [566K PDF] includes only the "instructional" portion of the District's budget. There are no references to the $418,415,780 total budget number provided in the October 26, 2009 "Budget Amendment and Tax Levy Adoption document [1.1MB PDF]. Given the organization's mission and the fact that it is a taxpayer supported and governed entity, the document should include a simple "citizen's budget" financial summary. The budget numbers remind me of current Madison School Board member Ed Hughes' very useful 2005 quote:
This points up one of the frustrating aspects of trying to follow school issues in Madison: the recurring feeling that a quoted speaker - and it can be someone from the administration, or MTI, or the occasional school board member - believes that the audience for an assertion is composed entirely of idiots.
In my view, while some things within our local public schools have become a bit more transparent (open enrollment, fine arts, math, TAG), others, unfortunately, like the budget, have become much less. This is not good.
A new financial reality. I don't see significant new funds for K-12 given the exploding federal deficit, state spending and debt issues and Madison's property tax climate. Ideally, the District will operate like many organizations, families and individuals and try to most effectively use the resources it has. The recent Reading Recovery report is informative.
I think Dan Nerad sits on a wonderful opportunity. The community is incredibly supportive of our schools, spending far more per student than most school Districts (quite a bit more than his former Green Bay home) and providing a large base of volunteers. Madison enjoys access to an academic powerhouse: the University of Wisconsin and proximity to MATC and Edgewood College. Yet, District has long been quite insular (see Janet Mertz's never ending efforts to address this issue), taking a "we know best approach" to many topics via close ties to the UW-Madison School of Education and its own curriculum creation business, the Department of Teaching and Learning.
In summary, I'm hoping for a "de Klerk" moment Monday evening. What are the odds?
But China’s drive to succeed in the sciences is also subjecting its research establishment to intense pressure and sharper scrutiny. And as the standoff last week between Google and China demonstrated, the government controls the give and take of information.
How likely is it that China will become the world’s leader in science and technology, and what are the impediments to creating a research climate that would allow scientists to thrive?
Daniel Willingham "Is It True That Some People Just Can't Do Math"
Patsy Wang-Iverson, Perla Myers, and Edmund Lim W.K. "Beyond Singapore's Mathematics Textbooks - Focused and Flexible Supports for Teaching and
Learning"
The first has a number of useful references as well as comments. Here is one. There have been many papers written in Madison on student's lack of understanding of the equal sign. I once asked Liping Ma if this was a problem in China. She said that as far as she knew it was not. There is confirmation of this in one of the references.
Four questions asked of sixth grade students in the U.S. and China.
The paper which includes this is "Sources of Differences in Children's Understanding of Mathematical Equality: Comparative Analysis of Teacher Guides and Student Texts in China and the United States", by Xiaobao Li, Meixia Ding, Mary Margaret Capraro, Robert M. Capraro. It appeared in Cognition and Instruction, vol. 26, no. 2, pages 195-217, in 2008.
President Obama announced on Wednesday a partnership between federal agencies and public universities to train thousands more mathematics and science teachers each year, part of the administration's effort to make American students more competitive globally in science, technology, engineering, and math.
Leaders of 121 public universities have pledged to increase the total number of science and math teachers they prepare every year to 10,000 by 2015, up from the 7,500 teachers who graduate annually now.
Forty-one institutions, including California's two university systems and the University of Maryland system, said they would double the number of science and math teachers they trained each year by 2015.
The partnership is part of the Obama administration's "Educate to Innovate" campaign, a program announced in November that seeks to join government agencies, businesses, and universities in efforts to improve math and science education.
As many of you know, I have a strong interest in K-12 math education, motivated by the declining math skills of entering UW freshmen and the poor math educations given to my own children. Last quarter I taught Atmospheric Sciences 101, a large lecture class with a mix of students, and gave them a math diagnostic test as I have done in the past.
The results were stunning, in a very depressing way. This was an easy test, including elementary and middle school math problems. And these are students attending a science class at the State's flagship university--these should be the creme of the crop of our high school graduates with high GPAs. And yet most of them can't do essential basic math--operations needed for even the most essential problem solving.
By the time the first bell rings at Brookfield Central High School, most of the students in Room 22 are immersed in college-level vector equations, reviewing for their final exam on the Friday before Christmas.
Senior Lea Gulotta, however, looks on the bright side of waking early every morning for the past semester so she can take a Calculus 3 class taught at the school by a college professor.
"We get to sleep in for a month," she said, noting that the regular high school semester won't end until mid-January.
There's another positive to Brookfield Central's agreement with the University of Wisconsin-Waukesha continuing education department, which brought the advanced mathematics class to the high school this year as part of the state's youth options program. Under youth options, school districts pick up the costs of courses at Wisconsin colleges if they don't have similar offerings available to students.
Instead of seeing students spend extra time commuting and attending class on a college campus, the arrangement placed the professor in the high school to teach 11 students who had completed advanced-placement calculus as juniors. Two of the students in the class come from the Elmbrook School District's other high school, Brookfield East.
Elmbrook pays UW-Waukesha the same tuition that it would pay if its students chose to attend the college campus on their own, she said.
More minority students need to be lured into the sciences. One program has been a resounding success.
At most universities, freshman chemistry, a class I've taught for nearly 40 years, is the first course students take on the road to a career in the health professions or the biological or physical sciences. It's a tough course, and for many students it's the obstacle that keeps them from majoring in science. This is particularly true for minority students.
In 2005, more than two-thirds of the American scientific workforce was composed of white males. But by 2050, white males will make up less than one-fourth of the population. If the pipeline fails to produce qualified nonwhite scientists, we will, in effect, be competing against the rest of the world with one hand tied behind our backs.
We've been able to survive for the last several decades in large measure because of the "brain drain" -- the fact that the most able students from other countries, particularly China and India, have come here to study science at our best universities and, in many cases, have stayed to become key players in our scientific endeavors.
Thirteen-year-old Kayla Savage was failing math. Like many of her classmates in middle school, she hated the subject. Stuck in a large seventh-grade class with a teacher who had little time to offer individual help, Kayla was lost among rational numbers and polynomials.
Her frustration led to a phobia of math, an all-too-common affliction that often starts in middle school and threatens to derail students' future math studies in high school and chances for college.
Kayla is like thousands of students across America who struggle with math. The struggle in California is borne out by this grim U.S. Education Department statistic: Students in California rank 40th in eighth-grade math, a critical year in math learning that sets the path for math success in high school and beyond.
In Santa Clara County, only about 39 percent of eighth-graders meet the California standard for Algebra I proficiency. One study showed that less than one-third of eighth-graders have the skills or interest to pursue a math or science career. Yet these careers are the drivers of our future.
The column itself was the usual pointless pablum that we typically see in these guest columns. Lots of goals with no action plan. The interesting bit, as usual, comes in the reader comments in which members of the community writes that we DON'T need more engineers because there are lots of them standing in unemployment lines and that engineering jobs are being outsourced to India and China or to people from India and China who come to the U.S. on guest worker visas.
This article is also written completely without reference to the ineffective math education methods adopted over the past ten years.
Growing up in the '70s, John Halamka was a bookish child with a penchant for science and electronics. He wore black horn-rimmed glasses and buttoned his shirts up to the collar.
"I was constantly being called a geek or a nerd," he recalled, chuckling.
Dr. Halamka grew up to be something of a cool nerd, with a career that combines his deep interests in medicine and computing, and downtime that involves rock climbing and kayaking.
Now 47, Dr. Halamka is the chief information officer at the Harvard Medical School, a practicing emergency-ward physician and an adviser to the Obama administration on electronic health records.
Hybrid careers like Dr. Halamka's that combine computing with other fields will increasingly be the new American jobs of the future, labor experts say. In other words, the nation's economy is going to need more cool nerds. But not enough young people are embracing computing -- often because they are leery of being branded nerds.
As Seattle Public Schools released new details about its latest transformation plan for perpetually-troubled Cleveland High School over the past week, there's been a collective eye roll among some teachers there.
"I've been here for 15 years and every other year we do this," says math teacher David Fisher, referring to a long string of ballyhooed overhauls that the Beacon Hill school has embarked on at the behest of the district.
One thing is different: The district is promising to pour money into this reinvention of Cleveland as the School of Science, Technology, Engineering and Mathematics (STEM). It proposes to spend more than $4 million over the first three years, according to a report at last Wednesday's school board meeting by Superintendent Goodloe-Johnson. That's a lot of money for a school that is already up and running. (See the breakdown of spending on page 8 of this pdf.)
During the years Salman Khan spent scrutinizing financials for hedge funds, he rationalized the profit-obsessed work by telling himself he would one day quit and use his market winnings to open a free school.
It began with long-distance tutoring in late 2004. He agreed to help his niece Nadia, then a seventh-grader struggling with unit conversion, by providing math lessons over Yahoo's interactive notepad, Doodle, and the phone.
Nephews and family friends soon followed. But scheduling conflicts and repeated lectures prompted him to post instructional videos on YouTube that his proliferating pupils could watch when they had the time.
They did - and before long, so did thousands of others. Today, the Mountain View resident's 800-plus videos are viewed about 35,000 times a day, forming a virtual classroom that dwarfs any brick and mortar school he might have imagined. By using the reach of the Internet, he's helped bring education to the information-hungry around the world who can't afford private tutors or Kaplan prep courses.
What are the implications of "tracking," or grouping students into separate classes based on their achievement? Many schools have moved away from this practice and reduced the number of subject-area courses offered in a given grade. In this new Thomas B. Fordham Institute report, Brookings scholar Tom Loveless examines tracking and detracking in Massachusetts middle schools, with particular focus on changes that have occurred over time and their implications for high-achieving students. Among the report's key findings: detracked schools have fewer advanced students in mathematics than tracked schools. The report also finds that detracking is more popular in schools serving disadvantaged populations.
A new report out today makes the case that students do better in school when they are separated into groups based on their achievement.
Loveless found that de-tracked schools have fewer advanced students in math than do tracked schools--and that de-tracking is more popular in schools that serve disadvantaged students.
By 2011, if the states stick to their policy guns, all eighth graders in California and Minnesota will be required to take algebra. Other states are all but certain to follow. Assuming these courses hold water, some youngsters will dive in majestically and then ascend gracefully to the surface, breathing easily. Others, however, will smack their bellies, sink to the bottom and/or come up gasping. Clearly, the architects of this policy have the best of intentions. In recent years, the conventional wisdom of American K-12 education has declared algebra to be a "gatekeeper" to future educational and career success. One can scarcely fault policy makers for insisting that every youngster pass through that gate, lest too many find their futures constrained. It's also well known that placing students in remedial classes rarely ends up doing them a favor, especially in light of evi- dence that low-performing students may learn more in heterogeneous classrooms.
Yet common sense must ask whether all eighth graders are truly prepared to succeed in algebra class. That precise question was posed in a recent study by Brookings scholar Tom Loveless (The 2008 Brown Center Report on American Education), who is also the author of the present study. He found that over a quarter of low-performing math students--those scoring in the bottom 10 percent on NAEP--were enrolled in advanced math courses in 2005. Since these "misplaced" students are ill-pre- pared for the curricular challenges that lie ahead, Loveless warned, pushing an "algebra for all" policy on them could further endanger their already-precarious chances of success.
When American education produced this situation by abolishing low-level tracks and courses, did people really believe that such seemingly simple--and well-meanin --changes in policy and school organization would magically transform struggling learners into middling or high-achieving ones? And were they oblivious to the effects that such alterations might have on youngsters who were al- ready high-performing?
Nanny State Update: I don't get this. Why would instructions be issued to teach kids - to be required to teach kids - about taking out a mortgage and the risks of a home loan?.
Why would teachers need to be told to teach kids about money management? How much more of this stuff are these poor teachers going to be mandated to teach?
The state's Model Academic Standards for Personal Financial Literacy are extensive and detailed. A quick glance at the Table of Contents tells you DPI has it covered. Peek inside (Credit and Debt management, pp. 8 - 10) and you'll see tons of objectives and sub-objectives for 4th graders, 8th graders and 12th graders. Check it out. Yes, I think we're covered!
Basic knowledge of Math should be sufficient to help all of us understand loans that make sense, vs those that don't. I continue to be amazed at the financial pitches that apparently work: $89/month for a new Honda Civic (fine print: big down payment and a balloon payment after x years).
Most urban school districts failed to make significant progress in math achievement in the past two years, and had scores below the national average, according to a federal study.
The results, released Tuesday by the Department of Education, offer more ammunition to critics who question claims of academic progress in districts such as New York City. But federal and schools officials said that many of these districts had shown large gains since 2003, and didn't lose ground despite budget constraints.
Four of the 11 school districts the study has tracked since 2003 -- including Washington, D.C., which is in the throes of a turnaround effort -- bucked the trend and showed solid gains between 2007 and 2009.
Urban districts are central to federal efforts to improve U.S. education, especially among poor and minority students, who are disproportionately taught in underperforming schools. Congress is likely to look at the fresh data when it considers, as soon as next year, reauthorizing George W. Bush's No Child Left Behind law, which requires that all students be proficient in reading and math by 2014. The law relies on state tests, but critics -- liberals and conservatives -- worry that states may be making the tests too easy.
Scores for most districts higher than in 2003, but few make gains since 2007
Representative samples of fourth- and eighth-grade public school students from 18 urban districts participated in the 2009 assessment. Eleven of the districts also participated in the 2007 assessment, and 10 participated in 2003. Between 1,800 and 4,300 fourth- and eighth-graders were assessed in each district.
In comparison to 2007, average mathematics scores for students in large cities increased in 2009 at both grades 4 and 8; however, only two participating districts at each grade showed gains.
Scores were higher in 2009 for Boston and the District of Columbia at grade 4, and for Austin and San Diego at grade 8.
No districts showed a decline in scores at either grade.
In comparison to 2003, scores for students in large cities were higher in 2009 at both grades 4 and 8.
Increases in scores were also seen across most urban districts that participated in both years, except in Charlotte at grade 4 and in Cleveland at grades 4 and 8, where there were no significant changes.
I attended the Cleveland STEM Community Meeting on December 4 with my wife and 8th grade daughter.
First, the important parts.
My daughter is excited about the program. To her it looks like a good mix of the academic challenge of Garfield with the more personalized instruction (and project-based learning) of NOVA. She got most excited when she saw a list of the possible classes in the Global Health Academy.
My wife and I are much more confident about the probability that the program will actually be there and that it will be something like what has been advertised.
There was a pretty good crowd of people there - I'd say about forty to fifty (not counting staff).
The folks from Cleveland who were there are excited about the program and have a very clear picture of the idea - the project-based learning, the integration of technology, the alignment between classes, the extended school day and accelerated schedule, etc.
The STEM program looks real and, to us, it looks good. They still have some things to work out. The schedule is inspired, but needs some tinkering. They haven't figured out how to get the student:computer ratio to the promised 1:1. They are still missing a lot of the curricular elements - they haven't found the puzzle pieces but they know what they have to look like.
Have you ever given up working on a math problem because you couldn't figure out the next step? Wolfram|Alpha can guide you step by step through the process of solving many mathematical problems, from solving a simple quadratic equation to taking the integral of a complex function.
When trying to find the roots of 3x2+x-7=4x, Wolfram|Alpha can break down the steps for you if you click the "Show steps" button in the Result pod.
This is a music video parody of Eminem's award-winning song "Lose Yourself." Instead of a depressed rapper, we have a troubled math student who tries to find his way into the math scene by engaging in tough algebra tests, breakdance battles, and nail-biting underground math competitions.
This project was started by East High's math department; it was written by Daniel Torres. After a long recording session, four shoots, and countless hours editing, this is the end result.
I understand that the genesis of it is that last year Alan Harris told the different departments at East that they should have a theme song or something. This started out as the math department's theme song (written by a teacher, based on an Eminem song) and then Jackson Eagan, an East senior, decided to produce a video for it, starring another East math teacher.
With New Jersey high schools already facing a new mandate to teach students financial literacy, at least six school districts will be able to participate in a pilot program that establishes a class on the topic for seniors.
The state Department of Education in June added economics and financial literacy instruction to the state's high school graduation requirements.
At the same time, a bill working its way through the Legislature aimed to create a financial literacy pilot program, establishing a course on the subject in six districts. Those schools would receive advice and support from the state in establishing those classes.
Gov. Corzine signed the pilot-program bill on Nov. 20. The program, which will set up courses for high school seniors, will cover topics such as budgeting, savings and investment, and credit-card debt.
"So many young New Jerseyans find out all too late that living in a credit-card culture carries a price," said Senate Majority Leader Stephen Sweeney (D., Gloucester), one of the law's sponsors.
I would hope that essential financial calculations would be covered in Math class.
To improve science and mathematics education for American children, the White House is recruiting Elmo and Big Bird, video game programmers and thousands of scientists.
President Obama will announce a campaign Monday to enlist companies and nonprofit groups to spend money, time and volunteer effort to encourage students, especially in middle and high school, to pursue science, technology, engineering and math, officials say.
The campaign, called Educate to Innovate, will focus mainly on activities outside the classroom. For example, Discovery Communications has promised to use two hours of the afternoon schedule on its Science Channel cable network for commercial-free programming geared toward middle school students.
Science and engineering societies are promising to provide volunteers to work with students in the classroom, culminating in a National Lab Day in May.
The chart above shows the male-female test score ratio for the 2009 SAT math test (data here). For example, for perfect scores of 800, males (6,928) outnumbered females (3,124) by a ratio of 2.22 to 1. In other words, 69% of test-takers who got perfect math scores were males vs. 31% of perfect scores by females. Or we could also say that there 222 high school boys who got perfect SAT math scores for every 100 high school girls.
The graph further shows that boys outperformed girls at all 23 math test scores between 580-800 (10 point intervals, with male-female ratios of 1.0 or above), and then for math test scores between 200 points and 570, girls outnumbered boys (male-female ratio below 1.0).
Sir Maurice Wilkes, 96, one of the pioneers of British computing, strolls through the history the he helped create
Walk round the National Museum of Computing at Bletchley Park and sooner or later you'll hear a cry of recognition and someone will say: "I remember using one of those." It probably doesn't happen often to The Millionaire, a mechanical calculator that went into production in 1893, but Sir Maurice Wilkes spotted it, adding: "We used to have one in the lab. I hope it's still there."
In this case, "the lab" was what became the Cambridge University Computer Lab, which Wilkes headed from 1945 until 1980. It was where he built Edsac, one of the world's first electronic computers, using sound beams traversing baths of mercury for the memory units. Edsac (Electronic Delay Storage Automatic Calculator) first ran in May 1949, so this year a dinner was held to celebrate its 60th birthday. And, of course, to celebrate Wilkes himself, who is a bright, sharp 96 years of age, and has seen most of the history of computing at first hand.
How sharp? On seeing the museum's air traffic control display, which fascinates many visitors, he immediately asks: "Where's the radar?" Ah, well, there isn't one. The displays are running real radar sequences but they're recorded. Wilkes, the consummate hardware guy, doesn't just see the screen, he looks to see how the whole system fits together.
About a dozen New York City schools have introduced a child-friendly Rubik's Cube-based math curriculum devised for students as young as 8. In addition, New York City's Department of Parks and Recreation is planning to introduce Rubik's Cube solving at its 32 after-school program sites citywide within the next few weeks.
These actions are happening under a program conceived around two years ago by the company that owns the license to the Rubik's Cube, Seven Towns, which is based in London. In an attempt to make the cube part of an educational curriculum, the company took the relatively cryptic problem-solving guides and made them more student-friendly by adding colorful illustrations and simplifying the instructions.
How Do Students at Wright Compare to Their Peers at Other MMSD Middle Schools?
Via Jeff Henriques:
Examining the performance of only economically disadvantaged students in 8th grade, after two years and a quarter at Wright Middle School, compared with other MMSD middle schools.
American schools have struggled for decades to close what's called the 'minority achievement gap' -- the lower average test scores, grades and college attendance rates among black and Latino students.
Typically, schools place children who are falling behind in remedial classes, to help them catch up. But some schools are finding that grouping students by ability, also known as tracking or leveling, causes more problems than it solves.
Columbia High School in Maplewood, N.J., is a well-funded school that is roughly 60 percent black and 40 percent white. The kids mix easily and are friendly with one another. But when the bell rings, students go their separate ways.
Teacher Noel Cooperberg's repeat algebra class last year consisted of all minority kids who had flunked the previous year. There were only about a dozen students because the school keeps lower-level classes small to try to boost success. But a group of girls sitting in the middle never so much as picked up a pencil, and they often disrupted the class. It was a different scene from Cooperberg's honors-level pre-calculus class, which had three times as many students -- most of them white.
These two classes are pretty typical for the school. Lower-level classes -- called levels two and three -- are overwhelmingly black, while higher-level four and five are mostly white. Students are assigned to these levels by a combination of grades, test scores and teacher recommendations.
The purpose of this report is to describe the recomrnendations in response to the Madison Metropolitan School District Mathematics Task Force Report: Review of Mathematics Curriculum and Related Issues, submitted to the Board of Education June, 2008.
Administrative Recommendations Summary The materials included in this packet update and replace those distributed to the Board of Education in April 2009. Included in the materials is a proposed budget.
Middle School Mathematics Specialists (see Recommendations 1-5)
The Superintendent and UW-Madison Deans of Letters and Sciences and the School of Education commissioned a representative and collaborative group to design a professional development plan for this initiative. The group was convened in June and has since met four times during the summer to research and design a professional development plan to support middle school mathematics teachers.
The Middle School Math Partnership committee has tentatively planned five courses for the professional development proposal. Those courses are Number and Generalization, Rational Number and Proportional Reasoning, Geometry, Measurement and Trigonometry, and Algebra and Functions. The courses would be spread out over two years and be co-facilitated by UW and MMSD staff.
Research, data gathering and design will continue through 2009-2010 with the initial cohort of middle school teachers beginning in summer 2010. Upon completion of an initial draft, the plan will be presented to district teachers for further input and refinement.
In collaboration with the above group, a National Science Foundation Targeted Partnership proposal, Professional Learning Partnership K-20 (PLP K-20), was submitted on August 20, 2009. A UW-Madison and MMSD team of nearly 30 members worked during the summer to craft a proposal focused on systemic and sustainable mathematics professional development. The vision described in the proposal creates "a lasting interface to coordinate material, human, social, and cyber resources" among the UW-Madison and District. The principal investigator of the NSF proposal is Eric Wilcots. Co-Pl's include Provost Deluca, Superintendent Nerad, Dean Sandefur and Dean Underwood.
Discussing these data is a step in the right direction. Unfortunately, use of the WKCE does not instill much confidence, from my perspective. via "Some States Drop Testing Bar" by John Hechinger.
The promise of distance learning through the Internet has yet to be realized and I'm puzzled why this is the case since it should be possible to collaborate on creating a great online curriculum. Once it is created it can be easily accessed by anyone.
Why don't we use the social networking and collaborative tools we already have to put together an open-sourced curriculum consisting of text, images, videos, lectures, online volunteers acting as tutors, etc. We have all the technology we need to do all of this today.
I've always been amazed that San Francisco/Silicon Valley region public schools are so bad. We are inventing the future here, yet we can't use our ingenuity, our technologies to improve our local schools? Our public schools should be showcases, not basket cases, we should be ashamed to allow this to happen.
So it's good to see Google becoming more interested in schools because there is a lot it could do to help, especially in terms of projects like its Google Books. Maybe it could help to provide text books. It's incredible how expensive textbooks are.
For the past two days Google has hosted a conference on its campus: Breakthrough Learning in a Digital Age. The goal was to "create and act upon a breakthrough strategy for scaling up effective models of teaching and learning for children." It's not clear what breakthrough strategy has emerged but at least it's a start,
Everyone can agree that 1+1=2. But the idea that 7 is greater than 13 -- that some numbers are luckier than others -- makes no sense to some people. Such numerical biases can cause deep divisions.
And that is what happened earlier this month in Hong Kong. Property developer Henderson Land Development Co. made news for selling a condominium for $56.6 million, a price the developer called a residential record in Asia. But after that sale was announced, the property began making news for other unusual numbers. Henderson is labeling the floors of its property at 39 Conduit Road with numbers that increase, but not in the conventional 1-then-2 way. The floor above 39, for example, is 60. And the top three floors are consecutively labeled 66, 68 and 88.
This offended some people's sense of order. At a protest Sunday against high housing prices, Hong Kong Democratic Party legislators expressed dissatisfaction with the numbering scheme's tenuous relationship to reality. "You could call the ground floor the 88th floor, but it's meaningless," says Emily Lau. "When you say you live on the 88th floor, people expect you to be on the 88th floor, not the 10th floor or something."
The problem is well-known: The U.S. lags far behind other developed countries at the K-12 level in terms of measured performance in math and science courses.
What can be done to change that? The Wall Street Journal's Alan Murray posed that question to three experts: Joel Klein, chancellor of the New York City Department of Education; Amy Gutmann, president of the University of Pennsylvania; and Christopher Edley Jr., dean of the law school at the University of California at Berkeley, who was also a member of the Obama administration transition team working on education issues.
Here are edited excerpts of their discussion: It's the Teachers
ALAN MURRAY: What will it take to get the American system up to the level of some of the other developed countries in terms of math and science education?
JOEL KLEIN: The most important thing is to bring to K-12 education college graduates who excel in math and science. Those countries that are doing best are recruiting their K-12 teachers from the top third of their college graduates. America is recruiting our teachers generally from the bottom third, and when you go into our high-needs communities, we're clearly underserving them.
MR. MURRAY: How do you explain that? It doesn't seem to be a function of money. We spend more than any of these other countries.
MR. KLEIN: We spend it irrationally. My favorite example is, I pay teachers, basically, based on length of service and a few courses that they take. And I can't by contract pay math and science teachers more than I would pay other teachers in the system, even though at different price points I could attract very different people. We've got to use the money we have much more wisely, attract talent, reward excellence.
Too Big To Fail: The Inside Story of How Wall Street and Washington Fought to Save the Financial System from Crisis -- and Themselves, by Andrew Ross Sorkin
WHAT: A virtually minute-by-minute account of the scariest hours of the crisis, beginning in the aftermath of the seizures of Fannie Mae and Freddie Mac and concluding with TARP and the hastily assembled near-afterthought that was the $180 billion AIG bailout.
BEST BIT: On page 120 appears the first print mention of the rumored affair between Joe Gregory, the widely reviled chief operating officer of Lehman Brothers, and Erin Callan, the statuesque, blonde, wholly inexperienced tax attorney promoted to chief financial officer of the firm at the beginning of the year. According to the book, Callan separated from her husband "around the time" of the promotion, after which she and Gregory "became inseparable."
New statistics show that U.S. students are struggling to learn basic math. The 2009 results of the National Assessment of Educational Progress (NAEP) in math, a test given every two years to fourth- and eighth-graders nationwide, were released this week. Although average overall scores have doubled since the NAEP was introduced in 1990, results have completely flat-lined among fourth-graders, and the achievement gap between white and black students isn't narrowing.
The New York Times notes that such trends could be linked to the enactment of No Child Left Behind (NCLB) in 2002:
For today's mathematical puzzle, assume that in the year 1956 there was a children's magazine in New York named after a giant egg, Humpty Dumpty, who purportedly served as its chief editor.
Mr. Dumpty was assisted by a human editor named Martin Gardner, who prepared "activity features" and wrote a monthly short story about the adventures of the child egg, Humpty Dumpty Jr. Another duty of Mr. Gardner's was to write a monthly poem of moral advice from Humpty Sr. to Humpty Jr.
At that point, Mr. Gardner was 42 and had never taken a math course beyond high school. He had struggled with calculus and considered himself poor at solving basic mathematical puzzles, let alone creating them. But when the publisher of Scientific American asked him if there might be enough material for a monthly column on "recreational mathematics," a term that sounded even more oxymoronic in 1956 than it does today, Mr. Gardner took a gamble.
But it soon became clear that this was a field "study"-- as the teachers called it -- not a field "trip," and the 75 Harlem kindergartners were going not only for a glimpse of rural life, but to rack up extra points on standardized tests.
"I want to get smarter," 5-year-old Brandon Neal said.
"I want to do better on homework and tests," added Julliana Jimenez, one of his classmates.
New York State's English and math exams include several questions each year about livestock, crops and the other staples of the rural experience that some educators say flummox city children, whose knowledge of nature might begin and end at Central Park. On the state English test this year, for instance, third graders were asked questions relating to chickens and eggs. In math, they had to count sheep and horses.
Last summer I attended a talk by Michelle Rhee, the dynamic chancellor of public schools in Washington. Just before the session began, a man came up, introduced himself as Todd Martin and whispered to me that what Rhee was about to speak about -- our struggling public schools -- was actually a critical, but unspoken, reason for the Great Recession.
There's something to that. While the subprime mortgage mess involved a huge ethical breakdown on Wall Street, it coincided with an education breakdown on Main Street -- precisely when technology and open borders were enabling so many more people to compete with Americans for middle-class jobs.
In our subprime era, we thought we could have the American dream -- a house and yard -- with nothing down. This version of the American dream was delivered not by improving education, productivity and savings, but by Wall Street alchemy and borrowed money from Asia.
A year ago, it all exploded. Now that we are picking up the pieces, we need to understand that it is not only our financial system that needs a reboot and an upgrade, but also our public school system. Otherwise, the jobless recovery won't be just a passing phase, but our future.
"Our education failure is the largest contributing factor to the decline of the American worker's global competitiveness, particularly at the middle and bottom ranges," argued Martin, a former global executive with PepsiCo and Kraft Europe and now an international investor. "This loss of competitiveness has weakened the American worker's production of wealth, precisely when technology brought global competition much closer to home. So over a decade, American workers have maintained their standard of living by borrowing and overconsuming vis-à-vis their real income. When the Great Recession wiped out all the credit and asset bubbles that made that overconsumption possible, it left too many American workers not only deeper in debt than ever, but out of a job and lacking the skills to compete globally."
The teenagers in Stephanie Nichols's algebra class have nothing on her blank stare. And they can't even come close to her best confused expression: eyebrows furrowed, mouth frowning, a flash of ditziness framed by a blond bob.
"Sorry if I'm the slow kid," she said, slowly, during a lesson on slope. "I don't get it." As students calculated problems on the board, she interrupted, "I'm really lost. . . . How did you do that?" Occasionally, she was more blunt: "Huh?"
Nichols's vacant looks and incessant questions put the students at Arlington County's Washington-Lee High School in the uncomfortable position of being the math teacher, explaining how the numbers on the white board relate to each other, how algebra actually works.
Harvard University, one of the world's richest educational institutions, stumbled into its financial crisis in part by breaking one of the most basic rules of corporate or family finance: Don't gamble with the money you need to pay the daily bills.
The university disclosed yesterday that it had lost $1.8 billion in cash - money it relies on for the school's everyday expenses - by investing it with its endowment fund, instead of keeping it in safe, bank-like accounts. The disclosure was made in the school's annual report for the fiscal year that ended June 30.
Typically, companies and big institutions manage their cash conservatively in order to have it readily available, by keeping the money in such low-risk investments as money-market mutual funds.
But Harvard placed a large portion of its cash with Harvard Management Co., the entity that runs the university's endowment and invests in stocks, hedge funds, and other risky assets. It has been widely reported that Harvard Management's endowment investments were battered in the market crash - down 27 percent in its last fiscal year. Not revealed until yesterday was that the school's basic cash portfolio had also been caught in the undertow.
I spent Columbus Day in Sunnyvale, fittingly, meeting with a roomful of new arrivals. Well, relatively new. They were Indians living in Silicon Valley. The event was organized by the Think India Foundation, a think-tank that seeks to solve problems which Indians face. When introducing the topic of skilled immigration, the discussion moderator, Sand Hill Group founder M.R. Rangaswami asked the obvious question. How many planned to return to India? I was shocked to see more than three-quarters of the audience raise their hands.
Even Rangaswami was taken back. He lived in a different Silicon Valley, from a time when Indians flocked to the U.S. and rapidly populated the programming (and later executive) ranks of the top software companies in California. But the generational difference between older Indians who have made it in the Valley and the younger group in the room was striking. The present reality is this. Large numbers of the Valley's top young guns (and some older bulls, as well) are seeing opportunities in other countries and are returning home. It isn't just the Indians. Ask any VC who does business in China, and they'll tell you about the tens of thousands who have already returned to cities like Shanghai and Beijing. The VC's are following the talent. And this is bringing a new vitality to R&D in China and India.
Why would such talented people voluntarily leave Silicon Valley, a place that remains the hottest hotbed of technology innovation on Earth? Or to leave other promising locales such as New York City, Boston and the Research Triangle area of North Carolina? My team of researchers at Duke, Harvard and Berkeley polled 1203 returnees to India and China during the second half of 2008 to find answers to exactly this question. What we found should concern even the most boisterous Silicon Valley boosters.
f not for the two southern states, California students would be at the bottom of the national heap in mathematics, according to the 2009 Nation's Report Card released Wednesday.
The abysmal standing, which reflects in part the state's diverse population, hasn't changed much over the years. California consistently has ranked among the lowest-scoring states in the biennial National Assessment of Educational Progress, a federally mandated assessment of a sampling of fourth- and eighth-graders across the country.
On the plus side, state students have made steady progress over the years, generally keeping pace with their national counterparts - albeit from the back of the pack.
California's fourth-graders outscored their peers in only the two southern states and the District of Columbia, and tied five states. Eighth-graders outscored only Mississippi and the District of Columbia, and tied four states.
Overall, California students performed at or below the national average regardless of income or ethnicity.
The 2009 state NAEP math results were released today, and they're disappointing. Fourth grade scores, which have been a great and under-recognized success story over the last two decades, were flat. Eighth grade scores rose slightly. What to conclude? Most broadly, that most of the claims about national education policy, pro and con, have been overwrought.
Supporters of the No Child Left Behind Act-and I've generally been one of them-hoped that the law would catalyze a major upward move in student achievement. That hasn't happened. Perhaps it's because every state got to choose its own standards; perhaps it's because the law did little to get better teachers in classrooms; perhaps it's because yawning revenue disparities between and within states were largely unaddressed. Whatever was missing, something was missing, probably many things, and the next version of ESEA will need significant changes if we want to achieve more than just more of the same.
Fourth- and eighth-graders in Wisconsin have improved their scores on a national mathematics test since the early 1990s, but the gap between the performance of the state's white and black students has not gotten any better, according to test results released Wednesday.
The state's math results from the National Assessment of Educational Progress showed little change from the last time scores for those age groups were released two years ago. Fourth-graders in Wisconsin posted the same average score - 244 - that they had two years ago, although the percentage of students deemed proficient or higher in math slid to 45% from 47%. The average score for eighth-graders rose slightly to 288 on a 500-point scale, with the proficiency rate rising as well, to 39%.
"Wisconsin has made slow but steady gains in mathematics achievement for both overall achievement and for most subgroups of students," State Superintendent Tony Evers said in a news release about the results. "However, achievement gaps, in particular for African-American students in Wisconsin, are too large. We must do more."
The NAEP - also called the nation's report card - is given to samples of students to monitor progress on a statewide basis. In Wisconsin, questions from the math test were given to 3,830 fourth-graders and 3,474 eighth-graders from January to March this year. The test does not attempt to gauge performance by individual school districts.
Three years after calling for a reordering of elementary and middle school math curricula, the nation's largest group of math teachers is urging a new approach to high school instruction, one that aims to build students' ability to choose and apply the most effective problem-solving techniques, in the classroom and in life.
Cultivating those skills will make math more useful, and more meaningful, to students, the National Council of Teachers of Mathematics argues in a document scheduled for release this week.
"Focus in High School Mathematics: Reasoning and Sense Making" is a follow-up to the NCTM's 2006 document, "Curriculum Focal Points," which offered grade-by-grade content standards in math for prekindergarten through 8th grade. "Focal Points" won general praise in math circles, even from some of the NCTM's strongest critics.
The high school document has both a different purpose and a different structure. It is not a suggested set of content standards, but rather a framework that attempts to show how skills that the NCTM considers essential--reasoning and sense-making--can be promoted across high school math.
More on Singapore Math & The Madison School District
Next week's Madison School Board agenda includes a number of pages [PDF] regarding the purchase of Singapore Math materials for elementary schools. Recent activity on this front included the purchase of workbooks without textbooks.
The national mathematics conference on Cognitively Guided Instruction (CGI) had a strong Madison School District presence, with teachers there as presenters and attendees.
MMSD teachers involved with the Expanding Math Knowledge grant had the opportunity to attend the conference this summer in San Diego. EMK was a two-year grant funded by the WI Dept. of Public Instruction. The MMSD Dept. of Teaching and Learning collaborated with the UW-Madison College of Education to provide continued and expanded math education for approximately 40 teachers in grades 3-5.
In the airy computer lab at Romero-Cruz Elementary School in Santa Ana, 11-year-old Davis Nguyen quickly completed math problems. Each correct answer let an animated penguin named JiJi take steps across a bridge. The computer game looked simple, but backers say it is part of an innovative and powerful new way to teach math, and standardized test results released Tuesday appear to back up their claims.
Across the state, schools saw a 4.5% increase in the number of elementary students scoring "proficient" or "advanced" in math. But 64 Orange County elementary schools that took part in a math program created by the nonprofit MIND Research Institute saw a nearly 13% increase in the number of students scoring in those top levels.
The achievement buoyed the schools' rating as well.
This site continues to mention math curricula challenges from time to time, and as long as I am around, and have community math experiences, it will continue to do so.
I try to visit Madison's wonderful Farmer's Market weekly. This past weekend, I purchased some fabulous raspberries from an older Hmong couple. Their raspberries are the best. Unfortunately, while I made my purchase, they asked how much change I was due, something I saw repeated with other buyers. They periodically have a younger person around to handle the transactions, or a calculator.
Purchasing tickets at high school sporting events presents yet another opportunity to evaluate high schooler's basic, but ESSENTIAL math skills. A Dane County teenager could not make change from $10 for three $2 tickets recently. I have experienced this at local retail establishments as well.
Unfortunately, the "Discovery" approach to math does not appear work....
The mathematics committee of the junior high schools of Madison has been meeting regularly for four rears with one intention in mind -- to improve the mathematics program of the junior high school. After experimenting with three programs in the 7th grade, the Seeing Through Mathematics series, Books 1 and 2, were recommended for adoption and approved in May of 1963.
The sincerity of the eminently qualified professional mathematicians under Dr. Buck's chairmanship was recognized by both the administration and the committee as calling for reconsideration of the committee's decisions over the past three years relative to the choice of Seeing Through Mathematics 1, 2 and 3.
Conversely, the support of the Scott, Foresman and. Company mathematics program and its instruction philosophy, as evidenced by numerous adoptions throughout the country and the pilot studies carried out in the Madison Public Schoolsvindicated that equitable treatment of those holding diametric viewpoints should be given. It was decided that the interests of the students to be taught would be best served through a hearing of both sides before reconsideration.
A special meeting of the Junior High School. Mathematics committee was held on June 10, 1965.
Meeting 1. Presentations were made by Dr. R. C. Buck, Dr. Richard Askey, and Dr. Walter Rudin of the University of Wisconsin Mathematics Department, and Dr. J. B. Rosen, chairman-elect of the University of Wisconsin Computer Sciences Department.
The presentations emphasized the speakers' major criticism of the Seeing Through Mathematics series -- "that these books completely distort the ideas and spirit of modern mathematics, and do not give students a good preparation for future mathematics courses. Examples were used to show that from the speakers' points of view the emphasis in Seeing Through Mathematics is wrong. They indicated they felt the language overly pedantic, and the mathematics of the textbooks was described as pseudo-mathematics. However, it was pointed out that the choice of topics was good the content was acceptable (except for individual instances), and the treatment was consistent. A question and answer session tollowed the presentations.
..........
After careful consideration of all points of view, the committee unanimously recommended:
that the University of Wisconsin Mathematics and Education Departments be invited to participate with our Curriculum Department in developing end carrying out a program to evaluate the effectiveness of the Seeing Through Mathematics series and, if possible, other "modern" mathematics series in Madison and other school districts in Wisconsin;
that the committee reaffirm its decision to recommend the use of Seeing Through Mathematics, Book 3, and Algebra: Its Elements and structure, Book 1, in grade nine with Seeing Through Mathematics, Book 1 and 2 in grades seven and eight, and that the Department of Curriculum Developnent of the Madison Public Schools continue its study, its evaluation, and its revision of the mathematics curriculum; and
that en in-service program be requested for all junior high school mathematics teachers. (Details to follow in a later bulletin).
The table above (click to enlarge) is based on PSAT scores in 2008 for college-bound juniors for males and females taking the mathematics exam, showing the results for the five geographical regions of the U.S. For both males and females, the highest scores were in the Midwest states, similar to the findings for the SAT test results, reported yesterday on the NY Times Economix blog, "Why The Midwest Rules on the SAT."
The results also show a significant gender gap in favor of males for the mean math test scores in all five regions, with mean male test scores ranging from 3.2 points higher in the Midwest (52.2 for males vs. 49 for females)to a low of 2.5 points higher in the South (50 points for males vs. 47.5 for females). In all five regions, the standard deviation of male test scores was higher than the standard deviation of female test scores, confirming previous findings of greater variability in male intelligence/scores on standardized tests.
Is it better for college admissions to take an IB or AP class and receive a C or D or take a standard class and receive an A or B? Our office is decidedly split on this matter. The majority of us feel that it is better to make the grade since GPA is the first cut often for college admissions. We usually advise our students that if they are going to take an IB or AP class they need to get an A or B in the class, and to take an IB or AP class in their strength area.
My Answer:
The high school educators and college admissions officers I know best have convinced me that EVERY student going to college should take at least one college-level course and exam in high school. AP, IB or Cambridge are the best in my view, although a dual enrollment course and test given by the staff of a local college is also good. Students need that taste of college trauma to be able to make a smooth transition their freshman year.
When you consider actual situations, the threat of a bad grade from taking AP or IB fades away. A student strong enough to have a chance of admission to a selective college, the only kind that pays close attention to relative GPAs of their applicants, will be strong enough a student to get a decent grade in an AP or IB class, and a decent score on the exam. If they do NOT get a good grade in the course or the exam, then they are, almost by definition, not strong enough to compete with other students trying to get into those selective colleges. Their SAT or ACT score will show that, even if they don't take AP or IB, and I suspect their overall GPA even without AP or IB will not be that great. If you know of a straight-A, 2100 SAT student who did poorly in an AP course, let me know, and I will revise my opinion. But I have never encountered such a student in 20 years of looking at these issues.
It's not every day you move an atom with a mouse click. But this is precisely what I do one day at the Singularity University, a new institution supported by Google and Nasa, which aims to educate a select group of entrepreneurs and scientists about the rapid pace of technology.
The class of 40 students - who are taking time out of their working lives - has settled into a busy routine. Our 12-hour days are crammed with experiments, visits to technology centres including IBM and Willow Garage, and discussion with experts. The purpose is to open our eyes to the pace of change and future possibilities.
On Wednesday we arrive at IBM Almaden research centre, a series of black glass buildings in the hills near San Jose. Unassuming office doors open to reveal scientists working away in a scene reminiscent of a sci-fi movie. We meet Kevin Roche, who is building complex machines that can deposit thin films of atoms to form nano-scale devices.
This is where, in 1989, the physicist Donald Eigler built a scanning tunnelling microscope and demonstrated the ability precisely to manipulate individual atoms by rearranging xenon atoms to spell out IBM. In homage, we use a similar machine and write SU (for Singularity University) by selecting iron atoms with a mouse and nudging them across the screen.
We open another door and witness magnetic "racetrack" memory experiments. This is the idea of storing data in magnetic field domains that can then slide or "race" along nano-wires so they can be read quickly. The idea may help our future portable devices to store hundreds of times more video.
using single numbers in spreadsheets used to model financial risk and instead use a "distribution" - a range of numbers. He says that by using a distribution or "dist" we would be able to not only produce better models of uncertainty but we would avoid fundamental mistakes in modeling financial and operational performance.
Currently, the most widely used method of predicting uncertainty is to use single numbers, usually representing a single average of expected outcomes.
However, models based on average assumptions are wrong on average. This is a paradox that has been known by mathematicians for nearly 100 years, called Jensen's Inequality. Although business schools teach Jensen's Inequality, business managers continue to use average numbers to try to model things like demand, production, and project completion time. And they are constantly surprised by real world outcomes that can be very costly.
To answer the age-old question "When am I going to use this?," school systems in Calvert, Charles and St. Mary's counties are working to enrich their science, technology, engineering and mathematics programs by using hands-on teaching, guest speakers and real-world experiments and applications.
Charles is expanding its Gateway to Technology to all middle schools after a successful pilot program last year, school system spokeswoman Katie O'Malley-Simpson said. The program is part of the nationally recognized Project Lead the Way curriculum, which supports engineering and science.
"It focuses on showing, rather than telling, students how to use engineering in everyday problems," O'Malley-Simpson said. "They see that because they are applying their skills as they learn them."
Reading
In PIRLS 2006, the average U.S. 4th-graders' reading literacy score (540) was above the PIRLS scale average of 500, but below that of 4th-graders in 10 of the 45 participating countries, including 3 Canadian provinces (Russian Federation, Hong Kong, Alberta, British Columbia, Singapore, Luxembourg, Ontario, Hungary, Italy, and Sweden).
Among the 28 countries that participated in both the 2001 and 2006 PIRLS assessments, the average reading literacy score increased in 8 countries and decreased in 6 countries. In the rest of these countries, including the United States, there was no measurable change in the average reading literacy score between 2001 and 2006. The number of these countries that outperformed the United States increased from 3 in 2001 to 7 in 2006.
Mathematics
The 2007 TIMSS results showed that U.S. students' average mathematics score was 529 for 4th-graders and 508 for 8th-graders. Both scores were above the TIMSS scale average, which is set at 500 for every administration of TIMSS at both grades, and both were higher than the respective U.S. score in 1995.
Fourth-graders in 8 of the 35 other countries that participated in 2007 (Hong Kong, Singapore, Chinese Taipei, Japan, Kazakhstan, Russian Federation, England, and Latvia) scored above their U.S. peers, on average; and 8th-graders in 5 of the 47 other countries that participated in 2007 (Chinese Taipei, Korea, Singapore, Hong Kong, and Japan) scored above their U.S. peers, on average.
Among the 16 countries that participated in both the first TIMSS in 1995 and the most recent TIMSS in 2007, at grade 4, the average mathematics score increased in 8 countries, including in the United States, and decreased in 4 countries. Among the 20 countries that participated in both the 1995 and 2007 TIMSS at grade 8, the average mathematics score increased in 6 countries, including in the United States, and decreased in 10 countries.
In PISA2006, U.S. 15-year-old students' average mathematics literacy score of 474 was lower than the OECD average of 498, and placed U.S. 15-year-olds in the bottom quarter of participating OECD nations, a relative position unchanged from 2003.
Fifteen-year-old students in 23 of the 29 other participating OECD-member countries outperformed their U.S. peers.
There was no measurable change in U.S. 15-year-olds' average mathematics literacy score between 2003 and 2006, in its relationship to the OECD average, or in its relative position to the countries whose scores increased or decreased.
Science
The 2007 TIMSS results showed that U.S. students' average science score was 539 for 4th-graders and 520 for 8th-graders. Both scores were above the TIMSS scale average, which is set at 500 for every administration of TIMSS at both grades, but neither was measurably different than the respective U.S. score in 1995.
Fourth-graders in 4 of the 35 other countries that participated in 2007 (Singapore, Chinese Taipei, Hong Kong, and Japan) scored above their U.S. peers, on average; and 8th-graders in 9 of the 47 other countries that participated in 2007 (Singapore, Chinese Taipei, Japan, Korea, England, Hungary, the Czech Republic, Slovenia, and the Russian Federation) scored above their U.S. peers, on average.
While there was no measurable change in the average score of U.S. 4th-graders or 8th-graders in science between 1995 and 2007, among the other 15 countries that participated in the 1995 and 2007 TIMSS at grade 4, the average science score increased in 7 countries and decreased in 5 countries; and among the other 18 countries that participated in both the 1995 and 2007 TIMSS at grade 8, the average science score increased in 5 countries and decreased in 3 countries.
In PISA 2006, U.S. 15-year-old students' average science literacy score of 489 was lower than the OECD average of 500, and placed U.S. 15-year-olds in the bottom third of participating OECD nations. Fifteen-year-old students in 16 of the 29 other participating OECD-member countries outperformed their U.S. peers in terms of average scores.
Technical notes about the data sources, methodology, and standard errors are included at the end of this report.
The one-year project involves 15 seventh-grade teachers in seven Pinellas schools. They will attend workshops and monthly meetings focused on using technology-based curriculum based on advanced math concepts.
MMSD has begun a three-year implementation plan to achieve an equitable and balanced mathematics program at tbe elementary level. The plan was developed and refined through collaboration with teachers, Instructional Resource Teachers and principals over the course of the past several years. The plan includes the materials described below (details via this 64K PDF),
MMSD has provided all Title I schools with the Primary Mathematics (Singapore) workbooks and Extra Practice workbooks for the 2009-2010 school year. All manipulatives have been ordered for Title I schools over tbe past two years and are in place. Non-Title I schools have been and will continue to use ELM funds to purchase tbe student components for the implementation of a balanced mathematics classroom.
At Harvard, Carrie Grimes majored in anthropology and archaeology and ventured to places like Honduras, where she studied Mayan settlement patterns by mapping where artifacts were found. But she was drawn to what she calls "all the computer and math stuff" that was part of the job.
"People think of field archaeology as Indiana Jones, but much of what you really do is data analysis," she said.
Now Ms. Grimes does a different kind of digging. She works at Google, where she uses statistical analysis of mounds of data to come up with ways to improve its search engine.
Ms. Grimes is an Internet-age statistician, one of many who are changing the image of the profession as a place for dronish number nerds. They are finding themselves increasingly in demand -- and even cool.
"I keep saying that the sexy job in the next 10 years will be statisticians," said Hal Varian, chief economist at Google. "And I'm not kidding."
By way of introduction, I am neither mathematician nor mathematics teacher, but I majored in math and have used it throughout my career, especially in the last 17 years as an analyst for the U.S. Environmental Protection Agency. My love of and facility with math is due to good teaching and good textbooks. The teachers I had in primary and secondary school provided explicit instruction and answered students' questions; they also posed challenging problems that required us to apply what we had learned. The textbooks I used also contained explanations of the material with examples that showed every step of the problem solving process.
I fully expected the same for my daughter, but after seeing what passed for mathematics in her elementary school, I became increasingly distressed over how math is currently taught in many schools.
Optimistically believing that I could make a difference in at least a few students' lives, I decided to teach math when I retire. I enrolled in education school about two years ago, and have only a 15-week student teaching requirement to go. Although I had a fairly good idea of what I was in for with respect to educational theories, I was still dismayed at what I found in my mathematics education courses.
In class after class, I have heard that when students discover material for themselves, they supposedly learn it more deeply than when it is taught directly. Similarly, I have heard that although direct instruction is effective in helping students learn and use algorithms, it is allegedly ineffective in helping students develop mathematical thinking. Throughout these courses, a general belief has prevailed that answering students' questions and providing explicit instruction are "handing it to the student" and preventing them from "constructing their own knowledge"--to use the appropriate terminology. Overall, however, I have found that there is general confusion about what "discovery learning" actually means. I hope to make clear in this article what it means, and to identify effective and ineffective methods to foster learning through discovery.
Bill Gates called US immigration restrictions a "huge mistake" while on tour of India today, urging America to open its golden doors for more "smart people."
The Microsoft billionaire spoke out on US immigration at a software CEO forum Monday in New Deli while visiting the country to receive the Indira Gandhi Prize for Peace, Disarmament, and Development.
"I have been speaking about some of the immigration restrictions that the US has got involved in, and they are terrible for the US and also terrible for the world," India's national newspaper The Hindu quotes Gates saying. "The US Congress is very tough on immigration, in general. And my position has been, well, that is unfortunate, but what about making an exception for smart people, people with engineering degrees and letting such people come in."
Adding that Microsoft has always been against tougher immigration laws, Gates said stricter US policy would be a "huge mistake."
Maria Mendoza is hunkered over her math workbook, diligently copying a work sheet, "Adding 3 & 4 Digit Numbers." She had copied it once already, and completed the problems. But there were two minor errors and the math teacher, Agnes Kaiser, had returned it to be done over.
Mendoza, 13, happily complied.
"Now I get it," she said, satisfied.
Maria, who will be in eighth grade this fall at Graham Middle School, was one of 81 students from Mountain View in the four-week summer math program that ended Friday at Foothill College in Los Altos.
This is no ordinary summer math camp for students behind many grades in their learning of math. The curriculum used to teach Maria and other students is Math My Way, the program the college has been using successfully for years to teach intensive, remedial math to incoming community college students with elementary-level math skills. The camp was funded with a $77,000 grant from the Silicon Valley Community Foundation, part of an initiative to close the education achievement gap, a learning disparity among different racial groups.
The State Board of Education has made a minor revision in the high school math credit requirements.
During a meeting in Gig Harbor on Friday, the board gave students more flexibility in their choices for high school math.
The board decided earlier that beginning with the class of 2013, high school students will be required to earn three credits of math to earn a diploma.
When the requirement was changed, the state rule said students who took a high school level math class without credit as an eighth grader were required to repeat that same course for credit in high school.
Independent public schools may be getting a chance in the Bay State
MASSACHUSETTS ranks at or near the top of national measures of how well schoolchildren do at reading and mathematics. A leader in early-years education, it is also applauded for its vocational, technical and agriculture schools. Still, there are problems. The disparity between students in affluent districts and those in low-income urban ones is shocking. In the Concord/Carlisle school district, for instance, 92% of students graduated from high-school on time and planned to attend a four-year college or university in 2007, compared with just 12.8% in Holyoke, one of the poorest cities in the state.
Many states have turned to charter schools (self-governing publicly-funded schools) to close achievement gaps like that, but charters are a tricky subject in Massachusetts even though the few they do have, such as Boston Collegiate, are among the best in the country. Unions abhor them while the school boards that run most public schools fear losing power and funding. Politicians have been unwilling to take on Massachusetts's mighty unions.
Last year Deval Patrick, the self-styled "education governor" of the state, unveiled a 55-point plan to overhaul the state's education system. The governor's package includes the introduction of three types of "readiness schools" to turn around poorly performing districts. Like charters, they will have greater flexibility, autonomy and will be held accountable for their results. But they will not be fully independent, remaining under the control of local school boards. Mr Patrick will introduce a bill authorising these schools later this month. One sort would have an external partner, such as a university, while another would be teacher-led.
Maryland's public schools are teaching mathematics in such a way that many graduates cannot be placed in entry-level college math classes because they do not have a grasp of the basics, according to education experts and professors.
College math professors say there is a gap between what is taught in the state's high schools and what is needed in college. Many schools have de-emphasized drilling students in basic math, such as multiplication and division, they say.
"We have hordes of students who come in and have forgotten their basic arithmetic," said Donna McKusick, dean for developmental education at the Community College of Baltimore County. College professors say students are taught too early to rely on calculators. "You say, 'What is seven times seven?' and they don't know," McKusick said.
Ninety-eight percent of Baltimore students signing up for classes at Baltimore City Community College had to pay for remedial classes to learn the material that should have been covered in high school. Across Maryland, 49 percent of the state's high school graduates take remedial classes in college before they can take classes for credit.
For over a thousand years--from the fifth century B.C. to the fifth century A.D.--Greek mathematicians maintained a splendid tradition of work in the exact sciences: mathematics, astronomy, and related fields. Though the early synthesis of Euclid and some of the supremely brilliant works of Archimedes were known in the medieval west, this tradition really survived elsewhere. In Byzantium, the capital of the Greek-speaking Eastern empire, the original Greek texts were copied and preserved. In the Islamic world, in locales that ranged from Spain to Persia, the texts were studied in Arabic translations and fundamental new work was done. The Vatican Library has one of the richest collections in the world of the products of this tradition, in all its languages and forms. Both the manuscripts that the Vatican collected and the work done on them in Rome proved vital to the recovery of ancient science--which, in turn, laid the foundation for the Scientific Revolution of the 16th and 17th centuries. In the Roman Renaissance, science and humanistic scholarship were not only not enemies; they were natural allies.
In the recent Tom Hanks/Ron Howard film "Angels & Demons," science sets the stage for destruction and chaos. A canister of antimatter has been stolen from CERN -- the European Organization for Nuclear Research -- and hidden in the Vatican, set to explode right as a new pope is about to be selected.
Striving to make these details as realistic as possible on screen, Howard and his film crew visited CERN, used one of its physicists as a science consultant, and devoted meticulous care to designing the antimatter canister that Hanks' character, Robert Langdon, and his sexy scientist colleague, Vittoria Vetra (Ayelet Zurer), wind up searching for.
But there was nothing they could do about the gigantic impossibility at the center of the plot. While the high-energy proton collisions generated at CERN do occasionally produce minute quantities of antimatter -- particles with the opposite electrical charge as protons and electrons, but the same mass, which can in turn be combined into atoms like antihydrogen -- it's not remotely enough to power a bomb. As CERN quips on a Web site devoted to "Angels & Demons," antimatter "would be very dangerous if we could make a few grams of it, but this would take us billions of years."
When the Bamberger family opened a haberdashery 65 years ago, they insisted their staff use mental arithmetic to price up customers' purchases.
Despite the arrival of calculators, that attitude has remained unchanged over the intervening years.
But now the family finds itself facing an unexpected maths problem - most youngsters it would like to employ are incapable of working out sums in their heads.
arly childhood mathematics is vitally important for young children's present and future educational success. Research has demonstrated that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success.
Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
The Woodrow Wilson Indiana Teaching Fellowship seeks to attract talented, committed individuals with backgrounds in the STEM fields--science, technology, engineering, and mathematics--into teaching in high-need Indiana high schools. Learn more...
Funded through a $10 million grant from the Lilly Endowment, the Fellowship offers rigorous disciplinary and pedagogical preparation, extensive clinical experience, and ongoing mentoring. Eligible applicants include current undergraduates, recent college graduates, midcareer professionals, and retirees who have majored in, or had careers in, STEM fields.
Like many teenagers, Ari Weinstein spends his summers riding his bike and swimming. This year, the 15-year-old had another item on his to-do list: Foil Apple Inc.'s brightest engineers and annoy chief executive Steve Jobs.
Ari is part of a loose-knit group of hackers that has made it a mission to "jailbreak" Apple's iPhone and iPod touch. The term refers to installing unapproved software that lets people download a range of programs, including those not sanctioned by Apple.
Since Apple began selling its latest iPhone 3GS on June 19, Ari and six online cohorts spent hours a day probing the new product for security holes. This weekend, one of the member of the group, dubbed the Chronic Dev Team, released the jailbreaking software they've been working on. Ari says the program is a test version with some bugs, but that users have successfully downloaded it. A quarter-million people have visited the site, he says.
"Coding and testing things that may or may not work, and figuring things out, is a really rewarding experience," says Ari, a Philadelphia resident who began hacking when he was 11.
Wisconsin education officials are aiming to move into the national mainstream by setting firmer standards for what children should learn in school and finding better ways to measure achievement.
Wisconsin built a reputation in recent years for having loosely written state standards. The state was viewed as setting the bar about as low as anywhere in the country in determining if students were proficient, and taking too rosy an approach to deciding whether schools were getting adequate results.
Several national groups, some of them with conservative orientations but others harder to peg politically, criticized the state for its softness.
The report from the Diploma Project, issued last week, says that in revising its statement of what students are expected to learn in English and math, "Wisconsin has taken an important step to better prepare young people for success in post-secondary education and in their careers."
Doris Broome DeBoe, who became one of the District's leading math teachers, said she was drawn to the subject because it was absolute. Where other subjects were subjective, she said, math was exact.
"Once you understand what you are doing, there is no deviation," she said.
As a teacher, she believed in endless math drills, nightly homework and practice. She described herself not as a harsh instructor but as one who thought algebra is "a skill like ball playing and piano playing. Once you learn the basics, practice is necessary to ensure mastery."
She said every child had the potential to do well in class. "My best dog is the underdog," she told her students.
Her conviction motivated many students. Michael Bell, a student at Bertie Backus Middle School in the mid-1970s, said Mrs. DeBoe was the inspiration for creating his math preparation company, Acaletics, which helps develop curriculums and training programs within the Florida public school system. His company follows the same basic formula as Mrs. DeBoe's teaching: Practice makes perfect.
Dan Bontrager is a 54-year-old Amish man with flecks of gray in his long beard. He's also treasurer of the Tri-County Land Trust, an Amish lending cooperative created to support the Amish maxim that community enhances faith in God.
This past spring, Mr. Bontrager was startled when a number of men he has known most of his life tied their horses to the hitching post outside his office and came inside to withdraw their money from the Land Trust.
"We had a run," Mr. Bontrager says. "I don't know if you know anything about the Amish grapevine, but word travels fast. Somebody assumed it was going to happen, and it started a panic."
The Public Policy Forum's latest report, released today, finds that of the 10 career clusters predicted to grow the most over the next five years, seven include occupations requiring strong backgrounds in science, math, technology, or engineering (STEM). Of the 10 specific jobs predicted to be the fastest growing in the state, eight require STEM skills or knowledge and six require a post-secondary degree.
Do Wisconsin's state educational policies reflect this growing need for STEM-savvy and skilled workers? Are Wisconsin education officials focusing on STEM in a coherent and coordinated way? Our new report probes those issues by examining state workforce development data and reviewing state-level policies and standards that impact STEM education.
We present several policy options that could be considered to build on localized STEM initiatives and establish a greater statewide imperative to prioritize STEM activities in coordination with workforce needs. Those include:
Someone always asks the math teacher, "Am I going to use calculus in real life?" And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.
Italian researchers found people were better at processing information when requests were made on that side in three separate tests.
They believe this is because the left side of the brain, which is known to be better at processing requests, deals with information from the right ear.
The findings are reported online in the journal Naturwissenschaften.
Vineet Nayar is reported to have called Americans graduates "unemployable"; the CEO of IT services vendor HCL Technologies was speaking recently in New York. In IT Blogwatch, bloggers debate racism, stereotyping, sweatshops, and H1B visas.
By Richi Jennings, your humble blogwatcher, who has selected these bloggy tidbits for your enjoyment. Not to mention the best gaming toilets...
Rob Preston reports inflammatory comments with dignity:
History has had no shortage of outstanding female mathematicians, from Hypatia of Alexandria to Ada Lovelace, and yet no woman has ever won the Fields medal - the Nobel prize of the maths world. The fact that men outnumber women in the highest echelons of mathematics (as in science, technology and engineering) has always been controversial, particularly for the persistent notion that this disparity is down to an innate biological advantage.
AdaLovelace.jpgNow, two professors from the University of Wisconsin - Janet Hyde and Janet Mertz - have reviewed the strong evidence that at least in maths, the gender gap is down to social and cultural factors that can help or hinder women from pursuing the skills needed to master mathematics.
The duo of Janets have published a review that tackles the issue from three different angles. They considered the presence of outstanding female mathematicians. Looking beyond individuals, they found that gender differences in maths performance don't really exist in the general population, with girls now performing as well as boys in standardised tests. Among the mathematically talented, a gender gap is more apparent but it is closing fast in many countries and non-existent in others. And tellingly, the size of the gap strongly depends on how equally the two sexes are treated.
Are men naturally better at math than women or is that just an out-dated stereotype? When former Harvard president Larry Summers said publicly in 2005 that men are innately better at math, many women were outraged. So a couple of women scientists decided to research it. This ScienCentral News video explains their report published this week.
The tables above show selected statistics from the paper Global Sex Differences in Test Score Variability (see summary here), published by two economists, one from the London School of Economics and the other from the Helsinki School of Economics. Analyzing standardized test scores in reading and mathematics from the OECD's "Program for International Student Assessment" (PISA), a survey of 15-year olds in 41 industrialized countries, the authors found that:
Our analysis of international test score data shows a higher variance in boys' than girls' results on mathematics and reading tests in most OECD countries. Higher variability among boys is a salient feature of reading and mathematics test performance across the world. In almost all comparisons, the age 15 boy-girl variance difference in test scores is present. This difference in variance is higher in countries that have higher levels of test score performance.
Mathematics teachers in one coastal Connecticut school district were frustrated with students' inability to retain what they learned in Algebra I and apply it to Algebra II, so they decided to approach high school mathematics instruction in a new way. The teachers shrank the number of topics covered in each course by about half and published their custom-made curriculum online last fall, the New York Times reports.
The new curriculum's lessons were written by Westport, Conn., teachers and sent to HeyMath! of India, a company that adds graphics, animation, and sound to the lessons before posting them on the Web. But teachers say the new curriculum is as much about bringing classroom instruction into the digital age as it is about having the opportunity to teach students fewer concepts in greater depth.
Westport's decision to rewrite its math curriculum is part of a growing trend to re-evaluate "mile-wide, inch-deep" instruction. In 2006, the National Council of Teachers of Mathematics pushed for more basic math skills instruction, and two years later a federal panel of investigators appointed by then President George W. Bush also urged schools to whittle down their elementary and middle school math curricula.
From a recent post on the Madison United for Academic Excellence (MUAE) listserve:
There is an effort under way to rewrite the Wisconsin math state standards. Comments from the public are invited until this coming Monday (June 15).
Some math professors at UW-Madison believe the draft could use some improvement and encourage folks to review the standards and submit comments via a survey all of which can found at: http://dpi.wi.gov/cal/standards-revisions.html
Another website with standards that can be used for comparison is: http://www.achieve.org/node/479 Achieve is one of the organizations that are involved in drafting the
national standards-to-be. The governor has agreed to enroll in the group of States that will align the standards of the state with the national standards the Obama administration is pushing for.
Teen's lessons from China. I am a product of an American private elementary school and public high school, and I am accustomed to classrooms so boisterous that it can be considered an accomplishment for a teacher to make it through a 45-minute class period without handing out a misdemeanor mark. It's no wonder that the atmosphere at Yanqing No. 1 Middle School ("middle school" is the translation of the Chinese term for high school), for students in grades 10-12, seems stifling to me. Discipline problems are virtually nonexistent, and punishments like lowered test scores are better deterrents for rule breaking than detentions you can sleep through.
But what does surprise me is that, despite the barely controlled chaos that simmers just below the surface during my classes at Boston Latin School, I feel as though I have learned much, much more under the tutelage of Latin's teachers than I ever could at a place like Yanqing Middle School, which is located in a suburb of Beijing called Yanqing.
Students spend their days memorizing and doing individual, silent written drills or oral drills in total unison. Their entire education is geared toward memorizing every single bit of information that could possibly materialize on, first, their high school entrance exams, and next, their college entrance exams. This makes sense, because admission to public high schools and universities in China is based entirely on test scores (although very occasionally a rich family can buy an admission spot for their child), and competition in the world's most populous country to go to the top schools makes the American East Coast's Harvard-or-die mentality look puny.
Chinese students, especially those in large cities or prosperous suburbs and counties and even some in impoverished rural areas, have a more rigorous curriculum than any American student, whether at Charlestown High, Boston Latin, or Exeter. These students work under pressure greater than the vast majority of US students could imagine.
And yet, to an American student used to the freedom of debate during history or English class, to free discussion of possible methods for solving different math problems, the work seems hollow and too directed. The average class size is about 45 students (compared with the limit of 28 in Boston that is exceeded by three or four students at most), which severely limits the amount of attention a teacher can give a student.
It isn't that the curriculum is blatant propaganda, or that the answer to every math problem is Mao Zedong. It's more that there is very little room to maneuver: There is one good way to solve a math problem, or one way to program a computer, or one good way to do homework. Every class has the same homework, a worksheet printed on wafer paper, and essays are rare.• Novels are not taught in class, and teachers encourage outside reading of histories rather than fiction. The only fiction texts read in class are excerpts from the four classics (Imperial texts that are not considered novels) and Imperial poetry. The point of class is to cram as much information into the students in as little time as possible, all in preparation for entrance exams.
Students lack the opportunity to discuss and digest what they learn. Most rarely participate in political discussions outside class. During a weekend dinner at a classmate's house, I brought up the issue of Tibet and heard my classmate's father complain first about how Tibet wanted independence and second about how his daughter didn't know anything about it. The recent Tiananmen anniversary was a nonissue; the students say they are too busy with work to talk much about politics. Chinese high school students therefore have little practice in the decision-making and circumspection that Americans consider an integral part of education.
Chinese schools have many strengths, but they do not foster many broadly philosophical thinkers.
Annie Osborn is a Boston Latin School student. She recently completed her junior year at School Year Abroad in Beijing.
• [Boston Latin School no longer assigns "traditional" history research papers, they told me...in any case, they have never sent me any...Will Fitzhugh, The Concord Review]
Programmers from China and Russia have dominated an international competition on everything from writing algorithms to designing components.
Whether the outcome of this competition is another sign that math and science education in the U.S. needs improvement may spur debate. But the fact remains: Of 70 finalists, 20 were from China, 10 from Russia and two from the U.S.
TopCoder Inc., which runs software competitions as part of its software development service, operates TopCoder Open, an annual contest.
About 4,200 people participated in the U.S. National Security Agency-supported challenge. The NSA has been sponsoring the program for a number of years because of its interest in hiring people with advanced skills.
Participants in the contest, which was open to anyone -- from student to professional -- and finished with 120 competitors from around the world, went through a process of elimination that finished this month in Las Vegas.
China's showing in the finals was also helped by the sheer volume of its numbers, 894. India followed at 705, but none of its programmers were finalists. Russia had 380 participants; the United States, 234; Poland, 214; Egypt, 145; and Ukraine, 128, among others.
But they're off base in implying that alternative certification programs such as the American Board for Certification of Teacher Excellence, proposed in SB 175, will mean more students won't have effective teachers.
Research has shown otherwise.
A recent study in "Education Next" showed states with genuine alternative certification programs see higher test scores and more minority teachers. A Brookings Institute study from 2006 showed that teachers who have come through colleges of education are no more effective than teachers who come through an alternative certification program or no certification program at all.
In addition, ABCTE's rigorous teacher preparation program includes nearly 200 hours of workshops on topics such as pedagogy and classroom assessment. Our exams are difficult, with only 40 percent of candidates passing on the first try. As a result, our teacher retention rate is 85 percent after three years, compared to less than 65 percent for traditional certification routes.
I understand Hewson and Knuth's motivation for suggesting that an alternative to traditional certification may not produce great teachers. That philosophy is good for their employer, but not -- as research has shown -- any better for students.
/-- David Saba, president, ABCTE, Washington, D.C./
A musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. "We are helping our students become more competitive in an increasingly sound-filled world." Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made--all without the advice or participation of a single working musician or composer.
Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the "language of music." It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a thorough grounding in music notation and theory. Playing and listening to music, let alone composing an original piece, are considered very advanced topics and are generally put off until college, and more often graduate school.
An Email to Madison Superintendent Dan Nerad on Math Teacher Hiring Criteria
Thanks much for taking the time from your busy schedule to respond to our letter below. I am delighted to note your serious interest in the topic of how to obtain middle school teachers who are highly qualified to teach mathematics to the MMSD's students so that all might succeed. We are all in agreement with the District's laudable goal of having all students complete algebra I/geometry or integrated algebra I/geometry by the end of 10th grade. One essential component necessary for achieving this goal is having teachers who are highly competent to teach 6th- through 8th-grade mathematics to our students so they will be well prepared for high school-level mathematics when they arrive in high school.
The primary point on which we seem to disagree is how best to obtain such highly qualified middle school math teachers. It is my strong belief that the MMSD will never succeed in fully staffing all of our middle schools with excellent math teachers, especially in a timely manner, if the primary mechanism for doing so is to provide additional, voluntary math ed opportunities to the District's K-8 generalists who are currently teaching mathematics in our middle schools. The District currently has a small number of math-certified middle school teachers. It undoubtedly has some additional K-8 generalists who already are or could readily become terrific middle school math teachers with a couple of hundred hours of additional math ed training. However, I sincerely doubt we could ever train dozens of additional K-8 generalists to the level of content knowledge necessary to be outstanding middle school math teachers so that ALL of our middle school students could be taught mathematics by such teachers.
Part of our disagreement centers around differing views regarding the math content knowledge one needs to be a highly-qualified middle school math teacher. As a scientist married to a mathematician, I don't believe that taking a couple of math ed courses on how to teach the content of middle school mathematics provides sufficient knowledge of mathematics to be a truly effective teacher of the subject. Our middle school foreign language teachers didn't simply take a couple of ed courses in how to teach their subject at the middle school level; rather, most of them also MAJORED or, at least, minored in the subject in college. Why aren't we requiring the same breathe and depth of content knowledge for our middle school mathematics teachers? Do you really believe mastery of the middle school mathematics curriculum and how to teach it is sufficient content knowledge for teachers teaching math? What happens when students ask questions that aren't answered in the teachers' manual? What happens when students desire to know how the material they are studying relates to higher-level mathematics and other subjects such as science and engineering?
The MMSD has been waiting a long time already to have math-qualified teachers teaching mathematics in our middle schools. Many countries around the world whose students outperform US students in mathematics only hire teachers who majored in the subject to teach it. Other school districts in the US are taking advantage of the current recession with high unemployment to hire and train people who know and love mathematics, but don't yet know how to teach it to others. For example, see http://www.reuters.com/article/domesticNews/idUSTRE54L2W120090522
If Madison continues to wait, we will miss out on this opportunity and yet another generation of middle schoolers will be struggling to success in high school.
The MMSD has a long history of taking many, many year to resolve most issues. For example, the issue of students receiving high school credit for non-MMSD courses has been waiting 8 years and counting! It has taken multiple years for the District's math task force to be formed, meet, write its report, and have its recommendations discussed. For the sake of the District's students, we need many more math-qualified middle school teachers NOW. Please act ASAP, giving serious consideration to our proposal below. Thanks.
Superintendent Dan Nerad's Response to "Action Needed, Please Sign on.... Math Teacher Hiring in the Madison School District"
Madison School District Superintendent Dan Nerad via email:
Dr. Mertz-
Thank you for sharing your thoughts regarding this critical issue in our middle schools. We will continue to follow the conversation and legislative process regarding hiring Teach for America and Math for America candidates. We have similar concerns to those laid out by UW Professors Hewson and Knuth (http://www.madison.com/wsj/home/forum/451220). In particular they stated, "Although subject-matter knowledge is essential to good teaching, the knowledge required for teaching is significantly different from that used by math and science professionals." This may mean that this will not be a cost effective or efficient solution to a more complex problem than many believe it to be. These candidates very well may need the same professional learning opportunities that we are working with the UW to create for our current staff. The leading researchers on this topic are Ball, Bass and Hill from the University of Michigan. More information on their work can be found at (http://sitemaker.umich.edu/lmt/home). We are committed to improving the experience our students have in our mathematics class and will strive to hire the most qualified teachers and continue to strengthen our existing staff.
You might think of flash cards and work sheets when you think of grade-school math. But now, thanks to two young brothers from Hinsdale, there's an app for that.
Eleven-year-old Owen Voorhees' iPhone application, MathTime, debuted in the iTunes App Store last week. The simple program, which displays random addition, subtraction, multiplication or division problems and their solutions, has been a work in progress for nearly nine months.
"I hope it helps people practice their facts," Owen said, explaining that the application is intended for students a bit younger than himself, such as brother Finn, 9.
When Maryland's high school class of 2009 graduates next month, it will become the first in the state to prove it can solve an equation such as 12x + 84 =252. (Answer: 14.)
But state officials still don't know the value of another variable: the number of students who won't pass exams in algebra, English, biology and government for a new graduation requirement. As of March, about 4,000 of 58,000 seniors statewide hadn't passed the High School Assessments or met an alternative academic standard. This is the first year that seniors have been required to meet the testing standard.
State and local officials predict that graduation rates will remain roughly the same and that only a handful of seniors will be denied a diploma based on the HSA requirement.
After Irace got his termination papers in June from JPMorgan Chase, he called "Brother K."
Brother Kenneth Hoagland, the principal at Kellenberg, a private Catholic institution, taught Irace at Chaminade High School in Mineola, New York.
Hoagland called Irace in for an interview in August, when he needed a replacement for a math instructor on leave. A month later, the former trader was teaching quadratic equations and factoring to freshmen in five 40-minute periods of algebra a day. He enrolled in refresher math classes at Nassau Community College, sometimes learning subjects a day or two ahead of the kids. This semester, he's teaching sixth-graders measurements and percentages.
Conditioning Drills
Seated at wooden desks, 21 to 39 in each class, they get excited when he flashes the animated math adventures of a robot named Moby onto a classroom projector. After school, Irace, now 198 pounds (90 kilograms), puts a whistle on a yellow cord around his neck and runs girls through conditioning drills as an assistant coach for the lacrosse team. The extra coaching stipend runs $1,000 to $2,000 for the season.
While this legislation is well-intentioned, it will ultimately do more harm than good -- and it is the children in the most troubled schools who will pay the price.
Here's why: SB 175 is intended to attract math and science professionals (engineers and scientists) into teaching, based on the belief that they have the necessary subject-matter knowledge. The bill would allow them to get teaching licenses almost entirely on the basis of written tests (a math test, for example), as long as they receive some loosely specified form of mentoring during their first year on the job.
There's nothing wrong with using written tests, and mentoring new teachers is a great idea. But neither is sufficient to protect children from dangerously under-prepared teachers.
Although subject-matter knowledge is essential to good teaching, the knowledge required for teaching is significantly different from that used by math and science professionals. A well-constructed certification program gives beginning teachers a crucial knowledge base (of math or science as well as about teaching) and helps them develop the skills and practices that bring this knowledge to life.
There's a reason that so many certification programs immerse new teachers in classroom tasks gradually: It gives them a chance to make their mistakes and sharpen their skills in more controlled, lower-stakes contexts before handing them primary responsibility for a classroom of students.
Repetition doesn't make something true. The latest reminder was a piece by Financial Times columnist Clive Crook, in which he warns that America's long-term economic prospects are bleak because of a "calamitous" failure of schools to produce a high-quality workforce. This alarmist view is not limited to Crook. It has been echoed by Bill Gates and philanthropist Eli Broad, and by a host of organizations, such as the Business Roundtable.
OPEN FORUM
Should job creation favor men? 05.19.09
Now is the time for right-to-repair law 05.18.09
Open forum: Journalism students lead way 05.16.09
More Open Forum »
It's easy to understand why people take at face value what reformers with impressive credentials say about education. They can be intimidating. But that's no excuse. As a wag quipped: In God we trust, all others bring evidence.
So let's look at the evidence.
In October 2007, B. Lindsay Lowell of Georgetown University and Hal Salzman of the Urban Institute concluded that the United States has a problem on the demand side of the equation - not on the supply side. This crucial distinction is lost in the heated debate, resulting in widespread misunderstanding.
"The article describes my experience tutoring my daughter and her friend when they were in sixth grade, using Singapore Math in order to make up for the train wreck known as Everyday Math that she was getting in school. I doubt that the article will change the minds of the administrators who believe Everyday Math has merit, but it wasn't written for that purpose. It was written for and dedicated to parents to let them know they are not alone, that they aren't the only ones who have shouted at their children, that there are others who have experienced the tears and the confusion and the frustration. Lastly it offers some hope and guidance in how to go about teaching their kids what they are not learning at school."
ae Jemison is an astronaut, a doctor, an art collector, a dancer ... Telling stories from her own education and from her time in space, she calls on educators to teach both the arts and sciences, both intuition and logic, as one -- to create bold thinker.
Third Grade Mathematics in Hong Kong and Massachusetts Why Massachusetts Students, the Best in the U.S., Lag Behind
Best-in-the-World Students of Hong Kong
Higher expectations for achievement and greater exposure to more difficult and complex mathematics are among the major difference between Hong Kong, home of the world’s top-performing 4th grade math students, and Massachusetts, which is the highest scoring state on the U.S. National Assessment of Education Progress (NAEP), according to a report by the American Institutes for Research (AIR).
While Massachusetts 4th grade students achieved a respectable fourth place when compared with countries taking the 2007 Grade 4 Trends in Mathematics and Science Study (TIMSS-4), Hong Kong students outperformed the Bay State 4th graders in numerous categories.
The Hong Kong performance advantage over Massachusetts was especially large in the percentage of its students achieving at the very highest level. For example, 40 percent of Hong Kong students achieved at the advanced TIMSS level, compared with only 22 percent of Massachusetts students.
To help understand why Hong Kong students outperform Massachusetts students, the AIR study identified differences between the items on Hong Kong’s and Massachusetts’ internal mathematics assessments administered in the spring of grade 3 in 2007 to gather insight into the relative mathematical expectations in Hong Kong and Massachusetts.
The AIR report found that the Hong Kong assessment contained more difficult items, especially in the core areas of numbers and measurement, than the Massachusetts assessment.
“The more rigorous problems on the Hong Kong assessment demonstrate that, even at Grade 3, deep conceptual understanding and the capacity to apply foundational mathematical concepts in multistep, real-world situations can be taught successfully,” said Steven Leinwand, Principal Research Analyst at AIR and co-author of the report.
Action Needed, Please Sign on.... Math Teacher Hiring in the Madison School District
via a kind reader's email: Janet Mertz and Gabi Meyer have written a letter about new math hires that they would like you to sign on to. Please send your name, your school(s), and any relevant identifying information or affiliation to:
To address as quickly as possible the MMSD's need for more middle school teachers with outstanding content knowledge of mathematics, we, the undersigned, urge you to consider filling any vacancies that occur in the District's middle schools for the coming academic year with applicants who majored in the mathematical sciences or related fields (e.g., statistics, computer science, physics) in college, but may be currently deficient in teaching pedagogy. You might advertise nationally in appropriate places that applications from such candidates would be welcome. In recent years, many outstanding graduates with such backgrounds went into the computing, consulting, and financial industries. However, in the current economic climate, such jobs are much less available, especially to new college graduates. Thus, jobs in the teaching profession may be viewed much more favorably now by folks trained in the mathematical sciences despite the significantly lower salary. One indication of this is the fact that applications to Teach for America were up 42% this year. Teach for America had to reject over 30,000 applicants this spring, including hundreds of graduates from UW-Madison, due to the limited numbers they can train and place. Undoubtedly, some of these applicants were math majors who would be happy to live in Madison. Math for America, a similar program that only accepts people who majored in the mathematical sciences, likely also had to turn away large numbers of outstanding applicants. Possibly, the MMSD could contact Teach for America and Math for America inquiring whether there might be a mechanism by which your advertisement for middle school math teachers could be forwarded to some of the best of their rejects. As these programs do, the MMSD could provide these new hires with a crash course in teaching pedagogy over the summer before they commence work in the fall. They could be hired conditionally subject to completing all of the requirements for state teacher certification within 2 years and a commitment to teach in the MMSD for at least 3-5 years.
While the District's proposal to provide additional content knowledge to dozens of its current middle school teachers of mathematics might gradually improve the delivery of mathematics to the District's students, it would take numerous years to implement, involve considerable additional expense, and may still not totally solve the long-term need for math-qualified teachers, especially in view of the continuing wave of retirements. The coincidence of baby boomer retirements with the current severe economic recession provides a rare opportunity to fill our middle schools now with outstanding mathematics teachers for decades to come, doing so at much lower cost to the District since one would be hiring new, B.A.-level teachers rather than retraining experienced, M.A.-level ones. Thus, we urge you to act on this proposal within the next few weeks, in possible.
It is interesting to note that state law provides that "A school board that employs a person who holds a professional teaching permit shall ensure that no regularly licensed teacher is removed from his or her position as a result of the employment of persons holding permits."
China's boxed itself in Its emphasis on math and science has certainly fueled its rapid economic growth, but its lack of creative thinking could rob it of an innovative edge.
Which country -- the United States or China -- will make the 21st century its own?
When President Obama recently called for American young people "to be makers of things" and focus on subjects such as science and engineering, it was partly a nod to China's rapid growth. Had he lived, taught and consulted in China for the last 33 months, as I have, he might have urged American students first to follow his example and study the liberal arts. Only technical knowledge complemented by well-honed critical and creative thinking skills can help us regain our innovative edge. China's traditional lack of emphasis on teaching these skills could undermine its efforts to develop its own innovative economy.
I once challenged my Chinese MBA students to brainstorm "two-hour business plans." I divided them into six groups, gave them detailed instructions and an example: a restaurant chain. The more original their idea, the better, I stressed -- and we'd vote for a prize winner. The word "prize" energized the room. Laptops flew open. Fingers pounded. Voices roared. Packs of cookies were ripped open and shared. Not a single person text-messaged. I'd touched a nerve.
In the end, five of the six groups presented plans for, you guessed it, restaurant chains. The sixth proposed a catering service. Why risk a unique solution when the instructor has let it slip he likes the food business?
If there was any doubt that education analyst Gerald W. Bracey doesn't play favorites, that's gone now. After excoriating the Bush administration and its education officials for eight years, after canvassing his neighborhood, donating his own money and voting for Barack Obama for president, Bracey is giving the new president just what he gave the old one -- unrelenting grief.
In a speech to the American Educational Research Association in San Diego last month on "countering the fearmongers about American public schools," Bracey added to his list of non-truthtellers President Obama and Education Secretary Arne Duncan. "Obama and Duncan seem to be following the long-established line that you can get away with saying just about anything you choose about public schools and no one will call you on it," Bracey said. "People will believe anything you say about public education as long as it's bad."
Bracey and I disagree on many issues, but I have long been one of his most appreciative readers, dating back to the days when I knew him only as a sharp-witted writer whose pieces occasionally appeared in The Washington Post's Outlook section. When I came back to Washington to cover local schools, I introduced myself to Bracey, who was then living in Northern Virginia, and wrote a piece about him and his long battle to persuade policymakers, political candidates and journalists to stop exaggerating our educational problems to win themselves appropriations, votes and attention. He lost at least one job because of his writing. Instead of using his doctorate in educational psychology to get a cushy university or think tank job, he has devoted his life to setting us straight, in his less financially secure role as freelance writer, author and speaker.
The most recent research from the U.S. Department of Education shows that American 15-year-olds are behind their International counterparts when it comes to problem solving and math literacy.
The report showed the U.S. ranks 24th out of 29 nations.
But a math program, gaining in popularity, is trying to change that.
The program is called Everyday Math.
Lori Rusch is a fourth grade teacher at Middleton's Elm Lawn Elementary. This year she teaches an advanced math class.
On Monday, students in Rusch's class were mastering fractions and percentages.
But her students began learning fractions and percentages in first grade.
"We've been incredibly successful with it," said Middleton's curriculum director George Marvoulis. "Our students on all of our comparative assessments like WKCE, Explorer Plan, ACT, our students score higher in math than any other subject area so we've been very pleased."
According to Marvoulis, Middleton was one of the first school districts in the nation to use the Everyday Math program in 1994.
"The concept is kind of a toolbox of different tools they can use to solve a problem," explained Marvoulis.
You could see the pride in third-grader Kuron Anderson's eyes as he jumped from his tiny chair to talk about his technology project. He called it "The Many Faces of the Man," a digital photo mosaic that he created to celebrate the election of President Obama.
"I worked hard on it, and I did my best," Kuron said.
"This is the before picture," the 8-year-old said, pointing to the cutout on the cardboard display. "And if you step back, you will see his face on the computer. It is made up of cell images."
: Public schools across Wisconsin expect a critical shortage of math and science teachers in the next few years. Supply is not keeping up with demand.
That's why the Legislature should approve Senate Bill 175. This sensible proposal would lure more math and science professionals into classrooms by creating a shorter and less expensive route to a teaching license for anyone with a college degree.
SB 175 also could attract more black men into the teaching profession to serve as role models in urban schools -- a key selling point for Rep. Jason Fields, D-Milwaukee, who is part of a bipartisan group of sponsors.
The Boston Globe has been publishing for 137 years, and the news that it may have to fold has distressed its many readers. Each Fall, Winter and Spring the paper publishes a special section, of 14 pages or so, on notable local public high school athletes and their coaches. There is a mention of athletes and coaches at local prep schools as well.
The latest Boston Globe's Winter "ALL-SCHOLASTICS" section arrived, with the "ten moments that stood out among the countless athletic stories in Massachusetts." There are reports on the best athletes and coaches in Skiing, Boys' Basketball, Girls' Basketball, Boys' Hockey, Girls' Hockey, Boys' Track, Girls' Track, Boys' Swimming, Girls' Swimming, Preps, Wrestling, and Gymnastics. The Preps and Gymnastics parts consolidate boys' and girls' accomplishments, perhaps to save space (and cost).
Each full-page section also features photographs of 9-16 athletes, with perhaps a twitter-sized paragraph on their achievements. In addition, there are 30 photos and tweets about some coaches, spread among the various sports. There are 26 "Prep" athletes mentioned, from various sports, but I didn't see any "Prep" coaches profiled. For each high school sport there are two "athletes of the year" identified, and all the coaches are "coaches of the year" in their sport.
There may be, at this time, some high school "students of the year" in English, math, Chinese, physics, Latin, chemistry, European history, U.S. history, biology, and the like. There may also be high school "teachers of the year" in these and other academic subjects, but their names and descriptions are not to be found in The Boston Globe, perhaps the most well-known paper in the "Athens of America" (Boston).
It may be the case, indeed it probably is the case, that some of the athletes featured in the Winter "All-Scholastics" section today are also high school students of math, history, English, science, and languages, but you would not know that from the coverage of The Boston Globe. The coaches of the year may in many, if not all, cases, also be teachers of academic subjects in the Massachusetts public and private schools, but that remains only a guess as well.
When the British architect Christopher Wren was buried in 1723, part of his epitaph, written by his eldest son, Christopher Wren, Jr., read: "Lector, si monumentum requiris, Circumspice." If you wanted to judge his interest, efforts and accomplishments, all you had to do was look around you. His work was there for all to see.
The work of Massachusetts high school athletes and coaches is all around us in The Boston Globe on a regular basis, but the work of our high school scholars and teachers is nowhere to be seen in that public record.
If one seeks a monument to anti-academic and anti-intellectual views and practices in Boston today, one need look no further than The Boston Globe. I read it every day, and I will be sorry to see it fold, if it does, but I will not miss its attention to and recognition of the academic efforts and accomplishments of Massachusetts secondary students and their teachers, because there is none now, and never has been any, no matter how many reports on education reform and academic standards it may have published over the years. If you ask how much The Boston Globe editors (and I am sure The Globe is not alone in this) cares about the good academic work now actually being done by high school teachers and their students in Massachusetts, the answer is, from the evidence, that they do not.
WKCE Scores Document Decline in the Percentage of Madison's Advanced Students
For many years now, parents and community members, including members of Madison United for Academic Excellence, have expressed concerns about the decline in rigor and the lack of adequate challenge in our district's curriculum. The release this week of WKCE scores for the November 2008 testing led me to wonder about the performance of our district's strongest students. While most analyses of WKCE scores focus on the percentages of students scoring at the Advanced and Proficient levels, these numbers do not tell us about changes in the percent of students at each particular level of performance. We can have large increases in the percent of students scoring at the Proficient and Advanced levels because we have improved the performance of students who were previously at the Basic level on the WKCE, but yet fail to have any effect on the performance of our district's strongest students. This is the argument that we are improving the performance of our low ability students, but failing to increase the performance of our already successful students. An examination of the numbers of students who are performing at just the Advanced level on the WKCE provides us with some insight into the academic progress of our more successful students.
I decided to examine WKCE math scores for students across the district. While it is not possible to track the performance of individual students, it is possible to follow the performance of a cohort as they advance through the system. Thus students who are now in 10th grade, took the 8th grade WKCE in 2006 and the 4th grade test in 2002. Because there have been significant changes in the demographics of the district's students, I split the data by socio-economic status to remove the possibility of declines in WKCE performance simply being the result of increased numbers of low income students. Although the WKCE has been criticized for not being a rigorous enough assessment tool, the data on our students' math performance are not encouraging. The figures below indicate that the percent of students scoring at the Advanced level on the WKCE decreases as students progress through the system, and this decline is seen in both our low income students and in our Not Economically Disadvantaged students. The figures suggest that while there is some growth in the percent of Advanced performing students in elementary school, there is a significant decline in performance once students begin taking math in our middle schools and this decline continues through high school. I confess that I take no pleasure in sharing this data; in fact, it makes me sick.
Because it might be more useful to examine actual numbers, I have provided tables showing the data used in the figures above. Reading across a row shows the percent of students in a class cohort scoring at the Advanced level as they have taken the WKCE test as they progressed from grades 3 - 10.
Percent of Economically Disadvantaged Students Scoring at the Advanced Level on the WKCE Math Test Between 2002 and 2008
Graduation Year
3rd Grade
4th Grade
5th Grade
6th Grade
7th Grade
8th Grade
10th Grade
2005
8
2006
8.8
2007
11
7.7
2008
5.6
8.7
2009
8.5
6.7
2010
9.2
8.4
2011
12
12.5
11.1
8
2012
9.7
10.4
9.5
8.2
2013
15.3
14.7
15.1
11.7
10.8
2014
12
13.6
16.1
13.2
2015
20.1
15
18
11.7
2016
15.4
17.1
18.4
2017
12.9
17
2018
13.8
Percent of Not Economically Disadvantaged Students Scoring at the Advanced Level on the WKCE Math Test Between 2002 and 2008
Graduation Year
3rd Grade
4th Grade
5th Grade
6th Grade
7th Grade
8th Grade
10th Grade
2005
47
2006
41.6
2007
49
42.2
2008
33.8
51.5
2009
42
45.2
2010
47.7
45.1
2011
50
45.3
45
38.4
2012
43.4
50.7
53
45.7
2013
50.3
54.8
54.1
54.7
48.2
2014
49.6
56.7
60.9
53.5
2015
60
57.8
60.7
54.2
2016
55.6
56.3
62
2017
57.4
61.4
2018
55.6
While it could be argued that the declining percentage of low income students scoring in the advanced range on the WKCE are simply the result of a relatively stable number of Advanced ability students in this group becoming a smaller and smaller percentage as the overall numbers of economically disadvantaged students increases, an examination of actual numbers reveal an absolute decline in the number of low income students scoring at the Advanced level on the Math portion of the WKCE.
Numbers of Economically Disadvantaged Students Scoring Advanced on the Math WKCE Between 2002 and 2008
Graduation Year
3rd Grade
4th Grade
5th Grade
6th Grade
7th Grade
8th Grade
10th Grade
2005
42
2006
29
2007
57
32
2008
26
51
2009
43
40
2010
52
48
2011
64
73
64
52
2012
45
64
59
49
2013
74
87
89
71
69
2014
75
85
71
87
2015
126
96
113
87
2016
112
123
131
2017
86
121
2018
102
In the interest of thoroughness, I am providing enrollment numbers for the Not Economically Disadvantaged students in the MMSD over this period of time. Readers will see that the absolute numbers of Not Disadvantaged students have declined over the past seven years; this simply confirms what we already know (the increase in numbers from 8th to 10th grade reflect the influx of 9th grade students who have attended private schools for their K-8 education, e.g., Blessed Sacrament and Queen of Peace in the West attendance area).
Numbers of Not Economically Disadvantaged Students Enrolled Across Different Grade Levels in the Madison Schools and Taking the WKCE between 2002 and 2008
Graduation Year
3rd Grade
4th Grade
5th Grade
6th Grade
7th Grade
8th Grade
10th Grade
2005
1486
2006
1628
2007
1197
1451
2008
1259
1292
2009
1145
1218
2010
992
1188
2011
1026
1019
1054
1106
2012
1039
847
913
916
2013
1064
954
949
976
952
2014
936
974
939
883
2015
953
973
960
890
2016
894
881
847
2017
950
884
2018
913
Because the percent of students in this group scoring at the Advanced level has declined as well, there are two possible explanations for what has been happening. One explanation is that the district has had a relatively larger decline in enrollments of high ability students amongst this group of Not Disadvantaged students, what is often referred to as "Bright Flight". A more probably explanation is that the math curriculum, particularly in our middle schools and in 9th grade, does not adequately challenge our students and foster their intellectual growth regardless of their socio-economic background, and of course, it is possible that both of these factors are contributing to what we see here.
I should note that I have only examined the math data, and I don't know if the WKCE data for the other subject areas is as dismal. This would seem like an analysis that the District should be doing on a regular basis, but I encourage anyone who is interested to explore the performance of our students in reading or language arts. I also do not know the extent to which the Madison data merely reflects a similar decline in performance across the state. The members of the UW Math faculty that I have talked with in the past have expressed their concerns about the overall level of preparation from Wisconsin students, and our district's data may simply be a confirmation of the failure of currently popular constructionist approaches to adequately teach mathematical concepts. The statewide data is certainly worth exploring as well, and again I invited interested parties to visit the Department of Public Instruction WINNS website and download their own copy of the data.
I will say again that I find these data to be incredibly demoralizing, but perhaps we can take hope that our new superintendent and our School Board will use these data as a rallying point as they finalize a strategic plan and consider the recommendations of the Math Task Force. We have to find ways to raise the performance of all our district's students, and right now it appears we aren't meeting anyone's academic needs.
Chris Dyer's students want to know if, when he becomes rich and famous, he'll let them swim in his pool.
Dyer, an eighth-grade math teacher at Cherokee Middle School on Madison's west side, developed a board game while student teaching at the school that was picked up by an international educational products manufacturer and has now sold more than 2,000 copies.
The game, Angleside School Adventure, teaches kids how to measure angles. While learning to play the game in class one recent afternoon, student Oscar Hernandez, 14, wondered aloud whether Dyer is a millionaire yet. Dyer laughed and assured his students that, if he becomes a millionaire, he'll still be teaching them.
Many of Dyer's students say he is the best math teacher they've had.
"He's pretty good at explaining things to people who don't know," said 13-year-old Allison Ballard. "And for the people who do know, he just lets them go ahead."
Math 111 has been rumored throughout campus to be one of the most failed classes at Oregon State. Many students go into class with that expectation.
"I heard from everyone that I talked to about Math 111, that it was the number one failed class in the university, so I got in the mindset that I was going to fail, and I did," said Mark Stockhoff, a freshman in new media communications and business.
The issues relating to this rumor may be caused by the math placement test, poor math education before college, class size and student effort put into the class.
"We have a placement test, which we ask folks to take, and up until last year, only about 50 percent of entering freshmen placed into a college math course," said Math 111 instructor Peter Argyres.
To address the poor scores, the math department worked to create an online test that wasn't proctored to allow students to take the test in an easier environment and time frame, but the jump in scores was so significant that it was determined students had cheated on the math test.
Divided on whether to adopt a recommended new high school textbook program Wednesday, the Seattle Public Schools Board of Directors postponed voting on the issue until next month.
The reason? The attending directors, indicating how they planned to vote, split 3-3 on Wednesday. Director Cheryl Chow, who was absent while traveling, could be the tie-breaker at the board's May 6 meeting.
"This is one of the few times when we have the opportunity to change the direction when it comes to the school district's instruction," board President Michael DeBell said.
No official vote took place, but DeBell said he planned to vote against the math-adoption motion.
Up for approval was a policy that would overhaul the Seattle school district's math program by adopting new textbooks, standardizing its curriculum and renaming its classes. The Integrated Math 2 classes, for example, would become Advanced Algebra, said Anna-Maria de la Fuente, the district's K-12 mathematics program coordinator.
A Seattle Public Schools math committee, after about six months of investigation and debate, recommended a textbook program called Discovering Mathematics for all of the district's math classes, except for statistics.
Madison School Board Rejects Teaching & Learning Expansion; an Interesting Discussion
One of the most interesting things I've observed in my years of local school interaction is the extensive amount of pedagogical and content development that taxpayers fund within the Madison School District. I've always found this unusual, given the proximity of the University of Wisconsin, MATC and Edgewood College, among other, nearby Institutions of Higher Education.
Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
It seems the administration and our school board have re-defined "success" as merely producing "fewer failures." Astonishingly, excellence in student achievement is visited by some school district administrators with apathy at best, and with contempt at worst. But, while raising low achievers is a laudable goal, it is woefully short-sighted and, ironically, racist in the most insidious way. Somehow, limiting opportunities for excellence has become the definition of providing equity! Could there be a greater insult to the minority community?
The fact the Madison's Teaching & Learning Department did not get what they want tonight is significant, perhaps the first time this has ever happened with respect to Math. I appreciate and am proud of the Madison School Board's willingness to consider and discuss these important issues. Each Board member offered comments on this matter including: Lucy Mathiak, who pointed out that it would be far less expensive to simply take courses at the UW-Madison (about 1000 for three credits plus books) than spend $150K annually in Teaching & Learning. Marj Passman noted that the Math Task Force report emphasized content knowledge improvement and that is where the focus should be while Maya Cole noted that teacher participation is voluntary. Voluntary participation is a problem, as we've seen with the deployment of an online grading and scheduling system for teachers, students and parents.
Several years ago, the late Ted Widerski introduced himself at an event. He mentioned that he learned something every week from this site and the weekly eNewsletter. I was (and am) surprised at Ted's comments. I asked if the MMSD had an internal "Knowledge Network", like www.schoolinfosystem.org, but oriented around curriculum for teachers? "No".
It would seem that, given the tremendous local and online resources available today, Teaching & Learning's sole reason for existence should be to organize and communicate information and opportunities for our teaching staff via the web, email, sms, videoconference, blogs, newsletters and the like. There is certainly no need to spend money on curriculum creation.
The first question I have is in the first paragraph. "One aspect of the balanced approach is represented in the four block approach to structuring mathematics lessons. The four blocks include Problem Solving, Number Work, Fluency and Maintenance and Inspecting Equations." There is a missing comma, since it is not clear whether Maintenance goes with the previous word or the last two. However, in either case, "Inspecting Equations" is a strange phrase to use. I am not sure what it means, and when a mathematician who has read extensively in school mathematics does not understand a phrase, something is wrong. You might ask Brian Sniff, who seems to have written this report based on one comment he made at the Monday meeting, what he means by this.
In the next paragraph, there are the following statements about the math program used in MMSD. "The new edition [of Connected Math Project] includes a greater emphasis on practice problems similar to those in traditional middle and high school textbooks. The new edition still remains focused on problem-centered instruction that promotes deep conceptual understanding." First, I dislike inflated language. It usually is an illustration of a lack of knowledge. We cannot hope for "deep conceptual understanding", in school mathematics, and Connected Math falls far short of what we want students to learn and understand in many ways. There are many examples which could be given and a few are mentioned in a letter I sent to the chair of a committee which gave an award to two of the developers of Connected Mathematics Project. Much of my letter to Phil Daro is given below.
The final paragraph for Recommendation 11 deals with high school mathematics. When asked about the state standards, Brian Sniff remarked that they were being rewritten, but that the changes seem to be minimal. He is on the high school rewrite committee, and I hope he is incorrect about the changes since significant changes should be made. We now have a serious report from the National Mathematics Advisory Panel which was asked to report on algebra. In addition to comments on what is needed to prepare students for algebra, which should have an impact on both elementary and middle school mathematics, there is a good description of what algebra in high school should contain. Some of the books used in MMSD do not have the needed algebra. In addition, the National Council of Teachers of Mathematics has published Curriculum Focal Points for grades PK-8 which should be used for further details in these grades. Neither of these reports was mentioned in the response you were sent.
I have pointed out errors and omissions in Connected Mathematics and Discovering Advanced Algebra to Sniff, and suggested that teachers be informed about these problems and given suggestions for how to work around them. You might ask him what has been sent to teachers about rational numbers and repeating decimals in Connected Math and the geometric series in Discovering Advanced Algebra. I wrote the principal author of Connected Math about their treatment of repeating decimals in the first edition, in 2000 and 2002. Nothing was changed in the second version. It is still a very poor treatment. I will send separately a paper I gave at a meeting in Lisbon last November. It deals with the help teachers should be given, and how inadequate it frequently is.
The National Mathematics Advisory Panel recommended that the geometric series should be done in first year algebra, since it is not hard to derive the sum of a finite geometric series and it has many interesting applications. In Discovering Advanced Geometry, the sum of this series is stated but not derived. What understanding is this giving students?
There never has been a serious public discussion about the direction of mathematics education in the Madison Schools. There should be. There was a committee set up to report and the part which surprised me most was the survey of elementary school teachers, who reported that most of them did not use a textbook as a primary resource. Decades ago my daughter went through a year at Cherokee with a teacher developed program in math. It was a disaster. I wonder about the results mentioned in a Capital Times article on the charter school Nuestro Mundo. Here are the result on WKCE Third Grade tests.
Percentage scoring proficient or advanced in reading
Total
White
Hispanic
Nuestro Mundo
70
74
46
Madison School District
72
88
47
Percentage scoring proficient or advanced in math
Total
White
Hispanic
Nuestro Mundo
49
63
15
Madison School District
72
87
52
Both the reading and math tests were given in English. In every other study I have seen about schools like Nuestro Mundo, the math score relative to the district score is much closer than the reading score is to the district average. Does the math staff at MMSD have an explanation for this dramatic difference?
Here is most of my letter to Phil Daro mentioned above. If you have any questions about what I have written, please feel free to contact me. My phone number is 233-7900.
Richard Askey
Recently I read the announcement of the prizes awarded by ISDDE. The Connected Math award singled out two of their books. The 8th grade book, "Say It With Symbols", had the following written about it:
Say It With Symbols tackles the development of robust fluency in symbolic manipulation (always a high priority) by focusing on "making sense with symbols" at every stage. Work on interpreting symbolic expressions leads on to creating equivalent expressions and thus to sense-making solution of linear and quadratic equations, and to modeling.
Let us look at a little of this book. There is some work on factoring quadratics, but clearly not enough for students to become fluent with it. The quadratic formula is stated but not proven, nor is there a proof (much less a motivated one) in the Teacher's Guide. Completing the square is never mentioned. There are a couple of problems like the following: Page 51 in Second Edition. [I can give comments on the First Edition if that is what you used, but I am giving them a break and using the Second. It has been through even more use than the first, but still has a lot of flaws.]
44. You can write quadratic expressions in factored and expanded forms. Which form would you use for each of the following? Explain. c. To find the line of symmetry for a quadratic relationship Answer: The line of symmetry is a vertical line perpendicular to the x-axis through a point with an x-coordinate half way between the x-intercepts. The factored form can be used to find this point. How about the case when the factors are not real? y=x^2+2x+2. There is still a line of symmetry, but without complex numbers, which few will treat in eighth grade, factoring does not work. Of course one can make it work by subtracting a constant, but this is a book for students who are just learning algebra. Whenever the word "Explain" is used in a question, I look to see what the explanation is. There is no reason given for why half way between the intercepts gives the line of symmetry. A explanation can be given using either form, but the authors do not do this. I can give you many examples where the "Explain" answer in the Teacher's Guide is far from an explanation, and sometimes is wrong.
Part d asks how to find the coordinates of the maximum or minimum point for a quadratic relationship. Here completing the square is clearly the better method at this stage, if one is aiming for the very important goal of fluency in symbolic manipulation, but that is not their goal. They seemingly never make the vital step of changing variables in an expression. There were many places where this could have been introduced and then used to give mathematical closure at the level they deal with, but it is not there.
Let us skip to the end of this book. There is an introduction to tests for divisibility in problem 9 on page 77 and problem 10 on the same page for divisibility by 2 and 4. The answers in the Teacher's Guide are reasonable. Then in problem 41 the problem of divisibility by 3 is considered. The answer pulls out the idea of changing 100a + 10b + c to 99a + a + 9b + b + c and then writes this to get the usual criteria. What is missing is an explanation for why one does this. One looks for the closest numbers to 100 and to 10 which can be divided by 3, which mimics the argument in divisibility by 2 and 4. The teachers will not know this, nor know that this can be extended to divisibility by 11 by a similar argument, although unlike the case of 3 and 9, the step from 11 to 99 to 1001 is only easy for 11 and 99. Before seeing how this extends one cannot just divide 1001 by 11, but write 1001 as 990 + 11. This extends. This is what should be in the Teacher's Guide. One recommendation from the National Mathematics Advisory Panel is that instruction should not be either entirely "student-centered" or "teacher-directed". The problem should have been given with some explanation about how divisibility by 2, 4, and 5 works, and then after remarking that divisibility by 3 cannot come from just looking at the last digit, ask the students to figure out what the closest number to 10 is which is divisible by 3, and then the closest number to 100 which is divisible by 3, and to use this information to try to find a simple test for divisibility by 3.
Let us consider the last problem. Judy thinks she knows a quick way to square any number whose last digit is 5. (Example 25) Look at the digit to the left of 5. Multiply it by the number that is one greater than this number. (example 2*3=6) Write the product followed by 25. This is the square of the number. Try this squaring method on two other numbers that end in 5. Explain why this method works. [Explanation: Students may find it easiest to explain why this method works by forming an equation [sic] to represent the value of any number ending in five, such as (10x+5), where x can be any whole number. Then a student taking the square of this value they [sic] will get (10x+5)(10x+5)=100x^2+100x+25)=100. [The 100 is only part of what should be there. It should be 100x(x+1) + 25.] This equation represents Judy's method of finding the square. [The word "equation" is wrong. They mean "expression".]
If they are going to let x be any whole number, then Judy's method is wrong, since she said to look at the digit to the left of 5, and multiply it by the number that is one greater than this number. So 125^2 would be the same as 25^2, or with careless reading, the same as 2*13 with 25 appended. This is not symbolic fluency in the textbook.
The next to the last problem dealt with divisibility by 6, and the correct statement is given in the Teacher's Guide, but the argument pulls out heavy machinery in the form of the Fundamental Theorem of Algebra when it is not needed. However, the related problem of assuming that a number is divisible by 2 and by 4 (rather than 2 and 3) does not imply it is divisible by 8 is missing. That is a mistake since students at this age will often not see the difference.
I have yet to talk to a high school teacher who thought that students who have had Connected Mathematics Project are better at symbolic calculations than those they had had earlier before CMP was introduced. Some, but not all, say the students have better conceptual understanding. Thus I find it strange that fluency in symbolic skills is singled out as a strength of CMP. Have you read the books which were mentioned?
In other areas, such as geometry, CMP has few if any of the problems which are common in East Asian countries, to help students learn how to solve multistep problems, including quite a few nice problems where auxiliary lines need to be drawn. I have books from Nigeria which have better geometry problems than CMP does. You should know this if what I found on the web is correct, that you are helping develop a middle school program based on Japanese models. Instead of giving CMP an award, it would have been much better to have read the first edition carefully and made constructive suggestions about how to improve it. It needs a lot of improvement.
Madison School District Math Program: Proposal to Increase Teacher Training and Teaching & Learning Staff
Monday evening's Madison School Board meeting will discuss a proposal to increase math teacher training and add staff to the Teaching & Learning Department. 215K PDF.
Interestingly, the latest document includes these words:
MMSD Teaching & Learning Staff and local Institute of Higher Education (IHE) Faculty work collaboratively to design a two-year professional development program aimed at deepening the mathematical content knowledge of MMSD middle school mathematics...
It is unusual to not mention the University of Wisconsin School of Education in these documents.... The UW-Madison School of Education has had a significant role in many Madison School District curriculum initiatives.
Anne McCracken Ehlers's third-grade daughter was not doing well in accelerated fourth-grade math at Whetstone Elementary School in Gaithersburg. Becca was spending far too long on her assignments. She was confused. She was unhappy. Ehlers is a teacher herself, in the English department at Rockville High School. So she was polite when she asked for a change, but nothing happened.
Finally, the 8-year-old in the drama decided that enough was enough, prompting this e-mail from her teacher to Ehlers on the afternoon of Feb. 5: "I just wanted to let you know that math bunch was held today from 1:00-1:30. Rebecca chose not to come. I asked her several times to please join us and she refused saying that she would come next week. We went over rounding, estimating, and adding decimals. We also reviewed word problems that include fractions. Please encourage Rebecca to take part in these extra math sessions. Thank you very much for your support."
What do we know works to improve student achievement in K-12 STEM [science, technology, engineering, and mathematics] education?
A.D.: I'd say great teachers, who know the content.
How do we know that? A.D.: I think that's true in any subject area. If you get outstanding teachers, kids learn.
What's the evidence for that? A.D.: Lots of evidence points to the fact that great teachers have an impact.
What is it about effective teachers that makes a difference? A.D.: Lots of factors. It's not one. In this area, it sounds like common sense, but still, having teachers that truly know the content is critically important. You can't teach what you don't know. So that's a starting point. Beyond that, what do great teachers look like? They are passionate, they have high expectations--this is a calling, not a job. They go way beyond the call of duty to make sure that students are getting what they need. And they are really able to differentiate instruction, to work with kids who are struggling and those who are on track to becoming the next generation of chemists and physicists.
You mentioned content. But there are studies that have found what teachers majored in in college doesn't necessarily affect their ability to improve student achievement. A.D.: You're right. I'm not talking about what you major in. I'm saying that you can't teach physics if you don't know physics. You don't have to have majored in physics. Maybe you come out of industry, or out of some other place. I worry a lot about how many folks are teaching classes in which they are not experts in the content. To me, that's a big part of the problem. We don't have enough teachers today who are experts in math and science. This is not just high school, it's also fifth, sixth, seventh grade.
"From a very young age, when we would start working with addition and subtraction calculations ... when the standard kids were working with two digits, I was working with three or four digits ...
"I got some pleasure from that," the professor said.
Professor Nash is in Hong Kong for a week-long speaking tour. Yesterday's talk, organised by the university and the Hong Kong Federation of Youth Groups, was designed to give students an opportunity to pose questions.
n the 1990s, the Math Wars pitted two philosophies against each other. One side argued for content-based standards - that elementary school students must memorize multiplication tables by third grade. The other side argued for students to discover math, unfettered by "drill and kill" exercises.
When the new 1994 California Learning Assessment Test trained test graders to award a higher score to a child with a wrong answer (but good essay) than to a student who successfully solved a math problem, but without a cute explanation, the battle was on. New-new math was quickly dubbed "fuzzy crap." By the end of the decade, repentant educators passed solid math standards.
Yet the Math Wars continue in California, as well as in New Jersey, Oregon and elsewhere. In Palo Alto, parent and former Bush education official Ze'ev Wurman is one of a group of parents who oppose the Palo Alto Unified School District Board's April 14 vote to use "Everyday Mathematics" in grades K-5. Wurman recognizes that the "fuzzies" aren't as fuzzy as they used to be, but also believes that state educators who approve math texts "fell asleep at the switch" when they approved the "Everyday" series in 2007.
The "Everyday" approach supports "spiraling" what students learn over as long as two or more years. As an Everyday teacher guide explained, "If we can, as a matter of principle and practice, avoid anxiety about children 'getting' something the first time around, then children will be more relaxed and pick up part or all of what they need. They may not initially remember it, but with appropriate reminders, they will very likely recall, recognize, and get a better grip on the skill or concept when it comes around again in a new format or application-as it will!" Those are my italics - to highlight the "fuzzies' " performance anxiety.
A trio of words -- one that's slang for pizza, another defined as a body's vital life force and a third referring to a snoring sound -- have conspired to change the game of Scrabble.
"Za," "qi" and "zzz" were added recently to the game's official word list for its original English-language edition. Because Z's and Q's each have the game's highest point value of 10, those monosyllabic words can rack up big scores for relatively little effort. So now that those high-scoring letters are more versatile, some Scrabble aficionados would like to see the rules changed -- which would be the only change since Alfred Butts popularized the game in 1948.
For non Scrabble-rousers, there are analogs for the proposed re-evaluations in other leisure pursuits. Some notable mispriced assets: Vermont Avenue in Monopoly, three-point field goals in basketball and football and overtime losses in hockey. Yet traditionalists say rules should endure; it's up to players to exploit them.
In Scrabble, players form words on a 15-by-15-space board using 100 tiles -- two of them blanks that can stand in for any letter, and 98 tiles with letters and corresponding point values. Players draw seven tiles to start the game and refresh their set after each turn.
President Obama outlined his reform agenda yesterday for the nation's public schools in a speech before the US Hispanic Chamber of Commerce. He promoted extending the school day, adopting performance pay for teachers, and encouraging the proliferation of charter schools, to name a few.
But what did he say about math, you are wondering.
Here it is - the math report. Obama's speech mentioned math education explicitly four times:
1. He reminded the nation that economic development and academic achievement go hand in hand and that the federal government can play a significant role.
"Investments in math and science under President Eisenhower gave new opportunities to young scientists and engineers all across the country. It made possible somebody like a Sergei Brin to attend graduate school and found an upstart company called Google that would forever change our world," he said.
A few basic goals of high school mathematics will be looked at closely in the top programs chosen for high school by the state of Washington. Our concern will be with the mathematical development and coherence of the programs and not with issues of pedagogy.
Algebra: linear functions, equations, and inequalities
We examine the algebraic concepts and skills associated with linear functions because they are a critical foundation for the further study of algebra. We focus our evaluation of the programs on the following Washington standard: A1.4.B Write and graph an equation for a line given the slope and the y intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.
We also consider how well the programs meet the following important standard: A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.
Linear functions, equations, and inequalities in Holt
We review Chapter 5 of Holt Algebra 1 on linear functions.
The study of linear equations and their graphs in Chapter 5 begins with a flawed foundation. Because this is so common, it will not be emphasized, but teachers need to compensate for these problems.
Three foundational issues are not dealt with at all. First, it is not shown that the definition of slope works for a line in the plane. The definition, as given, produces a ratio for every pair of points on the line. It is true that for a line these are all the same ratios, but no attempt is made to show that. Second, no attempt is made to show that a line in the plane is the graph of a linear equation; it is just asserted.
Third, it not shown that the graph of a linear equation is a line; again, it is just asserted.
Prince William County elementary schools will continue to teach mathematics with a textbook series that has drawn parent criticism and national scrutiny, despite deep divisions in the community over whether students should be given other options.
The curriculum from Pearson Education, "Investigations in Number, Data, and Space," which is used in thousands of classrooms nationwide, has been debated virtually since Prince William began using it three years ago under the administration of Superintendent Steven L. Walts. Critics say it fails to help students learn basic skills and facts.
But educators who have championed "Investigations" say it helps students develop a deeper conception of math fundamentals before they take on complicated topics. The debate shows no signs of going away.
Last week, the Prince William School Board split 4 to 4 on a proposal that would have allowed parents to choose between "Investigations" and a more traditional math curriculum. Opponents of the proposal, which failed Wednesday on the tie vote, said that it would have been cost prohibitive and that education would have suffered.
The former engineer has won a national honor for his energetic commitment in the classroom. Last year his young charges, who think he may be the best math teacher anywhere, aced the AP calculus test.
Sam Calavitta presides over what may be the noisiest, most spirited math class in the nation.
He greets each student personally, usually with a nickname ("Butterfly," "Batgirl" and "Champ" are a few) and a fist bump. Then he launches a raucous, quiz-show-style contest.
Boys and girls line up on opposite sides of the room, Calavitta shouts out complex equations from index cards, and the opposing sides clap and cheer with each correct answer.
"State the anti-derivative of the secant function," Calavitta yells.
"The natural log of the absolute value secant x plus tangent x plus c," answers a student correctly.
Achievement Effects of Four Early Elementary School Math Curricula Findings from First Graders in 39 Schools
Roberto Agodini, Barbara Harris, Sally Atkins-Burnett, Sheila Heaviside, Timothy Novak, Robert Murphy and Audrey Pendleton [693K PDF]:
Many U.S. children start school with weak math skills and there are differences between students from different socioeconomic backgrounds--those from poor families lag behind those from affluent ones (Rathburn and West 2004). These differences also grow over time, resulting in substantial differences in math achievement by the time students reach the fourth grade (Lee, Gregg, and Dion 2007).
The federal Title I program provides financial assistance to schools with a high number or percentage of poor children to help all students meet state academic standards. Under the No Child Left Behind Act (NCLB), Title I schools must make adequate yearly progress (AYP) in bringing their students to state-specific targets for proficiency in math and reading. The goal of this provision is to ensure that all students are proficient in math and reading by 2014.
The purpose of this large-scale, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making AYP. A small number of curricula dominate elementary math instruction (seven math curricula make up 91 percent of the curricula used by K-2 educators), and the curricula are based on different theories for developing student math skills (Education Market Research 2008). NCLB emphasizes the importance of adopting scientifically-based educational practices; however, there is little rigorous research evidence to support one theory or curriculum over another. This study will help to fill that knowledge gap. The study is sponsored by the Institute of Education Sciences (IES) in the U.S. Department of Education and is being conducted by Mathematica Policy Research, Inc. (MPR) and its subcontractor SRI International (SRI).
BASIS FOR THE CURRENT FINDINGS
This report presents results from the first cohort of 39 schools participating in the evaluation, with the goal of answering the following research question: What are the relative effects of different early elementary math curricula on student math achievement in disadvantaged schools? The report also examines whether curriculum effects differ for student subgroups in different instructional settings.
Curricula Included in the Study. A competitive process was used to select four curricula for the evaluation that represent many of the diverse approaches used to teach elementary school math in the United States:
Investigations in Number, Data, and Space (Investigations) published by Pearson Scott Foresman (Russell, Economopoulos, Mokros, Kliman, Wright, Clements, Goodrow, Murray, and Sarama 2006)
Math Expressions published by Houghton Mifflin Company (Fuson 2006a)
Scott Foresman-Addison Wesley Mathematics (SFAW) published by Pearson Scott Foresman (Charles, Crown, Fennel, Caldwell, Cavanagh, Chancellor, Ramirez, Ramos, Sammons, Schielack, Tate, Thompson, and Van de Walle 2005)
The process for selecting the curricula began with the study team inviting developers and publishers of early elementary school math curricula to submit a proposal to include their curricula in the evaluation. A panel of outside experts in math and math instruction then reviewed the submissions and recommended to IES curricula suitable for the study. The goal of the review process was to identify widely used curricula that draw on different instructional approaches and that hold promise for improving student math achievement.
We've grown so accustomed to Massachusetts' trailblazer stature in education that perhaps we were a little blasé over its decision to participate in the TIMSS, international assessments of 4th and 8th grade mathematics performance. Nor were we all that surprised to learn that the state's students performed relatively well compared to students from other nations.
Less blasé are we about Minnesota, which for years has demonstrated little more than smug satisfaction over its high standing among American states, but which decided to finally prove its mettle by competing against the world and doing fairly well (as is illustrated here).
HUMAN language is the subject of endless scientific investigation, but the gestures that accompany speech are a surprisingly neglected area. It is sometimes jokingly said that the way to render an Italian speechless is to tie his wrists together, but almost everyone moves their hands in meaningful ways when they talk. Susan Goldin-Meadow of the University of Chicago, however, studies gestures carefully--and not out of idle curiosity. Introspection suggests that gesturing not only helps people communicate but also helps them to think. She set out to test this, and specifically to find out whether gestures might be used as an aid to children's learning. It turns out, as she told the AAAS, that they can.
The experiment she conducted involved balancing equations. Presented with an equation of the form 2 + 3 + 4 = x + 4, written on a blackboard, a child is asked to calculate the value of x. In the equations Dr Goldin-Meadow always made the last number on the left the same as the last on the right; so x was the sum of the first two numbers. Commonly, however, children who are learning arithmetic will add all three of the numbers on the left to arrive at the value of x.
In her previous work Dr Goldin-Meadow had noted that children often use spontaneous gestures when explaining how they solve mathematical puzzles so, to see if these hand-movements actually help a child to think, or are merely descriptive, she divided a group of children into two and asked them to balance equations. One group was asked to gesture while doing so. A second was asked not to. Both groups were then given a lesson in how to solve problems of this sort.
Here are the problems from this past Sunday's Moscow Math Festival for Grade 6 [PDF] (1,275 participants) and Grade 7 [PDF] (888 participants), along with a few photos (the competition was held at Moscow State University, using three buildings).
Lack of understanding of the credit crunch is magnifying its damage
THE BBC's "Today" programme is the main current-affairs show on British radio. Last year it recruited a new presenter, Evan Davis, who is also an economist. An amusing pattern has since developed. Quizzed about the credit crunch, a politician delivers some carefully memorised remark about, say, quantitative easing. Then the guest experiences an audible moment of existential horror, as Mr Davis ungallantly presses him for details.
The tide has gone out and, with a very few exceptions, Britain is swimming naked: almost nobody appears to know what he is talking about. The havoc of the financial crisis has stretched and outstripped even most economists. The British political class is befogged. Ordinary people are overwhelmed. And just as the interaction between banking and economic woes is proving poisonous, so the interplay of public and political ignorance is damaging the country's prospects.
Start with the government, whose ministers are still oscillating between prophesying economic Armageddon and gamely predicting the best of all possible recoveries. Gordon Brown is learned in economic history--indeed, he is at his most animated and endearing when discussing it. But the prime minister's grip on the history he is living through is less masterful. The government's implicit strategy is to try something and, when that does not work, try something else: the approach modestly outlined by Barack Obama, but rather less honest.
As the school year speeds by, rising seniors at Fairfax High are already meeting with their teachers and guidance counselors to decide which classes they should take next year. Up until this point, the math sequence is spelled out -- Algebra I, Geometry, Algebra II. After this point, there are plenty of options.
Here are the math classes students in a non-honors Algebra II class can choose from:
Trigonometry (Semester Course)
Probability and Statistics (Semester Course)
Discrete Math (Semester Course)
Pre Calculus with Trigonometry
AP Statistics
AP Computer Science
If they are not pursuing an advanced diploma, they can also choose to take no math class their senior year. That's an option a few students I talked to this week planned to take. Others were aiming for pre-calculus, which will put them on track to take Calculus in college. Others were talking about a combination of the semester-long courses.
HUMAN language is the subject of endless scientific investigation, but the gestures that accompany speech are a surprisingly neglected area. It is sometimes jokingly said that the way to render an Italian speechless is to tie his wrists together, but almost everyone moves their hands in meaningful ways when they talk. Susan Goldin-Meadow of the University of Chicago, however, studies gestures carefully--and not out of idle curiosity. Introspection suggests that gesturing not only helps people communicate but also helps them to think. She set out to test this, and specifically to find out whether gestures might be used as an aid to children's learning. It turns out, as she told the AAAS, that they can.
The experiment she conducted involved balancing equations. Presented with an equation of the form 2 + 3 + 4 = x + 4, written on a blackboard, a child is asked to calculate the value of x. In the equations Dr Goldin-Meadow always made the last number on the left the same as the last on the right; so x was the sum of the first two numbers. Commonly, however, children who are learning arithmetic will add all three of the numbers on the left to arrive at the value of x.
Compared with the students in the 1970s, today's accounting students are uneducated and unfit for a college education.
I have been teaching full time for over thirty years. If you toss in my apprenticeship teaching as a graduate student, I have taught for almost thirty-five years. During that span of time, one sees many, many students, and it amazes me how different they have been over time, and the inequality continues to grow. Compared with the students in the 1970s, today's students are uneducated and unfit for a college education.
Before proceeding, let me enunciate two premises. First, I do not think there is any significant difference between the two groups in terms of native, raw intelligence. Instead, the distinction between yesterday's and today's students when they first set foot on college campuses rests in their educational backgrounds, analytical thinking, quantitative skills, reading abilities, willingness to work, and their attitudes concerning the educational process. In short, they differ in terms of their readiness for college. Second, I am focusing on the average student who majors in accounting. Both groups arise from a distribution of students. The lower tail of yesteryear's population had some weak students, and the upper tail of the present-day population has some very strong students; however, when one focuses on the means of these two distributions, he or she finds a huge gap.
To begin, today's average accounting major cannot perform what used to be Algebra I and II in high school. Students cannot solve simultaneous equations. Students have difficulty with present value computations, not to mention formula derivations. Students even have difficulty employing the high-low method to derive a cost function, something that merely requires one to estimate a straight line from two points.
I would like to discuss in class the partial derivative of a present value formula to ascertain the impact of changes in interest rates, but that has become a fruitless enterprise. Even if students had a course in calculus, the exams probably had multiple choice questions so students guessed their way through the course, they don't remember what they learned, and whatever they learned was mechanical and superficial.
Charles J. Sykes, Wisconsin Interest, reprinted in Network News & Views 2/94, pp. 9-18
Joan Wittig is not an expert, nor is she an activist. She just didn't understand why her children weren't learning to write, spell, or read very well. She didn't understand why they kept coming home with sloppy papers filled with spelling mistakes and bad grammar and why teachers never corrected them or demanded better work. Nor could she fathom why her child's fourth-grade teacher would write, "I love your story, especially the spelling," on a story jammed with misspelled words. (It began: "Once a pona time I visited a tropical rian forist.")
While Wittig did not have a degree in education, she did have some college-level credits in education and a "background of training others to perform accurately and competently in my numerous job positions, beginning in my high school years." That experience was enough for her to sense something was wrong. She was not easily brushed off by assurances that her children were being taught "whole language skills." For two years, she agonized before transferring her children from New Berlin's public schools to private schools.
After only a semester at the private schools, her children were writing and reading at a markedly higher level. Their papers were neatly written, grammatical, and their spelling was systematically corrected.
Earlier this year, she decided to take her story to her local school board.
Armed with copies of her children's work (before and after their transfer to private schools), she questioned the district's allegiance to "whole language"--a teaching philosophy, Wittig said, where children are "encouraged to write and spell any way they want and the teacher does not correct the spelling so that the child's creativity is not stifled."
"Is this to be considered teaching?" she asked. "Is effective learning taking place?"
She also wondered about the schools' emphasis on "cooperative learning," in which children learn in groups. "I sent my child to school to be taught by a teacher," she said, "not by another student."
A local newspaper story recounted the reaction to Wittig's presentation: "Superintendent James Benfield said such criticism could make school employees feel they are doing something wrong. 'We should not have employees criticized until we change the guidelines,' he said, adding that he would be willing to consider a change."
Change is unlikely. If Wittig left the skirmish puzzled, she is not alone.
A growing number of school districts seem eager to embrace the very techniques Joan Wittig was challenging. And what she saw as the dumbing down of her children's schools is being hailed by state commissions, educational experts, and a growing number of school boards as the latest in educational "reforms."
Many of those "reforms" are being instituted under the rubric of outcome based education (OBE), a term fraught with controversy, ambiguity, and misunderstanding.
The source of the confusion is readily understandable. Different people mean different things when they talk about outcome based education. Adding to the confusion, some districts apparently have adopted OBE techniques, but deny having done so when parents and/or reporters make inquiries.
Lost in the fog of jargon that surrounds OBE are radical differences over the role of schools in society. School administrators who are understandably reluctant to venture into such treacherous waters often downplay, deny, or evade the philosophical underpinnings of the reforms they advocate.
One thing, however, is clear. Outcome based education programs are spreading rapidly at both the state and local level, driven in large measure by efforts to establish national and state "goals" for improving education. That process is likely to accelerate with the Clinton administration's decision to require states to adopt federally approved "goals" as a condition of receiving school aid. Those federal guidelines could very well look a good deal like the "outcomes" advocated by architects of OBE.
This will intensify the level of political controversy over OBE.
But the politics of OBE are anything but simple. OBE programs are bitterly opposed by some conservative parent groups, but have been widely embraced by moderate and conservative business leaders, including those who served on Governor Tommy G. Thompson's Commission on Schools for the 21st Century (known as the Fish Commission after its chairman, Ody Fish). On the other hand, OBE is championed by the education establishment (and is de rigueur at schools of education), but it is opposed by one of the nation's largest teachers' unions, the American Federation of Teachers.
Much of the confusion over OBE centers on the notion of "outcomes."
Ironically, "outcomes" were first raised to prominence by leaders of the conservative educational reform movement of the 1980s. Championed by Chester E. Finn, Jr., among others, such reformers argued that the obsession with inputs (dollars spent, books bought, staff hired) focused on the wrong end of the educational pipeline. They insisted that schools could be made more effective and accountable by shifting emphasis to outcomes (what children actually learned). Finn's emphasis on outcomes was designed explicitly to make schools more accountable by creating specific and verifiable educational objectives in subjects like math, science, history, geography, and English. In retrospect, the intellectual debate over accountability was won by conservatives. Indeed, conservatives were so successful in advancing their case that the term "outcomes" has become a virtually irresistible sales tool for educational reform.
The irony is that, in practice, the educational philosophies collectively known as outcome based education have little, if anything, in common with these original goals. To the contrary, OBE, with its hostility to competition, traditional measures of progress, and academic disciplines in general, can more accurately be described as part of a counter-reformation, a reaction to those attempts to make schools more accountable and effective. The OBE being sold to schools across Wisconsin represents, in effect, a semantic hijacking.
"The conservative education reform of the 1980s wanted to focus on outcomes (i.e. knowledge gained) instead of inputs (i.e. dollars spent)," notes former Education Secretary William Bennett. "The aim was to ensure greater accountability. What the education establishment has done is to appropriate the term but change the intent."
In other words, educationists have adopted the language of accountability to help them avoid being accountable.
Central to this semantic hijacking is OBE's shift of outcomes from cognitive knowledge to goals centering on values, beliefs, attitudes, and feelings. As an example of a rigorous cognitive outcome (the sort the original reformers had in mind), Bennett cites the Advanced Placement Examinations, which give students credit for courses based on their knowledge and proficiency in a subject area, rather than on their accumulated "seat-time" in a classroom.
In contrast, OBE programs are less interested in whether students know the origins of the Civil War or the author of the Tempest than whether students have met such outcomes as "establishing priorities to balance multiple life roles" (a goal in Pennsylvania) or "positive self-concept" (a goal in Kentucky). Nothing that Joan Wittig found in her children's classrooms was inconsistent with OBE philosophies or practices.
Consider the differences in approaches to educational reforms:
Where the reformers like Finn cited "outcomes," they insisted on higher academic standards; OBE lowers them.
Where the original reformers aimed at accountability, OBE makes it difficult, if not impossible, to objectively measure and compare educational progress.
Instead of clearly stated, verifiable outcomes, OBE goals are often diffuse, fuzzy, and ill-defined, loaded with educationist jargon like "holistic learning," "whole-child development," and "interpersonal competencies."
Where the original reformers saw their goal as excellence, OBE is characterized by a radical egalitarianism that tends to penalize high-achieving students.
Where original reformers emphasized schools that worked, OBE is experimental. Its advocates are unable to point to a single district where it has been successful.
And finally, where the original reformers saw an emphasis on outcomes as a way to return to educational basics, OBE has become, in Bennett's words, "a Trojan Horse for social engineering, an elementary and secondary version of the kind of 'politically correct' thinking that has infected our colleges and universities."
But while much of Outcome Based Education is genuinely radical, in general, it does not represent anything really very new. Rather, it is a continuation of the decades-old drift in educational circles away from subject content towards technique; from teaching knowledge to emphasizing nebulous "mental skills."
It represents a continuation of the flight from academic rigor and accountability. Ultimately, OBE is less sinister than it is the embodiment of mediocrity as an educational goal.
The architects of OBE envision a world in which no one fails, or at least one in which no one fails in school. "For the most part," declares Albert Mammary, "we believe competition in the classroom is destructive." Mammary has been superintendent of New York's Johnson City Central School District, K-12, where he developed an "Outcomes-Driven Developmental Model" (ODDM), which he describes as the "nation's first comprehensive school improvement model."
The model is built on slogans along the line of "Success for all students" and "Excellence for All."
For Mammary, the first step to success begins with doing away with failure.
Outcome based schools "believe there should be no failure and that failure ought to be removed from our vocabulary and thoughts," he wrote in 1991. "Failure, or fear of failure, will cause students to give up."
Former students may recall that, to the contrary, the fear of failure was an inducement to try harder, a spur that caused papers to be written and formulas memorized. But Mammary sees the threat of failure only as a barrier to enthusiastic learning.
"When students don't have to worry about failure," he insists, "they will be more apt to want to learn."
Mammary apparently feels the same way about differentiation of any sort. He opposes curved grading, ability grouping, and tracking. Tests are also transformed. They are no longer trials of knowledge, but celebrations of success.
"Testing should be creative," he insists, "aligned to learning outcomes, and only given when the students will do well."
This is only the beginning of his redefinition of "success" and "excellence."
Outcome based schools, he declares, "believe excellence is for every child and not just a few." They achieve this not by dragging the top kids down, he writes, but by bringing expectations up for everyone. He does this, however, by insisting that everyone be a winner.
Mammary is explicit on this: "A no-cut philosophy is recommended. Everyone trying out for the football team should make it; every girl or boy that (sic) wants to be a cheerleader should make it; everyone who comes to the program for the gifted and talented should make it."
There is a dreamy, utopian quality about all of this. Wouldn't it be nice if everyone were a prom queen; if everybody who dreamed of being a quarterback could be one; if every aspiring pianist could star in a concert. The world, unfortunately, doesn't work that way.
But that is precisely the point. Dreams have such power to fix our imaginations precisely because everyone cannot achieve them. Boys aspire to be quarterbacks because of the level of accomplishment it represents. Not everyone can do it. If anyone could be quarterback, what is left to aspire to?
There is also a practical concern here. A football team that must play anyone who wishes to be quarterback will quickly become a team on which no one will want to play any position.
By abolishing failure (or at least the recognition and consequences of failure) and redefining excellence to mean whatever anyone wants it to mean, we deprive success of meaning. In the ideal OBE world, everyone would feel like a success, without necessarily having to do much of anything to justify their self-esteem.
If Mammary appears to be a dreamer, there are practical applications of his philosophy. The most obvious is the hostility of OBE to traditional grades as measurements of achievement.
The emphasis on abolishing grades and traditional tests is central to the philosophy of OBE advocates. "Grading lies at the core of how our current system operates," declares OBE guru William Spady, director of the High Success Program on Outcome-Based Education.
Spady, who has been influential in the establishment of OBE programs in Wisconsin, quotes conservative reformers such as Chester Finn in his writings, but he follows Mammary in calling for the leveling of distinctions based on ability, industry or achievement.
Grades are gatekeepers, separating good students from others. "This, in turn, reinforces the system of inter-student comparison and competition created by class ranks. Such a system, of course, gives a natural advantage to those with stronger academic backgrounds, higher aptitudes for given areas of learning, and more resources at home to support their learning."
His objection appears to be based less on educational grounds than on his suspicion of inequality of any sort. Grades favor the smart and the studious. Spady wants to make up for the unfairness of it all.
Grades are oppressive, Spady writes. "Grades label students, control their opportunities, limit their choices, shape their identities, and define their rewards for learning and behaving in given ways."
Grades pit students against one another, he complains, "implying that achievement and success are inherently comparative, competitive and relevant" (which, in fact, they are, both in school and life). Indeed, Spady sees the issue of grades in terms of class struggle. "The usual result: the rich get richer, the poor give up."
Not necessarily. Occasionally, the student who gets Ds will work to become a student who gets Cs, and the C student will strive to become an A student. The A student may work harder so that he does not become a C student.
But Spady sees no link between grades and motivation to succeed or improve oneself. Instead, he focuses on the potential damage that poor grades might inflict on "young people struggling to define their identity and self-worth." He assumes here that identity and self-worth are independent of achievement.
Like Mammary, Spady envisions a grading system with no failure, but also no bad grades at all. OBE, he explains, eliminates labeling and competitive grading and stresses "VALIDATING that a high level of performance is ultimately reached on those things that will directly impact on the student's success in the future. In other words, all we're really interested in is A-level performance, thank you, so we EXPECT it of all students, systematically teach for it, and validate it when it occurs."
The OBE buzzword for its approved evaluation system is "authentic assessment." Assessment is authentic, apparently, only when it becomes impossible to rank one student's performance ahead of another's.
In this new system, Spady suggests that teachers will be able to "throw away their pens at evaluation and reporting time and replace them with pencils that have large erasers." Although he does not expand on the point, the abolition of "permanent records" has obvious advantages for educationists as well as students. The eraser takes both off the hook at the same time.
One form of accountability especially detested by the educational establishment creates measurements by which academic achievement can be readily compared among schools and among districts. Evaluations that are constantly in flux obviously cannot be compared this way. At most, schools could report progress toward their educational "goals," which may be notoriously difficult to quantify. Those goals, however, will be a benchmark of sorts, and educationists can be expected to point to them as authentic measures of their success.
Indeed, success of some sort or another seems inevitable, since the goals often appear to be set to accommodate the lowest common denominator.
In its goal statement, Milwaukee's suburban Whitnall district declared, "By 1996-97, all students will demonstrate 100% proficiency in the District's performance outcomes."
Whitnall school board member Ted Mueller quotes one astute resident remarking, "If we require all students to be able to stuff a basketball to be able to graduate from high school, the only way you're going to be able to accomplish that is to lower the basketball hoop."
Because material must be taught and re-taught until every student has mastered it, teachers in the OBE classroom necessarily have to narrow their ambitions. OBE advocates describe this as teaching less, but better. Fewer areas of math are covered, but they are covered more intensely. Even so, it is hard to avoid the "Robin Hood effect," in which time and attention are shifted from high achieving students (who quickly master the material) to slower achieving students. This is, of course, exacerbated by OBE's insistence on eliminating tracking or ability grouping.
Robert Slavin, director of the elementary school program at Johns Hopkins University's Center for Research on Elementary and Middle Schools, notes that OBE (or "mastery learning") "poses a dilemma, a choice between content coverage and mastery."
"Because rapid coverage is likely to be of greatest benefit to high achievers, whereas high mastery is of greatest benefit to low achievers," he concludes, programs such as OBE may be taught at the expense of the quicker students.
"If some students take much longer than others to learn a particular objective, then one of two things must happen," Slavin writes. "Either corrective instruction must be given outside of regular classroom time, or students who achieve mastery early on will have to spend considerable amounts of time waiting for their classmates to catch up..." It is not even clear that such a system benefits slower learners. Slavin's research found that "it may often be the case that even for low achievers, spending the time to master each objective may be less productive than covering more objectives."
One of the most popular features of OBE is also one of the overt examples of the Robin Hood effect. In cooperative learning, students allegedly teach one another. In reality, it serves as a mechanism to keep students working at a uniform pace.
In her presentation to the New Berlin school board, Joan Wittig remarked on the bizarre consequences of such mandatory "cooperation."
"Lazy, poor students rely on the good students to do all the work," she told the board. "Good students are reinforced that they must do everything if it is to be done right."
Another critic is high school senior Marisa Meisters, who wrote to a local newspaper:
As a senior at Arrowhead [High School], I have seen the results of OBE firsthand. The bottom line is that it does not work. The main goal of OBE is to teach students how to work in groups. The students in each group who understand the concept are supposed to teach the others in the group. Instead of moving on to more challenging concepts, the faster students have to wait for the entire group to understand the concept before they move on. Another OBE goal is to allow students to master subjects by retaking any test until the student can pass. The result is that the students do not study. Why should they when they can keep retaking the test? Eventually the student is bound to guess right.
But the genuinely radical vision of OBE's architects is nothing so banal as "less taught but taught well." Theorists like William Spady envision an educational system "grounded on future-driven outcomes that will directly impact the lives of students in the future, not on lesson and unit and course objectives. This means that content details will have to give way to the larger cognitive, technical, and interpersonal competencies needed in our complex, changing world."
Exactly how "exit outcomes" will be divorced from "content details" is unclear. But it seems to mean that details of history (such as who won World War II) might be sacrificed in favor of material that will "directly impact" the lives of young people. Teaching "things," or specific knowledge, is thus downgraded in the service of what Spady vaguely describes as "larger...competencies." This appears to be educationese for saying that one does not need to know where England is as long as one has mastered "spatial" competencies; one need not know history as long as one has attained an interpersonally competent outcome.
Of course, Spady doesn't expect this to come all at once. He acknowledges that schools will have to muddle through for the time being with the existing curriculum content, or what is left of it. Spady envisions a three-part process of transformation.
In the first stage, existing subject areas (science, math, history, English) "are taken as givens and are used to frame and define outcomes." In its infancy, OBE will be content to define outcomes in terms of math abilities, knowledge of history, etc. These are the terms on which OBE is usually sold to parents and school boards. This is, however, only the beginning as far as Spady is concerned.
In the second stage, which Spady calls "Transitional OBE," educrats create "a vehicle for separating curriculum content from intended outcomes and for placing primacy on the latter."
In this stage, traditional curricular content is replaced by outcomes emphasizing Spady's "higher order competencies and orientations."
As if to emphasize how separate these competencies are from the traditional content of the curriculum, Spady stresses that "these broad competencies are almost always content neutral." Indeed, he goes so far as to declare that the "content simply becomes a vehicle through which [higher order competencies] are developed and demonstrated."
By Spady's third and final stage--called "Transformational OBE"--the divorce between course content and the "exit outcomes" is complete and irreversible. Traditional curricular content has faded away altogether. In Transformational OBE, Spady writes, "curriculum content is no longer the grounding and defining element of outcomes."
With content excluded, Spady turns up the flow of educationese to full-bore.
Now he writes, "outcomes are seen as culminating Exit role performances which include sometimes complex arrays of knowledge, competencies, and orientations and which require learning demonstrations in varying role contexts."
Naturally this "dramatically redefines the role of subject content in determining and constraining what outcomes can be." Actual knowledge--the ability to write a coherent letter, add a column of numbers, know the century in which the [U.S.] Civil War took place--should not be allowed to crimp the style of the higher order competencies.
Predictably (and also conveniently), these competencies cannot be measured by tests or other verifiable, comparative measures. Indeed, Spady describes the student of the future as a sort of performance art--a work in progress.
"The bottom line of Transformational OBE is that student learning is manifested through their ability to carry out performance roles in contexts that at least simulate life situations and challenges."
Unfortunately, graduates will not be called on merely to perform in simulations of life. They will face the real thing, a reality unlikely to conform itself to Spady's model.
Perhaps because of the transitional nature of OBE, fuzzy goals clogged with impenetrable jargon seem endemic to OBE.
Kentucky's state educational goals include such "valued outcomes" as: "Listening," which officials defined by saying "Students construct meaning from messages communicated in a variety of ways for a variety of purposes through listening."
This was distinguished from "Observing," which they defined by saying "Students construct meaning from messages communicated in a variety of ways for a variety of purposes through observing."
Other goals included: "Interpersonal Relationships," in which "Students observe, analyze, and interpret human behaviors to acquire a better understanding of self, others, and human relationships;" "Consumerism...Students demonstrate effective decision-making and evaluate consumer skills;" "Mental and Emotional Wellness...Students demonstrate positive strategies for achieving and maintaining mental and emotional wellness;" "Positive self-concept...Students demonstrate the ability to be adaptable and flexible through appropriate tasks or projects;" "Multicultural and World View...Students demonstrate an understanding of, appreciation of, and sensitivity to a multicultural and world view;" and "Ethical values...Students demonstrate the ability to make decisions based on ethical values."
Obvious questions remain unanswered here: Whose ethical values will be used to establish the acceptable outcomes? Will any size fit? How will they be measured? How will schools determine whether a student has met its goals for "Interpersonal Skills" or "Consistent, Responsive and Caring Behavior," or "Open Mind to Alternative Perspectives?"
And haven't the schools gotten themselves into a lot of areas that are, frankly, none of their business?
Academic areas are not neglected, but they often bear only a passing resemblance to traditional fields of study.
Geography is transformed into "Relationship of Geography to Human Activity," in which "Students recognize the geographic interaction between people and their surroundings in order to make decisions and take actions that reflect responsibility for the environment." (Note that this does not actually include knowing something so mundane as what countries border the United States.)
Similarly, the "aesthetic" goal in which "Students appreciate creativity and the value of the arts and humanities" could conceivably by achieved without students having read a classic work of literature or seen a masterpiece of art.
The emphasis on "skills" tends to conceal the basic flaw of such curriculums that are devoid of "facts." As E.D. Hirsch notes, "Yes, problem-solving skills are necessary, But they depend on a wealth of relevant knowledge." Such knowledge plays little, if any, role in what passes for outcome based education these days.
Criticism of OBE's abstract academic goals is not limited to conservatives. Albert Shanker, president of the American Federation of Teachers, has joined the chorus of OBE critics who question its academic priorities.
"OBE standards include academic outcomes," he notes, "but they are very few and so vague that they would be satisfied by almost any level of achievement, from top-notch to minimal; in other words, they are no improvement over what we have now."
Pennsylvania's writing outcome, for example, called for "All students [to] write for a variety of purposes including to narrate, inform, and persuade, in all subject areas." Remarked Shanker, "In an excellent school, this could mean a portfolio of short stories, several 1,000-word essays, and numerous shorter ones. In a poor school, it could mean three short paragraphs loaded with misspellings.
"Vaguely worded outcomes like this will not send a message to students, teachers and parents about what is required of youngsters. Nor will they help bridge the enormous gap between schools where students are expected to achieve...and schools where anything goes."
As Shanker noted, Pennsylvania was something of a trailblazer in the area of establishing "goals" for outcome based educational programs. Officials there were so enthusiastic that they embraced 51 separate "learning outcomes," of which the vast majority concerned values, feelings, or attitudes.
One "outcome" defined as a base goal in Pennsylvania was that "all students understand and appreciate their worth as unique and capable individuals and exhibit self-esteem." It did not describe how self-esteem would be exhibited or measured.
Other learning outcomes included: "All students develop interpersonal communication, decision making, coping, and evaluation skills and apply them to personal, family and community living." "All students relate in writing, speech or other media, the history and nature of various forms of prejudice to current problems facing communities and nations, including the United States."
Once again, it was not clear how the schools would keep tabs on environmental decisions made in students' private lives or how they would remediate environmentally incorrect behaviors.
The very number of "learning outcomes" is significant. As Shanker notes, the large number of outcomes "sounds demanding, but it's the opposite." That is because teachers are already spread thin and will therefore have to pick and choose among the dozens of mandated "outcomes." It is not hard to predict what sort of choices they will make. Remarks Shanker, "it's a lot easier to schmooze with kids about 'life roles' than to make sure they can do geometry theorems or read Macbeth. In an educational version of Gresham's law, the fluffy will drive out the solid and worthwhile."
Wisconsin, known for its good sense and immunity to the trendy and untested, has not escaped infection. OBE buzzwords have become commonplace in local district mission statements and planning documents. The City of Waukesha School District's Strategic Planning report, for instance, declares that "The process of learning is as important as the content being taught" and that "learning to cooperate is as important as learning to compete."
The movement towards outcome based education was given its greatest impetus, however, by a state commission charged with developing goals for the state's schools. The Governor's Commission on Schools for the 21st Century called for state law to be revised "to state the goals and expectations of Wisconsin pubic schools in language that is compatible with an outcome-based integration education model..." It also called on state officials to ensure "conformity with outcome-based educational objectives."
The Fish Commission embraced an "integrated education model curriculum framework" that says that "every student will give evidence of the knowledge, skills, and understanding in each of the following areas."
There followed a list of "outcomes" and "goals," including: "Leisure Time; Cultural interdependence; Interpersonal skills; Adaptability; Equity; Accepting People; Positive self-image; Application of values and ethics; Risk taking and experimentation; Family relationships; Environmental Stewardship; Positive work attitudes and habits; Racial, ethnic, cultural diversity histories of U.S.; Team Work; Human Growth and Development; Respect all occupations; Shared decision making; Health & wellness.
While the list did include history, geography, computer literacy, and communications among other more traditional subjects, it is still remarkable for its lack of focus and its extraordinarily wide net. The commission did not explain how it would ascertain, measure, or correct students' knowledge, skills, and understanding of family relationships, or why this should be considered a state-mandated educational goal.
In May 1993, I had the chance to moderate a debate on outcome based education. During the debate, I asked an official of Wisconsin's Department of Public Instruction (and a proponent of OBE), "Have there been specific, controlled studies conducted to measure the performance of low, medium, and high capability students in Outcome Based Education versus traditional teaching curriculums."
His answer: "Most of the outcome based programs that are in effect now have not been in effect for a long enough period of time for studies of the kind you're talking about to take place."
In other words: no.
The suspicions that OBE might be a stalking horse for politically correct social engineering are fueled by its penchant for setting "outcomes" that relate to social, cultural, and political issues. Comments by some of OBE's most prominent architects tend to contribute to the misgivings of critics. William Spady, who has been paid $2,500 to make presentations to at least one suburban Milwaukee district, has made it clear that his vision of the future of education is dominated by social, cultural, and ideological preoccupations.
At times, his agenda is overtly political.
In 1987, Spady outlined his own assumptions regarding the future which needed to be taken into account when fashioning "exit outcomes."
His first assumption stated, "Despite the historical trend toward intellectual enlightenment and cultural pluralism, there has been a major rise in religious and political orthodoxy, intolerance, and conservatism with which young people will have to deal."
The implication is that OBE could somehow serve as an antidote to this 'ominous' resurgence of conservative thought.
His remaining assumptions strike a similarly ideological note. He describes the "re-pluralizing of society," the "decline of the traditional nuclear family," and the "gap between 'have' and 'have not' children." He is alarmist about the future of the environment.
"Global climate and ecology," he wrote, "are already shifting in a dangerous direction."
This is not to suggest that all OBE programs have a hidden political agenda. But its authors do seem to have a far more expansive view of the role of schools than more traditional educators ever envisioned. Albert Mammary, for example, writes:
"We believe that if students don't get love at home, they should get it in schools. If they don't get caring at home, they should get it in schools. If they don't belong and aren't connected at home, they should get it in schools. If they don't get food and clothing at home, they should also get that in schools."
This would seem to suggest that schools not only become centers of social work and welfare, but also substitute families. Educators should not be surprised if this ambition is not greeted with enthusiasm from every corner of society.
Designers of OBE scoff at charges that the new curriculums involve social engineering, and they are right to the extent that many programs bear little resemblance to the grandiose visions set out by Messrs. Mammary and Spady.
But, given the vagueness of the jargon-laden "outcomes," it is difficult for parents to know in advance what their students will learn and equally hard to measure success after the fact.
Such confusion provides ample opportunity for abuse. Political agendas can infiltrate curriculums as certain ideas and attitudes become part of the mandated "outcomes," but this is not inevitable.
In most cases, the outcome is less likely to be indoctrination than a pervasive mediocrity. A recent National Geographic article describing the culture of Sweden quoted one ethnologist: "We're taught very early not to stand out from the crowd..." The Swedish word lagom refers to this sense of "appropriateness," or averageness, that dominates Swedish life. "Lagom is best," Swedes are quoted as saying. "To be average is good in Sweden. To be different is bad."
This could well be the slogan for Outcome Based Education.
In a world with no losers and no winners, the overall tone will be blandness and conformity, an outcome that would probably be met with considerable enthusiasm by the designers of Outcome Based Education. No one feels very good, but then no one's self-esteem suffers much either.
What's really wrong with OBE? Its product is likely to be unmotivated, uninspired children who feel good about themselves, but who are unprepared for failure, rejection, and disappointment--and equally unprepared for competition in the 1990s and beyond.
Some lawmakers want Utah to follow the lead of a tiny Asian country when it comes to teaching math.
A senate committee Friday morning approved a bill, SB 159, that would allow districts and charter schools to apply for grants to use the Singapore method to teach math. Singapore is one of the highest scoring countries on international math tests.
In Singapore, math students are encouraged to think visually and develop mental strategies to solve problems. They're discouraged from using paper to compute math problems.
"We seek to create a school system that will produce a significant percentage of the scientists and engineers needed by our country," said Sen. Howard Stephenson, R-Draper, who is sponsoring the bill.
SB 159 would offer competitive grants to districts that come up with plans for teaching Singapore math in kindergarten through sixth grade and some secondary school classes. The bill would also require districts to train teachers in Singapore math and offer grants to colleges and other groups to train mathematicians to be teachers.
"I believe this will raise the math abilities of everyone in the state," said Aaron Bertram, chairman of the University of Utah mathematics department.
Did you know that 365 -- the number of days in a year -- is equal to 10 times 10, plus 11 times 11, plus 12 times 12?
Or that the sum of any successive odd numbers always equals a square number -- as in 1 + 3 = 4 (2 squared), while 1 + 3 + 5 = 9 (3 squared), and 1 + 3 + 5 + 7 = 16 (4 squared)?
Those are just the start of a remarkable number of magical patterns, coincidences and constants in mathematics. No wonder philosophers and mathematicians have been arguing for centuries over whether math is a system that humans invented or a cosmic -- possibly divine -- order that we simply discovered. That's the fundamental question Mario Livio probes in his engrossing book Is God a Mathematician?
Livio, an astrophysicist at the Hubble Space Telescope Science Institute in Baltimore, explains the invention-vs.-discovery debate largely through the work and personalities of great figures in math history, from Pythagoras and Plato to Isaac Newton, Bertrand Russell and Albert Einstein. At times, Livio's theorems, proofs and conundrums may be challenging for readers who struggled through algebra, but he makes most of this material not only comprehensible but downright intriguing. Often, he gives a relatively complex explanation of a mathematical problem or insight, then follows it with a "simply put" distillation.
An extended section on knot theory is, well, pretty knotty. But it ultimately sheds light on the workings of the DNA double helix, and Livio illustrates the theory with a concrete example: Two teams taking different approaches to the notoriously difficult problem of how many knots could be formed with a specific number of crossings -- in this case, 16 or fewer -- came up with the same answer: 1,701,936.
The Madison School District Administration held a public input session on the recent Math Task Force report [3.9MB PDF] last evening at Memorial High School. Superintendent Dan Nerad opened and closed the meeting, which featured about 56 attendees, at least half of whom appeared to be district teachers and staff. Math Coordinator Brian Sniff ran the meeting.
Task force member and UW-Madison Professor Mitchell Nathan [Clusty Search] was in attendance along with Terry Millar, a UW-Madison Professor who has been very involved in the Madison School District's math programs for many years. (Former Madison Superintendent Art Rainwater recently joined the UW-Madison Center for Education Research, among other appointments). UW-Madison Math professor Steffen Lempp attended as did school board President Arlene Silveira and board members Ed Hughes and Beth Moss. Jill Jokela, the parent representative on the Math Task Force, was also present.
Nineteen years ago, Jennifer Courter set out on a career path that has since provided her with a steady stream of lucrative, low-stress jobs. Now, her occupation -- mathematician -- has landed at the top spot on a new study ranking the best and worst jobs in the U.S.
"It's a lot more than just some boring subject that everybody has to take in school," says Ms. Courter, a research mathematician at mental images Inc., a maker of 3D-visualization software in San Francisco. "It's the science of problem-solving."
The study, to be released Tuesday from CareerCast.com, a new job site, evaluates 200 professions to determine the best and worst according to five criteria inherent to every job: environment, income, employment outlook, physical demands and stress. (CareerCast.com is published by Adicio Inc., in which Wall Street Journal owner News Corp. holds a minority stake.)
The findings were compiled by Les Krantz, author of "Jobs Rated Almanac," and are based on data from the U.S. Bureau of Labor Statistics and the Census Bureau, as well as studies from trade associations and Mr. Krantz's own expertise.
According to the study, mathematicians fared best in part because they typically work in favorable conditions -- indoors and in places free of toxic fumes or noise -- unlike those toward the bottom of the list like sewage-plant operator, painter and bricklayer. They also aren't expected to do any heavy lifting, crawling or crouching -- attributes associated with occupations such as firefighter, auto mechanic and plumber.
The study also considers pay, which was determined by measuring each job's median income and growth potential. Mathematicians' annual income was pegged at $94,160, but Ms. Courter, 38, says her salary exceeds that amount.
Parents and citizens have another opportunity to provide input on this matter when Brian Sniff, Madison's Math Coordinator and Lisa Wachtel, Director of Madison's Teaching & Learning discuss the Math Report at a Cherokee Middle School PTO meeting on January 14, 2009 at 7:00p.m.
Among the recommendations from a task force that recently completed a one-year study:
• Switch to full-time math teachers for all students in grades five through eight.
• The math task force's executive summary and full report
• Substantially boost the training of math teachers.
• Seriously consider selecting a single textbook for each grade level or course in the district, rather than having a variety of textbooks used in schools across the district.
The task force was created in 2006 by the Madison School Board to independently review the district's math programs and seek ways to improve students' performance.
A judge on Friday blocked a plan to make California the first state in the nation to require algebra testing for all eighth-graders.
The ruling sidelines an ambitious mandate approved by the state Board of Education in July after Gov. Arnold Schwarzenegger recommended it over the concerns of California's school superintendent and education groups.
The board pushed through the effort in order for the state to meet federal testing requirements or face losing up to $4.1 million in funding. The mandate would have affected students in the 2011-12 school year.
But the California School Boards Association and the Association of California School Administrators sued in September to overturn the requirement. They questioned whether the state had the money, staff and training to comply with the state board's decision.
Three years of math, three years of science - start getting ready, all you sixth-graders in Milwaukee Public Schools.
A School Board committee voted 3-0 Monday night to increase the requirements for graduating from MPS from two years each of math and science to three, effective with the class of 2014-'15, members of which are currently sixth-graders.
In addition, students would need to complete a half-year's worth of either an online course, community service or a service-learning project.
The proposal will go to the full board tonight and is expected to be approved.
In the comments on TIMSS-07 math scores, one important aspect
has not been mentioned.
Grade 8
US
Minn.
Korea
Singapore
Number
510
537
583
597
Algebra
501
515
596
579
Geometry
480
505
587
578
Data and Chance
531
560
580
574
Korea and Singapore have balanced scores, the US and Minnesota do not. The first three areas are the core areas of mathematics on which otherthings are built. We have to improve on them.
U.S. fourth- and eighth-graders improved their math scores in a closely watched international test, but continued to lag well behind peers from top-performing Asian countries. U.S. students also failed to show measurable gains in science.
The U.S. and other governments on Tuesday released the results of the test, Trends in International Mathematics and Science Study, the world's largest assessment of international achievement. Some 425,000 students in almost 60 countries took the exam, administered every four years, starting in 1995.
Today we present readers an in-depth interview with Ira David Socol, author of "The Drool Room" and the web site "SpeEdChange." Our interest in talking with Ira centered upon three critical factors.
First, there is little doubt that Ira is passionate about education and the process of learning. More importantly, that passion is relentlessly focused on creating a learning process that is responsive to the needs of learners.
Second, to be frank, Ira shares some of our views on how best to reform education. He notes that there are a multitude of ways to create positive learning opportunities for students but our current school structures prevent the flexibility necessary to provide alternate paths. Like OpenEducation.net, he is also a strong proponent of the use of technology yet does not buy into the "digital natives" nonsense.
Informational and Community Discussion Sessions on the Madison Mathematics Task Force
Date: January 6th, 2009
Time: 6:00 - 8:00 pm
Where: LaFollette High School - LMC
Date: January 7th, 2009
Time: 6:00 - 8:00 pm
Where: Memorial High School - Wisconsin Neighborhood Center
You are cordially invited to attend an information session and discussion about the findings and recommendations of the Math Task Force which recently completed a review of the MMSD K-12 Mathematics program. Please also share this information with others who may be interested in attending.
At each session, there will be a brief informational presentation followed by an opportunity for discussion. The Executive Summary and complete Task Force Report can be found at http://www.madison.k12.wi.us/boe/math/.
We are looking forward to sharing this information with you and learning about your reactions to the research and recommendations included in the report. Your thoughts are important to us as we work to improve the MMSD K-12 Mathematics program.
Questions/comments? Please contact Brian Sniff at bsniff@madison.k12.wi.us
Looking forward to seeing you on January 6th or 7th.
U.S. students are doing no better on an international science exam than they were in the mid-1990s, a performance plateau that leaves educators and policymakers worried about how schools are preparing students to compete in an increasingly global economy.
Results of the Trends in International Mathematics and Science Study (TIMSS), released yesterday, show how fourth- and eighth-graders in the United States measure up to peers around the world. U.S. students showed gains in math in both grades. But average science performance, although still stronger than in many countries, has stagnated since 1995.
Students in Singapore, Taiwan, Japan and Hong Kong outperformed U.S. fourth-graders in science. The U.S. students had an average score of 539 on a 1,000-point scale, higher than their peers in 25 countries.
Math Task Force Feedback Sessions Slated for January
Last year the MMSD School Board appointed a committee to look at the math curriculum in the district. The task force recently presented their findings to the School Board. We accepted their report and referred it to the Superintendent for recommendations. The next step in the process is a community input session.
Sessions were originally scheduled for December 8 and 9. Those sessions have been postponed until January in order to better publicize the sessions and avoid conflicts with holiday-season events. The dates have not yet been selected, and I will post the dates, places, and times when they have been confirmed.
If you want to comment directly on the math curriculum/task force recommendations, you can send e-mail comments@madison.k12.wi.us or post here. I'll make sure the Superintendent receives your feedback.
Malcolm Gladwell, Outliers
New York: Little, Brown, 2008, pp. 247-249
"Rice Paddies and Math Tests"
Every four years, an international group of educators administers a comprehensive mathematics and science test to elementary and junior high students around the world. It's the TIMSS...and the point of the TIMSS is to compare the educational achievement of one country with another's.
When students sit down to take the TIMSS exam, they also have to fill out a questionnaire. It asks them all kinds of questions, such as what their parents' level of education is, and what their views about math are, and what their friends are like. It's not a trivial exercise. It's about 120 questions long. In fact, it is so tedious and demanding that many students leave as many as ten or twenty questions blank.
Now, here's the interesting part. As it turns out, the average number of items answered on that questionnaire varies from country to country. It is possible, in fact, to rank all the participating countries according to how many items their students answer on the questionnaire. Now, what do you think happens if you compare the questionnaire rankings with the math rankings on the TIMSS? They are exactly the same. In other words, countries whose students are willing to concentrate and sit still long enough to focus on answering every single question in an endless questionnaire are the same countries whose students do the best job of solving math problems.
The person who discovered this fact is an educational researcher at the University of Pennsylvania named Erling Boe, and he stumbled across it by accident. "It came out of the blue," he says. Boe hasn't even been able to publish his findings in a scientific journal, because, he says, it's just a bit too weird. Remember, he's not saying that the ability to finish the questionnaire and the ability to excel on the math test are related. He's saying that they are the same: if you compare the two rankings, they are identical.
Think about this another way. Imagine that every year, there was a Math Olympics in some fabulous city in the world. And every country in the world sent its own team of one thousand eighth graders. Boe's point is that we could predict precisely the order in which every country would finish in the Math Olympics without asking a single math question. All we would have to do is give them some task measuring how hard they were willing to work. In fact, we wouldn't even have to give them a task. We should be able to predict which countries are best at math simply by looking at which national cultures place the highest emphasis on effort and hard work.
So, which places are at the top of both lists? The answer shouldn't surprise you: Singapore, South Korea, China (Taiwan), Hong Kong, and Japan. [Mainland China doesn't yet take part in the TIMSS study.] What those five have in common, of course, is that they are all cultures shaped by the tradition of wet-rice agriculture and meaningful work. They are the kind of places where, for hundreds of years, penniless peasants, slaving away in the rice paddies three thousand hours a year, said things to one another like "No one who can rise before dawn three hundred and sixty days a year fails to make his family rich."
Math can be hard enough, but imagine the difficulty when a teacher is just one chapter ahead of the students. It happens, and it happens more often to poor and minority students. Those children are about twice as likely to have math teachers who don't know their subject, according to a report by the Education Trust, a children's advocacy group.
Studies show the connection between teachers' knowledge and student achievement is particularly strong in math.
"Individual teachers matter a tremendous amount in how much students learn," said Ross Wiener, who oversees policy issues at the organization.
The report looked at teachers with neither an academic major nor certification in the subjects they teach.
Among the findings, which were based on Education Department data:
_In high-poverty schools, two in five math classes have teachers without a college major or certification in math.
_In schools with a greater share of African-American and Latino children, nearly one in three math classes is taught by such a teacher.
Math is important because it is considered a "gateway" course, one that leads to greater success in college and the workplace. Kids who finish Algebra II in high school are more likely to get bachelor's degrees. And people with bachelor's degrees earn substantially more than those with high school diplomas.
Three weeks after its launch, the program at La Follette is operating smoothly, according to officials and students at the school.
Joe Gothard, who is in his second year as La Follette principal, said he sought to bring the tutoring program to the school to involve the community in raising achievement levels.
"We're not going to settle for our students of color to be unsuccessful," Gothard said.
Over the past several years, the school's African American students have been less likely than their peers to complete algebra by 10th grade, although in some years the rate still exceeds the overall average for African American students in the Madison School District.
Gothard is troubled by the patterns on another measure of student achievement, the Wisconsin Knowledge and Concepts Examination, which show that the proportion of 10th graders demonstrating math proficiency ranks lower at La Follette than at any other major high school in Dane County. Just 53 percent of La Follette students received ratings of proficient or advanced on the test, compared to 65 percent in the district and 69 percent in the state.
"Initially there's that burning in your stomach," Gothard said, describing his reaction to such data, which was followed by a vow: "We are not going to accept going anywhere but up."
Kindergartners would be expected to be able to count to 100, not just to 30. Perimeter and area would be introduced and explored in third grade, instead of in second grade.
Those are among many proposed revisions to Virginia's math standards that are part of a national movement to strengthen and streamline math education to prepare all students to learn algebra and higher concepts.
The standards prescribe in detail concepts students are expected to learn in each grade, and the state verifies whether those expectations are met each year through the Standards of Learning tests. Now the standards are being revised for the second time since their introduction in 1995.
Community Input on Math Task Force Recommendations - SAVE THE DATES!
Hi - there will be 2 community input forums to gather input from the community on the recommendations of the Math Task Force. The report of the MTF can be found at:
Monday, December 8 from 6:00-8:00pm at Memorial High School
Tuesday, December 9 from 6:00-8:00pm at LaFollette High School
I am not sure of the format yet but know this is a busy time of year so wanted to give you an opportunity to mark your calendars if you plan on attending on of the forums. I'll send more information when available.
Years after graduation, he's hearing the ring of the school bell at Sherman Middle School on Madison's north side.
"I've had an effect on a number of the kids' math scores," said Schmidt, 44, whose background is in computer software design. "I know they're doing better because they tell me they're doing better."
He said that he isn't happy to take the credit, which is something that almost has to be pulled out of him. But the five students who he tutors weekly in math as part of the "Schools of Hope" tutoring program sing his praises when he's out of the room.
"Monty's awesome," said seventh-grader Henrietta Allison.
"They know that when he comes in on Monday, he's going to be asking, 'Did you do your homework? What are you missing?'" said teacher Chrissy Mitlyng. "They expect that, and I think that's a really good relationship to have."
Teachers report that students who work with the tutors are more confident after their sessions, and are more likely to speak up in class and participate in group work. While classroom confidence might be the most notable impact, it trickles down to fill the racial achievement gap the program was designed to help close, WISC-TV reported.
In 1995, 28.5 percent of black students in the Madison Metropolitan School District tested below the minimal standard on the third grade reading test, along with 9.7 percent of Latino students, 24.2 percent of Asian students and 4.1 percent of white students.
On November 7, Superintendent Art Rainwater made his annual report to the Board of Education on progress toward meeting the district's student achievement goal in reading. As he did last fall, the superintendent made some interesting claims about the district's success in closing the academic achievement gap "based on race".
According to Mr. Rainwater, the place to look for evidence of a closing achievement gap is the comparison of the percentage of African American third graders who score at the lowest level of performance on statewide tests and the percentage of other racial groups scoring at that level. He says that, after accounting for income differences, there is no gap associated with race at the lowest level of achievement in reading. He made the same claim last year, telling the Wisconsin State Journal on September 24, 2004, "for those kids for whom an ability to read would prevent them from being successful, we've reduced that percentage very substantially, and basically, for all practical purposes, closed the gap". Last Monday, he stated that the gap between percentages scoring at the lowest level "is the original gap" that the board set out to close.
Unfortunately, that is not the achievement gap that the board aimed to close.
......
What the superintendent is saying is that MMSD has closed the achievement gap associated with race now that roughly the same percentage of students in each subgroup score at the minimal level (limited achievement in reading, major misconceptions or gaps in knowledge and skills of reading). That's far from the original goal of the board. We committed to helping all students complete the 3rd grade able to read at or beyond grade level as demonstrated by all students in all subgroups scoring at proficient or advanced reading levels on the WRCT.
The New York Times recently reported on a study that found, once again, that the United States is failing to develop the math skills of its students, particularly girls, especially compared to other countries where math education is more highly valued.
Indian Math Online is a start-up that aims to take on that disparity by teaching math to American kids using techniques from Indian schools.
Bob Compton, an Indianapolis-based venture capitalist and entrepreneur who co-founded Indian Math Online, hatched the idea when he was producing Two Million Minutes, a documentary comparing high school education in India, China and the United States. He realized that Indian teenagers who were the same age as his daughters were three years ahead of them in math.
"If you don't get mathematics to the highest level you possibly can in high school, your career options shrink dramatically in the 21st century," Mr. Compton said. "Our society basically tells girls they're not good at math. I was determined that was not going to happen to my daughters."
Let me suggest that Gerald Bracey is not an appropriate person to quote when dealing with mathematics education. First, it was TIMSS in 1995 rather than 1999 when students in the last year of high school were tested. Second, while some of our students who took the advanced math test had only had precalculus, all of them had studied geometry and we did worse in geometry than we did in calculus. Bracey never mentions this. Check the figures yourself to see the disastrous results in geometry.
We had 14% of our students take this test so the fact that some other countries did not test students in vocational tracts is irrelevant since they have a much larger fraction of their students in academic programs than 14%, as we do. About the ETS restudy, while they claim that the original sample was not comparable with other countries, their population was also not comparable with that of other countries. When you take the top say 7% of our students, judged by the courses they take which is not a perfect match but
not bad, and compare them with the top say 20% of the students in another country, that is not the same as comparing them with the top 7% in another country. ETS never mentions this in their press releases on this study.
The inducements range from prepaid cellphones to MP3 players to gift certificates. But most of them are cash: $10 for New York City seventh-graders who complete a periodic test; $50 for Chicago high school freshmen who ace their courses; as much as $110 to Baltimore students for improved scores on the Maryland High School Assessments.
Desperate for ways to ratchet up test scores and close the achievement gap separating white and minority students, school officials from Tucson to Boston are paying kids who put up good numbers.
The District joined the list this fall, launching a one-year study of 3,300 middle schoolers who can earn up to $100 every two weeks for good grades, behavior and attendance. On Oct. 17, the first payday for the Capital Gains program, students collected an average of $43.
The efforts vary widely in scope and objective. But nearly all trigger pa
NARRATOR: You can find it in the rain forest, on the frontiers of medical research, in the movies, and it's all over the world of wireless communications. One of nature's biggest design secrets has finally been revealed.
GEOFFREY WEST (Santa Fe Institute): My god, of course. It's obvious.
NARRATOR: It's an odd-looking shape you may never have heard of, but it's everywhere around you: the jagged repeating form called a fractal.
JAMES BROWN (University of New Mexico): They're all over in biology. They're solutions that natural selection has come up with over and over and over again.
NARRATOR: Fractals are in our lungs, kidneys and blood vessels.
KEITH DEVLIN (Stanford University): Flowers, plants, weather systems, the rhythms of the heart, the very essences of life.
NARRATOR: But it took a maverick mathematician to figure out how they work.
BENOIT MANDELBROT (Yale University): I don't play with formulas, I play with pictures. And that is what I've been doing all my life.
Students in six major U.S. cities are performing on par or better in mathematics than their peers in other countries in grades 4 and 8, according to a new study by the American Institutes for Research (AIR). However, students from five other major cities are not faring as well, and overall, U.S. student performance in mathematics falls off from elementary to middle school grades -- and remains behind many industrialized nations, particularly Asian nations.
The AIR study offers the first comparison between students from large U.S. cities and their international peers. The study compares U.S. 4th grade students with their counterparts in 24 countries and 8th grade students with peers in 45 countries.
"Globalization is not something we can hold off or turn off...it is the economic equivalent of a force of nature... like the wind and water" (Bill Clinton)
If you are a student today competing for jobs in a global economy, the good jobs will not go to the best in your graduating class--the jobs will go to the best students in the world. Large urban cities are intimately connected to the nations of the world. Large corporations locate their businesses in U.S. cities; foreign students attend U.S. schools; and U.S. businesses export goods and services to foreign nations. Large urban cities need to know how their students stack up against peers in the nations with which the U.S. does business. This is especially important for students in the fields of science, technology, engineering, and mathematics. The students in these fields will allow our future generation to remain technologically innovative and economically competitive.
This report provides a comparison of the number of mathematically Proficient students in Grades 4 and 8 in 11 large cities in the United States with their international peers.
This comparison is made possible by statistically linking the National Assessment of Educational Progress (NAEP) in 2003 and the Trends in International Mathematics and Science Study (TIMSS) in 2003 when both assessments were conducted in the United States in the same year and in the same grades.
After the statistical linking was completed, it was possible to compare the most recent NAEP results (from 2007) to the most recent TIMSS results (from 2003). How the United States compares to the overall international average.
At Grade 4, five countries (Singapore, Hong Kong SAR, Chinese Taipei, Japan, and the Flemish portion of Belgium) performed significantly better than the United States (Figure 1). However, the United States (at 39% proficiency) performed better than the international average (27% proficiency) of all 24 countries (Figure 13).
At Grade 8, eight countries (Singapore, Hong Kong SAR, Republic of Korea, Chinese Taipei, Japan, Belgium (Flemish), Netherlands, and Hungary) performed significantly better than the United States (Figure 1). However, the United States (at 31% proficiency) performed better than the international average (21% proficiency) of all 44 countries (Figure 14).
....
Because of the persistent requests of urban school districts, the U .S . Congress authorized NAEP to assess, on a trial basis, six large urban school districts beginning in 2002 . Since then, more districts have been added, resulting in 11 school districts in 2007 (and plans are underway to include even more districts in the future) . The urban school chiefs in these 11 large school districts, which voluntarily participated in the 2007 NAEP, recognized the global nature of educational expectations and the importance of having reliable external data against which to judge the performance of their students and to hold themselves accountable . They should be commended for their visionary goal of trying to benchmark their local performance against tough national standards. National standards provide a broad context and an external compass with which to steer educational policy to benefit local systems . The purpose of this report is to further help those systems navigate by providing international benchmarks.
Even if the findings are less-than-stellar, he says, they should help local officials focus on improving results.
"In that sense, I think it could be a very positive thing to use in-house, in the district, to keep their nose to the grindstone," says Kepner, a former middle- and high-school math teacher in Iowa and Wisconsin."If they can show they're improving, they might be able to attract more companies to a system that's on the move."
Phillips says the findings prove that in other countries "it is possible to do well and learn considerably under a lot of varied circumstances -- in other words, being low-income is not really an excuse when you look around the rest of the world."
Schools that improve test scores do so at the expense of other subjects and ideas, he said.
"When the scores go up, it's not just meaningless. It's worrisome," Kohn told hundreds of educators on the last day of the convention. "What did you sacrifice from my child's education to raise scores on the test?"
Kohn, who's written 11 books on human behavior, parenting and schools, spent nearly two hours Friday morning ripping into both established and relatively new education concepts. He slammed merit pay for teachers, competition in schools, Advanced Placement classes, curriculum standards and testing--including Utah's standards and testing system -- drawing mixed reactions from his audience.
"Considering what we hear a lot, it was pure blasphemy," said Richard Heath, a teacher at Central Davis Junior High School in Layton.
Kohn called merit pay--forms of which many Utah school districts are implementing this year--an "odious" type of control imposed on teachers.
"If you jump through hoops, we'll give you a doggie biscuit in the form of money," Kohn said.
He said competition in schools destroys their sense of community. Advanced Placement classes, he claimed, focus more on material but don't do much to deepen students' understanding. He said standardized tests are designed so that some students must always fail or they're considered too easy, and often the students who do poorly are members of minority groups.
"We are creating in this country before our eyes, little by little, what could be described as educational ethnic cleansing," Kohn said. He called Utah's standards too specific and the number of tests given to Utah students "mind-boggling."
He called on teachers to explain such problems to parents and community members.
"The best teachers spend every day of their lives strategically avoiding or subverting the Utah curriculum," Kohn said.
Many teachers said they agreed with much of Kohn's talk, but disagreed on some points.
Shauna Cooney, a second grade teacher at Majestic Elementary School in Ogden, said it's important to have standards that give all children equal opportunities to learn certain concepts before they move forward.
Sidni Jones, an elementary teacher mentor in the Davis School District, agreed that current standardized tests are not as meaningful as other types of assessment, but she said it is hard to fight the current system.
"You can't just openly rebel against standardized testing because they're mandated," Jones said. "That's part of our jobs."
Rep. Kory Holdaway, R-Taylorsville, who is also a special education teacher at Taylorsville High School, said he walked out of the speech.
"We have got to have some degree of accountability for the public," Holdaway said. "The public demands it. Sometimes we forget who our customers are in terms of children and families."
Others, however, largely agreed with Kohn.
"It was awesome," said Claudia Butter, a teacher at the Open Classroom (good grief, are there still Open Classroom schools around??? Lord help us!) charter school in Salt Lake City. "With little steps we might be able to effect a change."
UEA President Kim Campbell said the UEA doesn't necessarily agree with everything Kohn advocates, but chose him as the keynote speaker because of his thought-provoking ideas.
"We want our members to constantly be challenging themselves and be thinking about new ideas and what they're doing in the classroom," Campbell said.
FRANCE may think of itself as a literary society, but real prestige is reserved for mathematics. Excellence in maths determines access to the elite, via ultra-selective grandes écoles such as the École Nationale d'Administration or the Polytechnique. More French mathematicians have won the Fields Medal, a top international prize, than those from any other European country. Top maths graduates working in French banks have pioneered some of the market's most complex equity derivatives. So there has been some head-scratching at the idea that Xavier Darcos, the education minister, is now considering an end to the pre-eminence of maths in the baccalauréat school-leaving exam.
Problems Without Figures For Fourth to Eighth Grade
A Math book for "High Schools and Normal Schools by S.Y. Gillan [9.6MB PDF]:
Arithmetic can be so taught as to make the pupil familiar with thc fact that we may use a number in a problem without knowing what particular number it is. Some of the fundamentals of algebra may thus be taught along with arithmetic. But, as a rule, whenever any attempt is made to do this the work soon develops or degenerates into formal algebra, with a full quota of symbolism, generalization and formulae -- matter which is not wholesome pabulum for a child's mind and the result has been that teachers have given up the effort and have returned to the use of standardized knowledge put up in separate packages like baled hay, one bale labeled "arithmetic," another "algebra," etc.
Every problem in arithmetic calls for two distinct and widely different kinds of work: first, the solution, which involves a comprehension of the conditions of the problem and their relation to one another; second, the operation. First we
decide what to do; this requires reasoning. Then we do the work; this is a merely mechanical process, and the more mechanical the better. A calculating machine, too stupid to make a mistake, will do the work more accurately than a
skillful accountant. Adding, subtracting, multiplying and dividing do not train the power to reason, but deciding in a given set of conditions which of these operations to use and why, is the feature of arithmetic which requires reasoning.
The problems offered here will furnish material to promote thinking; and a few minutes daily used in this kind of work will greatly strengthen the pupils' power to deal with the problems given in the textbook.
After consultation with teachers, the author decided to print the problems without regard to classification. They range all the way from very simple work suitable for beginners up to a standard adapted to the needs of eighth grade pupils. As a review in high school and normal school classes the problems may be taken in order as they come, and will be found Interesting and stimulating. For pupils in the grades, the teacher will Indicate which ones to omit; this discrimination will be a valuable exercise for the teacher.
A few "catch problems" are put in to entrap the unwary. To stumble occasionally into a pitfall makes a pupil more watchful of his steps and gives invigorating exercise in regaining his footing. The groove runner thus learns to use his wits and see the difference between a legitimate problem and an absurdity.
It is recommended that these exercises be used as sight work, the pupils having the book in hand and the teacher designating the problems to be solved without previous preparation.
S. Y. GILLAN.
Milwaukee, Wisconsin, May 21, 1910. Many thanks to Dick Askey for providing a copy (the!) of this book.
From the book:
To answer in good, concise English, affords an excellent drill in clear thinking and accurate expression. This one is suitable for high school, normal school and university students, some of whom will flounder in a most ludicrous fashion when they first attempt to give a clear-cut answer conforming to the demands of mathematics and good English.
224. After a certain battle the surgeon sawed off several wagon loads of legs. If you are told the number of legs in each load and the .price of a cork leg, how can you find the expense of supplying these men with artificial legs? Writeout a list of twenty other expense items incurred in the fighting of a battle.
225. The American people spend each year for war much more than for education. If you know the total amount spent for each purpose, how can you find the per capita expense for war and for schools?
227. A boy travels from Boston to Seattle in a week. Every day at noon he meets a mail train going east on which he mails a letter to his mother in Boston. If there is no delay, how frequently should she receive his letters?
"The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued."
The idea that the U.S. won't even properly develop the skills of young people who could perform at the highest intellectual levels is breathtaking -- breathtakingly stupid, that is.
The authors of the study, published in Notices of the American Mathematical Society, concluded that American culture does not value talent in math very highly. I suppose we're busy with other things, like text-messaging while jay-walking. The math thing is seen as something for Asians and nerds.
It would be hard to find a more advanced math class in public schools than the one Robert Sachs teaches at Thomas Jefferson High School for Science and Technology.
That's because it isn't really high school math.
Complex Variables is usually taught to college juniors and seniors. It is offered at selective Thomas Jefferson in Fairfax County because students demand the challenge.
"This class is pretty difficult," said Bobbie Pelham Webb, 17, a senior. "It is one of the first math classes that is challenging to me. Calculus was easy."
It's been nearly four years since Lawrence Summers, then president of Harvard University, made his controversial comments about the source of the gender gap in math and science careers. Still, the ripple effect continues - most recently in a study made public today on the world's top female math competitors.
The study, to be published in next month's Notices of the American Mathematical Society, identifies women of extraordinary math ability by sifting through the winners of the world's most elite math competitions. It found that small nations that nurtured female mathematicians often produced more top competitors than far larger and wealthier nations.
The message: Cultural or environmental factors, not intellect, are what really limit women's math achievements.
The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued.
The study suggests that while many girls have exceptional talent in math -- the talent to become top math researchers, scientists and engineers -- they are rarely identified in the United States. A major reason, according to the study, is that American culture does not highly value talent in math, and so discourages girls -- and boys, for that matter -- from excelling in the field. The study will be published Friday in Notices of the American Mathematical Society.
"We're living in a culture that is telling girls you can't do math -- that's telling everybody that only Asians and nerds do math," said the study's lead author, Janet E. Mertz, an oncology professor at the University of Wisconsin, whose son is a winner of what is viewed as the world's most-demanding math competitions. "Kids in high school, where social interactions are really important, think, 'If I'm not an Asian or a nerd, I'd better not be on the math team.' Kids are self selecting. For social reasons they're not even trying."
Many studies have examined and debated gender differences and math, but most rely on the results of the SAT and other standardized tests, Dr. Mertz and many mathematicians say. But those tests were never intended to measure the dazzling creativity, insight and reasoning skills required to solve math problems at the highest levels, Dr. Mertz and others say.
Dr. Mertz asserts that the new study is the first to examine data from the most difficult math competitions for young people, including the USA and International Mathematical Olympiads for high school students, and the Putnam Mathematical Competition for college undergraduates. For winners of these competitions, the Michael Phelpses and Kobe Bryants of math, getting an 800 on the math SAT is routine. The study found that many students from the United States in these competitions are immigrants or children of immigrants from countries where education in mathematics is prized and mathematical talent is thought to be widely distributed and able to be cultivated through hard work and persistence.
Professors are constantly asked if their students are better or worse today than in the past. I conducted an experiment to try to answer that question for one group of students.
For my fall 2006 course, Calculus I for the Biological and Social Sciences at Johns Hopkins University (JHU), I administered the same final exam I had used for the course in the fall of 1989. The SAT mathematics (SATM) scores of the two classes were nearly identical, and the classes contained approximately the same percentage of the Arts and Sciences freshman class.
The content of the calculus I course had not changed and, from a math standpoint, using the old exam was completely appropriate.
The average exam score for my 2006 calculus I class was significantly lower than for my 1989 class. Comparing the effects of scaling in the two years reveals the extent of the decline. In my 1989 class, 27 percent of students received As on the test and 23 percent Bs. When I graded my 2006 class on my 2006 scale, 32 percent received As and 37 percent Bs. But if I instead graded my 2006 class on the 1989 scale, only 6 percent would have received As and 21 percent Bs. If I graded the 1989 class on the 2006 scale, 52 percent would have received As and 26 percent Bs.
Why did my 2006 class perform so poorly? With the proliferation of AP calculus in high school, one might think that the good students of 2006 place out of calculus I more frequently than did their 1989 counterparts. However, in 1989, 30 percent of the Arts and Sciences freshmen either took the harder engineering calculus course or a higher level mathematics course (calculus II or III, linear algebra, or differential equations). The percentage in 2006 is only 24 percent.
No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America's Education Schools
Julie Greenberg and Kate Walsh, National Council on Teacher Quality1.5MB PDF:
American students' chronically poor performance in mathematics on international tests may begin in the earliest grades, handicapped by the weak knowledge of mathematics of their own elementary teachers. NCTQ looks at the quality of preparation provided by a representative sampling of institutions in nearly every state. We also provide a test developed by leading mathematicians which assesses for the knowledge that elementary teachers should acquire during their preparation. Imagine the implications of an elementary teaching force being able to pass this test.
I got an e-mail titled "An Angry American With An Idea." This e-mail must have gone viral, because I received it a half-dozen times. You probably got it too. Here is what it said:
"I'm against the $85,000,000,000 bailout of AIG. Instead, I'm in favor of giving $85,000,000,000 to America in a 'We Deserve It Dividend.' To make the math simple, let's assume there are 200,000,000 bona fide U.S. Citizens 18+. Our population is about 301,000,000 +/-, counting every man, woman and child. So 200,000,000 might be a fair stab at adults 18 and up. So divide 200 million adults 18+ into $85 billion. That equals $425,000. My plan is to give $425,000 to every person 18+ as a 'We Deserve It Dividend.' "
The letter goes on and describes the many wonderful things that could happen in America if each adult had an extra $425,000.
Now the funny part. Friends and colleagues--they shall remain anonymous--who passed this e-mail along would append a note: "You should read this." "This actually makes sense."
Not once did anyone point out the Angry American's wee calculation flaw. Eighty-five billion dollars divided by 200 million people is $425, not $425,000.
MidAmerican also sees promise in BYD's battery technologies for storing wind energy and solar energy, Mr. Sokol said. Difficulties in storing energy for when the wind is not blowing or the sun is not shining have limited the deployment of these renewable energy technologies.
More broadly, Berkshire Hathaway wants to tap into China's engineering talent and is doing so through BYD, which has 11,000 engineers and technicians among its 130,000 employees.
Mr. Buffett did not attend the news conference, but said in a statement that he was impressed with Mr. Wang's record as a manager.
Town Fills With Teens Studying Full-Time For a College Entrance Exam; 'Bansalites Rock'
KOTA, India -- Hoping to boost his chances of getting into a top college, Rohit Agarwal quit his high school and left home.
The 16-year-old moved from the far northeast corner of India in June, with two suitcases and a shoulder bag. He took a two-hour flight and a six-hour train ride to the dusty town of Kota, India's cram-school capital.
More than 40,000 students show up in the arid state of Rajasthan every year, looking to attend one of the 100-plus coaching schools here. These intensive programs, which are separate from regular high school, prepare students for college-entrance exams. In Kota, most of the schools focus on the prestigious Indian Institutes of Technology.
The seven IITs nationwide are statistically tougher to get into than Harvard or Cambridge. While around 310,000 students took the entrance exam this April, only the top 8,600 were accepted. A whopping one-third of those winners in the current academic year passed through Kota's cramming regimen.
Dan Nerad opened his remarks by stating his commitment to efforts for always continuing change and improvement with the engagement of the community. He outlined four areas of focus on where we are going from here.
Funding: must balance district needs and taxpayer needs. He mentioned the referendum to help keep current programs in place and it will not include "new" things.
Strategic Plan: this initiative will formally begin in January 2009 and will involve a large community group process to develop as an ongoing activity.
Meet people: going throughout the community to meet people on their own terms. He will carefully listen. He also has ideas.
Teaching and learning mission: there are notable achievement gaps we need to face head-on. The "achievement gap" is serious. The broader mission not only includes workforce development but also helping students learn to be better people. We have a "tale of two school districts" - numbers of high achievers (including National Merit Scholars), but not doing well with a lot of other students. Low income and minority students are furtherest away from standards that must be met. Need to be more transparent with the journey to fix this problem and where we are not good. Must have the help of the community. The focus must be to improve learning for ALL kids, it is a "both/and" proposition with a need to reframe the issue to help all kids move forward from where they are. Must use best practices in contemporary assessment, curriculum, pedagogy and instructional methods.
Dr. Nerad discussed five areas about which he sees a need for community-wide conversations for how to meet needs in the district.
Early learning opportunities: for pre-kindergarten children. A total community commitment is needed to prevent the 'achievement gap' from widening.
High schools: How do we want high schools to be? Need to be more responsive. The curriculum needs to be more career oriented. Need to break down the 'silos' between high school, tech schools and colleges. Need to help students move through the opportunities differently. The Small Learning Communities Grant recently awarded to the district for high schools and with the help of the community will aid the processes for changes in the high schools.
School safety: there must be an on-going commitment for changes. Nerad cited three areas for change:
a. A stronger curriculum helping people relate with other people, their differences and conflicts.
b. A response system to safety. Schools must be the safest of sanctuaries for living, learning and development.
c.Must make better use of research-based technology that makes sense.
a. Good news: several recommendations for curriculum, instruction and policies for change.
b. Bad news: our students take less math than other urban schools in the state; there are notable differences in the achievement gap.
Fine Arts: Cited recent Fine Arts Task Force Report. Fine arts curriculum and activities in the schools, once a strength, has been whittled away due to budget constraints. We must deal with the 'hands of the clock' going forward and develop a closer integration of the schools and community in this area.
Dr. Nerad introduced Mr. Erik Kass, Assistant Superintendent for Business Services who made the following remarks:
He is leading the management team in a revisit of the budget model and looking at the financial system; how the district does business; and, how effectively are we spending the money.
He will be looking to the city and county for partnerships and shared services
His mission with the Board of Education and the public is to present information in ways which ensure that information is accurate, honest, understandable and accessible.
Following are questions and comments from DCPAC members and guests with responses from Dr. Nerad.
John Pinto: a) what if the referendum fails? [Nerad: engage the community in priorities. He has an idea list of cuts, but is not sure if those are cuts in the right places.] b) how to get teachers less into 'politics' and more into school? [Nerad: there is a need to separate the work of teachers from politics in the schools. Continuing professional development in teaching and learning and by encouraging new teachers who make teaching their 'first' career choice.]
Nancy Mistele: a) urged engaging former board members and other community people with historical perspectives, expertise, etc. to offer the district; b) Fund 41 a good idea. [Nerad: the benefit of Fund 41 will be to reduce the negative impact on the Madison property tax payers for state aid and Fund 80 will reduce the amount of tax authority outside the revenue caps]; c) what does it cost to educate a child in this state and what does it cost not to educate children properly? [Nerad: The answer to those questions are very complex and involve community priorities and the state legislature engaging in proactive efforts.]
Don Severson: What are your thoughts and plans for cost/benefits/results analyses of programs and services on both sides of the house--educational and business? [Nerad: Outcome assessments should be tied to the strategic plan. He is very much interested in program evaluation - what is the cost and how it is done. He believes application of experimental research methodology for program assessment is questionable.]
Jonathon Barry: Stated his thanks to Dr. Nerad for his clear enunciation of the issues and directions. Barry remarked about his involvement with the :Fresh Start" program. There are 4000 disconnected youth in our area. Stated that MMSD will not contract with Fresh Start and that the Madison Teachers contract is a barrier to the issue. [Nerad: will contact Barry to set up a meeting. He needs to evaluate and determine where the district is with alternative programs. The principals are asking for help. We need more alternatives--it is all about students.]
Judy Reed: She is the principal of the Dane County Transition School, not associated with MMSD, but believes there also should be a working arrangement. Relationships are the key with the disconnected kids. Asked why does there need to be one dropout? [Nerad: will contact Reed to arrange a meeting.]
Gary Schmerler: Requested consideration for MMSD involvement in the county consortium for charter schools. [Nerad: he has asked that MMSD be at the table for the consortium dealing with career-based alternatives. He raised the question for further discussion as to: why do people want charters and how can we be more responsive in our programming in the district?"]
Phil Salkin: Suggested Nerad and others connect with www.wisconsinway@wcgpr.com for a statewide initiative underway to look at funding for education in Wisconsin and how individuals and groups can participate in that effort. He stated it was refreshing to hear about the initiatives for cost analyses, workforce development, etc., but the community and state must provide funding for education.
Chan Stroman: Stated that the district and community can't continue to excuse the problem of school safety fixes until school finance is fixed. She also stated that it does cost more to educate students from low-income families and for special needs students.
Dave Glomp: Expressed thanks to Nerad as a: breath of fresh air" and for his transparency. Requested the district to address the teacher contract as out of sync, collaborative, with the budget process. [Nerad: he will look at all of that. Also stated that teaching needs to be a profession of first choice. There also needs to be more of a balance of male and female teachers, especially at the elementary level.]
Final statement by Dr. Nerad: He is committed to keep communications open and the community engaged in the issues and problem resolutions. He urged individuals and the group to communicate with him their suggestions and needs.
The Stereometry book adapted from Russian by A. Givental is the second part of the legendary Kiselev's Geometry. It first appeared in 1892 as a second half of a single textbook and, for a long time, the two co-existed between the same covers. Indeed, the idea of a plane was introduced on page 1 while the last chapter of the book (that followed the stereometry part) was devoted to the geometric constructions in two dimensions. Kiselev's Geometry has demonstrated an unusual staying power, being in an uninterrupted circulation for a good part of a century. (For the historic outline, see the review of the first part.) As a matter of fact, the first part of the book met with stiffer competition so that, while its rule was weakened in the 1960s, the second part reigned in the textbook market well into the 1970s.
The combined 1980 edition came out under the title Elementary Geometry for teacher colleges with a Foreward by A. N. Tikhonov who observed, albeit with some reservations, that the pedagogical mastery with which the book was written, the simplicity and consistency of the exposition, kept the book from becoming obsolete.
The new state policy of requiring algebra in the eighth grade will set up unprepared students for failure while holding back others with solid math skills, a new report has concluded.
These predictions, based on national data, come in the wake of an algebra mandate that the state Board of Education, under pressure from Gov. Arnold Schwarzenegger, adopted in July. That decision won widespread praise from some reform advocates and the Bush administration, putting California out front in a national debate over improving mathematics instruction.
The policy also led to a lawsuit filed this month by groups representing school districts and school administrators. They contend that the state board adopted the new rules illegally. Their underlying concern is that the algebra policy is unworkable and unfunded.
The new study, released today by the Brookings Institution in Washington, D.C., looked at who is taking eighth-grade algebra and how they are doing.
And there was some ostensibly good news. Nationwide, more students are taking algebra than before. Over five years, the percentage of eighth-graders in advanced math -- algebra or higher -- went up by more than one-third. In total, about 37% of all U.S. students took advanced math in 2005, the most recent year in the analysis.
Algebra in eighth grade was once reserved for the mathematically gifted student. In 1990, very few eighth graders, about one out of six, were enrolled in an algebra course. As the decade unfolded, leaders began urging schools to increase that number. President Clinton lamented, "Around the world, middle students are learning algebra and geometry. Here at home, just a quarter of all students take algebra before high school."1 The administration made enrolling all children in an algebra course by eighth grade a national goal. In a handbook offering advice to middle school students on how to plan for college, U.S. Secretary of Education Richard Riley urged, "Take algebra beginning in the eighth grade and build from there."2 Robert Moses ratcheted up the significance of the issue by labeling algebra "The New Civil Right," thereby highlighting the social consequences of so many poor and minority students taking remedial and general math courses instead of algebra.3
The campaign was incredibly successful. Several urban school districts declared a goal of algebra for all eighth graders. In 1996, the District of Columbia led the nation with 53 percent of eighth graders enrolled in algebra. From 1990 to 2000, national enrollment in algebra courses soared from 16 percent to 24 percent of all eighth graders.
The surge continued into the next decade. Eighth-grade enrollment in algebra hit 31 percent nationally in 2007, a near doubling of the 1990 proportion. Today more U.S. eighth graders take algebra than any other math course.4 In July 2008, the State of California decided to adopt an algebra test as its eighth-grade assessment of student proficiency. The policy in effect mandates that all eighth graders will be enrolled in algebra by 2011.
Nobody writing about schools has been a bigger supporter of getting more students into eighth-grade algebra than I have been. I wrote a two-part series for the front page six years ago that pointed out how important it is to be able to handle algebra's abstractions and unknown quantities before starting high school. I have argued that we should rate middle schools by the percentage of students who complete Algebra I by eighth grade.
Now, because of a startling study being released today, I am having second thoughts.
The report (to be available at http://www.brookings.edu/brown.aspx ) reprints this simple NAEP problem:
There were 90 employees in a company last year. This year the number of employees increased by 10 percent. How many employees are in the company this year?
A) 9
B) 81
C) 91
D) 99
E) 100
The correct answer is D. Ten percent of 90 is 9. Add that to 90 and you get 99. How many of the misplaced students got it right? Just 9.8 percent. Not good.
"Nothing like a little math to wake you up in the morning," teacher Tricia Colclaser said this month after a taxing round of word problems.
Abstract math is not known for its stirring effect on U.S. teenagers. But algebra is viewed as increasingly essential for students preparing for college or careers in a fast-changing, technology-based economy. Some advocates call it the new literacy.
Strengthening the math abilities of all students is a steep challenge. Educators must reinforce basic concepts early on, attract teachers talented enough to go beyond dictating formulas, and, not least, overcome an anti-math bias many students harbor long into adulthood, that all the hours spent mixing letters and numbers yield more punishment than possibility.
How hard can it be?
The question led this education reporter back to high school to try again, as a student in Colclaser's class. To prepare, I reviewed a recent version of Virginia's Algebra II Standards of Learning exam. The 50 questions conjured a familiar wave of anxiety but little actual math. I then fumbled through a state Algebra I test, getting at most 10 answers right.
We have some of the top schools in the country in Arlington County. Is there some point with our children at which we could back off and not continue to push for rising achievement, an official goal of the county schools? Is there a way we can say, good enough is good enough?
My oldest son is in middle school. He is a talented but not gifted math student. Midway through this past school year, it was clear that he was not ready for algebraic thinking, and his seventh-grade math teacher compassionately helped us help him decide to move back to a more appropriate math level. Because I teach human development, I was able to help him understand that this wasn't about being dumb, but a developmental marker he had not yet hit. He moved back to repeat the math class he took last year.
Now I have a boy who is not enthusiastic about math. He doesn't believe he is good at it and doesn't think math is fun, all because we want rising achievement for all students.
WHERE WE STAND: America's Schools in the 21st Century
Via a kind reader's email:
Monday, September 15th
9:00 p.m. on Milwaukee Public Television (Channel 10)
11:00 p.m. on Wisconsin Public Television stations
In 1995, America's college graduation rate was second in the world. Ten years later, it ranked 15th. As so many nations around the world continue to improve their systems of education, America can no longer afford to maintain the status quo. In an ever-changing, increasingly competitive global economy, is the U.S. doing all it can to prepare its students to enter the workforce of the 21st century and ensure our country's place as a world leader?
WHERE WE STAND: America's Schools in the 21st Century examines the major challenges for U.S. schools in the face of a changing world. Divided into five segments, topics include globalization; measuring student progress; ensuring that all students achieve; the current school funding system, and teacher quality.
WHERE WE STAND is airing at a critical time in our country's history. Along with its companion website and a variety of dynamic outreach activities across the country, the program will inspire a national dialogue in the weeks prior to the November elections. Nationally recognized education experts and leading proponents of educational reform will put these examples in context. They include Geoffrey Canada, CEO of the Harlem Children's Zone; Diane Ravitch, education historian; Wendy Puriefoy, President of Public Education Network; Chester Finn, Senior Fellow at the Hoover Institute; Rick Hess, Director of Education Policy Studies, AEI; Michael Rebell, Executive Director of the Campaign for Educational Equity; and Sharon Lynn Kagan, Associate Dean for Policy, Teacher's College at Columbia University.
WHERE WE STAND introduces students, parents, teachers and administrators whose stories illustrate the overwhelming odds and shining successes of education in America. They include Bin Che, an educator from mainland China who teaches Mandarin in rural Ohio; Cherese Clark, principal of a high-poverty school struggling under the pressure of low test scores; Alex Perry, who, at age 16, has already taken three college-level math classes, and Finnish exchange student Anne Kuittinen, who earns no school credit for her year in the U.S. despite her straight-A record.
Hosted by Judy Woodruff, Senior Correspondent for The NewsHour with Jim Lehrer, the documentary visits a range of socioeconomic and geographic school districts. The program features schools in Ohio, an important swing state, but this program is about all of our schools and where they stand.
Where We Stand: America's Schools in the 21st Century companion website (www.pbs.org/wherewestand <http://www.pbs.org/wherewestand> ) launches on September 15th in conjunction with the premiere. The program can be streamed in its entirety online.
Scientists have for the first time established a link between a primitive, intuitive sense of numbers and performance in math classes, a finding that could lead to new ways to help children struggling in school.
A study involving 64 14-year-olds found that the teenagers who did well on a test that measured their "number sense" were much more likely to have gotten good grades in math classes.
"We discovered that a child's ability to quickly estimate how many things are in a group significantly predicts their performance in school mathematics all the way back to kindergarten," said Justin Halberda, an assistant professor of psychological and brain sciences at Johns Hopkins University who led the research, published online yesterday by the journal Nature. "It was very surprising."
Columbia Public Schools' chief academic officer said the district is ready to compromise with the community when it comes to elementary math. But Sally Beth Lyon, who oversees district curricula, stopped short of saying concepts-based math would be replaced by a more traditional program.
"We're going to figure out how to get something done so we can all move forward," she told the Tribune. "We're still at the table and will discuss the best way to move forward and include and acknowledge the community concerns we're hearing."
Lyon's comments followed last night's Board of Education meeting, where board member Ines Segert accused the district of appointing people to district math committees who are biased toward investigative math programs and not appointing mathematicians who favor more traditional math instruction.
Segert cited three University of Missouri math education professors who serve on district committees and have received grant funds to train Columbia teachers how to use concepts-based math materials. "They instruct teachers in a certain ideology that happens to be used in these textbooks we have in class," said Segert, a vocal advocate of returning traditional math to classrooms.
Lyon's comments followed what was almost a scolding from board member Ines Segert during last night's board meeting. Segert criticized the district for appointing math education professors on math committees who seem to benefit from investigative math curriculum. She also accused the district of giving people incomplete data and summaries that skew results to justify current practices.
Lyon denied that anyone making curricula decisions receive district dollars. Any grant money they get comes from federal and state sources, she said.
New state test results show that Prince William County's third-graders are struggling to score at the highest level since the implementation of a controversial math program that was intended to boost performance.
The scores, which are the first state Standards of Learning (SOL) results to gauge the new program's effectiveness, reveal that fewer than half of Prince William's third-graders scored in the advanced category this year, the first that the Pearson math program "Investigations in Number, Data, and Space" was taught in that grade. Last year, third-graders who had not begun "Investigations" posted the same results.
The flat scores are a sizable decline since 2006, when 56 percent of third-graders reached the advanced level in math.
" 'Investigations' didn't cure the problem," said Vern Williams, a Fairfax County teacher and former member of the National Mathematics Advisory Panel who was invited by the Prince William School Board to speak at its work session later this month.
It will be interesting to see what, if any effect the soon to be released Madison Math Task Force report has on the local curriculum.
by Unnamed MMSD Educators [RSS]. The blog touches on the "Standards Based Report Card" initiative among a number of other topics.
What about . . . THE 6th GRADE STUDENT READING AT A 2nd GRADE LEVEL?
From the district Curricular Standards:
"These Grade Level Performance Standards describe behaviors typical at the specified grade level. They represent behaviors students generally exhibit as they move from novice to expert in their ability to take control of language processes. It is important to remember, however, that literacy learning may not be sequential and each child has a unique developmental pattern."
The 6th grade student reading at a 2nd grade level earns a ONE (remember, no zeroes) for the Power Standard of Reading Comprehension. Why? For not meeting the "behaviors typical at the specified grade level " (6th).
Now, if said student raises her/his reading level to that of a 4th-grade student, guess what. That student still does not meet the 6th grade standard and will still earn a ONE for the Power Standard of Reading Comprehension. Effort and improvement are not taken into consideration in this constricted construct for grading.
Henri Cartan, one of the leaders of a revolution in mathematics, dies at 104
In the 1930s, a group of young French mathematicians led an uprising that revolutionized mathematics. France had lost most of a generation in the First World War, so the emerging hotshots in mathematics had few elders to look up to. And when these radicals did look up, they didn't like what they saw. The practice of mathematics at the time was dry, scattered and muddled, they believed, in need of reinvention and invigoration.
So they took up arms: pens and typewriters. Using the nom de plume "Nicolas Bourbaki" (after a dead Napoleonic general), they wrote a series of textbooks laying out mathematics the right way. Though the young mathematicians started out only intending to write a good textbook for analysis (essentially an advanced form of calculus), they ended up creating dozens of volumes which formed a manifesto for a new philosophy of mathematics.
The last of the founders of Bourbaki, Henri Cartan, died August 13 at age 104. In addition to his work in Bourbaki, Cartan made groundbreaking contributions to a wide array of mathematical fields, including complex analysis, algebraic topology and homological algebra. He received the Wolf Prize in 1980, one of the highest honors in mathematics, for his work on the theory of analytic functions. Two of his students won the Fields medal, sometimes considered equivalent to the Nobel Prize in mathematics, one won the Nobel Prize in physics and another won the economics Nobel.
SAT Comparison: Wisconsin, Minnesota, Illinois, Michigan and Iowa
The average SAT scores for Wisconsin and the neighboring states are summarized below. The higher the percentage of students who take the test, the lower
the average score is likely to be.
State
% Taking Test
Critical Reading
Math
Writing
Minnesota
8
596
609
579
Illinois
7
583
601
578
Michigan
6
581
598
572
Wisconsin
5
587
604
577
Iowa
3
603
612
582
The Wisconsin Department of Public Instruction Press Release [255K PDF] only compared Wisconsin to the National Average, below.
Metro high school students did something last year that most school districts only dream of -- 80 percent reached math proficiency, or better, as compared with 69 percent the year before.
Definitions of proficiency aside, some testing experts call the 11-percentage-point jump unprecedented.
"If the numbers are accurate and represent the change in learning, that's a tremendous gain," said David Silver, a statistician at the National Center for Research on Evaluation, Standards, and Student Testing at UCLA.
"For comparison, over the past five years in California, we saw a total increase of eight points in mathematics in grades 2 to 7," he said. "The biggest gain we ever saw in that time from year-to-year was four percentage points."
Even if there were money to pay for it, the state's new algebra mandate would still be a bad idea.
ow that the State Board of Education is foolishly requiring every eighth-grader to take algebra, starting in three years, all that remains to be figured out is, how on Earth is this going to happen when so few kids are on track to get there?
The solution, according to state Supt. of Public Instruction Jack O'Connell, is to spend $3.1 billion on a "California Algebra I Success Initiative" that would recruit and train math teachers, lengthen the middle-school day, reduce class sizes in math and so forth.
The ideas are good enough. Essentially, though, they're a political ball tossed to Gov. Arnold Schwarzenegger, who pushed for the eighth-grade requirement. (O'Connell opposed it.) The governor took on the easy part of school reform, in which he got to call for an unrealistic standard and proclaim that California was the first in the land with such high expectations. Will he now refuse to pay for the math requirement that he said was so necessary? That's a possibility. The algebra funding would add about 5% to the state's total allocation for public education, money that is not readily available even in a good budget year.
The weakest and most vulnerable element in education, particularly in the developed world, is the education of adolescents in our secondary-school systems. Relative economic prosperity and the extension of leisure time have spawned an inconsistent but prevalent postponement of adulthood. On the one hand, as consumers and future citizens, young people between the ages of 13 and 18 are afforded considerable status and independence. Yet they remain infantilized in terms of their education, despite the earlier onset of maturation. Standards and expectations are too low. Modern democracies are increasingly inclined to ensure rates of close to 100 percent completion of a secondary school that can lead to university education. This has intensified an unresolved struggle between the demands of equity and the requirements of excellence. If we do not address these problems, the quality of university education will be at risk.
To make secondary education meaningful, more intellectual demands of an adult nature should be placed on adolescents. They should be required to use primary materials of learning, not standardized textbooks; original work should be emphasized, not imitative, uniform assignments; and above all, students should undergo inspired teaching by experts. Curricula should be based on current problems and issues, not disciplines defined a century ago. Statistics and probability need to be brought to the forefront, given our need to assess risk and handle data, replacing calculus as the entry-level college requirement. Secondary schools and their programs of study are not only intellectually out of date, but socially obsolete. They were designed decades ago for large children, not today's young adults.
Raise, not lower standards. Quite a concept. Clusty Search: Leon Botstein.
The students swapped stories of little sisters, brothers and cousins who were taking above-grade-level math and getting good grades, yet did not seem to have a firm grasp of the material. The curriculum is being "narrowed and shallowed," Walstein said. "The philosophy is that they squeeze you out the top like a tube of toothpaste. That's what Montgomery County math is."
Several students nodded their heads. This thesis has become Walstein's obsession: In its drive to be the best, please affluent parents and close the achievement gap on standardized tests, the county is accelerating too many students in math, at the expense of the curriculum -- and the students. The average accelerated math student "thinks he's fine. His parents think he's fine. The school system says he's fine. But he's not fine!" Walstein declares on one occasion. On another, Walstein is even less diplomatic. " 'We have the best courses and there's no achievement gap and everything is wonderful,' " he says, parroting the message he believes county administrators are trying to project.
To help meet the economic and business challenges ahead and retain Michigan's position as the state with the highest percentage of engineers in the nation, Michigan high-school students will get significantly increased chances to develop critically needed engineering, science and math skills in 2009, thanks to a restructuring of the FIRST Robotics Competition (FRC) in Michigan.
"Although it is impossible to predict the future, including the economic opportunities and challenges Michigan may face, it is clear that to re-energize our economy we need more than a favorable business tax environment and financial incentives alone," said Bloomfield, Mich. resident and FIRST in Michigan Director, Francois Castaing.
"We need a steady flow of new engineers and technicians who will help existing and new industries tackle international competition and environmental challenges," he continued. "Michigan needs the next Larry Page to start another Google or to invent a new fuel from crab grass."
Scores from 7 million students nationwide show that girls and boys do equally well on tests. But Minnesota's high school girls still lag.
When it comes to math scores, high school girls are measuring up, reports a national study challenging the persistent notion that boys are naturally better with numbers.
The University of Wisconsin-Madison study released Thursday in the journal Science reported that, overall, U.S. girls and boys got equal math scores, from second through 11th grades. The results of the study, the largest of its kind, represented marked improvement over a 1990 study showing measurable differences in complex problem-solving, starting in high school.
Julie Chang is spending the summer learning calculus at a college prep school. In the fall, she's going to take calculus again, as a junior at Plano Senior High.
Her strategy is simple: Learn as much as possible about the subject over the summer so there's a good chance of acing the class when it really counts – during the school year.
And maybe she can reach her goal of being valedictorian for the Class of 2010
What would it take for Iowa - and the nation - to fully prepare students for the globally competitive world of today and tomorrow?
What does that mean for the curriculum, training of teachers and expectations for students? What is the best way to transform classrooms to deliver this world-class education, not just to elite students but to everyone? Are national standards the answer, or should that be left to states?
Those are some of the questions The Des Moines Register's editorial board has asked in recent months. We've talked with educators and policymakers, we've visited schools and we'll visit others here and abroad.
everal things are clear from conversations to date:
One is a growing, though hardly universal, concern that the United States must better educate students to keep its competitive edge in a fast-changing global economy. The rise of Asia and the flattening of the world with technology - allowing jobs to move virtually anywhere in the world - create great opportunities but also pose significant threats. That's especially worrisome when American youngsters perform so poorly in math and science on international tests compared to their peers in many other places.
We continue our special series this week on preparing your children for the new school year. This year high school students are required to take more math. School Solutions' Kim Covington explains that's no sweat for the students of a Tempe teacher.
A record number of students at Desert Vista High School in Tempe got perfect scores on their SAT. That's 26 students, but another 40 just missed one.
Many of those students attended Desert Vista's popular 4 hour summer math camp. The 5th-8th graders who take part breezed through Algebra in just a few weeks. Teacher Larry Strom started the math camp two years ago. The Math Department Chair says, "we tell them to take Algebra as early as they possibly can."
There've been lots of complaints that Gov. Arnold Schwarzenegger has neither much interest in education policy, nor the capacity to deal with it. But his precipitous plunge into the algebra wars last week and the state Board of Education's sudden decision to bow to his demand makes you wish that that he had less interest or a lot more capacity.
The leap, in the form of a letter urging the board to require that every eighth-grader take beginning algebra and the board's overnight agreement to mandate it within three years is like trying to make a scrawny horse pull a heavier load with a bigger whip. At best, it won't work; at worst, it will kill the horse.
The state has for some years had an admirable "goal" that every eighth-grader take algebra, combined with a set of incentives for districts to get all students there. The incentives – essentially penalizing schools by reducing a school's Academic Proficiency Index for each student who takes only general math – have worked. More than half of California's eighth-graders now take either algebra or geometry.
One thing both sides of the math-wars debate should agree on is this: Educators can set high standards, but the higher standards only help students if the students have a base of knowledge from which they can rise. In 1997, when the state board of education issued math standards that called for eighth graders to learn Algebra 1, they knew that California teens could not instantly meet that goal.
Rather than set a strict mandate for eighth grade Algebra 1, the board used other policies to set incentives for moving more students into higher-level math, and disincentives for failing to do so - with the goal of having all eighth graders learn Algebra 1 by 2014. The ratio of eighth graders who took Algebra 1 or even higher level math grew from 16 percent in 2000 to 52 percent today. Those 52 percent of students are in a strong position to make it through the college track. Supporters believe this progress - especially the doubling of African American students in eighth-grade Algebra 1 - represents a coup in the struggle to close the achievement gap.
Summertime means school for an increasing number of high school students who have struggled in their math courses. But the system could be contributing to the kids’ poor performances.
Sam Cooke once cooed: "It's summertime, and the living is easy."
Tell that to the increasing number of middle and high school students who will be sweating out summer school this year because of their meltdown in math.
It isn't absurd enough that we test high school students with a High School Exit Exam that is pretty much on a par with the California Basic Educational Skills Test (CBEST) required of teachers, but now we are all congratulating ourselves with a decision to test eighth graders for algebra. At least state schools chief Jack O'Connell has learned from his own past mistakes and opposed this decision. If only he had the guts to say he blew it on advocating for the exit exam, which is not only a complete waste of tens of millions of dollars, but sends more and more kids into the streets and trouble with the law when they fail to graduate because they do not test as well as others. (About 10 percent of high school students must "fail," otherwise it isn't a "test.")
I tutored algebra to younger students when I myself was in high school. Later I taught it in public high schools for nearly 20 years, concurrently with other math courses, including geometry, pre-algebra and seventh and eighth grade math. I taught in some of the highest achieving, and some of the lowest achieving middle and high schools in the state. So, maybe my perspective is broader than the average citizen's. Still, anyone who thinks it is a good idea to begin testing all eighth graders in algebra is simply delusional. It would be more PC to say uninformed, but I am at wit's end.
This week's dust-up over whether all of California's eighth-graders should be taking algebra encapsulates one of the state's overarching educational dilemmas: Is it wise to set educational standards that apply to all students, even though they have an astonishing and ever-widening array of innate abilities and cultural, economic, ethnic and linguistic backgrounds?
Gov. Arnold Schwarzenegger and advocates of educational rigor are hailing the state Board of Education's vote to impose the algebra requirement in response to pressure from federal officials about creating more uniformity in standards and testing.
However, state schools Superintendent Jack O'Connell, who wanted to modify the decade-old state policy of introducing eighth-graders to algebra to comply with the federal demands, claims that the decree will leave many kids behind because the state is unprepared, educationally and financially, to implement it.
The conflict echoes, ironically, the controversy over the decree that high-schoolers must pass an exit exam before being awarded graduation diplomas - a standard that O'Connell vigorously championed as legislator and state schools chief.
The government is launching a three-year initiative to boost technical education.
The Ministry of Human Resource Development will head the effort designed to overhaul India's education system, which lags other developing countries. Officials said the effort aims to improve the quality of Indian education by expanding the capacity of institutions and creating new ones.
Regional, social and gender disparities in higher and technical education are also being addressed in the new strategy, which is being bolstered by a nine-fold budget increase for technical education. At the same time, the ministry said, regional governments need to do more to support technical education.
The federal government plans to establish eight new Indian Institutes of Technology, known for producing top researchers for global technology firms. Also planned are two more Indian Institutes of Science, Education and Research. Twenty new Indian Institutes of Information Technology are also planned.
How many teachers does it take to make a pingpong ball launcher?
More than one, 84 high school and middle school teachers participating in a two-week training class at the Milwaukee School of Engineering found out.
On Friday, they finished learning how to work cooperatively to make pingpong ball launchers and marble sorters, and to rip apart everything from flashlights to strap hinges so they could remake them to work better.
As a result, each is now certified to teach one Project Lead the Way class in digital electronics, civil engineering and architecture, or another engineering topic.
The Project Lead the Way-trained teachers are part of a push that powerful forces in the state have gotten behind.
ersonally, I know that China and India are not “Third World” countries, but that is because I’ve traveled to those countries and I deeply admire their cultures and their people.
The inspiration for the name “Third World Challenge” came a statement made to me by a professor at the Harvard Graduate School of Education when I showed my film Two Million Minutes for the HGSE faulty. “We have nothing to learn from education systems in Third World countries,” he intoned with much gravitas, “Much less a Third World country that lacks freedom of speech.” To my surprise, no other faculty member rose to challenge that statement.
While I certainly expected a more open-minded and globally aware audience at Harvard, I have now screened my film around the country and a surprisingly large segment of the American population believes India and China’s K-12 education systems are inferior to that of the United States. While no American makes the statement with the boundless hubris of a Harvard professor, the conclusion often is the same – America is number one in education and always will be.
This of course is not true. American students’ academic achievement has been declining vis-à-vis other developed countries for more than 20 years. What is now surprising and worrisome is US students are even lagging the developing world.
What do you think about the CPS effort to bring more algebra into middle schools?
From Catalyst: "The June board meeting included a brief presentation on student achievement from the Office of Instructional Design and Assessment. A recap of statistics showed that while 40 percent of 8th-graders across the country take algebra, only 8 percent of CPS 8th-graders do.
"With this in mind, Chief Officer Xavier Botana noted how the district is revamping algebra instruction: 8th-grade algebra will now be called “High School Algebra in the Middle Grades,” a name change that Botana said will help parents and others understand that students are tackling high-school-level material.
A commenter nails the issue:
The exit exams have to be real. They can't be given credit for high school algebra, then show up in high school unprepared to take second year algebra.
Of course, they would only be prepared to take algebra in 8th grade if they have had rigorous math instruction before that. I believe these suburban schools with 40% of 8th graders taking algebra also have pre-algebra programs for kids in the 7th grade.
I'm all for offering rigorous classes; but there has to be some support to help kids get there.
Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
American students' chronically poor performance in mathematics on international tests may begin in the earliest grades, handicapped by the weak knowledge of mathematics of their own elementary teachers. NCTQ looks at the quality of preparation provided by a representative sampling of institutions in nearly every state. We also provide a test developed by leading mathematicians which assesses for the knowledge that elementary teachers should acquire during their preparation. Imagine the implications of an elementary teaching force being able to pass this test.
Most of the nation's undergraduate education programs do not adequately prepare elementary teachers to teach mathematics, according to a study released Thursday by an education-reform advocacy group. Utah State University is among the 83 percent of surveyed programs that didn't meet what the National Council on Teacher Quality calls an emerging "consensus" on what elementary teachers must learn before joining professional ranks.
"There's a long-standing belief in our country that elementary teachers don't really need to get much math. The only thing you need to teach second-grade math is to learn third-grade math," said Kate Walsh, executive director of the Washington, D.C.-based group. "We haven't put much attention to fact the elementary teachers are the first math teachers kids get. Their foundational skills have long-term ramifications whether that child will be able to do middle and high school math."
The NCTQ's findings are similar to a reading report the group released two years ago, claiming that 85 percent of undergraduate elementary education programs fail to adequately prepare students to teach reading.
Joanne has more. It will be interesting to see of the Madison Math Task Force addresses the question of teacher content knowledge. Related:
"Most incoming (community college) students are not ready for college-level work," the report says. "In addition, relatively few of these students reach proficiency during their time (in community college)."
That's interesting, but it also raises this question: Since virtually all of those community college students graduated from high school, what is that telling us about the level of K-12 instruction?
One presumes, perhaps naively, that if someone possesses a California high school diploma, thus signifying 12 years of education costing taxpayers around $130,000, that someone must possess basic reading, writing and computational skills.
Remember, we're not talking about the roughly one-third of California's teenagers who don't graduate from high school; with few exceptions we're talking about graduates who have enough gumption to attend community college, and yet, this report says most don't have the appropriate basic skills for college-level studies. By the way, that also doesn't count the large numbers of high school graduates – well over a third – who require remedial instruction after being accepted into the California State University system.
MasterCard Worldwide is donating nearly $200,000 in grants this year as part of its St. Louis corporate giving program, Project Math, which helps advance math education in the St. Louis area.
Among those who are currently receiving funding from MasterCard as part of Project Math are the Wentzville School District, The Magic House, Big Brothers Big Sisters of Eastern Missouri and the Missouri Colleges Fund. Junior Achievement of Mississippi Valley Inc. received a $50,000 grant in March enabling the organization to reach more than a dozen St. Louis area schools.
Pre-school children should spend time cooking with their parents and playing with numbers to help improve their maths skills, a Government review has recommended.
The report by Sir Peter Williams, Chancellor of Leicester University, also advised that every primary school should have a specialist maths teacher and called for more mental arithmetic in class.
He called for urgent action to change England's "can't do attitude" to the subject, and said that every child should have mastered the basics of the subject by the age of seven.
To help achieve this children should be playing with shapes, time, capacity and numbers to foster their "natural instincts" from a young age
Germany’s shortage of engineers has become so acute that some of its leading companies are turning to nursery schools to guarantee future supplies.
Industrial giants such as Siemens and Bosch are among hundreds of companies giving materials and money to kindergartens to try to interest children as young as three in technology and science.
Many European countries from Switzerland to Spain suffer shortages of graduates. But the problem is especially acute in Germany, renowned as a land of engineering. German companies have 95,000 vacancies for engineers and only about 40,000 are trained, according to the engineers’ association.
“It is a new development in that we have seen we need to start very early with children. Starting at school is not good enough – we need to help them to understand as early as possible how things work,” said Maria Schumm-Tschauder, head of Siemens’ Generation21 education programme.
March 7, 2008 Meeting [rtf / pdf]. Well worth reading for those interested in the use of Connected Math and Core Plus, among others, in our schools.
A few interesting items:
Mitchell Nathan proposed a change to the name of the Work Group to more authentically describe its intent. There was consensus to accept the change in designation for the Work Group from "Curriculum Review and Research Findings" to “Learning from Curricula."
"Addresses the misconception that there is one curriculum. There are a number of curricula at play, with the exception of the narrowing down at the middle school level, but teachers are also drawing from supplementary materials. There are a range of pathways for math experiences. The work plan would give an overview by level of program of what exists. "
"Could say that variety is good for children to have places to plug into. Could expand on the normative idea of purchasing commercial curricula vs. richer, in-house materials. Standards tell the teachers what needs to be taught. Published materials often are missing some aspect of the standards. District tries to define core resources; guides that help people with classroom organization." Fascinating, given the move toward one size fits all in high school, such as English 9 and 10.
"Want to include a summary of the NRC report that came out in favor of Connected Math but was not conclusive—cannot control for teacher effects, positive effects of all curricula, etc. "
"Would like to give some portrayal of the opportunities for accelerated performance -- want to document informal ways things are made available for differentiation. "
"Include elementary math targeted at middle school, e.g., Math Masters. There is information out there to address the Math Masters program and its effect on student achievement."
"Data are available to conclude that there is equity in terms of resources"
"District will have trend data, including the period when Connected Math was implemented, and control for changes in demographics and see if there was a change. No way to link students who took the WKCE with a particular curriculum experience (ed: some years ago, I recall a teacher asked Administration at a PTO meeting whether they would track students who took Singapore Math at the Elementary level: "No"). That kind of data table has to be built, including controls and something to match teacher quality. May recommend that not worth looking at WKCE scores of CM (Connected Math) student or a case study is worth doing. "
The Parent Survey will be mailed to the homes of 1500 parents of students across all grades currently enrolled in MMSD math classes. The Teacher Survey will be conducted via the district’s web site using the Infinite Campus System.
CPS Secondary Math Curriculum Coordinator Chip Sharp provided average ACT scores reported by course enrollment which are used in the figures below. Plotting the data in several ways gives food for thought regarding the differences between algebra and integrated math pathways offered at CPS.
The data don't distinguish between which students are sophomores, juniors or seniors when they take the ACT, which students may have repeated courses or what year they started the pathway (7th, 8th or 9th grade). But it does give some idea of how much math "preparation" each course pathway provides at least for the years for which data is available.
I've heard that Madison's Math Task Force will render a report prior to Superintendent Art Rainwater's June 30, 2008 retirement. Related: Math Forum.
Milwaukee Public Schools officials got the assurance they were seeking when Gov. Jim Doyle said Wednesday that he will release $10 million to improve math instruction in Milwaukee next year.
Although the money was included in the budget approved last fall, Doyle had the option of not awarding it. After Doyle used his veto powers recently to require a $270 million cut in spending next year, MPS leaders were concerned the $10 million might be chopped.
Doyle used an eighth-grade classroom at the Lincoln Center of the Arts, an MPS middle school on the lower east side, to announce he was awarding the money, which is to be used to pay for more than 100 math teaching positions.
Next fall, 26 of the sharpest fifth-grade minds at Potomac Elementary School will study seventh-grade math. The rest of the fifth grade will learn sixth-grade math. Fifth-grade math will be left to the third- and fourth-graders.
Public schools nationwide are working to increase the number of students who study Algebra I, the traditional first-year high school math course, in eighth grade. Many Washington area schools have gone further, pushing large numbers of students two or three years ahead of the grade-level curriculum.
Math study in Montgomery County has evolved from one or two academic paths to many. Acceleration often begins in kindergarten. In a county known for demanding parents, the math push has generated an unexpected backlash. Many parents say children are pushed too far, too fast.
Sixty Montgomery math teachers complained, in a November forum, that students were being led into math classes beyond their abilities.
I think we've decided where Belle is going to kindergarten. Barring some unforeseen circumstance, she'll be attending our neighborhood school in the fall.
When I last wrote on this subject, we were really torn between the two options, the neighborhood school and the public "Open" school. Since that writing, I did a classroom observation at the Open school, which was required as part of the application process, and liked what I saw overall. I did wish that they hadn't put me in a student teacher classroom, but I suppose that's a reality that is good to observe, too.
We went ahead with being entered in the lottery, and we drew number 45. The lottery was in the end of March, and as of now they are at number 38 on the list. Historically, people who draw numbers in the 40s usually get in, but it can be as late as July or August. So all through April and May, Kevin and I put off discussing the issue because we figured we'd hash it out if/when we got in and there was a decision to make. (Of course, that didn't stop me from getting opinions on both schools from anyone and everyone I could.) We told Belle that there were two schools we were considering for her, and she was OK with it being up in the air.
Gwinnett County Schools began to prepare teachers for higher than normal failure rates on the standardized math exam for middle-schoolers long before the state announced the troubled scores.
Tougher standards made the new middle school math section of the Georgia Criterion-Referenced Competency Test more challenging for students. New curriculum changes also proved to be more difficult for some educators to teach and students to grasp.
When you have a new assessment on a new curriculum you usually anticipate that you will have a dip in performance," said Sloan Roach, spokesperson for Gwinnett Schools.
Planning ahead for problems, Gwinnett administrators asked more middle school teachers than usual to stick around for summer school, so the district wouldn't be overwhelmed by eighth-graders seeking help in math. Eighth-graders are required to pass the CRCT for promotion to high school.
Thousands of high school freshmen across Michigan are failing Algebra I, the first of four math courses this class of students must take and pass to fulfill what are among the toughest graduation requirements in the nation.
The failure rate -- estimated at 20% to 30% of about 113,000 freshmen -- has some predicting a crisis by the time these students are juniors and must take Algebra II.
In Macomb County after the first semester of this school year, the failure rate was around 28%.
"We have enough data to think this is going to continue to be a problem," said Gayle Green, assistant superintendent with the Macomb Intermediate School District. Failure rates for Oakland and Wayne counties haven't been compiled but officials there are concerned, too.
The House Education and Labor Committee held a hearing to examine a recent report released by the National Mathematics Advisory Panel on the state of math education and instruction in the United States. Among other things, the report found that the nation's system for teaching math is "broken and must be fixed" if the U.S. wants to maintain its competitive edge.
Skip Fennel's wide ranging testimony can be read here [66K PDF]:
However, I would add that at a time of teacher surplus at the elementary school level, it is perhaps time to scrap the model of elementary teacher as generalist. Why not have specifically trained elementary mathematics specialists starting from day one of their career? Our country can’t wait until such specialists are graduate students.
Prince William County, after years of longing, may finally get a selective magnet school to serve as a mini-rival to Fairfax County's prestigious Thomas Jefferson High School for Science and Technology.
The Prince William, Manassas and Manassas Park school systems recently won a $100,000 state grant to design a regional "governor's school" that would open by fall 2010 and specialize in math, science and technology.
The yet-unnamed school, which would have rigorous admissions requirements, would differ in key respects from Thomas Jefferson, a full-day governor's school in the Alexandria section of Fairfax that draws students from across Northern Virginia. Students would still attend neighborhood schools, traveling to the new magnet campus only for high-level classes.
The most noticeable change is a dramatic increase in students taking accelerated math classes in the middle years, an initiative that seems to have spread to every school system in the region. Educators view math acceleration as a gateway to advanced study in high school and, in turn, to college. Higher-level math classes have helped middle schools cultivate a community of students similar to those in honors and Advanced Placement high school classes.
At Samuel Ogle Middle School in Bowie, the number of students taking Algebra I, a high-school-level course, has doubled from 60 to 120 in the past two years.
The National Science Bowl® is a highly visible educational event and academic competition among teams of high school students who attend science seminars and compete in a verbal forum to solve technical problems and answer questions in all branches of science and math. The regional and national events encourage student involvement in math and science activities, improve awareness of career options in science and technology, and provide an avenue of enrichment and reward for academic science achievement.
"EVERYBODY wants it. Nobody understands it. Money is the great taboo. People just won't talk about it. And that is what leads you to subprime. Take the greed and the financial misrepresentation out of it, and the root of this crisis is massive levels of financial illiteracy."
For years John Bryant has been telling anyone who will listen about the problems caused by widespread ignorance of finance. In 1992, in the aftermath of the Los Angeles riots, he founded Operation HOPE, a non-profit organisation, to give poor people in the worst-hit parts of the city “a hand-up, not a handout” through a mixture of financial education, advice and basic banking. Among other things, Operation HOPE offers mortgage advice to homebuyers and runs “Banking on Our Future”, a national personal-finance course of five hour-long sessions that has already been taken by hundreds of thousands of young people, most of them high-school students.
The council is not short of expertise. It is chaired by Charles Schwab, eponymous boss of a broking firm. Its other members include the head of Junior Achievement, which has been teaching children about money since 1919, and a co-author of “Rich Dad, Poor Dad”, a self-help bestseller. Already, it has approved a new curriculum for middle-school students, "MoneyMath: Lessons for Life". (Lesson one: the secret to becoming a millionaire. Answer: save, save, save.) It is starting a pilot programme to work out how to connect the “unbanked” to financial institutions. And it is supporting what, echoing the Peace Corps, is called the Financial Literacy Corps: a group of people with knowledge of finance who will volunteer to advise those in financial difficulties.
Yet another math curriculum. One of the things I noticed when paging through the large Connected Math (CMP) textbooks a few years ago was the consumer oriented nature of the content (as opposed to a creative approach).
New group the State of Black Madison Coalition said it is out to "change the plight of African Americans in the community," and members warned if that doesn't happen, Madison could see the major problems that plague Beloit and Milwaukee.
The new coalition of African American focused groups, armed with a new report called "The State of Black Madison 2008: Before the Tipping Point," issued a call to action Tuesday to the entire Madison community.
It said Madison is on the precipice of change and if problems of disparity between whites and blacks are not addressed, the city might, as the one coalition member put it, "plunge into intractable problems that plague most major urban cities."
The reports details the state of African Americans in Madison, saying if trends from 1990-2005 continue, it will take 265 years for the income gap between blacks and the rest of the Dane County community to disappear.
"A city should be measured by how close the weakest link is to the strongest link. My friends, in Madison we are football fields apart," said Scott Gray, president and CEO of the Urban League of Greater Madison
African-American city leaders say the black community is in trouble and hope a new report called the State of Black Madison will be a catalyst for change.
The summary report, Before the Tipping Point, was released today by the State of Black Madison Coalition. They based their findings on information from the Center on Wisconsin Strategy and other recent research. Among the discoveries: racial disparity is most prevalent in the areas of criminal justice, education, health care and housing. 37-percent of African Americans in Dane County live in poverty today, as compared to just 11-percent of the community as a whole. And if trends that turned up between 1990-2005 continue, it will take 265 years for the income gap between blacks and the rest of the county to disappear.
It is 10:30 p.m. and students at the elite Daewon prep school here are cramming in a study hall that ends a 15-hour school day. A window is propped open so the evening chill can keep them awake. One teenager studies standing upright at his desk to keep from dozing.
Kim Hyun-kyung, who has accumulated nearly perfect scores on her SATs, is multitasking to prepare for physics, chemistry and history exams.
“I can’t let myself waste even a second,” said Ms. Kim, who dreams of attending Harvard, Yale or another brand-name American college. And she has a good shot. This spring, as in previous years, all but a few of the 133 graduates from Daewon Foreign Language High School who applied to selective American universities won admission.
It is a success rate that American parents may well envy, especially now, as many students are swallowing rejection from favorite universities at the close of an insanely selective college application season.
“Going to U.S. universities has become like a huge fad in Korean society, and the Ivy League names — Harvard, Yale, Princeton — have really struck a nerve,” said Victoria Kim, who attended Daewon and graduated from Harvard last June.
Daewon has one major Korean rival, the Minjok Leadership Academy, three hours’ drive east of Seoul, which also has a spectacular record of admission to Ivy League colleges.
How do they do it? Their formula is relatively simple. They take South Korea’s top-scoring middle school students, put those who aspire to an American university in English-language classes, taught by Korean and highly paid American and other foreign teachers, emphasize composition and other skills key to success on the SATs and college admissions essays, and — especially this — urge them on to unceasing study.
One train leaves Station A at 6 p.m. traveling at 40 miles per hour toward Station B. A second train leaves Station B at 7 p.m. traveling on parallel tracks at 50 m.p.h. toward Station A. The stations are 400 miles apart. When do the trains pass each other?
Entranced, perhaps, by those infamous hypothetical trains, many educators in recent years have incorporated more and more examples from the real world to teach abstract concepts. The idea is that making math more relevant makes it easier to learn.
That idea may be wrong, if researchers at Ohio State University are correct. An experiment by the researchers suggests that it might be better to let the apples, oranges and locomotives stay in the real world and, in the classroom, to focus on abstract equations, in this case 40 (t + 1) = 400 - 50t, where t is the travel time in hours of the second train. (The answer is below.)
“The motivation behind this research was to examine a very widespread belief about the teaching of mathematics, namely that teaching students multiple concrete examples will benefit learning,” said Jennifer A. Kaminski, a research scientist at the Center for Cognitive Science at Ohio State. “It was really just that, a belief.”
Dr. Kaminski and her colleagues Vladimir M. Sloutsky and Andrew F. Heckler did something relatively rare in education research: they performed a randomized, controlled experiment. Their results appear in Friday’s issue of the journal Science.
A few years ago, I signed on as a volunteer tutor at my local elementary. I was matched with a student — I'll call him Eddie — who was failing miserably at both the math and English portions of the TAAS (Texas Assessment of Academic Skills), a statewide minimal skills test that was the precursor to today's TAKS (Texas Assessment of Knowledge and Skills).
I took him on in math, it being the worst of all his subjects, and began a series of one-on-one weekly meetings. It soon became apparent that while Eddie's multiplication and division skills were very shaky, his ability to subtract once we got into double digits was no better. Asked to compute 25 minus 17, Eddie's eyes darted around the room looking for an escape hatch. There were too many numbers to count on his fingers.
Despite earning B averages in high school, at least one in 10 HOPE Scholarship recipients receives some type of remedial help during the first year of college.
Put simply, some college freshmen who seemed to excel in high school still need help in basic math and English.
Twelve percent of college freshmen who have the HOPE Scholarship, awarded to Georgia students who graduate from high school with at least a B average, received learning support in fall 2006, according to the University System of Georgia.
The reasons why run the gamut, with blame placed at the state level all the way down to the student.
"It's hard for me to say the causes of that," said Dana Tofig, a spokesman for the Georgia Department of Education.
But part of the reason for the state's continuing overhaul of the public schools' kindergarten through 12th grade curriculum is to get students out of remediation and make them more prepared for college work, he said.
"The curriculum">curriculum before was way too broad and way too vague," Tofig said.
Ignorance in the United States is not just bliss, it’s widespread. A recent survey of teenagers by the education advocacy group Common Core found that a quarter could not identify Adolf Hitler, a third did not know that the Bill of Rights guaranteed freedom of speech and religion, and fewer than half knew that the Civil War took place between 1850 and 1900.
"We have one of the highest dropout rates in the industrialized world," said Allan Golston, the president of U.S. programs for the Bill and Melinda Gates Foundation. In a discussion over lunch recently he described the situation as "actually pretty scary, alarming."
Roughly a third of all American high school students drop out. Another third graduate but are not prepared for the next stage of life — either productive work or some form of post-secondary education.
When two-thirds of all teenagers old enough to graduate from high school are incapable of mastering college-level work, the nation is doing something awfully wrong.
Mr. Golston noted that the performance of American students, when compared with their peers in other countries, tends to grow increasingly dismal as they move through the higher grades:
Thousands of Massachusetts public high school graduates arrive at college unprepared for even the most basic math and English classes, forcing them to take remedial courses that discourage many from staying in school, according to a statewide study released yesterday.
The problem is particularly acute in urban districts and vocational schools, according to the first-of-its kind study. At three high schools in Boston and two in Worcester, at least 70 percent of students were forced to take at least one remedial class because they scored poorly on a college placement test.
The study raises concern that the state’s public schools are not doing enough to prepare all of their students for college, despite years of overhauls and large infusions of money.
The findings are also worrisome because students who take remedial courses, which do not count toward a degree, are far more likely to drop out of college, often without the skills needed to land a good job. That has broad implications for the state’s workforce, economy, and social mobility.
The report, conducted jointly by the state Departments of Elementary and Secondary Education and Higher Education, found that the problem crossed socioeconomic lines. One third of high school graduates in suburban Hanover took remedial classes, as did 27 percent of graduates in Lynnfield and Needham.
“This is a statewide problem,” said Linda M. Noonan, managing director of the Massachusetts Business Alliance for Education, a nonprofit group that supports tougher educational standards to create a better workforce. "There's something systemic that we're not doing to get these kids ready to do college-level work."
High school administrators said they welcomed the new information, and pledged to use it to make the high school diploma a true sign of readiness for college.
"If you're a good district, this is information you want," said Paul Schlichtman, who coordinates research, testing, and assessment for the Lowell schools, where about half of graduates who went on to a state college or university in Massachusetts took remedial classes. "Your high school diploma needs to be a credential for a two- and four-year school, and it's something that we take very seriously."
The study tracked more than 19,000 students who graduated from public high schools in 2005 and attended an institution within the state's higher education system. Overall, it found that 37 percent of the graduates enrolled in at least one remedial course in their first semester in college. In many urban districts, a majority of the graduates studied took at least one remedial class their first year.
Among the roughly 8,500 students in the study who attended community colleges, nearly two-thirds took a remedial course. Many college administrators blame remedial courses for the high dropout rate at the state's two-year schools.
The results also cast doubt on the MCAS exams as a predictor of college readiness at a time when state education leaders are urging high schools to require a more rigorous course load to boost MCAS scores, as required under the federal No Child Left Behind law.
High school students who received special education instruction in high school, low-income and limited-English speaking students, and Hispanic and African-American students, were more likely to enroll in remedial classes, the study found.
The report marks the first time education researchers have detailed how public high school graduates from individual school districts perform in Massachusetts public colleges. State education officials distributed the reports last week to nearly 300 high schools across the state, and hope the information will spur improvements.
"We're hopeful high schools will regard this very seriously," said Paul Reville, chairman of the Board of Elementary and Secondary Education, who will take over as the state's education secretary in July. "This tells us that higher standards are necessary. We're not fully preparing students for non-remediated college work."
The report showed that students who barely pass the MCAS tests are far more likely to take college remedial classes. For example, half of students who scored a "needs improvement" on the 10th-grade MCAS math test were forced to take developmental math classes, as opposed to 20 percent who received the score "proficient."
In November, state education officials unanimously approved a recommended core high school curriculum in response to growing concerns about the number of students taking remedial classes. The recommended program includes four years of English, four years of math, three years of science, and three years of history.
Beginning this fall, students who do not reach the proficiency level on the English and math MCAS exams will be required to take more core classes and periodic tests to gauge their progress. Reville also said administrators have discussed giving high school seniors college placement tests.
Patricia F. Plummer, commissioner of the Department of Higher Education, said research has shown that students who take math and English in all four years of high school are far more likely to succeed in college.
"It's tremendously discouraging for them to be in college and not taking college-level work," she said. "And in terms of economic development, we can't afford to lose them."
More than ever, students need college education and training to compete for entry-level positions and launch a good career, Plummer said.
Education officials said they were encouraged by one finding: 80 percent of first-time, full-time students enrolled for a second year of college in 2006.
At Bunker Hill Community College, educators said the MCAS had not improved performance on college placement tests, and that some high school graduates show up woefully unprepared for basic college work.
"I haven't seen any significant change," said Deborah Barrett, the college's coordinator of student assessment. "It's very frustrating for students. They think that they've graduated from high school, they passed the MCAS, so they're ready for college."
Almost 90 percent of Bunker Hill students end up taking remedial math, and 63 percent take remedial English. Some graduates are writing at such a poor level that they must take the most introductory remedial class, she said. Only 20 percent of students complete their remedial work within two years, she said.
Educators and researchers said the study suggested that students who merely pass are not necessarily ready for college.
"The dirty little secret is that MCAS doesn't test 10th grade skills, much less college skills," said Robert Gaudet, an education researcher at the University of Massachusetts' Donahue Institute. "Passing is not that hard, it's getting to proficient that's tougher."
Cal State schools are a long way from their goal of seeing 90 percent of entering freshmen ready for college-level work.
Instead, 37 percent of freshmen entered a California State University campus last fall needing remedial math, while 46 percent were unprepared for college-level English, according to new data.
Locally, a quarter of freshmen at San Diego State University started school needing remedial math; 48 percent at Cal State San Marcos needed it. About one-third of SDSU freshmen were not proficient in English, compared with more than half at Cal State San Marcos.
The CSU system pours millions of dollars into outreach efforts aimed at making high schoolers more prepared for college, and it often bails them out with remedial classes when they're not. But the past seven years have produced only modest improvements in math among Cal State's 23 campuses, and there have been no changes in English.
Since last year, the math proficiency rate improved by less than half a percentage point, but the English rate slid by triple that amount.
Students are often sent to remedial courses when they don't demonstrate proficiency on a CSU place
The public schools, perhaps more than any other institution in American life, are afflicted with "sounds good" syndrome. Let's teach kids about the dangers of smoking. Sounds good. Let's improve math scores with a new curriculum called "whole math." Sounds good. Let's reduce teen pregnancy and sexually transmitted diseases by teaching sex ed. Sounds good. Let's have cooperative learning where kids help one another. And so on.
The Fairfax County, Va., schools (where my children attend) recently joined a nationwide "sounds good" trend by introducing a character education curriculum. Students were exhorted to demonstrate a number of ethical traits like (I quote from my son's elementary school's website) "compassion, respect, responsibility, honesty." It would be easy to mock the program -- each trait, for example, is linked to a shape (respect is a triangle, honesty is a star). The intention to help mold character is a laudable one. But this program, like so much else about the public schools in the "sounds good" era, has foundered.
The curriculum made news recently when a report ordered by the school board evaluated student conduct for "sound moral character and ethical judgment" and then grouped the results by race. Oh, dear. It seems that among third graders, 95 percent of white students received a grade of "good" or better, whereas only 86 percent of Hispanic kids did that well and only 80 percent of black and special education students were so rated.
Martina A. "Tina" Hone, an African-American member of the school board, told the Washington Post that the decision to aggregate the evaluations by race was "potentially damaging and hurtful."
The report's key recommendations include, for grades PreK-8, spending more time teaching fewer concepts and focusing more on basic skills critical to learning algebra such as whole numbers, fractions and aspects of geometry and measurement. "It has a lot of implications for math instruction not just in Utah but throughout the country," said Brenda Hales, Utah state associate superintendent.
This week, a month after the national panel released its findings, 10,000 math teachers from across the country and several panel members gathered in Salt Lake City and discussed the panel's recommendations as part of the annual math teachers' conference.
Some educators said they might not be able slow down and teach fewer topics more in-depth as the report recommends because states and the federal government require them to teach and test on a certain number of topics each year under No Child Left Behind.
"The Nation's Report Card" is going to start giving grades for Milwaukee Public Schools.
Milwaukee was named Thursday as one of seven urban school districts that will join the testing program of the National Assessment of Education Progress. NAEP is the closest thing to a nationwide testing program at levels below college admission tests. The government-funded organization that runs NAEP has trade-marked the "Nation's Report Card" label for the program.
There were no results for Milwaukee specifically in that round of testing, or in earlier tests that showed huge gaps in Wisconsin between white and black students in reading and math.
Nearly one-third of freshmen at Iowa's community colleges took at least one remedial course last fall, but an even larger percentage of the freshmen needed additional high-school-level instruction in one or more subject areas, a Des Moines Register survey has found.
The trend has educators frustrated and concerned.
While community colleges have long accepted that part of their role is to be a bridge between high schools and four-year colleges and universities, some community college advocates are becoming exasperated with the number of ill-prepared students arriving from high schools.
"I just think it's unfortunate that such a large percentage of students who arrive at our door are in need of additional remediation to come up to the college level," said M.J. Dolan, executive director of the Iowa Association of Community College Trustees.
The Register's survey of the community colleges found that 31.5 percent of incoming freshmen last fall took one or more remedial courses to improve their understanding of certain academic subjects.
rivulet: A small stream or brook. The ancient rivulet was conducted according to customs that were centuries old. The children enjoyed wading in the rivulet. The manuscript needed only minor rivulets before publication. A pleasant rivulet trickled through the fields.
firth: A narrow inlet or arm of the sea. (A firth may refer to any narrow arm of the sea or more particular to the opening of a river into the sea. Because the coast of Scotland is dotted with so many firths, the word has come to be associated with that country.) The soldier explored the firths that cut into the coastline. The young child was severely reprimanded for having committed the firth. After swimming across the firth, he was completely exhausted. The coast was cut with many narrow firths, which were ideal hideouts for smugglers.
You won’t find ten-year old children reciting Shakespeare soliloquies, acting out the Cuban Missile Crisis or performing Sophocles plays in most American classrooms today. But Albert Cullum’s elementary school students did all this and more. Combining interviews with Cullum and his former students with stunning archival footage filmed by director Robert Downey, Sr., A TOUCH OF GREATNESS documents the extraordinary work of this maverick public school teacher who embraced creativity, motivation and self-esteem in the classroom through the use of poetry, drama and imaginative play.
Regarded by academics as one of the most influential educators of the 1960s and ‘70s, Cullum championed what is, by today's standards, an unorthodox educational philosophy: the belief that the only way teachers can be successful with children is to speak directly to their hearts and to their instinctive and largely ignored capacity to quickly understand and identify with the great personalities, ideas and emotions found in classical literature. To that end, Cullum regularly taught his elementary school children literary masterpieces, exposed them to great works of art and engaged them in the events of world history. Without leaving the classroom, his students visited King Tut's tomb, attended joint sessions of the U.S. Congress, operated on “bleeding” nouns in his "grammar hospital," and clamored to play the timeless roles of Julius Caesar, Lady Macbeth and Hamlet.
When Cullum was an elementary school teacher in the New York City suburbs during the 1960s, his friend Robert Downey helped film several student plays and classroom events. In A TOUCH OF GREATNESS, these lush black and white films, with original music created by Tom O'Horgan, capture the work of this radical teacher and his students’ love of learning.
Computing is essentially math on steroids. So, at first glance, it would seem no surprise that the recent report by the National Mathematics Advisory Panel would include computer-based instruction among its recommendations to address the “mediocre level” of math achievement by American students.
But the champions of computing in the classroom have hailed the math panel report as an encouraging win for their side. It suggests, they say, that computing should be seen as a valuable tool in mainstream education, like math and science, in kindergarten through high school curriculums.
“There is a real battle going on to determine the role that computing is going to play in K-12 education,” observed Robert B. Schnabel, a computer scientist at Indiana University, who is chairman of the Association for Computing Machinery’s education policy committee. “Is it going to be integrated into math and science curriculums or is it going to be more like shop?”
Why do some countries, like Singapore, Korea, and the Czech Republic, do so much better than the United States in math? I've heard all sorts of reasons; diversity and poverty top the list. But after some 15 years conducting international research, I am convinced that it's the diversity and poverty of U.S. math standards—not the diversity and poverty of U.S. students—that are to blame.
The single most important result of the Third International Mathematics and Science Study (TIMSS) is that we now know that student performance is directly related to the nature of the curricular expectations. I do not mean the instructional practices. I mean the nature of what it is that children are to learn within schools. (In the U.S., the curricular expectations are usually referred to as standards; in other countries they are known by various names.) After all, what is more central to schooling than those things we, as a society, have chosen to pass on to our children?
The TIMSS research has revealed that there are three aspects of math expectations, or standards, that are really important: focus, rigor, and coherence. Let's take a brief look at each.
Talk with Terry Millar long enough and it’s bound to happen: The mathematics professor will begin drilling you in math. He’ll slip in a question such as “What is pi?” and before you know it you’re being coached to a whole new level of mathematical understanding.
Linda McQuillen refers to it as having Millar “attend to her mathematics” and as his long-time collaborator she’s well acquainted with the experience.
“Traveling with him [to meetings] and when we’d do presentations for various audiences, on the cab rides to and from the airport, we were always doing mathematics,” laughs McQuillen, a retired math teacher and a former leader of the Madison school district’s math goals. “The problem is, Terry can do it verbally and I can’t. He’s just amazing.”
If Millar’s enthusiasm for teaching math can be overwhelming, it’s also true he has put the energy to good use. For well over a decade, Millar has worked to improve math and science instruction for students at all levels by bringing together the knowledge of university mathematicians and scientists with the teaching and curricular expertise of educators.
Like other forward-looking organizations, the American Federation of Teachers believes that we need to have better state standards if we are truly going to improve K-12 education. I’ve earnestly stated that same view. That’s no doubt why I’ve been invited to write on this subject.
I’m genuinely flattered. But after living with this question for more than two decades, my views have become so definite (some might say extreme) that I decided to conceive of this piece as a guest editorial where no one should think I am speaking for anyone but myself. That will allow me to speak my mind, which will I hope be more useful to readers than an attempt to find and express a consensus view on behalf of American Educator and the AFT on this controversial subject.
E. D. Hirsch, Jr., is professor emeritus at the University of Virginia and author of many articles and books, including the bestselling Cultural Literacy and The Schools We Need. He is a fellow of the Academy of Arts and Sciences and founder of the Core Knowledge Foundation. His most recent book is The Knowledge Deficit: Closing the Shocking Education Gap for American Children.
The subject is controversial in part because some teachers do not like explicit subject-matter standards. In my own state of Virginia, some teachers are quite annoyed with me personally because many years back my writings influenced the Virginia Board of Education when they introduced the “Virginia Standards of Learning”—the much debated, often dreaded SoLs. But let me say to those teachers, and to other teachers, that the state did not pay attention to what my colleagues and I said back in 1988. We said that subject-matter standards and tests of them should be just two prongs of a four-pronged policy. Standards and tests needed to be accompanied by good teacher training in the subject matter specified in the standards and by good classroom materials that clearly indicate what to teach, but not how to teach it. The last two prongs have never come properly into existence in Virginia, nor to my knowledge in any other state. Moreover, the Virginia standards (not to mention the tests) are not nearly as good as they should be. other state standards are even worse. No wonder there is such dissatisfaction!
But many teachers I have talked to have agreed that they would very much prefer to work in a more coherent system, one that ensured that students who entered their classrooms were adequately prepared.
It's the second week of school, and Phil Farmer's pre-algebra class at Diablo Valley College already has empty seats.
His roll call brings silence after several names. Call it a result of the January rain, or even of the agonizing early semester parking space hunt, but definitely call it a problem.
Statistically, it's safe to say that only 30 percent to 40 percent of Farmer's students will advance to basic algebra.
Community colleges nationwide labor under the weight of ill-prepared students. Some colleges estimate that nearly every student is unprepared in math, reading or writing -- or all three.
Consider the sheer magnitude of California's problem:
Nearly 670,000 California college students were enrolled in basic English and math courses last year, with additional students in remedial reading courses and English-as-a-second-language classes. It's estimated that far more students need remedial work but don't enroll, and half the remedial and second-language students leave school after their first year.
One in 10 students at the lowest remedial levels -- community colleges sometimes have up to five courses below the lowest college-level course -- reaches a college-level course in that subject. The numbers are worse for black and Latino students.
Nearly three-quarters of the students who take placement tests are directed to remedial math courses, compared with 9 percent being placed in college-level courses.
In November 2006, Jack Li's father, a longtime Caterpillar employee in Beijing, was transferred to Peoria, Ill. Jack enrolled in high school as a ninth-grader. His parents, good friends of mine for almost a decade, weren't particularly worried about their son adapting to a new school in a foreign country -- at least not academically. They believed that China has better K-12 education than the U.S.
Jack didn't disappoint them: Three months later, he scored high enough on the SATs to put him in the top 3% in math and well above-average in writing and reading. Last fall, he transferred to Illinois Mathematics and Science Academy, a college-prep program for Illinois students. He took advanced chemistry last semester and will study basic calculus next semester.
Chinese students like Jack are examples of why Microsoft's Bill Gates asked Congress today to spend more to improve American education in math and science. Unless more students can be attracted to those subjects, Mr. Gates warned, the U.S.'s competitive advantage will erode and its ability to create high-paying jobs will suffer.
I know many Americans don't believe him. They argue that American kids may not be as good at math and science as Chinese and Indian kids, but they're more well-rounded. But that's increasingly untrue. For example, Jack isn't your stereotypical Chinese nerd. He's the captain of IMSA's sophomore basketball team and tried out for the tennis team today.
Because their educators waste time on crap like this:To soothe the bruised egos of educators and children in lackluster schools, Massachusetts officials are now pushing for kinder, gentler euphemisms for failure.
Instead of calling these schools "underperforming," the Board of Education is considering labeling them as "Commonwealth priority," to avoid poisoning teacher and student morale.
Schools in the direst straits, now known as "chronically underperforming," would get the more urgent but still vague label of "priority one."
The board has spent parts of more than three meetings in recent months debating the linguistic merits and tone set by the terms after a handful of superintendents from across the state complained that the label underperforming unfairly casts blame on educators, hinders the recruitment of talented teachers, and erodes students' self-esteem.
The eternal language of numbers is reborn as a form of communication that people all over the world can use—and, increasingly, must use
BRILLIANCE with numbers is a curious thing. Paul Erdos, a Hungarian who died in 1996, used to travel the world and stop briefly at the offices and homes of fellow mathematicians. “My brain is open,” he would announce as, with uncanny intuition, he suggested a problem that, without realising it, his host was already half-way to solving. Together they would find the solution.
In a discipline-wide joke, grateful mathematicians still use “Erdos numbers” to indicate how close they were to contact with the great man: “Erdos 1” describes his co-authors, “Erdos 2” indicates their co-authors, and so on. And in all seriousness, the fruits of Erdos's 83-year life include more than 1,500 jointly authored publications, and a network that extends via his collaborators not only into most areas of mathematics but into many other fields—physics, biology, linguistics and more.
The British mathematician J. E. Littlewood once began a math class for freshmen with the following statement: "I've been giving this lecture to first-year classes for over twenty-five years. You'd think they would begin to understand it by now."
People involved in the debate about how math is best taught in grades K-12, must feel a bit like Littlewood in front of yet another first year class. Every year as objectionable math programs are introduced into schools, parents are alarmed at what isn't being taught. The new "first-year class" of parents is then indoctrinated into what has come to be known as the math wars as the veterans - mathematicians, frustrated teachers, experienced parents, and pundits - start the laborious process of explanation once more.
It was therefore a watershed event when the President's National Mathematics Advisory Panel (NMP) held its final meeting on March 13, 2008 and voted unanimously to approve its report: Foundations for Success: The Final Report of the National Mathematics Advisory Panel.
Failure is not an option in Linda Jarzyniecki's math classes. If Jarzyniecki needs to give a pep talk or threaten to call parents to get the job done, then so be it.
"Students come into my class hesitantly," says Jarzyniecki (Jar-za-NEEKY), or "Mrs. J.," who teaches advanced algebra, trigonometry and calculus at Greenville High. "I want to challenge my students, but I want them to experience some success so they don't become discouraged and they remain in mathematics."
Mrs. J. faces challenging demographics. Greenville High is a school with about 750 students in a rural central Alabama town of about 8,000. The median income for a family of four is about $25,000 a year, according to Census figures, and 69% of the students qualify for free or reduced-price lunch.
"Despite the high poverty rate our children live with, many students are diligent, industrious young people who have a goal to complete a two- or four-year college or technical school," she says. But they often feel pressure to work to help support the family.
The National Mathematics Advisory Panel was convened by President Bush in April 2006 to address concerns that many of today's students lack the math know-how needed to become tomorrow's engineers and scientists. The 24-member panel of mathematicians and education experts announced recommendations to improve instruction and make better textbooks and even called on researchers to find ways to combat "mathematics anxiety."
Larry R. Faulkner, panel chairman and former president of the University of Texas at Austin, said the country needs to make changes to stay competitive in an increasingly global economy. He noted that many U.S. companies draw skilled workers from overseas, a pool he said is drying out as opportunities in other countries improve.
"The question is, are we going to be able to get the talent?" Faulkner said in a briefing before the report's release. "And it's not just a question of economic competitiveness. In the end, it's a question of whether, as a nation, we have enough technical prowess to assure our own security."
In 2005, just 45% of the fifth-graders at Ramona Elementary School in Hollywood scored at grade level on a standardized state test. In 2006, that figure rose to 76%. What was the difference?
If you answered 31 percentage points, you are correct. You could also express it as a 69% increase.
But there is another, more intriguing answer: The difference between the two years may have been Singapore math.
At the start of the 2005-06 school year, Ramona began using textbooks developed for use in Singapore, a Southeast Asian city-state whose pupils consistently rank No. 1 in international math comparisons. Ramona's math scores soared.
"It's wonderful," said Principal Susan Arcaris. "Seven out of 10 of the students in our school are proficient or better in math, and that's pretty startling when you consider that this is an inner-city, Title 1 school."
Ramona easily qualifies for federal Title 1 funds, which are intended to alleviate the effects of poverty. Nine of every 10 students at the school are eligible for free or reduced-price lunches. For the most part, these are the children of immigrants, the majority from Central America, some from Armenia. Nearly six in 10 students speak English as a second language.
This month, I want to use this forum to publicize a report that came out last fall with solid advice for how to improve our schools. As we think about K-12 mathematics education, as we engage in the debate of what should succeed No Child Left Behind, I believe that this report provides a useful, research-based framework in which to situate that debate. And I believe that this report has implications for how we think about mathematics teaching in our colleges and universities, a topic to which I shall return in later columns.
The report in question was issued by McKinsey & Company in September, 2007, How the world’s best-performing school systems come out on top [1]. Their procedure was straight-forward. They took the ten top-performing countries according to the OECD’s Programme for International Student Assessment (PISA): Australia, Belgium, Canada, Finland, Hong Kong, Japan, Netherlands, New Zealand, Singapore, and South Korea, and asked what practices are common among them. They tested their conclusions by comparing these practices with those in the US school systems that have seen the most dramatic increase in National Assessment of Educational Progress (NAEP) or TIMSS scores or have been consistent finalists for the Broad Prize for Urban Education. These school systems are Atlanta, Boston, Chicago, New York, and Ohio.
None of their conclusions should be surprising. The three practices that they identified are on most people’s lists of what they would like to see. What is eye-opening is how effective these practices can be and how important it is to focus on them. In my own paraphrase, they are
Recruit teachers from among the most highly literate and numerate college students.
Support teachers with continual coaching, peer-mentoring, and professional development.
Have clear standards for system performance, intervene quickly and effectively when problems arise, and allocate resources so that those with the greatest need get the most support.
In a recent class at Abraham Clark High School in Roselle, N.J., business teacher Barbara Govahn distributed glossy classroom materials that invited students to think about what they want to be when they grow up. Eighteen career paths were profiled, including a writer, a magician, a town mayor -- and five employees from accounting giant Deloitte LLP.
"Consider a career you may never have imagined," the book suggests. "Working as a professional auditor."
The curriculum, provided free to the public school by a nonprofit arm of Deloitte, aims to persuade students to join the company's ranks. One 18-year-old senior in Ms. Govahn's class, Hipolito Rivera, says the company-sponsored lesson drove home how professionals in all fields need accountants. "They make it sound pretty good," he says.
Deloitte and other corporations are reaching out to classrooms -- drafting curricula while also conveying the benefits of working for the sponsor companies. Hoping to create a pipeline of workers far into the future, these corporations furnish free lesson plans and may also underwrite classroom materials, computers or training seminars for teachers.
The programs represent a new dimension of the business world's influence in public schools. Companies such as McDonald's Corp. and Yum Brands Inc.'s Pizza Hut have long attempted to use school promotions to turn students into customers. The latest initiatives would turn them into employees.
Here in Massachusetts these days, we are hearing more and more from the Governor and educators about “The Whole Child.” They say we should be sure, in our schools, not to get distracted from a focus, in a holistic way, on the whole child.
I have heard about this “whole child,” but I have yet to have anyone explain what that could mean. I know that it has been said, of boys, for instance, that they are made of “snakes and snails and puppy dogs’ tails,” and of girls, that they are mostly “sugar and spice and everything nice,” but I can’t believe that completes the inventory.
Each student may be considered from a neuro-psychological, socio-economic, philosophical, dental, muscular-skeletal, ethnic, spiritual, academic, motivational, personality configuration, family, allergic, drug-resistant, blood-type, intellectual, gastrointestinal and athletic point of view, among a large group of other perspectives.
This raises the question of what parts of the whole child the school might be best qualified and equipped to work with? Surely no imaginable set of teachers, nurses, hall monitors, principals, bus drivers, coaches, and so on can deal with all the various characteristics of each human being who comes as a student to their school.
It would appear that a school and its staff might have to choose which aspects of the whole child should be their focus. In recent decades, self-esteem, tolerance, social consciousness, respect for differences, and environmental awareness have taken up a good deal of time in the schools. Perhaps as a consequence, our students tend to be in-numerate and a-literate. The Boston Globe reports today that: “37 percent of public high school graduates who enter public higher education may not be ready.”
In addition, our students, when compared with students taught abroad, often perform below average on international examinations of their academic fitness.
Some educators, who may not have been all that academically inclined themselves in school, and who have experienced a focus in their graduate education programs on social justice, self-esteem, diversity training, environmental awareness and so on, find that they really do not know enough history, mathematics, science, literature, foreign languages and so on to teach them very well, and they may want to fall back on the sort of thing they studied at their schools of education and offer that to their students instead.
When confronted with those, such as parents, who would like them to teach students history, mathematics, science, literature, foreign languages, academic expository writing and the like, many educators defend themselves by claiming that they cannot focus so much on academics because they have a holistic interest in the whole child.
As it turns out, our society has people who can help them with this unwieldy burden. There are priests, rabbis, ministers, rishis and others who can help with young people's spiritual needs. There are medical professionals who can help students with their physical and mental health problems. There are activist organizations of many kinds to help them with social justice and environmental concerns. And there are many other social organizations, not excluding families, who can relieve our educators of the need they feel to “address” the whole child.
Happily this allows educators to return to their original and traditional mission of teaching our students knowledge and academic skills, such as reading, writing and calculating. With the extra time available to them, now that they no longer have to worry about improving every aspect of their students’ lives, they can do much more to see that their students may enter college with the academic readiness they will need to survive there, and to enter the workforce with the literacy and numeracy skills so many employers have been begging for.
It may be a wrench to give up the ambitious project of holistically taking on the whole child, with their multiple intelligences and so many other characteristics, but a new focus on academic work may, by itself, help to reduce the contempt in which so many of our schools and educators are now held by the nation whose young people they could be serving so much better.
"Teach by Example"
Will Fitzhugh [founder]
Consortium for Varsity Academics® [2007]
The Concord Review [1987]
Ralph Waldo Emerson Prizes [1995]
National Writing Board [1998]
TCR Institute [2002]
730 Boston Post Road, Suite 24
Sudbury, Massachusetts 01776 USA
978-443-0022; 800-331-5007 www.tcr.org; fitzhugh@tcr.org
Varsity Academics®
The results of the PISA survey (http://www.jyu.fi/ktl/pisa/) have brought about satisfaction and pride in Finland. Newspapers and media have advertised that Finnish compulsory school leavers are top experts in mathematics.
However, mathematics teachers in universities and polytechnics are worried, as in fact the mathematical knowledge of new students has declined dramatically. As an example of this one could take the extensive TIMSS 1999 survey, in which Finnish students were below the average in geometry and algebra. As another example, in order not to fail an unreasonably large amount of students in the matriculation exams, recently the board has been forced to lower the cut-off point alarmingly. Some years, 6 points out of 60 have been enough for passing.
This conflict can be explained by pointing out that the PISA survey measured only everyday mathematical knowledge, something which could be - and in the English version of the survey report explicitly is - called "mathematical literacy"; the kind of mathematics which is needed in high-school or vocational studies was not part of the survey. No doubt, everyday mathematical skills are valuable, but by no means enough.
Basic school teacher Antero Lahti expressed (HS 28.2.) the opinion that the concern of over 200 university teachers for the mathematics teaching (HS 17.2.) were merely academic criticism.
In fact, about one half of those signing are teachers at polytechnics (universities of applied sciences) and technical universities. They do not teach "academic" mathematics but mathematics needed in technical practice and engineering sciences. Over 12 000 students start engineering studies yearly.
The mathematics skills of new engineering students have been systematically tested during years 1999-2004 at Turku polytechnic using 20 mathematical problems. One example of poor knowledge of mathematics is the fact that only 35 percent of the 2400 tested students have been able to do an elementary problem where a fraction is subtracted from another fraction and the difference is divided by an integer.
If one does not know how to handle fractions, one is not able to know algebra, which uses the same mathematical rules. Algebra is a very important field of mathematics in engineering studies. It was not properly tested in the PISA study. Finnish basic school pupils have not done well in many comparative tests in algebra (IEA 1981, Kassel 1994-96, TIMSS 1999).
Mrs. Potter grabbed a chunky stack of flashcards, stood in front of the classroom and flipped through them every day when I was in second grade: 6 + 6 = blank, 7 + 3 = blank, 5 + 6 = blank. In unison, we responded 12, 10, 11. Our robotic pace slowed a bit when she held up subtraction cards.
That’s so old school.
The triangles my second-grade son brought home from school this year have plus and minus signs in the middle, with one number on each point. Students learn number families. For example, on a triangle of 6, 8 and 14 students see that 6 + 8, 8 + 6, 14 – 6 and 14 – 8 are all related.
Math triangles are part of the reform math curricula taught in more than one quarter of the nation’s schools. (See article “Math Wars” for a history of U.S. math education.) Seattle’s public elementary and middle schools teach reform math. This month the Seattle School Board will hear a recommendation for a new high school math curriculum that will be reform based. A key feature of this type of instruction is an emphasis on concepts, as opposed to computations.
In a traditional classroom, solving 89 + 21 involves lining the numbers up, carrying the one and arriving at 110 as the answer. Students learning reform math would think about the problem and reorganize it in several ways: 80 + 20 + 10, or 80 + 30, or 90 + 20. Same answer, different method.
Madison United for Academic Excellence meeting on MMSD Math
The Madison United for Academic Excellence (MUAE) meeting of 21 February 2008 offered a question and answer session with Welda Simousek, TAG coordinator, Lisa Wachtel, Director of Teaching and Learning, and Brian Sniff, Math Coordinator, each of MMSD.
The video of the meeting is about 1 hours and 30 minutes long, but does not include the last 15 minutes of a spirited discussion. Click on the image at left to watch the video. The video will play immediately, while the file continues to download.
The topics covered during remarks and the question and answer sessions are
Middle School Math Assessment
Math Task Force
Teacher Certifications in Math
Connected Math Curriculum in Middle Schools
High School Math Curriculum and variations among schools
The slide materials for Lisa's and Brian's presentation are included in Powerpoint format and PDF format. (Thanks to Brian for sending).
NB: The last slides discussed during this meeting are slides numbered 15 and 16 (Math Physics, Math Chemistry, respectively). These latter slides prompted the spirited discussion mentioned above, but is not part of the video. Slides 17-19 were neither discussed nor displayed.
Greg Barlow, an Air Force officer in the defense secretary's office at the Pentagon, was helping his 8-year-old son, Christian, one recent night with a vexing problem: What is 674 plus 249?
The Prince William County third-grader did not stack the numbers and carry digits from one column to the next, the way generations have learned. Applying lessons from his school's new math textbook, "Investigations in Number, Data, and Space," Christian tried breaking the problem into easier-to-digest numbers.
But after several seconds, he got stumped. He drew lines connecting digits, and his computation amounted to an upside-down pyramid with numbers at the bottom. His father, in a teacherly tone, nudged him toward the old-fashioned method. "How would you do that another way?" Barlow asked.
In Prince William and elsewhere in the country, a math textbook series has fomented upheaval among some parents and teachers who say its methods are convoluted and fail to help children master basic math skills and facts. Educators who favor the series say it helps young students learn math in a deeper way as they prepare for the rigors of algebra.
The debate over "Investigations in Number, Data, and Space," a Pearson School series used in thousands of elementary classrooms, including some in Arlington, Fairfax, Loudoun and Howard counties, is one of the newer fronts in the math wars. Such battles over textbooks and teaching methods are fueled in part by the anxieties of parents who often feel powerless over their children's education, especially in subjects they know.
The curriculum, introduced in the 1990s and updated in a second edition issued last fall, offers one answer to the nation's increasingly urgent quest for stronger elementary math education. The nonprofit organization TERC, based in Cambridge, Mass., developed "Investigations" with support from the National Science Foundation.
Consider the eighth-grade NAEP results from Massachusetts, which are a stunning exception to the nationwide pattern of stagnation and decline. Since 1998, the state has improved significantly in the number of eighth-graders reading at the "proficient" or "advanced" levels: Massachusetts now has the largest percentage of students reading at that higher level, and it is No. 1 in average scores for the eighth grade. That is because Massachusetts decided in 1997 that students (and teachers) should learn certain explicit, substantive things about history, science and literature, and that students should be tested on such knowledge.
E.D. Hirsch Jr. is an author, most recently of "The Knowledge Deficit," and chairman of the Core Knowledge Foundation.
Rather politically incorrect, but certainly on point with respect to fuzzy math. I continue to find to be amazed at the number of high school kids who cannot make change. Via instapundit.
Bob Compton may be wrong about American students losing out to our hard-working Indian and Chinese competitors, but he is astonishingly sincere in his views. Even if his country doesn't react to the international threat, he will. He has hired special tutors for his daughters, even though they already have top grades at a premier private school.
Compton, 52, is a high-tech entrepreneur and investor based in Memphis. His documentary film, "Two Million Minutes," has become a key part of a campaign known as ED in '08, which aims to push the next president toward big changes in U.S. schools. Compton and the ED in '08 backers, including billionaire Bill Gates, support the growing movement for more instructional and study time. Compton's message is that American kids are wasting much of their four years of high school--about 2 million minutes--on sports and jobs and television while Chinese and Indians are studying, studying some more and then checking in with their tutors to see what they still need to study.
I am not friendly to Compton's argument. I think the Chinese and Indian threat to the American economy is a myth. I have been convinced by economists who argue that the more prosperous they are, the more prosperous we are, since they will have more money to buy our stuff. I also believe that prosperity in previously troubled countries such as China and India promotes democracy and peace.
I do, however, like Compton a lot, and agree with him that our high schools need to be much better--not in order to beat the international competition but to end the shame of having millions of low-income students not getting the education they deserve. I admire a dad who applies his arguments to his own life in ways I never would. He is significantly increasing the amount of time his children are devoting to their studies, whether they like it or not.
an attempt to create science and engineering interest in middle school students. Ballard said that if we've not generated such interest by the 8th grade, it is too late.
Congress erred big-time when NCLB assigned each state to set its own standards and devise and score its own tests … this study underscores the folly of a big modern nation, worried about its global competitiveness, nodding with approval as Wisconsin sets its eighth-grade reading passing level at the 14th percentile while South Carolina sets its at the 71st percentile.
It wasn’t just the slate and pencil on every desk, or the absence of daily beatings. As Horace Mann sat in a Leipzig classroom in the summer of 1843, it was the entire Prussian system of schools that impressed him. Mann was six years into the work as Massachusetts secretary of education that would earn him lasting fame as the “father of public education.” He had sailed from Boston to England several weeks earlier with his new wife, combining a European honeymoon with educational fact-finding. In England, the couple had been startled by the luxury and refinement of the upper classes, which exceeded anything they had seen in America and stood in stark contrast to the poverty and ignorance of the masses. If the United States was to avoid this awful chasm and the social upheaval it seemed sure to create, he thought, education was the answer. Now he was seeing firsthand the Prussian schools that were the talk of reformers on both sides of the Atlantic.
In Massachusetts, Mann’s vision of “common schools,” publicly funded and attended by all, represented an inspiring democratic advance over the state’s hodgepodge of privately funded and charity schools. But beyond using the bully pulpit, Mann had little power to make his vision a reality. Prussia, by contrast, had a system designed from the center. School attendance was compulsory. Teachers were trained at national institutes with the same care that went into training military officers. Their enthusiasm for their subjects was contagious, and their devotion to students evoked reciprocal affection and respect, making Boston’s routine resort to classroom whippings seem barbaric.
Mann also admired Prussia’s rigorous national curriculum and tests. The results spoke for themselves: illiteracy had been vanquished. To be sure, Prussian schools sought to create obedient subjects of the kaiser—hardly Mann’s aim. Yet the lessons were undeniable, and Mann returned home determined to share what he had seen. In the seventh of his legendary “Annual Reports” on education to the Commonwealth of Massachusetts, he touted the benefits of a national system and cautioned against the “calamities which result … from leaving this most important of all the functions of a government to chance.”
Mann’s epiphany that summer put him on the wrong side of America’s tradition of radical localism when it came to schools. And although his efforts in the years that followed made Massachusetts a model for taxpayer-funded schools and state-sponsored teacher training, the obsession with local control—not incidentally, an almost uniquely American obsession—still dominates U.S. education to this day. For much of the 150 or so years between Mann’s era and now, the system served us adequately: during that time, we extended more schooling to more people than any nation had before and rose to superpower status. But let’s look at what local control gives us today, in the “flat” world in which our students will have to compete.
The United States spends more than nearly every other nation on schools, but out of 29 developed countries in a 2003 assessment, we ranked 24th in math and in problem-solving, 18th in science, and 15th in reading. Half of all black and Latino students in the U.S. don’t graduate on time (or ever) from high school. As of 2005, about 70 percent of eighth-graders were not proficient in reading. By the end of eighth grade, what passes for a math curriculum in America is two years behind that of other countries.
Dismal fact after dismal fact; by now, they are hardly news. But in the 25 years since the landmark report A Nation at Risk sounded the alarm about our educational mediocrity, America’s response has been scattershot and ineffective, orchestrated mainly by some 15,000 school districts acting alone, with help more recently from the states. It’s as if after Pearl Harbor, FDR had suggested we prepare for war through the uncoordinated efforts of thousands of small factories; they’d know what kinds of planes and tanks were needed, right?
When you look at what local control of education has wrought, the conclusion is inescapable: we must carry Mann’s insights to their logical end and nationalize our schools, to some degree. But before delving into the details of why and how, let’s back up for a moment and consider what brought us to this pass.
Milwaukee Public Schools is hiring more than 200 new teachers and undertaking more than $16 million in new spending for the second semester, with the goals of improving students' reading and math abilities and improving high school programs.
Frequently using the phrase "a sense of urgency," Superintendent William Andrekopoulos said this week that the unusual midyear shakeup in the status quo in many MPS schools is causing stresses in some parts of the system and on many adults but will benefit children.
Speaking about a new program to teach reading to older students who are reading poorly, he said: "We've done something we haven't done before, create a sense of urgency around improving children's reading. . . . Sometimes, if that makes people uncomfortable, so be it."
The initiatives are clearly stretching the capacity of the system, from the central office, which is scrambling to hire teachers, to individual schools, where sometimes major changes in schedules are being made at midyear and with short deadlines for implementation.
In part because of the new programs, MPS has an unusual number of teaching positions available - 397 such openings were listed on the system's Web site as of Monday, the most recent update. That equals about 7% of all teaching jobs in the district. Andrekopoulos said that without the new jobs included, the total openings would not be so unusual for this time of year.
Matthew Michael Wage, 17, of Appleton, submitted an Intel Science Talent Search mathematics project that extended earlier results on arithmetic functions. The starting point for Matt's project in number theory is Lehmer's Conjecture, still open, that an arithmetic function defined by Ramanujan, the tau-function, is nonzero at each natural number n. Murty, Murty and Shorey showed that tau takes on any given value only finitely often. Matt extends this result to a wider class of arithmetic functions, sometimes at the cost of adding restrictions to the choice of n. Matt attends Appleton High School East where he is active in varsity football, varsity tennis and the ping pong club. Matt has won regional competitions in math, and his volunteer efforts as a coach helped the school's math team earn the top rank in the state. He also enjoys playing chess, bridge and guitar. Matt's quest for understanding the world around him has fueled his passion to learn everything from ideal gas laws to the propaganda genius of Genghis Khan. The son of Michael Wage and Kathy Vogel, Matt plans to study mathematics and medicine and pursue a career as a physician or mathematician.
A group of Prince William County parents is mounting a campaign to repeal a new elementary school math curriculum, using an Internet discussion group and an online petition to gather support and fuel criticism.
The group, whose members include parents from such elementary schools as Westridge, Ashland and Springwoods as well as teachers from various schools, plans to present the Prince William County School Board in February with its petition, which has about 500 names. Parents in the group, whose Web site ( http://www.pwcteachmathright.com) lists several of their complaints, say that the Investigations curriculum is putting their children behind grade level and is too convoluted.
The group's formation comes right after the school system presented a year-long study of the curriculum that showed 80 percent of second-graders and 70 percent of first-graders are proficient on all 10 subtests of the Stanford Diagnostic Mathematics Test. The school system wants to continue studying the program and incorporate data from student performance on the state Standards of Learning exams.
School Board member Julie C. Lucas (Neabsco) said in an interview that she wants to examine the program inside a classroom to assess its effectiveness. She added that she has been hearing positive reviews from at least one principal in her district but that she wants to withhold making public comments until she visits schools.
The Investigations program has been undergoing a phased-in implementation since the School Board adopted its materials in 2006. In the 2006-07 academic year, kindergarten through second grade started the program; this year, third-graders began it; and next year, fourth-graders will use the material.
Investigations teaches children new ways of learning mathematics and solving problems. For instance, a student may not need to learn how to add 37 and 23 by stacking the figures on top of each other, and carrying the numbers. They may learn to add up the tens and then combine the seven and three to arrive at 60.
Why this website?
...Because our children - ALL children - deserve a quality mathematics education in PWCS!!
In 2006 PWCS directed mandatory implementation of the elementary school mathematics curriculum TERC - "Investigations in Number, Data, and Space" in all PWCS elementary schools. The traditional, proven, successful mathematics program was abandoned for a "discovery learning" program that has a record of failure across the country.
Of all the VA Department of Education approved elementary math text/materials, "Investigations" least adequately supports the VA Standards of Learning. Yet it was somehow "the right choice" for PWCS children. Parents of 2nd and 3d graders are already realizing the negative impact of this program in only a year and a half's worth of "Investigations." Children subjected to this program end up two years behind where they should be in mathematics fluency and competency by the end of 5th grade. PWCS is committed to experimenting with our children's future. We think our children and our tax dollars deserve better.
Math 234 at the University of Wisconsin Madison for High School Students
Via Ted Widerski's email:
The UW Math dept has decided to offer a section of Math 234 (3rd semester Calculus) at 7:45 am in the fall of 2008. This course will be taught by Professor Andreas Seeger and will meet at 7:45 - 8:35 on MWF for 3 credits. The UW has chosen this time as being somewhat convenient for high school students, as many students can take this course and return to their high school in time for 2nd period.
Madison Schools have 26 students in grades 11 or below that will be completing Calculus II this year. Combined with students in neighboring school districts, there is a possibility that a large percentage of the class will be made of area high school students.
For those students that plan to elect this course, each District has a deadline for accessing the Youth Options [Clusty | Google] program. In Madison, that deadline is March 1. Therefore, I would encourage you to speak with students and parents in your building and make them aware of this opportunity. Also, please pass on this info to other key people in your building such as guidance counselors, math department chairs and Calculus teachers.
If you have questions or concerns, feel free to contact me.
Ted Widerski
Talented and Gifted Resource Teacher
Madison Metropolitan School District
545 W Dayton Street
Madison, WI 53703
(608)442-2152
A good education requires balance. Students should learn to appreciate a variety of cultures, sure, but they also need to know how to add, subtract, multiply, and divide. Judging from the courses that the nation’s leading education colleges offer, however, balance isn’t a goal. The schools place far more emphasis on the political and social ends of education than on the fundamentals.
To determine just how unbalanced teacher preparation is at ed schools, we counted the number of course titles and descriptions that contained the words “multiculturalism,” “diversity,” “inclusion,” and variants thereof, and then compared those with the number that used variants of the word “math.” We then computed a “multiculturalism-to-math ratio”—a rough indicator of the relative importance of social goals to academic skills in ed schools. A ratio of greater than 1 indicates a greater emphasis on multiculturalism; a ratio of less than 1 means that math courses predominate. Our survey covered the nation’s top 50 education programs as ranked by U.S. News and World Report, as well as programs at flagship state universities that weren’t among the top 50—a total of 71 education schools.
The average ed school, we found, has a multiculturalism-to-math ratio of 1.82, meaning that it offers 82 percent more courses featuring social goals than featuring math. At Harvard and Stanford, the ratio is about 2: almost twice as many courses are social as mathematical. At the University of Minnesota, the ratio is higher than 12. And at UCLA, a whopping 47 course titles and descriptions contain the word “multiculturalism” or “diversity,” while only three contain the word “math,” giving it a ratio of almost 16.
If mathematics is like a foreign language, then those who teach the subject ought to be fluent.
That is the goal of an intensive pilot program by the Silicon Valley Leadership Group and Intel that aims to improve the math skills of students in underperforming Bay Area elementary and middle schools.
Helping students means helping their teachers first - and that includes some veteran educators.
Take Marivic Walch of Bishop Elementary School in Sunnyvale, who has been teaching for seven years and describes herself as a "math queen."
"I had many aha moments," she said.
Modeled after a successful program in Vermont, the 80-hour pilot course taught 38 Bay Area teachers in the past four months how to improve their skills from basic math all the way to algebra. The program is set to expand in 2008, more than doubling its scope, training 100 teachers in 20 schools in San Jose, Gilroy, Redwood City, Foster City, Newark and San Francisco.
"The idea is to turn this into a fluency training in the language of math," said Mark Pettinger, external affairs manager for Intel. "This is meant for teachers who are good teachers."
Our nation's classrooms no longer emphasize substantive expository and persuasive writing built upon strong foundational knowledge. This dumbing down of students' writing and reading is one of the main reasons that students are not ready for college after graduating from our high schools.
During this last decade, public-school teachers have been forced to teach the personal victimization narrative (with an emphasis on "voice") to get their students ready for the state-mandated tests which contain writing prompts such as "the importance of understanding your heritage," "a time you made an important choice," "the importance of accepting others as they are," "the affect someone you admire can have on your life," "whether it is important to seek friendships with people who are different from you," or "the importance of participating in an activity you enjoy."
Students have been taught that they will get a higher score on these writing prompts if they will build up a dramatic social injustice, victimization essay even if the personal references are bogus. Correct grammar, spelling, usage, punctuation, and capitalization are not factored into the final score so long as they do not "disrupt" communication; and if the student makes a high enough score on his essay, the questions on the multiple-choice editing/revising section count very little.
An understanding of basic math and reading is a better indicator of future academic success than behavior is in preschool and kindergarten students, according to a recent study led by a Northwestern professor.
SESP professor Greg Duncan led an 11-person team in a four-year study researching factors affecting how well students do in school.
"We were interested in assessing the relational predictive power of various skills … kids had when they entered school," Duncan said.
The researchers studied students entering school, looking at their academic performance, sociability and the number of fights they were involved in. They looked at data for students, in some cases up to seventh grade, and found that those who mastered elementary math and literacy skills early on were more likely to succeed in school, regardless of behavior, than those who were well-behaved but didn't master academics. The study controlled for economic and family factors.
The idea that more time in school produces better results could get a small boost today with the release of international data from the Brookings Institution. The study finds adding 10 minutes of math instruction to an eighth-grader's day translates into a jump in math skills.
The findings come as a handful of states and school districts experiment with packing more minutes into the school day and, in a few cases, more days into the year.
The study, which examined eighth-grade math scores in 20 countries, found that five of seven that added instructional minutes from 1995 to 2003 showed improved skills. Of the 13 countries that subtracted time, 10 got worse results. The three exceptions were Latvia, the Netherlands and the USA.
Most U.S. eighth-graders got 45 minutes of daily math instruction in 2003, down from 49 in 1995, but their scores on the Trends in Mathematics and Science Survey improved slightly. Researcher Tom Loveless says that is an anomaly, and more time in class could help boost scores. But even 450 more minutes of math, or two weeks' worth, would shrink the gap between the USA and top-scorer Singapore by less than 5%, he says.
What is the rationale for all United States high students passing three advanced courses in math and science to receive a high school diploma? What is the rationale for "all" high school graduates satisfying the requirements for admission to a four-college program? There is none!
The United States is the uncontested leader of the world in scientific research in respect to published accomplishments, Nobel Prizes, volume of research and expenditures on scientific research. The United States is the leader of the world in technology and the unchallenged leader of the world in the global economy. The United States dominates the world because of its educational systems, including K-12 public education, post-secondary colleges and universities that produce the most highly educated, productive and successful workforce in the world.
Encouraging teens to drive safely, honor a curfew, or simply make good choices is an enormous task. However, there's something else parents should add to their list -- something that can open many opportunities for high school students: persuade them to take advanced math.
Trust me. I know how hard it can be to convince high school students of the importance of taking a course they may not want, particularly when many seem to have an aversion to this subject. However, as a college admissions professional, I've seen the difficulties students experience without an adequate math background. I've seen how the lack of math skills limits their choices.
Chances are your son or daughter may not want to put down the video game remote to pick up a scientific calculator. They may even believe their deepest aspirations don't require a lot of math. However, the reality is that more than 50 percent of students change their majors at least once. So, even if the major they choose now doesn't require advanced math, the odds are good the one they pick later probably will.
And that's not the only good reason for improving math skills. In high school, you get up to 40 weeks to learn the material. In college, you get about 15. Students who enter college without the necessary math skills are often required to take non-credit skill-building courses. This extra review could mean a crammed first semester schedule or an additional semester in college.
Math doesn't have to be a teenager's nightmare. Encourage them to ask questions in class, stay for help, find a tutor, access math Web sites, take advantage of WXXI's Homework Hotline or find out if your school offers math-specific study halls.
Improvement in math and science education is a priority in Madison, as it is across the nation.
Science, technology, engineering and math (STEM) training is not only of growing importance to our technology-dependent society, these disciplines also represent esthetically compelling advances in human knowledge that all students should have the opportunity to appreciate.
Since 2003, UW Madison and the Madison School District have been involved in a unique partnership, funded by the National Science Foundation, to reform science and math education from kindergarten through graduate school.
Preliminary results are encouraging. This five-year endeavor, SCALE -- System-wide Change for All Learners and Educators -- has partners that include three universities and large school districts in Madison, Los Angeles, Denver and Providence, R.I. The NSF made exploring new forms of partnership its key feature.
Improving STEM education has proven resistant to traditional "you do your thing, I 'll do mine " approaches. SCALE 's successes underscore the wisdom of NSF 's emphasis on partnership.
SCALE incorporates research on student learning and teacher professional development. SCALE puts premiums on increasing teachers ' STEM subject matter knowledge and boosting their teaching skills.
In one preliminary study, teachers showed a significant increase in content knowledge after attending SCALE science professional development institutes in Los Angeles.
SCALE partners believe the most important resource in a school is its teachers, an idea that has not always been central to reform. However, the final measure of effectiveness is increased student understanding and performance. In 2009-2010, a randomized study involving 80 elementary schools in Los Angeles will provide definitive data on SCALE 's impact on student performance in science.
In Madison, SCALE teams of district math teachers and UW-Madison faculty have designed and provided content and in-service teacher professional development institutes. Each institute focused on a set of key concepts in middle school mathematics.
During 2004-06, these teams presented 19 workshops involving about 425 attendees. Teachers showed significant gains in math content knowledge, allowing them to create better learning environments in their classrooms, and UW faculty benefited from these experiences. Due to the success of this program, it has been adapted and extended to elementary mathematics and middle school science.
We also must attend to the preparation of future teachers at our universities, and to the "gateway " courses, such as calculus, for students aspiring to STEM-related occupations.
SCALE has been supporting partnerships to explore improvements in these areas at our three universities. For example, SCALE is helping cross institutional and cross-disciplinary committees in the redesign of UW math and science teacher content courses at the elementary and middle school level.
The primary SCALE lesson is the importance of meaningful, imaginative partnerships. To quote Benjamin Franklin: We must all hang together, or assuredly we shall all hang separately.
Millar is a mathematics professor and associated dean of the graduate school at UW-Madison.
In her final year at James Hubert Blake High School in Silver Spring, Amber Rountree chose to take consumer math, a course designed to teach students how to balance a checkbook and shop for a home loan. She rates it the easiest math class she has taken in high school but also the most useful.
Once a common course offering, consumer math is being phased out as school systems raise their expectations of how much math students should know when they graduate. Twenty or 30 years ago, Algebra I might have sufficed. Today, that course is regarded as an absolute minimum, a gateway to Advanced Placement study and college. Students routinely take it in middle school.
That leaves consumer math and other "checkbook math" classes relegated to a handful of schools, mostly in poor communities. College-bound students generally avoid the class, reasoning that it would look bad on a transcript.
"In a lot of places, this course has been a dead-end street," said Francis "Skip" Fennell, president of the National Council of Teachers of Mathematics in Reston.
The gradual elimination of the course from high schools comes as lawmakers, corporate leaders and many parents are decrying the financial illiteracy of the young. Fourteen states, including Virginia, have created new mandates for personal finance
Students’ success in mathematics, and algebra specifically, hinges largely on their mastering a focused, clearly defined set of topics in that subject in early grades, the draft report of a federal panel concludes.
The long-awaited report of the National Mathematics Advisory Panel is still very much in flux. Members of the White House-commissioned group staged their 10th, and what was supposed to be their final, meeting in a hotel here Nov. 28, though they indicated that numerous revisions to the document are yet to come.
The panel spent most of a day debating and rewriting a 68-page draft of the report. The draft makes recommendations and findings on curricular content, learning processes, training and evaluation of teachers, instructional practices, assessment, and research as those topics apply to math in grades pre-K through 8.
“International and domestic comparisons show that American students have not been succeeding in the mathematical part of their education at anything like a leadership level,” the report says. “Particularly disturbing is the consistent finding that American students achieve in mathematics progressively more poorly at higher grades.”
The 19-member panel has reviewed an estimated 18,000 research documents and reports as part of its work, which began in 2006. But its draft document also bemoans the paucity of available research in several areas of math—including instruction and teacher training. Government needs to do more, it says, to support research with “large enough samples of students, classrooms, teachers, and schools to identify reliable effects.”
The draft attempts to define the core features of a legitimate school algebra course as opposed to one, the panelists said, that presents watered-down math under that course title. Topics in an algebra course should include concepts such as symbols and expressions, functions, quadratic relations, and others, it notes.
The working report also spells out specific concepts in math that are too often neglected in pre-K through grade 8 math instruction generally, such as fractions, whole numbers, and particular elements of geometry and measurement.
“We don’t spend enough time on them and we don’t assess them,” panel member Camilla Persson Benbow, an educational psychologist at Vanderbilt University in Nashville, Tenn., said of fractions. “[They’re] really not well mastered by schoolchildren.”
In arguing in behalf of a more focused curriculum in elementary and middle schools, the panel lists several “benchmarks for critical foundations” in prekindergarten through 8th grade math, leading to algebra. The goal is to develop fluency with fractions, whole numbers, and other topics. The panel drew from a diverse assortment of documents, including the 2006 “Curriculum Focal Points,” published by the National Council of Teachers of Mathematics, as well as Singapore’s national standards and a number of U.S. state math standards.
David Klein, a mathematics professor at California State University at Northridge, says he was pleased to review Advanced Placement and International Baccalaureate math courses for the Thomas B. Fordham Institute. He respects institute President Chester E. "Checker" Finn Jr., a longtime leader in the movement to improve U.S. schools. Among the views Klein shares with Finn is that overuse of calculators can interfere with students' mastery of analytical skills.
But their collaboration on Fordham's analysis of AP and IB did not turn out the way either of them hoped.
On June 4, Klein submitted his report on two courses, AP Calculus AB and IB Mathematics SL. Klein's analysis of AP and IB math was more negative and his grades lower than what the experts on AP and IB English, history and biology courses submitted to Fordham. He would have given the AP math course a C-plus and the IB math course a C-minus. The other reviewers thought none of the courses they looked at deserved anything less than a B-minus.
Still, Klein says, he got no indication from the Fordham staff of any problems until the edited version of his material came back to him for review on Sept. 28, a week before the deadline for completing the report. Many of what he considered his strongest points, he discovered, had been deleted. He had Fordham remove his name as a co-author of the report, "Advanced Placement and International Baccalaureate: Do They Deserve Gold Star Status?" which was released Nov. 14.
After agreeing to the name removal, Finn told Klein in an e-mail: "I imagine we'll also reduce your overemphasis on calculator use and probably change the grades (upward). Thanks, tho, for your help." Klein's grade of C-plus for AP was not changed, but his grade of C-minus for IB got a big jump to a B-minus, meaning the report was saying that IB math was better than AP math, the opposite of what Klein had said.
As important, is the state of science and math education, particularly in the early grades, where young students' abilities have been in a steady decline. The slip results as much from failings in government priorities as from income and class inequities, Kao believes.
"We are allowing the vagaries of income disparity to waste generations of potential innovators," he says. "In U.S. schools serving low-income students, 30 percent of junior high mathematics teachers majored in math in college." In China, the majority of math and science teachers at all levels have advanced degrees in their subjects.
Educators and politicians these days make a point of saying that U.S. schoolchildren aren't just competing locally for good, high-paying jobs — they're competing globally.
A detailed study lets them know just how well kids may do if they really compete globally someday — and it's not exactly pretty.
Crunching the most recent data from a pair of U.S. and international math and science exams for middle-schoolers, Gary Phillips, a researcher at the non-profit American Institutes for Research (AIR), a non-partisan Washington think tank, finds a decidedly mixed picture: Students in most states perform as well as — or better than — peers in most foreign countries.
But he also finds that even those in the highest-scoring states, such as Massachusetts and Minnesota, are significantly below a handful of top-scoring nations such as Singapore, Hong Kong, South Korea, Taiwan and Japan.
In mathematics, students in 49 states and the District of Columbia are behind their counterparts in Singapore, Hong Kong, South Korea, Taiwan and Japan. Students in Massachusetts are on a par with Japanese students, but trail the other four nations. In science, students in Massachusetts, Minnesota, Montana, New Hampshire, North Dakota, South Dakota, Vermont and Wisconsin trail only students in Singapore and Taiwan, while performing equal or better than students in the other 45 countries surveyed.
“More than a century ago Louis Pasteur revealed the secret to invention and innovation when he said ‘chance favors the prepared mind’. The take away message from this report is that the United States is loosing the race to prepare the minds of the future generation,” said Dr. Phillips.
Students in the District of Columbia had the lowest U.S. performance in mathematics (they did not participate in the science test). In math, the average D.C. student is at the Below Basic level, putting them behind students in 29 countries and ahead of those in 14 countries. In science, nine states are at the Below Basic level: Florida, Arizona, Louisiana, Nevada, New Mexico, Alabama, Hawaii, California and Mississippi.
Notice of Madison School Board Meetings
Week of November 12, 2007
Thursday, November 15
1025 West Johnson Street
Madison, WI 53706
Room 247
Math Task Force – Student Achievement and Data Working Group
9:00 a.m.
1. Introductions and Review of Agenda
2. Main Questions to be Answered by Data for the Mathematics Task Force and the Priority of the Questions
3. Data Sources and Availability
4. Necessary Resources to Produce the Needed Analyses
5. Adjournment Education Sciences Bldg.
To: Columbia Public Schools Board of Education and Superintendent Phyllis Chase
An increasing number of parents and community leaders have expressed concern about the various math curricula currently used in the Columbia Public Schools (CPS). These experimental math programs go by the names of Investigations (TERC), Connected Math (CMP) and Integrated Math (Core Plus) and they emphasize "self-discovery" over mathematical competency. We are concerned because these curricula have been discredited and abandoned in other regions of the country after they failed to deliver demonstrable results. The failed curricula are currently the only method of instruction in the elementary grades and middle schools. At higher grade levels, CPS has actively discouraged students from enrolling in math courses that place more emphasis on widely accepted standard methods. And, while implementing and evaluating these programs, the Columbia School District did not provide open access to meetings or adequately consider the concerns of professional mathematicians, parents and community leaders.
Therefore, we, the undersigned, would like to express our deep concern with the following issues and to propose that the Columbia School District adopt the following goals:
1. Protect the right of students to become computationally fluent in mathematics. We expect students to receive direct instruction in standard algorithms of all mathematical operations and laws of arithmetic so that they can master the skills that allow fast, accurate calculation of basic problems. This goal cannot be met with the current Investigations/TERC math curriculum for lower grade levels.
2. Ensure that math instruction is flexible enough to allow for various learning styles and is age and grade-level appropriate. The elementary level should focus on math standards that will build a solid base of mathematical skills for ALL students. Middle school curricula should build a bridge between the fundamental arithmetic learned in elementary school and the more abstract concepts taught in high school. At both the elementary and middle school levels the curricula should allow teachers the flexibility to meet the needs of all types of learners. This goal cannot be met with the Connected Math program currently used in middle and junior high schools.
"Math Power: How to Help Your Child Love Math Even If You Dont'
"Math Power: How to Help Your Child Love Math Even If You Dont'," the only
book by a mathematician written for parents of children aged 1-10, is
about to go out of print for the second time. Both times the publisher
sold its trade books to another publisher just as it was published, so
none of the four publishers made any effort to publicize it. This time,
however, I have a good offer to buy the remaining copies. I really want
it to get into as many libraries as possible -- and many hands. There
are many copies left.
If you can get a library to offer me a thank you note and give me the
address, I will send that library an autographed copy free for the tax
deduction. If you want an autographed copy, I will be glad to send you a
copy for $10. The price on the cover is $19.95, and it's fine to resell
them at this time. If you can find an outlet or use them yourself, I can
send a box of 18 books for $140. (No autographs on those books because
they will be inside the box.) There are MANY boxes available.
"Math Power" had excellent reviews from both sides of the "Math Wars" when
it first appeared in 1997, and another from "The Library Journal," but
without some publisher publicity, books don't sell. It may be that math
is not a popular subject in this culture; there is other evidence.
Anyway, I would appreciate any help you can give me in disseminating the
remaining copies. The publisher wants a reply as to how many I will buy
WITHIN TWO WEEKS!
Otherwise, I am well and busily campaigning for NJ to
require at least some appropriate math education for its preservice
elementary ed teachers. I taught a first such course last year at
Bloomfield College, having given up on Montclair State, with the Singapore
texts and loved it; so did the students. We have a long way to go before
the United States provides decent elementary math ed to all our children,
and I hope you can help me do my little bit. I was hoping it would be
more, but we do what we can.
I turned to look at my son Matthew, who is 21 and autistic. He stood in the doorway of the kitchen looking pleased with himself, wearing grass-stained socks and sandals and a clean striped shirt tucked into shorts cinched up high with a belt. His handsome face was clean, but there were several spots he had missed while shaving that morning. His sandy blond hair was combed straight forward in a most unflattering "Dumb and Dumber" sort of way.
"All right," I said, "just comb your hair to the side and do a quick shave and we'll be on our way."
If I could just dress Matthew myself, he would look great, but I had to respect his desire to be treated like a regular 21-year-old.
In a darkened Algebra II classroom, all eyes were on an illuminated graphing calculator projected three feet high on the white board as students studied a series of graphs and talked about absolute value functions.
The weightless image of a TI-84 Plus Silver Edition graphing calculator is a far cry from early typewriter-size calculators that weighed 55 pounds and plugged into an outlet. This year marks the 40th anniversary of the moment that revolutionized not only the calculator but also the way students learn math. It was 40 years ago that three Texas Instruments scientists shrank that monstrosity and created the hand-held calculator.
To mark the milestone, the Texas company donated some historic hand-helds to the Smithsonian's National Museum of American History last week as symbols of change in the United States. The devices will go alongside the table Thomas Jefferson used when he wrote the Declaration of Independence and the top hat Abraham Lincoln wore when he was assassinated.
In math classrooms, calculators mechanized finger counting, pencil-and-paper calculations and slide rules. Elementary students weaned on Little Professor calculators that can add, subtract, multiply and divide move on to graphing calculators in later grades. Future students will use programmable devices that show algebraic formulas, graphs and word problems on the same screen.
But that clear and present danger is not here today. It’s a slowly growing problem that we haven’t really faced up to, that we are rapidly losing our lead in this war for minds. The Cold War is over. The arms race is over. It’s now a mind race.
Countries like China, India, and Korea have invested heavily in education over the last decade. They are now producing more scientists and engineers than we are. It is my concern that as we look to the future, innovation is going to come from the other side of the world.
Lacking a clear and present danger, the American education system is not mobilizing to support science, technology, engineering and math. Today’s generation of kids is the most technology savvy group that this country has ever produced. They are born with an iPod in one hand and a cell phone in another. They’re text messaging, e-mailing, instant messaging. They’re on MySpace, YouTube & Google. They’ve got Nintendo Wiis, Game Boys, Play Stations.
Their world is one of total interactivity. They’re in constant communication with each other, but when they go to school, they are told to leave those “toys” at home. They’re not to be used in school. Instead, the system continues teaching as if these kids belong to the last century, by standing in front of a blackboard.
Education has not changed, and that’s a problem. It was a good system when I came through, but today’s kids have changed, and that’s the part that educators are not realizing. It’s the kids that have changed, and our education system needs to change along with them.
Tacoma’s eighth-through-12th-grade algebra, geometry, pre-calculus and calculus students are cracking open new math textbooks worth more than half a million dollars. It’s the fourth math series to be used in the city’s high schools in the last seven years.
“Like everybody else, we’re in a constant quest to find that program that’s going to best work to get kids to standard,” assistant superintendent Michael Power said.
School district officials believe the new curriculum is easier to use, better aligned with local and state standards and gives kids a higher chance at success than previous math program.
“We weren’t getting the growth (in achievement) that we wanted to see,” said secondary math facilitator Patrick Paris. “Our scores at the high school level were relatively flat.”
Administrators realized early this year that the Saxon math program implemented last fall wasn’t working out in the upper grades. They asked a curriculum review team to find a replacement.
The team scrutinized available programs for high school study before settling on the Prentice Hall algebra-geometry-algebra series of texts and Houghton Mifflin pre-calculus and calculus books.
The School Board approved the $530,000 plus tax and shipping purchase Aug. 23.
Saxon math remains in the lower grades, where its back-to-basics approach is credited, in part, with helping raise scores this year.
The 2007 NAEP results have just been released. There are many interesting results one can learn by looking at this data. In addition to the very serious racial gap in Wisconsin which has been commented on by The Educational Trust [Grade 4 Math NAEP Analysis | 80K PDF ] [Grade 8 Math NAEP Analysis | 80K PDF] and the Wisconsin Department of Public Instruction [172K PDF], there are strong indications of other problems in mathematics education in Wisconsin. Consider the following data comparing results for whites and blacks in Ohio and Wisconsin from the first year NAEP results were given by states and the 2007 results. As background, 12 points on NAEP is generally thought to be about the change from one year to the next on a given test. This is not a good estimate when looking over 15 to 17 years, since part of the rise in the test score likely came from changes made in textbooks and in what teachers teach because of the change in the NAEP Framework in the early 1990s.
For example, in Trends in Mathematics and Science Study, TIMSS, fourth grade math was tested in 1995 and 2003, and the results were flat while the NAEP results went up enough to allow statisticians to conclude the increase was statistically significant.
I assume that some of the rise in NAEP over this period is because students are learning more about the topics covered in NAEP, but that this is not the only
reason for the rise in NAEP scores.
The data below is comparison data between the results in two states at two different years, so the point estimate for a year of schooling seems to be a reasonable guideline. If so, Wisconsin has lost about a year to Ohio. Something needs to be done about this.
I asked all 140 of my eighth-grade students to divide 10 by 2. Just eight of them wrote down 5.
I knew my students would need remedial work, but I had no idea it would be to this extent. One of the first standards for eighth-grade physical science is manipulating this equation: speed equals distance divided by time (S = D/T). This is a foundation for upper-level skills in physical science. Next come velocity, acceleration, and gravity. I knew that many of my eighth-grade students would have trouble converting fractions into decimals, but I never fathomed that 10 divided by 2 would give so many of them trouble.
They made comments such as, “Mr. Chapman, this is science class, not math class. I hate math.” Almost half of the first periodic assessment given in November will be based on division, multiplication, and addition to solve for a scientific term. Division remedial work was a must.
Happy Birthday, Sputnik. Fifty years ago, a small Soviet satellite was launched, stunning the U.S. and sparking a massive technology research effort. Could we be in for another "October surprise"?
Quick, what's the most influential piece of hardware from the early days of computing? The IBM 360 mainframe? The DEC PDP-1 minicomputer? Maybe earlier computers such as Binac, ENIAC or Univac? Or, going way back to the 1800s, is it the Babbage Difference Engine?
More likely, it was a 183-pound aluminum sphere called Sputnik, Russian for "traveling companion." Fifty years ago, on Oct. 4, 1957, radio-transmitted beeps from the first man-made object to orbit the Earth stunned and frightened the U.S., and the country's reaction to the "October surprise" changed computing forever.
Although Sputnik fell from orbit just three months after launch, it marked the beginning of the Space Age, and in the U.S., it produced angst bordering on hysteria. Soon, there was talk of a U.S.-Soviet "missile gap." Then on Dec. 6, 1957, a Vanguard rocket that was to have carried aloft the first U.S. satellite exploded on the launch pad. The press dubbed the Vanguard "Kaputnik," and the public demanded that something be done.
The most immediate "something" was the creation of the Advanced Research Projects Agency (ARPA), a freewheeling Pentagon office created by President Eisenhower on Feb. 7, 1958. Its mission was to "prevent technological surprises," and in those first days, it was heavily weighted toward space programs.
Speaking of surprises, it might surprise some to learn that on the list of people who have most influenced the course of IT -- people with names like von Neumann, Watson, Hopper, Amdahl, Cerf, Gates and Berners-Lee -- appears the name J.C.R. Licklider, the first director of IT research at ARPA.
Armed with a big budget, carte blanche from his bosses and an unerring ability to attract bright people, Licklider catalyzed the invention of an astonishing array of IT, from time sharing to computer graphics to microprocessors to the Internet.
A year and a half ago, President Bush proposed the creation of a new federal mathematics effort that would offer millions of dollars in grants to school districts to adopt proven strategies for improving classroom instruction in that subject.
Last month, federal lawmakers gave the president what he was looking for—with some differences.
Administration officials had pictured the new program, called Math Now, as being modeled on Reading First, the $1 billion-a-year federal effort that provides money for research-based improvements in reading instruction in the early grades.
But in the end, Congress’ vision differed. Math Now—included as part of a broader piece of legislation to support math and science education and research known as the America COMPETES Act, which Mr. Bush signed into law Aug. 9—is authorized to receive less half the amount the administration had wanted: $95 million a year, not $250 million.
The board's executive director, Edie Harding, said public comment required some changes to a draft report the committee circulated last month, but the basic message is the same: The state needs tougher math standards and clearer guidance for teachers, parents and students.
The draft report called for putting more emphasis on learning the mechanics of math, but Harding said the math committee learned during public hearings around the state that people thought the report came on too strong concerning memorizing basic math facts.
Washington does need to re-emphasize the mechanics of math, but not give up on teaching students how to apply what they learn and to understand how math ideas fit together, Harding said.
The report, written by Linda Plattner of the Maryland-based educational research firm Strategic Teaching, which was hired by the state to assess its math expectations, also emphasizes the need to simplify grade level expectations and to set priorities for the state's math standards.
"That should help teachers as well as kids," Harding said.
The focus groups also taught the math committee that they need to include a math educator in their review committee so they can hear from a teacher if the standards will work in the classroom.
The bottom line is that Washington’s math standards need to be strengthened. If mathematics is the gateway to student success in higher education and the workplace, Washington is getting too few of its students to and through the door.
Compared to other higher-achieving states and countries, Washington is not expecting enough of its students. There is insufficient emphasis on key mathematical content. Some key math should be taught earlier in a student’s schooling, and some key math is simply missing. Washington does not provide sufficient clarity in its math expectations and does not ensure that Washington students learn the critical algorithms — math rules — that they need to succeed.
And the standards do not provide sufficient clarity of how well students are expected to learn math. For example, the standards often call for student “understanding” rather than a demonstration that a student can actually use the math to calculate, estimate, or solve a problem.
This is a harsh assessment. To be sure, there are good qualities in Washington’s mathematics standards including well-defined and developed mathematical processes and some well-developed strands, such as Algebra in the elementary years.
I found it interesting and useful that Strategic Teaching included a discussion "on higher achieving states and countries" acknowledging the fact that our next generation is not competing with students from only from Racine or Green Bay, but those from Helsinki, Bangalore, Moscow and many other communities around the world.
But in pre-NCLB (No Child Left Behind) days, Tyler Heights students weren’t critical thinkers and creative writers: Only 17 percent passed the MSA in 2000. Many went on to fail in middle school and drop out of high school.
Principal Tina McKnight, a fanatically hard-working woman, started the turnaround in 2000. Superintendent Eric Smith brought in Saxon Math and Open Court, a phonics-first reading curriculum that tells teachers — often inexperienced — exactly what to say.
Because it has so many poor students, Tyler Heights gets extra funding to pay for very small classes and a variety of pullout programs for students who aren't doing well. Half the third-grade class receives some kind of special help.
Americans took note when Bill Gates said last spring that American schools needed to beef up science and math standards if the country was going to maintain a competitive edge in the new century. So did Congress, which last week approved legislation called the America COMPETES (Creating Opportunities to Meaningfully Promote Excellence in Technology, Education and Science) Act, which carves out a whopping $43.6 billion for science education and research.
So why did the federal government quietly decide last year to drop out of an international study that would compare U.S. high-school students who take advanced science and math courses with their international counterparts?
The study, called TIMSS (Trends in Mathematics and Science Study) Advanced 2008, measures how high-school seniors are doing in algebra, geometry, calculus and physics with students taking similar subjects around the globe. In the past, the American results have been shockingly poor. In the last survey, taken in 1995, students from only two countries—Cyprus and South Africa—scored lower than U.S. school kids.
While the math scores in the recently released Minnesota Comprehensive Assessments-Series II are slightly higher than last year's scores, they're still not very encouraging. Midday explores what these scores mean for math education, how students learn math and the state of our math curriculum?
GUESTS Ken Vos: professor of education at the College of St. Catherine
CUNY Plans to Raise Its Admissions Standards: "the math cutoff would be raised first because that was where the students were “so woefully unprepared""
The City University of New York is beginning a drive to raise admissions requirements at its senior colleges, its first broad revision since its trustees voted to bar students needing remedial instruction from its bachelor’s degree programs nine years ago.
In 2008, freshmen will have to show math SAT scores 20 to 30 points higher than they do now to enter the university’s top-tier colleges — Baruch, Brooklyn, City, Hunter and Queens — and its six other senior colleges.
Students now can also qualify for the bachelor’s degree programs with satisfactory scores on the math Regents examination or on placement tests; required cutoffs for those tests will also be raised.
Open admissions policies at the community colleges will be unaffected.
“We are very serious in taking a group of our institutions and placing them in the top segment of universities and colleges,” said Matthew Goldstein, the university chancellor, who described the plan in an interview. “That is the kind of profile we want for our students.”
Dr. Goldstein said that the English requirements for the senior colleges would be raised as well, but that the math cutoff would be raised first because that was where the students were “so woefully unprepared.”
1. Initiate and complete a comprehensive, independent and neutral review and assessment of the District's K-12 math curriculum. The review and assessment shall be undertaken by a task force whose members are appointed by the Superintendent and approved by the BOE. Members of the task force shall have math and math education expertise and represent a variety of perspectives regarding math education.
Educators and parents say it's a debate between conceptual vs. computational math.
It's a battle centered around curriculum, teaching materials and textbooks with the question on everyone's mind: What is the best way for students to learn math?
The debate has spurred Eastside parents to sign petitions and lobby district officials for changes; some even have decided to run for school board.
What most students are learning in Eastside classrooms and across the nation is known as "conceptual" math, sometimes called new math, or what Killeen and other parents call "fuzzy" math.
In elementary grades, it focuses more on the "why," not just the "how." Students are asked to explain what the numbers mean, not just what the correct answer is. They are shown different ways to do the same problem and are encouraged to find their own methods.
But some parents say this method is shortchanging children, leaving them without a solid foundation in basic math concepts.
Taking a job as a mathematics or science teacher in rural Kentucky or Tennessee is an appealing career choice for educators who grew up in those communities. It’s stable work, which means a lot in farming and mining towns where jobs are scarce. It pays well, in an area where the cost of living is cheap. And it allows some young educators to work in the same schools where their parents and grandparents once taught.
But persuading math and science teachers from big cities and suburbs to move to isolated communities lacking in cultural amenities is a much tougher sell.
“We’re small,” said Kristal Harne, an elementary school math and science teacher from Liberty, Ky., population 1,897. “We don’t even have a Wal-Mart.”
The organizing board said around 600 contestants from 100 countries and territories will take part in the IMO.
The organisation of the IMO aims to encourage students to study mathematics and create favourable conditions for countries to exchange information on the curriculum in schools.
The document, produced by the Washington-based American Association of Colleges for Teacher Education, provides descriptions of 50 teacher-education programs around the country. Although the report does not identify any single program or approach as most effective in swelling the ranks of math and science teachers, it says that more institutions are establishing stronger ties between colleges of education, which focus on teacher preparation, and academic programs, which are devoted to training undergraduates in specific academic subjects.
Barriers between those academic departments sometimes prevent talented math and science undergraduates from considering teaching careers, advocates for improved teaching have argued. Those intrauniversity divides also make it more difficult for aspiring teachers to obtain vital content knowl-edge in math and science before entering the classroom, some say.
In an effort to prepare students for the rigors of increasing math requirements, the Idaho State Department of Education is re-evaluating the way schools teach and assess student proficiency in mathematics.
The Idaho Legislature approved $350,000 in research funding earlier this year, which paid for the development of a task force to examine issues such as various assessment methods, teacher training and remedial opportunities for students who struggle in mathematics.
The department will ask lawmakers in the 2008 legislative session to approve funding for the changes it will likely propose in math education and assessment.
Cindy Johnstone, mathematics coordinator for the state department, said the changes are part of the state's math initiative, which was implemented to improve student proficiency in mathematics.
In Idaho and throughout the nation, math scores are steadily falling in elementary and middle schools - a problem that has forced high schools to devote more resources to math remediation.
Madison Math Task Force Meetings Today and Wednesday
Week of June 11, 2007
Tuesday, June 12
9:00 a.m. Math Task Force
1. Introduction of Task Force Members
2. Madison Metropolitan School District (MMSD) Math Instructional System
3. Next steps on How to Proceed and Timeline
4. Adjournment
Wisconsin Center for Education Research
1025 West Johnson St.
Madison, WI 53706 [map]
13th Floor Conference Room
Wednesday, June 13+
9:00 a.m. Math Task Force
1. Approval of Minutes dated June 12, 2007
2. Next Steps for How to Proceed and Timeline
3. Background Information from the Madison School Board to Address the Charge to the Task Force
4. Assignment of Tasks
5. Schedule of Future Meetings
6. Adjournment
Wisconsin Center for Education Research
1025 West Johnson St.
Madison, WI 53706 [map]
13th Floor Conference Room
When Seattle elementary-schoolers open their math textbooks this fall, they'll all be on the same page -- literally.
In an attempt to boost stagnant test scores, elementary teachers will start using the same math textbooks and materials and covering lessons at the same time as their colleagues at other Seattle elementary schools, the School Board decided Wednesday.
"It's clear to me that the math adoption is long overdue, and Seattle desperately needs a consistent and balanced approach," board member Brita Butler-Wall said.
Lessons will now be taught using the conceptual "Everyday Math" books, which help students discover algorithms on their own and explore multiple ways to solve problems, and the more traditional "Singapore Math" books, which help hone students' basic computation skills through repetition and problem solving. Teachers will follow the district's guidelines for the order the lessons would be taught.
Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
The Task force includes David Griffeath, who, according to this document, provided by a reader, has been a paid math consultant for the Madison School District.
Gov. Chris Gregoire on Tuesday delayed until 2013 a requirement that students pass the math and science portions of a high stakes exam in order to graduate from high school.
She also liberally applied her veto pen to four large sections of the bill overhauling the Washington Assessment of Student Learning exam.
Gregoire said she would have preferred to delay the math and science WASL graduation requirement only until 2012.
She eliminated the sections of the WASL-overhaul bill that would have established end-of-course exams, regional appeals, a special exemption for students learning English as a second language and the clause declaring an emergency.
According to an independent survey commissioned by Microsoft Corp., 77 percent of teachers and 73 percent of parents claim math and science are the most difficult homework subjects for students, yet only 36 percent of parents feel capable to help their children. While parents and teachers struggle to find the time or knowledge to provide their kids with adequate assistance in math and science, students can grow frustrated by the lack of resources and the amount time it may take to find relevant guidance in these difficult subjects. To address these issues, Microsoft has developed a low-cost, comprehensive resource for middle school, high school and entry-level college students.
Today Microsoft releases Microsoft® Math 3.0, a new software solution designed to help students complete their math and science homework more quickly and easily while teaching important fundamental concepts. Microsoft Math 3.0 features an extensive collection of capabilities to help students tackle complicated problems in pre-algebra, algebra, trigonometry, calculus, physics and chemistry, and puts them all in one convenient place on the home PC. Similar to a hired tutor, Microsoft Math 3.0 is designed to help deepen students' overall understanding of these subjects by invoking a full-featured graphing calculator and step-by-step instructions on how to solve difficult problems.
Only one-quarter of high school students who take a full set of college-preparatory courses — four years of English and three each of mathematics, science and social studies — are well prepared for college, according to a new study of last year’s high school graduates released today by ACT, the Iowa testing organization.
The report analyzed approximately 1.2 million students who took the ACT college admissions test and graduated from high school last June. The study predicted whether the students had a good chance of scoring C or better in introductory college courses, based on their test scores and the success rates of past test takers.
The study concluded that only 26 percent were ready for college-level work in all four core areas, while 19 percent were not adequately prepared in any of them.
Late last month, over 400 high school math teachers and education professors gathered in Brooklyn for a three-day conference, titled “Creating Balance in an Unjust World: Math Education and Social Justice.” Prominently displayed on the official program’s first page was a passage from Paulo Freire, the Brazilian Marxist educator and icon of the teaching-for-social-justice movement: “There is no such thing as a neutral education process. Education either functions as an instrument which is used to . . . bring about conformity or it becomes the practice of freedom, the means by which men and women deal critically and creatively with reality and discover how to participate in the transformation of our world.”
The conference’s organizers left nothing to the imagination about their leftist agenda. At many of the conference’s 28 workshops, math teachers proudly demonstrated how they used classroom projects to train students in seeing social problems from a radical anticapitalist perspective. At a plenary session, Professor Marilyn Frankenstein of the University of Massachusetts’ math education department proclaimed that elementary school teachers should not use traditional math lessons, in which students calculate, say, the cost of food. Rather, the teachers should make clear that in a truly “just society,” food would “be as free as breathing the air.”
New York City’s Department of Education insists that the radical math conference was perfectly appropriate. In fact, as I recently learned, the whole affair got rolling with the assistance of the DOE, which gave a financial grant to the conference’s principal organizer, Jonathan Osler. Osler is a math teacher at El Puente Academy, a small “social-justice” high school in Brooklyn. In 2005, he and two math teachers from other schools applied for the DOE’s Zone Teacher Inquiry Grants Program. Their application proposed “the creation of a system to bring together NYC math teachers to share ideas, curriculum, resources, and experiences integrating issues of social justice into math classes.” Some of the social justice issues that math classes could explore: “Check-cashing locations ripping off poor people. H&R Block and Jackson Hewitt ripping off poor people. Foreclosure agencies ripping off poor people. Issues of joblessness, homelessness, incarceration, lack of funding for education, excessive funding for war. . . . The list goes on and on.”
Mathematics is crucial in the modern world. It is the foundation of modern science and engineering, and the prerequisite to any number of careers. Children’s formal learning of mathematics occurs throughout elementary school, and their success or failure at this level will have an impact on the entire rest of their lives.
Thus it is vital that elementary teachers be well-prepared to teach mathematics.
You would think that all elementary teachers know elementary math. After all, they are college graduates. Unfortunately, you’d be wrong. For example, mathematics educator Liping Ma, a senior scholar at the Carnegie Foundation for the Advancement of Teaching, reports that only 43 percent of a group of “above average” U.S. elementary teachers chosen for their interest in math could carry out a simple calculation involving division of fractions.
Moreover, teaching elementary school math requires more than simply knowing how to do elementary school math. Teachers must be able to present mathematics as a coherent body of knowledge rather than a bunch of arbitrary rules, to recognize and address a range of misconceptions, to encourage mathematical thinking and develop student self-confidence. They need to know elementary math well enough to teach it in all its subtlety.
In Ma’s study, only 4 percent of U.S. teachers were able to write a story problem that corresponded to the division of fractions problem. If that’s the case, how can they teach this subject well?
This is not the fault of current teachers. The present system in Massachusetts allows prospective teachers with inadequate knowledge of mathematics to pass the general curriculum requirement for teacher licensure. Passing is determined by the cumulative score on an exam in which mathematics is only one of five subject areas.
Moreover, the curricula of teacher-preparation programs reflects this testing, and frequently includes very little mathematics. The present situation ignores a great deal of research linking teacher knowledge and student achievement in mathematics, and it ignores the reality of what is necessary if our children are to succeed in their schools and careers.
Proposed remedies are before the Board of Education. The board recently mandated a separate math subtest of the general curriculum test beginning in 2008, and this month it will vote on additional math course requirements. These changes are long overdue, and adopting them is simple common sense. Teachers must know math if they are to communicate it to our children.
The new regulations are accompanied by guidelines for the scope and depth of knowledge required in math. These guidelines are consistent with an emerging consensus of mathematicians and mathematics educators concerning math knowledge related to the elementary curriculum. (Full disclosure: I provided feedback on a draft of these guidelines.) Programs preparing teachers will be required to offer multisemester sequences in math for elementary teachers. Such courses can be rich intellectual experiences, developing the kind of knowledge that we know makes a difference and enabling the next generation of elementary teachers to enter classrooms genuinely prepared.
In today’s quantitative society, the ability to teach math is just as necessary as the ability to teach reading for prospective elementary school teachers, and we should design our license requirements with this in mind.
Solomon Friedberg is a professor of mathematics at Boston College, and a member of the Commonwealth’s Math-Science Partnership Steering Committee. He is teaching a course in mathematics for elementary teachers at BC. Clusty search.
Math conference: Meeting the Needs of Diverse Learners
From Diana Kasbaum, Mathematics Consultant & School Improvement Consultant, Title I and School Support Team, WI Department of Public Instruction
This is a reminder that the WI Mathematics Council's Annual Conference (May 2-4) is fast approaching and will provide valuable opportunities to schools and districts using Title I funding for mathematics. As noted below, the Wednesday pre-conference focus is 'Meeting the Needs of Diverse Learners' and will focus on ELL, Special Education and Gifted & Talented. The information will be valuable to those who work with Title I students. There are also keynote and sectional presentations about interventions, struggling learners, special education and Title I at the conference on Thursday and Friday.
Additional information can also be found at: http://wismath.org/GL.html.
If you have further questions about Title I mathematics, please feel free to contact me: Diana.Kasbaum@dpi.state.wi.us.
6th Grade Textbooks: Connected (left) and Singapore Math.
UPDATE: A reader emailed this:
I noticed that there were 10 student books in the 6th grade pile for CMP. That was surprising since there are only 8 in publication. Then I looked at the teacher editions and noticed there were 10 as well. There are two copies of both How Likely is It? and Covering and Surrounding.
The statement, "A quick look at the size of the Connected Math textbooks compared to the equivalent Singapore Math course materials illustrates the publisher and author interests in selling these large volumes irrespective of curriculum quality and rigor (not to mention the much larger potential for errors or the lost trees....)" is following the picture in one of the discussions. Taking a look at the Singapore Math website It appears that in addition to the 2 textbooks pictured and student workbooks pictured, there are Intensive Practice books, Extra Practice Books, and Challenging Word Problems books, as well as other resources. Also, the white book on the bottom of the pile appears to be an answer key. There are also teacher guides for 6A and 6B that are not in the picture.
I'm not suggesting the statement above is false, I would just like to point out that the picture being used is not an accurate comparison. I hope you find this information valuable.
According to Arlene Silveira, the superintendent named the following members of a math task force:
Merle Price (co-chair): an adjunct faculty member in education policy at Cal State University, Northridge. A former high school principal and deputy superintendendt for Los Angeles Unifed School District.
Jim Lewis (co-chair): professor of mathematics at University of Nebraska, Lincoln. Was department for 15 years and has numerous NSF grants, including funding to improve mathematics education.
Neither co-chair has been directly involved in NCTM-based curricula implementation, in the interest of impartiality.
Other members:
Norman Webb, mathematics educator and evaluator
Martha Alibali, cognitive scientist
David Griffeath, mathematician
Eric Knuth, math education researcher
Mitchell Nathan, cognitive scientist
Ken Zeichner, university teacher education expert
A K-12 teacher and a parent are still to be named.
Arlene added:
No MMSD employee is on the task force, in the interest of impartiality. Lisa Wachtel and Brian S. will serve as point people for the task force if information or data is needed for the district.
The Board will be responsible for setting the direction of the task force and making decisions on "branch points" in the process. The community will be involved.
If one could make a case against the perpetrators of reform math—complete with arrests and jail time—showing that such programs are a form of child abuse, the math wars would cease in a matter of days. As it is, however, reasoned arguments from those who oppose the reform programs haven’t seemed to carry much weight, as the programs seem to proliferate in school after school across the U.S. And in a recent Education Week column, Mr. T.C. O’Brien seems quite content to skewer those who criticize the reform programs, resorting at times to borderline name-calling, and laying blame in large part on mathematicians. It seems that mathematicians’ call for math to be in math textbooks and that such math be is an artifact of purism and backwards thinking.
Ordinarily I would ignore such a diatribe. But I believe there have been too few rebuttals to this type of editorial which Education Week seems only too happy to publish. Take for example this statement: “The National Mathematics Advisory Panel, established by the Bush administration in April of last year, has been meeting to discuss the improvement of achievement in mathematics in the schools. A good portion of its members have no experience in mathematics, no experience teaching children, or both.”
Amid the whir of an overhead projector, Concord High School biology teacher Ellen Fasman sketched out the long, chubby legs of an X-shaped chromosome with her erasable marker.
"What do you remember from seventh grade about mitosis?" she asked the class.
Her question on cell division met with blank stares. From underneath his baseball cap in the back of the room, sophomore Vincent Thomas muttered in confusion.
"Wait, I don't get this," Thomas said. "We learned this in seventh grade?"
Even in her college prep biology class, students come less and less prepared each year, Fasman said.
"They're every bit as bright as they've ever been," said Fasman, who has taught for 16 years. However, they increasingly come hampered by smaller vocabularies, lacking knowledge of basic cell biology and unable to deal with fractions, she said.
"Their math skills are rather poor," Fasman said. "When we do the metric system at the beginning of the year, it's a killer for them. When we get into genetics, sometimes it's hard for them, understanding ratios."
American students -- particularly those in California -- come up short in math and science.
Experts say the trend toward early algebra is driven by more rigorous teaching and a commitment to providing greater access to a course that provides a crucial foundation for further study in math and science. Algebra, they say, opens doors. That can be especially important at schools such as Gunston Middle, where about half of the students are economically disadvantaged.
"We work to identify and support students so that they can move ahead as they are successful, and we sometimes make moves mid-year," Allen said. "Many kids move ahead in elementary school, but many of our students make the leap in sixth or seventh grade."
Some skeptics worry that kids are being rushed and the math curriculum is being watered down.
Illinois elementary school pupils passed the newly revamped state achievement exams at record rates last year, but critics suggest it was more the result of changes to the tests than real progress by pupils.
State and local educators attribute the improvement to smarter pupils and teachers' laser-like focus on the state learning standards—the detailed list of what pupils should know at each grade level. They also say that the more child-friendly exams, which included color and better graphics, helped pupils.
But testing experts and critics suggest that the unprecedented growth is more likely the result of changes to the exams.
Most notably, the state dramatically lowered the passing bar on the 8th-grade math test. As a result—after hovering at about 50 percent for five years—the pass rate shot up to 78 percent last year.
While the number of test questions remained generally the same, the number that counted on pupil scores dropped significantly.
The writing of textbooks and making them freely available on the web is an idea whose time has arrived. Most college mathematics textbooks attempt to be all things to all people and, as a result, are much too big and expensive. This perhaps made some sense when these books were rather expensive to produce and distribute--but this time has passed.
A few years ago when I first posted a list of mathematics textbooks freely available on line, there existed only a handful of such books. Now there are many. The list here has grown and grown and is perhaps in serious need of some kind of organization into topics. There are also now many other sites at which there are links to on-line mathematics books and lecture notes. This site is far from comprehensive and I have considered abandoning it. Many people, however, still seem to find it useful, and so I shall continue to maintain it for a while.
Too many grads of the Milwaukee Public Schools wind up in remedial classes in math when they pursue college. Key educational leaders in the city have come up with a proven plan to reverse this alarming trend - a plan Gov. Jim Doyle has proposed to finance with $15 million in state money as part of his $80 million financial package to help Milwaukee over two years.
Raising math achievement in the state's sole big city is all the more reason to support that package. Math proficiency among workers can attract good jobs to Milwaukee. And the better the city does economically, the better the state does.
The "Math Coach" model mentioned by the J-S is also under discussion in Madison.
I believe that the school board voted to move forward on the superintendent's recommendation to form a math task force. The board asked the administration to:
Initiate and complete a comprehensive, independent and neutral review and assessment of the District's K-12 math curriculum.
· The review and assessment shall be undertaken by a task force whose members are appointed by the Superintendent and approved by the BOE. Members of the task force shall have math and math education expertise and represent a variety of perspectives regarding math education.
· The task force shall prepare and present to the BOE a preliminary outline of the review and assessment to be undertaken by the task force. The outline shall, at a minimum, include: (1) analysis of math achievement data for MMSD K-12 students, including analysis of all math sub-tests scores disaggregated by student characteristics and schools; (2) analysis of performance expectations for MMSD K-12 students; (3) an overview of math curricula, including MMSD's math curriculum; (4) a discussion of how to improve MMSD student achievement; and (5) recommendations on measures to evaluate the effectiveness of MMSD's math curriculum. The task force is to present the preliminary outline and a timeline to the BOE for comment and approval.
· The task force is to prepare a written draft of the review and assessment, consistent with the approved preliminary outline. The draft is to be presented to the BOE for review and comment.
· The task force is to prepare the final report on the review and assessment.
More details of the superintendent's plans are here.
Many people still see mathematics as a difficult subject that only a select group of students with special abilities can master. Learning math, they believe, consists of memorizing facts and mastering the application of complicated concepts and procedures.
“That’s simply not true,” says Thomas Carpenter, who has plenty of research to justify his succinct rebuttal.
A pioneering cohort of education researchers at UW-Madison – led by Carpenter, Thomas Romberg, and Elizabeth Fennema, all emeriti professors in the Department of Curriculum and Instruction – have shown, for instance, that children of all abilities enter school with an informal base of mathematical knowledge that enables them to learn more substantive material than traditionally taught.
For more than 30 years, these researchers have put the learning of mathematics under the microscope in search of ways to improve teaching and student understanding. They’ve found, for instance, that math instruction can be strengthened by tapping into children’s informal knowledge, by teaching them to use the same practices as mathematicians, and by engaging them in real-world problem-solving instead of rote drills on abstract skills.
By making math more accessible to students of all ages and abilities, they hope that more people will recognize mathematics as they do – as a language for thought.
Having established a solid foundation, the trail-blazing cohort led by Carpenter, Romberg, and Fennema in recent years has been passing the torch at UW-Madison to a new generation of scholars.
“The Mathematics Education area is in good hands,” says Eric Knuth, associate professor in the Department of Curriculum and Instruction, who leads a group that includes three assistant professors – Amy Ellis, Victoria Hand, and Edd Taylor. Adapting a phrase used by Sir Isaac Newton, Knuth adds, “We are continuing on the shoulders of giants.”
Like those giants, all four are engaged in research aimed at adding to the body of knowledge of how diverse populations of students learn and understand mathematics. Likewise, they are dedicated to equipping current and future teachers with the best practices, based on the latest knowledge, for supporting all students in their development of mathematical understanding and reasoning.
The path of giants
Tom Romberg describes mathematics as “a human activity involving the ability to represent quantitative and spatial relationships in a broad range of situations, express those relations using the language of mathematics, and use various techniques to carry out numerical procedures.” While humans have used mathematics for centuries to help make sense of the world, he explains, research on the teaching and learning of math is a relatively young discipline.
Romberg is widely recognized for playing an instrumental role in creating the mathematics education research community. Since the late 1960s, he has held numerous leadership posts, including the chairmanships of the Research Committee for the National Council of Teachers of Mathematics (NCTM), the Special Interest Group in Mathematics Education for the American Educational Research Association, and the North American branch of the International Group for the Psychology of Mathematics Education.
In the 1990s, he chaired the NCTM committee that produced the mathematics curriculum and assessment standards, marking the start of the standards movement in education. He notes, “These documents have had considerable impact throughout the world.”
While the accomplishments to date have been substantial, Romberg and his colleagues acknowledge that plenty of work remains. “While all instructional programs have a goal of teaching mathematics so that students ‘understand,’ there has been little evidence that the goal has been reached,” he says.
With evident pride, Romberg and Tom Carpenter describe the contributions of mathematics education research at UW-Madison.
“As a consequence of our program of research for over 30 years, we have developed a workable conception of how to characterize ‘student understanding’ and some ‘powerful practices’ that lead to such understanding,” Romberg explains. “The impact of these conceptions is reflected in our most recent work on teaching early algebra, the development of a middle-school curriculum (Mathematics in Context), and the creation of a classroom assessment system.”
“We have been instrumental in bringing together research on the development of students’ mathematical thinking and the research on classroom interactions and classroom processes,” adds Carpenter, whose credits include serving as editor of NCTM’s Journal for Research in Mathematics Education, the leading journal in the field. He also has been honored for his research publications by the NCTM and the American Educational Research Association.
“This has been a major development in research during the last 15 years,” he says, “and our faculty members have played major roles both in articulating the need and conceptual framework for the integration and in the specific research that was at the forefront of the changes.”
Carpenter also points to his collaboration with Fennema – who is especially known for her research on gender differences in learning mathematics – and others in the development of Cognitively Guided Instruction, a highly regarded professional development program. CGI prepares elementary school teachers to recognize and build on their students’ informal mathematical knowledge by providing a framework that teachers can use in making their own instructional decisions.
“I would consider the remarkable accomplishments of teachers I have worked with in CGI as one of the most significant and satisfying aspects of my career,” says Carpenter. “Elizabeth and I clearly cannot take credit for all they have accomplished, but my relations with them and whatever I contributed to them has been exceptionally rewarding.”
In her CGI research of children in grades 1-3, Fennema noted gender differences in the strategies boys and girls used to solve problems, although not in the results. Girls tended to use more concrete strategies like modeling and counting, while boys used more abstract strategies. Fennema says this study revealed that gender differences emerged earlier and were more complex than previously recognized.
Both Romberg and Carpenter have directed the National Center for Improving Student Learning and Achievement in Mathematics and Science (NCISLA), a decade-long (1995-2004), federally funded initiative based at the Wisconsin Center for Education Research (WCER). NCISLA involved researchers at six institutions collaborating with K-12 teachers to advance effective reform of mathematics and science.
The researchers found, for example, that children are capable of learning more complex ideas at earlier ages than traditionally thought, that teachers need more substantive professional development about student thinking and subject matter, and that standardized tests do not adequately assess students’ long-term growth of knowledge nor depth of understanding.
Carpenter, Romberg, and other NCISLA staff summarized the center’s work in Understanding Mathematics and Science Matters (Mahwah, N.J.: Lawrence Erlbaum, 2005), and created a multimedia product, Powerful Practices in Mathematics and Science (Madison, Wis.: NCISLA, 2004) for use by practitioners.
Beyond the research findings and publications, the Mathematics Education program can measure its enduring influence in terms of people. “One of our most significant contributions has been the outstanding graduates of our program who have made important contributions to mathematics education,” Carpenter notes.
Since 1980, UW-Madison has conferred 84 Ph.D.’s in mathematics education and has graduates on the faculties of many universities, including major state universities in California, Georgia, Texas, Illinois, Colorado, Arizona, Missouri, Delaware, Indiana, Pennsylvania, and Minnesota.
New faces, same focus
Effective mathematics instruction, explains Eric Knuth, involves three key components: understanding how children learn, preparing teachers who can tap into and build upon that knowledge, and having a curriculum that supports these efforts. Like the pioneers who preceded them, Knuth and his mathematics education colleagues are engaged in all three parts.
Like Carpenter and others, Knuth and Amy Ellis – who joined the faculty in 1999 and 2004, respectively – are interested in promoting the development of algebraic reasoning. Math researchers describe algebra – which introduces students to the use of symbolic representations – as the gatekeeper between the concrete calculations of arithmetic and higher levels of mathematics.
“A lack of success in algebra means losing opportunities for advanced studies,” Knuth explains. Ellis notes that algebra – which involves “the study of structures and systems generalized beyond specific computations and relations” – plays a vital role in access to college and careers in the sciences and engineering, which are associated with higher earning power.
They regard the development of algebraic reasoning as far too important to wait until eighth or ninth grade, when many students first encounter algebra. The seeds of algebraic reasoning need to be planted and nurtured in the elementary and middle school grades, they say.
“We want students to move beyond solving one problem,” Ellis says.
In studies funded by the National Science Foundation (NSF), Knuth and Ellis are looking at the development of key practices used by mathematicians and scientists –generalization, modeling, and proof/justification – that are often not emphasized by traditional instruction.
Algebra marks the first time that students are encouraged to generalize patterns, relations, and functions, says Ellis, adding “it’s fairly common for them to struggle with this.”
Ellis, whose work on generalization is funded by a three-year NSF Research on Learning and Education (RoLE) grant, describes generalization as “a sophisticated mathematical activity that involves extending the range of reasoning beyond one specific problem.”
She has found that the development of the abilities to make generalizations and to construct arguments to justify mathematical claims seem to go hand in hand. She also has seen that grounding abstract lessons in measurable situations enhances students’ abilities to generalize.
In a five-year, longitudinal study funded by an NSF Career grant, Knuth has been examining how middle school students acquire and develop their understanding of what constitutes evidence and justification and how such understandings can be refined and extended. Traditionally, students first encounter – and struggle with – justification and proofs in high school geometry.
Knuth and Ellis also have been working with Charles Kalish, professor of educational psychology, to study relationships between student reasoning inside and outside of math. Understanding how children develop their reasoning abilities, especially those related to mathematics, can lead to instructional practices that support and foster their development.
Knuth and other UW-Madison researchers have looked at such essential concepts as how elementary and middle school students understand the equal sign (=). They’ve found that, instead of recognizing that this symbol indicates a relationship – that one side is equivalent to the other – many children interpret it as something like “find the total,” “the answer comes next,” or “do something.”
NCISLA’s Powerful Practices video provides an example: Asked to fill in the blank on 8 + 4 = __ + 5, a fourth-grade class reaches a quick consensus that the correct answer is 12 (the sum of 8 and 4, ignoring the 5). Instead of correcting them, the teacher poses a series of number sentences that prompt the students to re-evaluate their understanding of the equal sign and, ultimately, recognize that the correct answer to the original question is 7.
“We need to provide these kinds of experiences for kids much earlier,” Knuth says.
Edd Taylor and Vicki Hand – who joined the faculty in 2004 and 2005, respectively – address how issues of diversity and equity affect the teaching and learning of mathematics – an area where Elizabeth Fennema and other UW-Madison faculty have made significant contributions. Both Taylor and Hand are involved with Diversity in Mathematics Education (DiME), the National Science Foundation Center for Learning and Teaching based at UW-Madison and led by Tom Carpenter.
DiME – a consortium consisting of UW-Madison, the University of California at Los Angeles, and the University of California at Berkeley, and school districts in Madison, Los Angeles, and Berkeley – is engaged in preparing a new generation of mathematics education scholars, creating professional development programs for teachers, and facilitating research on equity issues in mathematics education. More information about this project is available online at www.wcer.wisc.edu/dime/.
To the casual observer, the teaching and learning of mathematics might not seem like something that’s affected by ethnic and cultural diversity. Yet, Hand notes, “The notion that mathematics education is culture-free is problematic.”
The broader cultural and social context in which mathematics education takes place influences teachers’ perceptions of what productive and unproductive learning look like – for instance, what “counts” as a justification for students’ mathematical ideas. Hand says misalignments can occur when these cultural differences aren’t taken into account.
Hand has examined structural issues, such as the impact of tracking on opportunities for learning and students’ trajectories for higher education. She has noted that, for a variety of reasons, students of color more often end up in low-tracked classes. Often, these classrooms are less rigorous and put students on a trajectory that doesn’t prepare them for college, she explains. This perpetuates the achievement gap, and feeds the stereotypical view that students of color cannot do math. DiME researchers have found that tracking, even when eliminated as policy, might continue in practice.
Hand also considers broader issues – for example, how the inequitable distribution of high-quality teachers across urban and suburban schools affects students’ opportunities to learn – as she investigates the interplay of structure and student backgrounds.
In his research, Taylor looks beyond the conventional methods used by the mathematics education community at the informal ways children think about math and solve problems outside of school. For instance, he has studied the mathematical development of children who spend money at corner stores in low-income neighborhoods.
Taylor explains that students might solve problems more easily if linked to their everyday practices. For example, a traditional problem – e.g., 160 – 100 = __ – can be presented in a way that draws upon their understanding of money: “If you have $160 and I take away $100, how much do you have left?”
Making teachers more aware of cultural understanding and experiences outside of the classroom can help them create classroom environments that tap into how their students reason through mathematics, he explains. He plans to extend his investigation of math reasoning outside of school to religious organizations and such practices as tithing.
“We want teachers to honor more ways of doing math,” he says. “That’s just good mathematics.”
Influencing practice
“The research has to impact more than just the academic community,” says Knuth.
He and his colleagues underscored the importance of working directly with classroom teachers and connecting their research to the preparation of new teachers. The bridge between research and classroom instruction includes curriculum development and effective teacher education and professional development.
“The kind of research we do has us engaged in the local schools,” explains Ellis. In addition to advancing the research, this benefits the school community and helps teachers address current needs.
Knuth and Ellis design and run the preparation program for secondary mathematics teachers. As the program director, Knuth arranges field placements for pre-service teachers, oversees the teaching assistants who teach methods courses and/or provide field placement supervision, and communicates with cooperating teachers. Taylor directs the preparation program for elementary mathematics teachers.
All four teach also undergraduate courses. Knuth has a class on teaching mathematics with technology. Hand, Taylor, and Ellis have taught various methods courses. Ellis helps run a seminar for pre-service teachers in their final year, and Hand has co-taught a geometry content course within the Mathematics Department for pre-service teachers.
“We all work with graduate students, as well,” Ellis adds. “There is a core sequence of four graduate courses that our math-ed students take, and we all four teach these courses.”
And, all four work with in-service teachers.
Knuth has directed several professional development programs for secondary school mathematics teachers, ranging from a three-year program designed to help high school teachers learn to teach with technology to multi-year programs designed to help middle-school teachers foster students’ mathematical reasoning.
He and Ellis ran a professional development program for pre-service teachers and their cooperating teachers that was geared toward promoting the mentoring relationship. The program was funded by a small grant from the Calculus Consortium for Higher Education.
Through DiME, Hand and Taylor have been involved in creating professional development programs for local school districts to make teachers aware of the learning opportunities that they create. Hand conducts professional development for Madison teachers on equity in mathematics instruction.
Hand and UW-Madison graduate students work with math teachers in the Madison Metropolitan School District in a group designed as a venue for sharing knowledge. She says that efforts by teachers to improve mathematics education for all students in the district have made significant progress over the last three years in narrowing the achievement gap.
The Mathematics Education group also has collaborated with the Mathematics Department to improve the preparation of middle school teachers in both content and teaching diverse populations.
“Teachers need to be given more respect for work they do in their field,” Hand says. “It’s not just about knowing mathematics, but about knowing how to teach mathematics to diverse learners.”
“The research influences how we teach the teachers,” Ellis says. “The teacher’s role is critical in shaping student reasoning.”
“In the end,” Knuth says, “we want all students to learn to meaningfully engage in mathematical practices and to develop increasingly more sophisticated ways of engaging in those practices.”
Mathematics education seems to be very subject to passing trends - surprisingly more so than many other subjects. The most notorious are, of course, the rise of New Math in the 60s and 70s, and the corresponding backlash against it in the late 70s and 80s. It turns out that mathematics education, at least in the US, is now subject to a new trend, and it doesn't appear to be a good one.
To be fair the current driving trend in mathematics education is largely an extension of an existing trend in education generally. The idea is that we need to cater more to the students to better engage them in the material. There is a focus on making things fun, on discovery, on group work, and on making things "relevant to the student". These are often noble goals, and it is something that, in the past, education schemes have often lacked. There is definitely such a thing as "too much of a good thing" with regard to these aims, and as far as I can tell that point was passed some time ago in the case of mathematics.
was recently trying to list the 10 most encouraging initiatives by black people in 2006 and I thought I’d share one with you. It’s the Baltimore Algebra Project, a group of African American inner-city teens who’ve evolved from tutors to activists in an effort to force change in the failing Baltimore City School system. The Algebra Project, many of you may know, was created by the brilliant soft-spoken civil rights activist and organizer Robert Moses, who left the U.S. to live in Africa, in the 1960s. When Moses returned to the U.S., he became convinced that the abysmal performance of African American students in math and science are a major barrier to full citizenship and empowerment. He created a program designed to help African American students excel in math in science. There are Algebra Projects in several U.S. cities. The Baltimore Algebra Project began as a tutoring program, but the young people in the project – students at many of the city’s struggling schools – have become increasingly more activist over the past 3 years. Finally, frustrated at continuing inequities in the school system, the Project announced the launch of “Freedom Fall” [fascinating - more at Clusty] this past September. They marched on the headquarters of the school board, and in a stroke of courage and brilliance created an alternative school board, called the Freedom Board.
Watch an excellent explanation of current math instruction and alternatives to it. I've never before seen such clear demonstrations of current math education. It really helps make the current math controversies much more concrete. Go to You Tube.
It's also different from American math in that fewer topics are taught in an academic year, giving the instructor the opportunity to teach the concept until it is mastered. "There's a tendency in the United States to teach a topic, then it's never seen or heard from again," said Jeffery Thomas, president of SingaporeMath.com Inc., the official distributor of the math books based in Oregon City, Ore.
The American Institute for Research, one of the largest behavioral and social science research organizations in the world, says Singapore Math is better than American math because Singapore's textbooks provide a more thorough understanding of concepts, while traditional American math books barely go beyond formulas and definitions. Before someone in Singapore can become a teacher, she must demonstrate math skills superior to her American counterparts, according to the AIR, which is based in Washington, D.C. Additionally, Singapore offers an alternative math framework for low-performing students, but at a slower pace and with greater repetition.
Madison School Board Discusses an Independent Math Curriculum Review
The Madison School Board's 2006/2007 Goals for Superintendent Art Rainwater included the "Initiatiation and completion of a comprehensive, independent and neutral review and assessment of the District's K-12 math curriculum". Watch the discussion [Video] and read a memo [240K PDF] from the Superintendent regarding his plans for this goal. Much more here and here.
Barbara Lehman kindly emailed the Board's conclusion Monday evening:
It was moved by Lawrie Kobza and seconded by Ruth Robarts to approve the revised plan for implementation of the Superintendent’s 2006-07 goal to initiate and complete a comprehensive, independent, and neutral review and assessment of the District’s K-12 math curriculum as presented at this meeting, including extension for completion of the evaluation to the 2007-08 school year. The Board of Education shall receive a report in 2006-07 with analysis of math achievement data for MMSD K-12 students, including analysis of all math sub-test scores disaggregated by student characteristics and schools in addition to reports in subsequent years. Student representative advisory vote * aye. Motion carried 6-1 with Lucy Mathiak voting no.
Professors are constantly asked if their students are better or worse today than in the past. This paper answers that question for one group of students.
For my fall 2006 Calculus I for the Biological and Social Sciences course I administered the same final exam used for the course in the fall of 1989. The SAT mathematics (SATM) scores of the two classes were nearly identical and the classes were approximately the same percentage of the Arts and Sciences freshmen. The 2006 class had significantly lower exam scores.
This is not a traditional research study in mathematics education. The value of this study is probably in the rarity of the data, which compares one generation to another.
....
Nineteen eighty-nine is, in mathematics education, indelibly tied to the National Council of Teachers of Mathematics’ publication, Curriculum and Evaluation Standards for School Mathematics (1989), which downplayed pencil and paper computations and strongly suggested that calculators play an important role in K-12 mathematics education. My 2006 students would have been about two years old at the time of this very influential publication, and it could easily have affected the mathematical education many of them received. Certainly, one possibility is that mathematics preparation is down across the country, thus limiting the pool of well prepared college applicants.
Wilson is a Professor of Mathematics at Johns Hopkins University.
I would like to thank the many of you that have supported our efforts to bring together our many promising young mathematicians for a day of comaraderie and competition. Many of you have offered kind words, your help, or your $$. All are greatly appreciated!
As a result of your support, we will be holding a Middle School Mathfest on February 21st and Elementary (East & West) Mathfests on March 2nd and 12th.
We are currently planning the events, but the schedule will include a talk from a math professor, learning about a challenging math topic, and individual and team contests.
At the elementary level, the school will be asked to choose a team consisting of a total of eight 4th and 5th graders. For middle schools, the TAG department collaborated with learning coordinators to select students.
For the math competition, we’d love to have a celebrity team join us. Perhaps, TV personalities, UW athletes, the mayor, etc. If anyone would like to take on such a cause and has some connections, it would be great!
We would like to run a first-class event for these first-class students. Additional funds could be used. If any group or individual wishes to contribute, please contact Ted Widerski, TAG Resource Teacher at twiderski@madison.k12.wi.us or at 663-5221.
What is 256 times 98? Can you do the multiplication without using a calculator? Two thirds of Massachusetts fourth-graders could not when they were asked this question on the statewide MCAS assessment test last year.
Math education reformers have a prescription for raising the mathematical knowledge of schoolchildren. Do not teach the standard algorithms of arithmetic, such as long addition and multiplication, they say. Let the children find their own methods for adding and multiplying two-digit numbers! For larger numbers, let them use calculators! One determined reformer puts it decisively: "It's time to acknowledge that continuing to teach these skills (i.e., pencil-and-paper computational algorithms) to our students is not only unnecessary, but counterproductive and downright dangerous."
Mathematicians are perplexed, and the proverbial man on the street, when hearing the argument, appears to be perplexed as well: improve mathematical literacy by downgrading computational skills?
Yes, precisely, say the reformers. The old ways of teaching mathematics have failed. Too many children are scared of mathematics for life. Let's teach them mathematical thinking, not routine skills. Understanding is the key, not computations.
Mathematicians are not convinced. By all means liven up the textbooks, make the subject engaging, include interesting problems, but don't give up on basic skills! Conceptual understanding can and must coexist with computational facility - we do not need to choose between them!
Financially Support Madison Schools' Math Festival
Ted Widerski:
The Talented and Gifted Division of MMSD is busy organizing ‘MathFests’ for strong math students in grades 4 – 8. These events are planned to provide an opportunity for students to interact with other students across the city who share a passion for challenging mathematics. Many of these students study math either online, with a tutor, by traveling to another school, or in a class with significantly older students.
These events will be hosted by Cuna Mutual Insurance and American Family Insurance. Students will have an opportunity to learn math in several ways: a lecture by a math professor, group learning of a new concept, and individual and small group math contests. Over 300 students from 38 schools will be invited to participate.
The funding for this project is challenging as there are no significant MMSD funds available. A plea for funding in the last several weeks has resulted in gifts totaling about $1000. Those gifts will guarantee that the middle school Mathfest will be held on Wednesday, February 21st.
In order to hold the Elementary MathFests on each side of Madison would require additional donations. Gifts totaling $1600 would provide the necessary support to provide 200 students with a very special experience. If anyone or any group would like to contribute, it would be most appreciated. Please contact me: Ted Widerski, TAG Resource Teacher at: twiderski@madison.k12.wi.us
EVERY YEAR, as many California high school seniors struggle with basic algebra, which is required for graduation, Times readers complain, "Who needs it? How many students will ever use it?" Well, I use it every day; I'm using it now, even though I haven't worked an algebraic equation since my son was in the seventh grade several years ago.
Mathematics and science are unnatural practices. As physics professor Alan Cromer has brutally and elegantly written, "the human mind wasn't designed to study physics," and of course mathematics is the language of physics. "Design" here does not indicate an intelligent designer, which would suggest a creator with a math phobia. Rather it indicates evolutionary processes by which the human brain and mind have come to be what they are.
During the approximately 2 million years that it took for our Homo forebears to progress from habilis to sapiens, they had little use for mathematical reasoning abilities. Their sapientia seems to have been more suited in a good Darwinian sense to the immediate demands of their survival, such as eating, mating and avoiding premature death. Whether for good or ill, as time may tell, our situations have changed much in the last few thousand years, and so have demands on our poor, lagging minds. I don't mean only the obvious and oft-repeated claim that technical jobs require greater skills. That is clear enough in auto mechanics and computer programming. I mean the need to think abstractly, systematically and rationally in various ways.
But one of the secrets of KIPP's success in attracting the brightest young teachers and raising achievement for low-income children throughout the country is its insistence on letting good teachers decide how they are going to teach. KIPP principals, such as Johnson, have the power to hire promising young people such as Suben and let them follow their best instincts, as long as the results -- quality of student work, level of student classroom responses, improvement in standardized test scores -- justify the teacher's confidence in her approach.
Johnson and Schaeffler were variously startled, amused and intrigued by Suben's determination to do math her way. They say they are also very pleased with the results, which justify both the hiring of Suben and the KIPP insistence on lively engagement of every child in class.
Madison United for Academic Excellence, 12-December-2006 Presentation
The Madison United for Academic Excellence (MUAE) meeting of 12-December-2006 offered a Question and Answer session with Madison Director of Teaching and Learning, Lisa Wachtel, and Brian Sniff, District K-12 Math Coordinator.
A list of questions was prepared and given to the speakers in advance so they could address the specific concerns of parents.
The video
of the meeting is 130MB, and 1 hour and 30 minutes long. Click on the image at left to watch the video.
The video contains chapter headings which allow quick navigation to sections of the meeting. The video will play immediately, while the file continues to download.
Listing of Superintendent's Goals for comprehensive review, as set by the Board of Education
K-5 Math Standards, Resources, and role of Teaching and Learning
Professional development for K-5 teachers
5th Grade Math Assessment Pilot project for advanced students
Middle school math, 6th to 8th grade
Math certification of middle school math teachers, with an extended discussion of the statistic that only 5% of middle school math teachers are math certified,
comparing Wisconsin to bordering states
WKCE tests and testing in general
Discussion by audience of recent studies and trends in math preparation for college
Gov. Chris Gregoire urged lawmakers Monday to plow nearly $200 million into Washington's classrooms to help students who are struggling with math and science.
The governor's sweeping proposal includes smaller middle school and high school math and science classes, recruiting hundreds of new math and science teachers, offering master teachers up to $10,000 in annual pay bonuses and expanding tutoring and other help for struggling students. She also wants to beef up local districts' curriculum to "world-class" standards and then design achievement tests accordingly.
The latest, December 2006 issue of the American Mathematical Monthly, an official publication of the Mathematical Association of America, contains an 18-page article entitled "A study of Core-Plus students attending Michigan State University" by Richard Hill and Thomas Parker, professors at MSU who teach pre-service high school math teachers.
They state that, "as the implementation progressed, from 1996 to 1999, Core-Plus students placed into, and enrolled in, increasingly lower level courses; this downward trend is statistically robust (p<.0005). The percentages of students who (eventually) passed a technical calculus course show a statistically significant (p<.005) decline averaging 27 percent a year; this trend is accompanied by an obvious and statistically significant increase in percentages of students who placed into low-level and remedial algebra courses.
The grades the Core-Plus students earned in their university mathematics courses are also below average, except for a small group of top students. ACT scores suggest the existence but not the severity of these trends."
Core-Plus is used in some Madison High Schools. Much more on math here.
For many college students, high school math is but a distant memory of derivative functions and playing games on graphing calculators.
When a professor mentions that certain math skills are necessary for his class, it sends the lecture hall into a frenzy of questions and worry. It seems that math, more than any other subject, is lost in the student’s transition from high school to college.
With a $69,000 grant, University of Wisconsin-Oshkosh geology professor Jennifer Wenner intends to figure out why.
“There are a couple of hypotheses,” Wenner said. “From my own experience, some people get it in their head that they can’t do math, and they get this block about it.”
As controversies rage about the best way to teach math and whether students should be allowed to use calculators — incidentally, the State Education Department on Dec. 1 declared that calculators will now be considered teaching materials, like textbooks, and schools must provide them to students — the real question is why children in this country are not better at learning math. Is it the curriculum? Is it the equipment? Is it the tests? And, haven’t we heard all this before?
In 1957, the Russians sent up Sputnik, stealing a march in the space race, and the United States decided that something had to be done, in a hurry, about math and science instruction in this country. Thus were born National Science Foundation grants to teachers of math and science so that they might get master’s degrees in their subjects rather than in education. A generation of teachers excitedly brought their advanced knowledge back to their classrooms.
Also in the early ’60s, the so-called New Math was influencing curricula across the country. The result was an emphasis on concepts to the detriment of the basics. Naturally, there was an eventual backlash when parents could no longer understand their children’s homework.
By the ’70s, teachers in middle and high schools were noticing that students were getting weaker on their recall of times tables and other basics. This could not then be blamed on calculators because there were no calculators yet in general use.
Connected Math textbooks for one year and the equivalent Singapore Math version. Brandon Lorenz:
A recent meeting at Central Middle School attracted about 50 people to discuss concerns with the district's Connected Mathematics Project, a new constructivist approach that was introduced in sixth, seventh and eighth grades this year.
Another meeting for parents is scheduled for Dec. 13 at Horning Middle School.
Such new math programs rely on more hands-on activities and problem-solving skills than traditional programs.
Speaking with Zaborowski, Lynn Kucek said she was worried the math program would make it more difficult for her daughter, who does well in other subjects, to get into college.
It says the typical state math curriculum runs a mile wide and an inch deep, resulting in students being introduced to too many concepts but mastering too few, and urges educators to slim down those lessons.
Some scholars say the American approach to math instruction has allowed students to fall behind those in Singapore, Japan and a dozen other nations. In most states, they say, the math curriculum has swelled into a thick catalogue of skills that students are supposed to master to attain "proficiency" under the federal No Child Left Behind mandate.
Wisconsin students continue to fare far better on the state's standardized tests than they do on those given by the federal government, according to a new analysis that raises questions about what it means to be "proficient."
About 70% to 85% of Wisconsin students were considered proficient or better on the state's reading and math tests for the 2005-'06 school year. Yet only 33% to 40% of the state's fourth- and eighth-graders scored at least proficient on the most recent National Assessment of Educational Progress in those subjects, according to the study by the Wisconsin Taxpayers Alliance.
The state was one of 16 in the country that had a proficiency gap of 45 to 55 percentage points, the Taxpayers Alliance found. Several states, such as Oklahoma and Mississippi, had even larger differences between the percentage of students considered proficient by their states as opposed to the federal government.
"It just creates confusion," said Dale Knapp, research director for the Taxpayers Alliance. "We want a sense of what our students know, where they sort of stand. And we're really getting two different answers that are very different answers."
The blame doesn't necessarily fall on the Wisconsin Knowledge and Concepts Examinations, said Tony Evers, deputy superintendent of the state Department of Public Instruction, which administers the tests annually.
"Math is the same in Madison as it is in Missouri as it is in Mumbai." - Michael Petrilli,
Thomas B. Fordham Foundation, a group that has raised the idea of national standards
"What that ought to be is a big signal to the folks in Wisconsin that they really need to evaluate the rigor of their standards and their assessment." - Daria Hall, Education Trust
s a middle school tutor, I’m always amazed at the pride many schools feel because their middle school curriculum includes topics in pre-algebra/algebra. This sounds like good news until it becomes clear that it’s not pre-algebra that students find problematic: it’s basic arithmetic.
Enabling students to have rote facts at their fingertips endows them with great self-confidence and permits them to take risks with subsequent higher-thinking math skills. This self-confidence eliminates that “fear” of math that prevails in our culture.
When I was an elementary school student in the 1950s, what was drilled daily in the classroom was reinforced nightly with numerous homework problems.
This is a technique that not only allows students to master the math basics, it also instills a sense of self-esteem gained through accuracy, precision and academic discipline.
E. S. Goldberg
Miami, Nov. 14, 2006
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I was an educator in New York City for 31 years, and in my educational lifetime as dean of a Manhattan high school, a teacher in several junior and senior high schools and in summer and afternoon school tutorial programs, and a night adult-school teacher, I was involved in many new teaching programs.
Education is not an activity to promote politically correct reforms. Education is a process by which students are taught fundamentals in a structured environment with the least amount of distractions and political or doctorate-minded invasions.
The outrageous proposals to substitute the basics will always be with us, and the smart thing to do is not to waste the good taxpayer’s patience or money.
John A. Manicone
Port St. Lucie, Fla., Nov. 14, 2006
As a high school teacher of many years and a mother, I, too, am greatly concerned with curriculum revision that tends toward the dogmatic acceptance of one educational model over other models.
As most teachers know, there is not one path to mastery. What works well in one arena does not necessarily translate to another arena. Children who memorize multiplication tables have an easier time on standardized tests and in life than those who only know how to creatively group together dried kidney beans to figure out the process and answer.
Realistically, both models have a place in the classroom. But ultimately, at the end of the day, the person needs to know the answer.
Perhaps the problem lies with the commercialization of educational models and the proliferation of high-priced consultants. When incomes are determined by reinvention, then reinvention reigns over best practices. The question should not be what are the most interesting or creative models but what are the most effective strategies for teaching a particular subject.
Elizabeth Napp
Mount Kisco, N.Y., Nov. 14, 2006
To the Editor:
Isn’t there a very simple and obvious answer here? If the kids in Japan, Taiwan and elsewhere do so much better in math than our kids do, why not just use their textbooks and curriculum rather than reinvent the wheel?
Certainly, this would be a faster and more economical approach to this problem than reinventing curriculum and textbooks yet again.
Diana d’Ambra
Maplewood, N.J., Nov. 14, 2006
•
To the Editor:
No pun intended, the common denominator in predicting either the success or failure of any math curriculum — and I have been involved in a countless number of them during the past 45 years as a math educator — is the balance in it between theory and rote learning.
It didn’t harm me any to wait till I learned college-level and in some instances postgraduate-level mathematics to learn of the theoretical underpinnings of some algorithms. Frankly, frequently a greater level of mathematical maturity is needed to fully understand and appreciate such.
And let’s not forget the need for teachers who understand the nature of mathematics!
Milton L. Meller
Brooklyn, Nov. 14, 2006
•
To the Editor:
Thank you for publishing your article on the country’s lagging math scores.
I wrote a letter to the superintendent of my suburban Seattle school district when I was a junior in high school being poorly prepared for the SAT. I pointed out precisely the same problems with “reform math” that your article outlined.
I am now a sophomore in college and still paying the price for the poorly developed methods of “Integrated Mathematics.” You can be sure I will be forwarding a copy of this article to the superintendent, as well as updating her on my progress in remedial algebra. I’ll get the basics this time around; unfortunately, my parents are now paying $40,000 for them.
Alison Bailey
Portland, Ore., Nov. 14, 2006
•
To the Editor:
Raising the bar won’t help, unless the children are developmentally ready for the concepts being taught.
As a fifth-grade teacher in California, I am forced to teach concepts that I learned in junior high school (prime factorization, plane geometry, integers), in addition to some concepts I learned in high school, like the volume of a pyramid or copying a triangle with a compass. If that weren’t bad enough, I find that I spend much time trying to bring them up to snuff on doing all basic operations in decimals and fractions.
All of this would be great to use as enrichment, since the upper fourth of the class usually grasps the material. However, the rest of the class truly struggles. I would advise against using California’s math standards, unless they are thoughtfully pruned.
Carol Tensen
Burbank, Calif., Nov. 14, 2006
•
To the Editor:
One reads every day that American students are lagging in mathematics and sciences. Has anyone paid any attention to their English lately? We’re a country where the majority of people speak only one language, and that one they speak badly. Arts? Literature? History? Government? American students are lagging, period!
Well, I teach high school kids, and I've sat through about five hundred IEP meetings. I have sat through meetings for kids in middle school and then meetings for the same kids in high school. And there's one thing I can tell you.
In five years, their goals had not changed one bit. In middle school, they were only expected to do 70% of their homework at 70% accuracy, and in high school, they were still only expected to do 70% of their homework with 70% accuracy. And for those of you who are reaching for your calculators because of the New New Math, that means that they only had to get 49% of their math work correct. Ever. Now if one were to bring this up before an IEP meeting, one will get looked at in much the same way that people avert their eyes at the sight of road kill.
This does not equate to proficiency in a one-size-fits-all world.
But they strongly believe that their math textbooks should include actual math.
Donald's "Connected Mathematics" book at Harbour Pointe Middle School in Mukilteo asks him to arrange a list of 20 cities in order of their populations, all in the tens of millions.
Yes, he concedes, he must recognize differences among numbers, but it's a pretty low-level task for a bright sixth-grader, about as challenging as alphabetizing words.
But check out the next activity: Locate the cities on a map.
"That's not math," Donald protests. "That's geography."
The Chacon-Taylor children and their parents, Hugh Taylor and Monique Chacon-Taylor, are among Snohomish County families raising questions about the effectiveness of widely used math textbooks that encourage discovery and writing about math, but de-emphasize basics such as multiplication and long division.
They've joined other Washington parents in an organization called Where's the Math? that's calling on the state Office of Superintendent of Public Instruction (OSPI) to rewrite its K-12 math standards, select more effective textbooks and re-examine the math content of the Washington Assessment of Student Learning (WASL)
The calls for rethinking the state's math education come amid signs that the present system is failing large numbers of students. Just 51 percent of 10th-graders and 59 percent of fourth-graders passed the math section of the WASL in the spring. About 29,000 juniors haven't passed the WASL math test, which they must do to graduate in spring 2008..
According to the agenda for the Board of Education meeting on November 20, 2006:
It is recommended that the Board approve the 2006-07 goals for the Superintendent that require the Superintendent to:
a. Initiate and complete a comprehensive, independent and neutral review and assessment of the District's K-12 math curriculum.
The review and assessment shall be undertaken by a task force whose members are appointed by the Superintendent and approved by the BOE. Members of the task force shall have math and math education expertise and represent a variety of perspectives regarding math education.
The task force shall prepare and present to the BOE a preliminary outline of the review and assessment to be undertaken by the task force. The outline shall, at a minimum, include:
analysis of math achievement data for MMSD K-12 students, including analysis of all math sub-tests scores disaggregated by student characteristics and schools;
analysis of performance expectations for MMSD K-12 students;
an overview of math curricula, including MMSD's math curriculum;
a discussion of how to improve MMSD student achievement; and
recommendations on measures to evaluate the effectiveness of MMSD's math curriculum. The task force is to present the preliminary outline and a timeline to the BOE for comment and approval.
The task force is to prepare a written draft of the review and
assessment, consistent with the approved preliminary outline. The draft is to be presented to the BOE for review and comment.
The task force is to prepare the final report on the review and assessment.
b. Develop in collaboration with the Board and external advisors, a plan for the District to communicate to the community why parents or guardians should send their children to MMSD schools. Specific tasks include
determining what parents and guardians consider important in selecting schools;
determining whether and how MMSD schools provide what parents and guardians consider important in selecting schools;
using the information gained from parents and guardians, developing a vision of what MMSD should be in the future; and
developing a communications plan to promote MMSD schools and why parents or guardians should send their children to them. Timeframe to develop: 6 months.
c. Provide information to the Board in a clear, accurate, complete yet concise, and timely manner. The Board will evaluate progress on this goal through the use of a rating sheet for Board members to give periodic feed-back on the information they receive from the administration. Information provided to the Board shall be rated for timeliness, accuracy, organization and presentation.
d. Implement the Administrative Intern Professional Development Program. Program participants should be selected by the 4th quarter of this year. Special attention will be given to the recruitment of people of color and other historically under-represented groups in administrative positions in all employment categories of the District. (principals, building services, etc.) A report on the program shall be provided to the BOE at least annually.
National Council of Teachers of Math Changes Course on Teaching Math Fundamentals
SEATTLE — For the second time in a generation, education officials are rethinking the teaching of math in American schools.
The changes are being driven by students’ lagging performance on international tests and mathematicians’ warnings that more than a decade of so-called reform math — critics call it fuzzy math — has crippled students with its de-emphasizing of basic drills and memorization in favor of allowing children to find their own ways to solve problems.
At the same time, parental unease has prompted ever more families to pay for tutoring, even for young children. Shalimar Backman, who put pressure on officials here by starting a parents group called Where’s the Math?, remembers the moment she became concerned.
“When my oldest child, an A-plus stellar student, was in sixth grade, I realized he had no idea, no idea at all, how to do long division,” Ms. Backman said, “so I went to school and talked to the teacher, who said, ‘We don’t teach long division; it stifles their creativity.’ ”
And parents shouldn't only be concerned about math instruction. They should be looking hard at the reading and writing parts of their kids' educations, too. Are they learning grammar? Can they spell? Punctuate? Understand what they are reading? Most of the Ivy League English majors whose writing I grade have trouble in these areas, which suggests to me that most everyone their age does. I tend to assume that the students I see are among the most linguistically competent students of their generation--but there are still a lot of issues with things such as run-on sentences, comma splices, murky phrasing, limited vocabulary, dangling modifiers, spelling, and so on. That's the legacy of a pedagogical attitude toward literacy that mirrors the one the mother above encountered when she inquired why her son wasn't being taught basic math skills. When I taught high school English in a boarding school a couple of years ago, I found that a great many students there had abysmal language skills. Some bordered on functional illiteracy. When I asked whether the school taught grammar at any point, the head of school told me that teaching grammar thwarted students' creativity and stifled their interest in reading. The utter inadequacy of that outlook really hits home when you realize that it amounts to lying to parents and kids about their kids' abilities, and that it involves sending kids off to college without the skills they will need to succeed there.
For the second time in a generation, education officials are rethinking the teaching of math in American schools.
The changes are being driven by students’ lagging performance on international tests and mathematicians’ warnings that more than a decade of so-called reform math — critics call it fuzzy math — has crippled students with its de-emphasizing of basic drills and memorization in favor of allowing children to find their own ways to solve problems.
At the same time, parental unease has prompted ever more families to pay for tutoring, even for young children. Shalimar Backman, who put pressure on officials here by starting a parents group called Where’s the Math?, remembers the moment she became concerned.
“When my oldest child, an A-plus stellar student, was in sixth grade, I realized he had no idea, no idea at all, how to do long division,” Ms. Backman said, “so I went to school and talked to the teacher, who said, ‘We don’t teach long division; it stifles their creativity.
Grass-roots groups in many cities are agitating for a return to basics. Many point to California’s standards as a good model: the state adopted reform math in the early 1990s but largely rejected it near the end of the decade, a turnaround that led to rising math achievement.
“The Seattle level of concern about math may be unusual, but there’s now an enormous amount of discomfort about fuzzy math on the East Coast, in Maine, Massachusetts and Pennsylvania, and now New Jersey is starting to make noise,” said R. James Milgram, a math professor at Stanford University. “There’s increasing understanding that the math situation in the United States is a complete disaster.”
Problem: Find the slope and y-intercept of the equation 10 = x – 2.5.
Solution: The equation 10 = x – 2.5 is a specific case of the equation y = x – 2.5, which has a slope of 1 and a y-intercept of –2.5.
This problem comes from a 7th grade math quiz that accompanies a widely used textbook series for grades 6 to 8 called Connected Mathematics Program or CMP.[1] The solution appears in the CMP Teacher’s Guide and is supported by a discussion of sample student work.
Richard Askey, a mathematician at the University of Wisconsin at Madison, reported, “I was told about this problem by a parent whose child took this quiz. The marking was exactly as in the text.”[2] Students instructed and graded in this way learn incorrect mathematics, and teachers who know better may be undermined by their less informed peers, armed with the “solution.” This example is far from the only failing of CMP. Among other shortcomings, there is no instruction on division of fractions in the entire three year CMP series, and the other parts of fraction arithmetic are treated poorly.[3]
Is CMP just an anomaly? Unfortunately not. CMP is only one of more than a dozen defective K-12 math programs funded by the National Science Foundation. More specifically, the NSF programs were created and distributed through grants from the Education and Human Resources (EHR) Division within the NSF. In contrast to the NSF’s admirable and important role in supporting fundamental scientific research, the EHR has caused, and continues to cause, damage to K-12 mathematics education.
A nation full of students who enjoy mathematics and feel confident in the subject is not necessarily a nation that scores high on international math tests, a report being released this week concludes.
The report from the Brookings Institution suggests, in fact, that the so-called “happiness factor” in math may be inversely related to achievement. In countries where students express high levels of math confidence and enjoyment, it says, students tend to score below average on international math exams in 4th and 8th grades, and vice versa.
Students in the United States are among the world’s happiest, though their average scores are higher than those for most countries that rate strongly on the “happiness” scale.
By Debra Viadero, in Education Week, published October 18, 2006
“I’m not trying to say we should go out and destroy kids’ confidence,” said Tom Loveless, the author of the annual report and the director of the Brown Center on Education Policy at the Washington think tank. “What’s clear from these findings is happiness is not everything. Our national obsession with student happiness over academic content may, in fact, be hurting our children when considered in an international context.”
Other scholars, though, saw less cause for concern in the findings for American students.
“We’re scoring above the international average with kids who like math,” said David C. Berliner, an education professor at Arizona State University in Tempe. “That suggests we’re producing enough high-level math students to meet the needs of our economy.”
Mr. Loveless based his conclusions on 2003 results from the Trends in International Mathematics and Science Study, or TIMSS, which tested 4th graders from 25 countries and 8th graders from 46 countries. He compared the test scores with students’ responses to questions gauging their confidence in and enjoyment of math, and teachers’ ratings of the extent to which they made math lessons relevant to real life—strands that Mr. Loveless calls the “happiness factor.”
Sad in Singapore?
Of the 10 countries where 8th graders scored highest on average for confidence in their mathematical abilities, only two—Israel and the United States—scored above average for achievement. More than 40 percent of students in Egypt, Ghana, Israel, and Jordan said that they usually do well in math; students in all of the countries but Israel fell below the international average. The United States, where 22 percent of 8th graders expressed the same level of confidence, ranked ninth.
The bottom 10 countries in self-confidence, on the other hand, include some of the world’s highest-achieving nations in 8th grade mathematics—Singapore, Chinese Taipei, Hong Kong, Japan, and South Korea.
Even the least confident 8th graders in Singapore, on average, outscored the most confident American students on an international math test.
That pattern was the same, according to Mr. Loveless, among 4th graders and for questions gauging students’ enjoyment of math. Mr. Loveless could find no relationship, though, between math achievement and the degree of relevance in students’ math lessons.
Yet, within countries, the data showed the opposite pattern occurred: The happiest, most confident students were those with the highest test scores.
Mr. Loveless said that paradox may be due partly to differences in how cultures define success. It could also be explained, he said, by what researchers have dubbed the “frog-pond effect.” In other words, students may measure their own abilities against those of their peers.
“A lot of American kids think they’re good in math, and they may be good in the United States,” said Mr. Loveless. “But if they went to another country, their perceptions may change.”
The 29-page report also examines claims that the federal No Child Left Behind Act is prompting states to exaggerate the gains their students are making on state reading tests.
For that part of his study, Mr. Loveless compared five to seven years of data from state tests with states’ 4th and 8th grade scores on the National Assessment of Educational Progress, a federal program that periodically tests representative samples of students within states and nationwide. While the state-test scores are higher on average than the NAEP scores, the analysis showed, the gains they report vary by grade level and are not steep enough for states to meet federal targets by 2014, as the law requires.
“There’s no clear evidence,” Mr. Loveless concluded, “that states before or after NCLB did anything different.”
School Board members that ask questions are essential to public confidence in and strong oversight of our $332m+ district. Monday evening's Superintendent review discussion with respect to the district's controversial math curriculum was interesting in this respect. Watch the video or listen to the mp3 audio file. The math related discussion starts about 24 minute into the video and ends at about the one hour mark.
3 School Board seats are up for election in April, 2007. These meetings demonstrate the need for candidates with strong leadership and governance abilities with respect to the most important issues for our next generation: a world class curriculum.
Children who are turned off by math often say they don't enjoy it, they aren't good at it and they see little point in it. Who knew that could be a formula for success?
The nations with the best scores have the least happy, least confident math students, says a study by the Brookings Institution's Brown Center on Education Policy.
Countries reporting higher levels of enjoyment and confidence among math students don't do as well in the subject, the study suggests. The results for the United States hover around the middle of the pack, both in terms of enjoyment and in test scores.
In essence, happiness is overrated, says study author Tom Loveless."We might want to focus on the math that kids are learning and just be a little less obsessed with the fact that they have to enjoy every minute of it," said Loveless, who directs the Brown center and serves on a presidential advisory panel on math.
"The implication is not Let's go make kids unhappy,'" he said. "It's Let's give kids better signals as to how they're performing, relative to the rest of the world.'"
Other countries do better than the United States because they seem to expect more from students, he said. That could also explain why high performers in other nations express less confidence and enjoyment in math.
Here's a math problem for you: Count the excuses people are trotting out for why schoolkids in New York City and State did poorly in the latest round of math scores. The results showed just 57% of the city's and 66% of the state's students performing at grade level - and a steady decline in achievement as kids got older.
It's about family income, said an article in The New York Times. "The share of students at grade level in affluent districts was more than twice as big as in impoverished urban districts."
It's about unfair funding levels, said state education Secretary Richard Mills.
It's about class size, said activist Leonie Haimson.
Wrong again, claimed other observers. The real culprit was a new test.
If, like me, you're running out of fingers - and patience - there's a reason. Nobody spinning the test scores is zeroing in on the single biggest reason math achievement in New York City and state lags and will continue to lag: Our schools use a far-too-fuzzy curriculum that fails to give kids rigorous instruction in the basics.
In New York City, the program required in the vast majority of schools is called Everyday Mathematics. Chancellor Joel Klein swears by it. If you ask administrators to explain it, they'll use just enough jargon to make it sound decent.
But the truth is, Everyday Math systematically downplays addition, subtraction, multiplication and division, which everyone knows are the foundations for all higher math. Instead of learning those basic four operations like the backs of their hands, students are asked to choose from an array of alternative methods, such as an ancient Egyptian method for multiplication. Long division is especially frowned upon.
The performance of American students in mathematics is mediocre at best. In many cases, mathematics instruction is not serving our children's best interests. In order to help all students achieve success in school mathematics courses, have access to adequate preparation for the broadest options in high school math and science courses, and the opportunity to advance into mathematics based college courses and careers, it is important to examine the direction of recent attempts at mathematics education reform.
The Mathematical Education of Teachers [268K PDF] recommends that the mathematical education of teachers be viewed as a partnership between mathematics faculty and mathematics education faculty and further recommends that there needs to be more collaboration between mathematics faculty and school mathematics teachers. We will report on The Mathematics Semester at the University of Nebraska-Lincoln, a partnership that resulted from Math Matters, a NSF-CCLI grant.
The countries that outperform the United States in math and science education have some things in common. They set national priorities for what public school children should learn and when. They also spend a lot of energy ensuring that every school has a high-quality curriculum that is harnessed to clearly articulated national goals. This country, by contrast, has a wildly uneven system of standards and tests that varies from place to place. We are also notoriously susceptible to educational fads.
Editorial, New York Times, September 18, 2006
One of the most infamous fads took root in the late 1980's, when many schools moved away from traditional mathematics instruction, which required drills and problem solving. The new system, sometimes derided as ''fuzzy math,'' allowed children to wander through problems in a random way without ever learning basic multiplication or division. As a result, mastery of high-level math and science was unlikely. The new math curriculum was a mile wide and an inch deep, as the saying goes, touching on dozens of topics each year.
Many people trace this unfortunate development to a 1989 report by an influential group, the National Council of Teachers of Mathematics. School districts read its recommendations as a call to reject rote learning. Last week the council reversed itself, laying out new recommendations that will focus on a few basic skills at each grade level.
Under the new (old) plan, students will once again move through the basics -- addition, subtraction, multiplication, division and so on -- building the skills that are meant to prepare them for algebra by seventh grade. This new approach is being seen as an attempt to emulate countries like Singapore, which ranks at the top internationally in math.
All these references to Singapore are encouraging, given this country's longstanding resistance to the idea of importing superior teaching strategies from abroad. But a few things need to happen before this approach can succeed.
First of all, the United States will need to abandon its destructive practice of having so many math and science courses taught by people who have not majored in the subjects -- or even studied them seriously.
We also need to fix the current patchwork system of standards and measurement for academic achievement, and make sure that students everywhere have access to both high-quality teachers and high-quality math and science curriculums that aspire to clearly articulated goals.
Until we bite the bullet on those basic, critical reforms, we will continue to lose ground to the countries with which we must compete in the global information economy.
Report Urges Changes in the Teaching of Math in U.S. Schools
In a major shift from its influential recommendations 17 years ago, the National Council of Teachers of Mathematics yesterday issued a report urging that math teaching in kindergarten through eighth grade focus on a few basic skills.
If the report, ''Curriculum Focal Points,'' has anywhere near the impact of the council's 1989 report, it could signal a profound change in the teaching of math in American schools. It could also help end the math curriculum struggles that for the last two decades have set progressive educators and their liberal supporters against conservatives and many mathematicians.
Article by Tamar Lewin, New York Times, September 13, 2006
At a time when most states call for dozens of math topics to be addressed in each grade, the new report sets forth just three basic skills for each level. In fourth grade, for example, the report recommends that the curriculum should center on the ''quick recall'' of multiplication and division, the area of two-dimensional shapes and an understanding of decimals. It stopped short of a call for memorization of basic math facts.
The 1989 report is widely seen as an important factor nudging the nation away from rote learning and toward a constructivist approach playing down memorization in favor of having children find their own approaches to problems, and write about their reasoning.
''It was incredibly influential,'' said Chester E. Finn Jr., a Department of Education official in the Reagan administration. ''More than half the states explicitly acknowledged it in devising their own standards. This report is a major turnaround.''
Dr. Finn added, ''This is definitely a back-to-basics victory, emphasizing the building blocks children have always learned that a large part of the country believes are important, and moving away from the constructivist approach some educators prefer, in which children learn what they want to learn when they're ready to learn it.''
The president of the council, Francis Fennell, a professor at McDaniel College in Maryland, played down the degree of change the new report represented, adding that he did not like talk of ''math wars.''
Dr. Fennell pointed out that the report did not take a stand on instructional methods, allowing teachers to use whatever works: worksheets, calculators or materials like rods that children can manipulate to try out different numeric relationships.
In a way, the new report stands as a plea for consensus. ''Take this opportunity to share the best that we know as we work together to produce improved tools that support our shared goal of a high-quality mathematics education for every student,'' the introduction says.
And consensus may be at hand. Some of the same math professors who last year released a chart -- aimed directly at the National Council of Teachers of Mathematics -- detailing the ''10 myths'' of ''N.C.T.M. (Fuzzy)'' math now find themselves generally in line with the new report.
''It represents an enormous evolution from the 1989 standards, from the perspectives and attitudes that were present in both camps then,'' said R. James Milgram of Stanford, one of the ''10 Myths'' signers. ''The fact that we are now collaborating is incredibly important.''
Math skills have taken center stage in the national debate over education since the 2003 Trends in International Mathematics and Science Study found that Asian students outperformed American students. Almost a quarter of American college freshmen take a remedial math course, according to the National Science Board.
Most states now have math curriculum standards setting forth dozens of topics, or ''learning expectations,'' to be covered in each grade -- so many that it is difficult to ensure that students will learn the most important math skills.
The report notes great inconsistencies in which math topics are covered in which grades, how they are defined and what students are expected to learn.
It stops short of recommending a national math curriculum but does try to outline a curriculum narrowed to the most important skills in each grade.
''We tried to identify the really key things, the things a student has to focus on to progress,'' said Sybilla Beckmann, a University of Georgia professor who helped write the report. ''People like to paint this in terms of black and white, back-to-basics and constructivism, but I think there's a lot of agreement about what students need to know.''
It's probably natural for leaders of organizations to be upbeat about their institutions, and the nation's school children might not be well-served by superintendents and principals who see public schools as places of disappointment, failure and ineptitude. Even so, the positive, almost buoyant outlook of school leaders nationwide captured in this fourth installment of Reality Check 2006 may come as something of a surprise to reformers and critics, including regulators enforcing No Child Left Behind. In many respects, local school leaders seem to operate on a very different wavelength from many of those aiming to reform public schools. The two groups have different assumptions about how much change today's public schools really need. Even when they see the same problems, they often seem to strive for different solutions.
To most public school superintendents - and principals to a lesser extent - local schools are already in pretty good shape. In fact, more than half of the nation's superintendents consider local schools to be "excellent." Most superintendents (77 percent) and principals (79 percent) say low academic standards are not a serious problem where they work. Superintendents are substantially less likely than classroom teachers to believe that too many students get passed through the system without learning. While 62 percent of teachers say this is a "very" or "somewhat serious" problem in local schools, just 27 percent of superintendents say the same.
Some highlights:
93% of superintendents, and 80% of principals, think public schools offer a better education than in the past, and most (86% and 82%) think the material is harder.
Despite the call from the business community for a great focus on science/math, 59% of superintendents and 66% say that the statement “kids are not taught enough science and math” is not a serious problem in their schools.
77% of superintendents and 79% of principals say that the statement “academic standards are too low, and kids are not expected to learn enough” is not a serious problem in their schools.
51% of superintendents say that local schools are excellent; 43% say they are good.
Only 27% of superintendents, compared with 62% of teachers, say it’s a serious problem that too many students get passed through the system without learning.
76% of superintendents and 59% of principals, compared with 33% of high school teachers, say that students graduating from middle school have the reading, writing, and math skills needed to succeed in high school.
More than 15 years after its publication of influential national standards in mathematics, a leading professional organization has unveiled new, more focused guidelines that describe the crucial skills and content students should master in that subject in elementary and middle school.
The National Council of Teachers of Mathematics last week released “Curriculum Focal Points for Prekindergarten Through Grade 8 Mathematics,” a document that supporters hope will encourage the polyglot factions of state and local school officials, textbook publishers, and teachers to set clearer, more common goals for math learning.
While the report is being published by the NCTM, it was reviewed by numerous math experts from across the country, some of whom have strongly disagreed with the organization’s past positions on essential skills. The new document reflects an attempt to overcome those conflicts and focus on a number of crucial, agreed-upon concepts.
“I would hope that this has a large impact, because I believe it gets it right,” said R. James Milgram, a Stanford University mathematics professor and a critic of the math organization’s previously issued national standards. He was one of 14 individuals who provided an outside, formal review of the document. “I would like to hope that this represents a new era of cooperation,” he added. “I hope that what this represents is an end to the math wars.”
Typical of many math textbooks in the U.S., this one is thick, multicolored,and full of games,puzzles,and activities,to help teachers pass the time, but rarely challenge students. Singapore Math’s textbook is thin, and contains only mathematics — no games. Students are given briefexplanations, then confronted with problems which become more complex as the unit progresses.
It was another body blow to education. In December of 2004, media outlets across the country were abuzz with news ofthe just-released results of the latest Trends in International Mathematics and Science Study (TIMSS) tests. Once again despite highly publicized efforts to reform American math education (some might say because of the reform efforts) over the past two decades, the United States did little better than average (see Figure 1). Headquartered at the International Study Center at Boston College and taken by tens of thousands of students in more than three dozen countries, TIMSS has become a respected standard of international academic achievement. And in three consecutive TIMSS test rounds (in 1995, 1999,and 2003), 4th- and 8th-grade students in the former British trading colony of Singapore beat all contenders, including math powerhouses Japan and Taiwan. United States 8th graders did not even make the top ten in the 2003 round; they ranked 16th. Worse, scores for American students were, as one Department of Education study put it,"among the lowest of all industrialized countries."
The countries that outperform the United States in math and science education have some things in common. They set national priorities for what public school children should learn and when. They also spend a lot of energy ensuring that every school has a high-quality curriculum that is harnessed to clearly articulated national goals. This country, by contrast, has a wildly uneven system of standards and tests that varies from place to place. We are also notoriously susceptible to educational fads.
One of the most infamous fads took root in the late 1980’s, when many schools moved away from traditional mathematics instruction, which required drills and problem solving. The new system, sometimes derided as “fuzzy math,’’ allowed children to wander through problems in a random way without ever learning basic multiplication or division. As a result, mastery of high-level math and science was unlikely. The new math curriculum was a mile wide and an inch deep, as the saying goes, touching on dozens of topics each year.
Despite North Carolina students' steady improvement in reading and math, their performance on state end-of-grade tests has been far better than on the National Assessment of Educational Progress. In fact, North Carolina stands out because of the wide gap between results on the state and national tests.
In 2005, about 84 percent of North Carolina eighth-graders earned proficient or better scores on state math tests; 32 percent were proficient or advanced on the national math test. Only West Virginia showed a sharper difference.
"When you see the huge disparity that you do between proficiency levels [on state and national tests], at least part of it is about rigor," said Ross Weiner, policy director for the Education Trust, a Washington group that advocates for poor and minority students. "North Carolina has a bigger difference than most other states. That raises questions about expectations and whether North Carolina's standards are high enough to demonstrate that students are learning what they need to know."
In a major shift from its influential recommendations 17 years ago, the National Council of Teachers of Mathematics yesterday issued a report urging that math teaching in kindergarten through eighth grade focus on a few basic skills.
If the report, “Curriculum Focal Points,” has anywhere near the impact of the council’s 1989 report, it could signal a profound change in the teaching of math in American schools. It could also help end the math curriculum struggles that for the last two decades have set progressive educators and their liberal supporters against conservatives and many mathematicians.
At a time when most states call for dozens of math topics to be addressed in each grade, the new report sets forth just three basic skills for each level. In fourth grade, for example, the report recommends that the curriculum should center on the “quick recall” of multiplication and division, the area of two-dimensional shapes and an understanding of decimals. It stopped short of a call for memorization of basic math facts.
The 1989 report is widely seen as an important factor nudging the nation away from rote learning and toward a constructivist approach playing down memorization in favor of having children find their own approaches to problems, and write about their reasoning.
“It was incredibly influential,” said Chester E. Finn Jr., a Department of Education official in the Reagan administration. “More than half the states explicitly acknowledged it in devising their own standards. This report is a major turnaround.”
The nation's math teachers, on the front lines of a 17-year curriculum war, are getting some new marching orders: Make sure students learn the basics.
In a report to be released today, the National Council of Teachers of Mathematics, which represents 100,000 educators from prekindergarten through college, will give ammunition to traditionalists who believe schools should focus heavily and early on teaching such fundamentals as multiplication tables and long division.
The council's advice is striking because in 1989 it touched off the so-called math wars by promoting open-ended problem solving over drilling. Back then, it recommended that students as young as those in kindergarten use calculators in class.
Those recommendations horrified many educators, especially college math professors alarmed by a rising tide of freshmen needing remediation. The council's 1989 report influenced textbooks and led to what are commonly called "reform math" programs, which are used in school systems across the country.
Francis Fennell, the council's president, says the latest guidelines move closer to the curriculum of Asian countries such as Singapore, whose students tend to perform better on international tests. There, children focus intensely on a relative handful of topics, such as multiplication, division and algebra, then practice by solving increasingly difficult word and other problems. That contrasts sharply with the U.S. approach, which the report noted has long been described as "a mile wide and an inch deep."
If school systems adopt the math council's new approach, their classes might resemble those at Garfield Elementary School in Revere, Mass., just north of Boston. Three-quarters of Garfield's students receive free and reduced lunches, and many are the children of recent immigrants from such countries as Brazil, Cambodia and El Salvador.
Three years ago, Garfield started using Singapore Math, a curriculum modeled on that country's official program and now used in about 300 school systems in the U.S. Many school systems and parents regard Singapore Math as an antidote for "reform math" programs that arose from the math council's earlier recommendations.
The Singapore Math curriculum differs sharply from reform math programs, which often ask students to "discover" on their own the way to perform multiplication and division and other operations, and have come to be known as "constructivist" math.
Strong parent and teacher views on the MMSD's math strategy may well spill over to non-support for referendums and incumbent board members, particularly in light of increasing UW Math Department activism on this vital matter.
I am in a class in which the teacher is, shall we say, an adherent of the National Council of Teachers of Mathematics (NCTM) and its standards. In fact, the NCTM standards and our understanding of same make up a portion of the syllabus. Our first assignment is a comparison of those standards with the math standards for the state in which we reside for a particular “content standard”, grade level, and “process standard. The content standard describes what students are supposed to learn. The process standard describes how they are supposed to learn it. I got assigned Geometry/11th grade/representation. "What is 'representation'?" I hear you asking. Expressing things in different ways, I think. You can use a graph to express a function, or a table of values, or a formula, for example. Which one is best to analyze the problem at hand, I think is what they’re getting at but they go on and on in the standards, bringing in all sorts of ways to show things which might be good things to mention as an aside, but to devote so much class time to it supplants the basics that they are supposed to be learning. (And which educationists think is mundane, and mind numbing.)
I have a friend that teaches at MATC--she tells me that she is shocked at the lack of math and writing ability of the Madison high school students coming to MATC's two year technical programs. MATC is very important to Wisconsin's future. What is happening at the high school level that these students are not prepared properly? Anyone have any thoughts?
Last week, a reclusive Russian topologist named Grigory Perelman seemed to be playing to type, or stereotype, when he refused to accept the highest honor in mathematics, the Fields Medal, for work pointing toward the solution of Poincaré’s conjecture, a longstanding hypothesis involving the deep structure of three-dimensional objects. He left open the possibility that he would also spurn a $1 million prize from the Clay Mathematics Institute in Cambridge, Mass.
Unlike Brando turning down an Academy Award or Sartre a Nobel Prize, Dr. Perelman didn’t appear to be making a political statement or trying to draw more attention to himself. It was not so much a medal that he was rejecting but the idea that in the search for nature’s secrets the discoverer is more important than the discovery.
“I do not think anything that I say can be of the slightest public interest,” he told a London newspaper, The Telegraph, instantly making himself more interesting. “I know that self-promotion happens a lot and if people want to do that, good luck to them, but I do not regard it as a positive thing.”
Running some searches recently, I came across this April, 2004 article by Lee Sensenbrenner on Connected Math. The words remain timely more than two years later:
A seventh-grader at a Madison middle school is posed with the following situation: A gas station sells soda in three sizes. A 20-ounce cup costs 80 cents, a 32-ounce cup is 90 cents and a 64-ouncer goes for $1.25.
The first question, which appeared in similar form on a recent exam, is as traditional as any mathematical story problem: What size offers the most soda for the money?
But the second question carries the spirit of the Connected Math Program, which has developed strong undercurrents of controversy - both here and nationally - and plays prominently in one of the Madison School Board races Tuesday.
This question asks: If the gas station were to offer an 84-ounce Mega Swig, what would you expect to pay for it?
There's really no concrete answer. A student, for instance, could argue that the 84-ouncer would cost what the 20-ounce and 64-ounce cups cost together. Another student could say that soda gets cheaper with volume, and then choose an answer based on some per-ounce price slightly less than what was given for the 64-ounce drink.
For the people fighting an impassioned battle over Connected Math, the differences between question number one and question number two are not subtle or inconsequential.
On one side, those who support Connected Math say that engaging students by presenting problems as real-life scenarios - often with no absolute solution or single path to arrive at an answer - fosters innovation and forces students to explain and defend their reasoning as they discover mathematical concepts.
The other side says the approach trades the clear, fundamental concepts of math, distilled through thousands of years of logical reasoning, for verbiage and vagary that may help students learn to debate but will not give them the foundation they need for more advanced mathematical study.
I'm told that the MMSD's math curriculum will be getting some attention this fall. We'll see (35 of 37 UW Math Faculty Open Letter on Math).
My largest concern with Connected Math - having read some of the books is that we're training the students to be consumers, not creative types (figure out the phone bill, count the cheerios, buy a soda, etc.). TeacherL made a great point recently: We can choose to be consumers or we can choose to be citizens. I know which one I think will provide the stronger future for our country."
Teaching mathematics has been my profession in New York City public schools since 1969, first at I.S. 201 in District 5, then at J.H.S. 17 in District 2, and since 1983, at Stuyvesant High School. I'm also the father of a 10-year-old daughter who attends District 2 schools and a member of an organization, Nychold (nychold.com), dedicated to bringing sanity to math education.
I'm a firm believer in public education, the great equalizer. Sadly, over the past 10 years, I've witnessed how badly things can go wrong. I am referring specifically to the constructivist math curricula that abound in our city public schools in general and more specifically in District 2, where I live, teach, and raise my daughter.
Constructivist curricula, such as TERC and CMP, forsake algorithms, postulates, and theorems (the foundation of math) as well as teacher-centered learning. Instead, they have students working among themselves in groups, loosely guided by the teacher in a drawn out attempt to "discover" math truths.
In my Upper East Side neighborhood, an incredible number of intelligent young students from the fourth grade and up are seeing private math tutors. Many of these are not the type of children who would normally struggle in arithmetic or elementary algebra. As a result of the way they're taught elementary math, they find themselves unable to do real math. When they're taught math in a more traditional way by their tutors, they invariably find themselves relieved and highly critical of the way they've been taught mathematics.
At Stuyvesant, we have a disproportionate number of freshmen from District 2 taking our introductory algebra course. Most Stuyvesant students have already completed that course before they enter our school. The ratio of District 2 students to non-District 2 students in those classes is close to twice that same ratio in the freshman class as a whole.
ACT scores are best in 20 years, with a catch, MMSD Curriculum & Upcoming Elections
The issue of curriculum quality and rigor continues to generate attention. P-I:
The good news is that the high school class of 2006 posted the biggest nationwide average score increase on the ACT college entrance exam in 20 years and recorded the highest scores of any class since 1991.
The bad news is that only 21 percent of the students got a passing grade in all four subject areas, including algebra and social science.
"The ACT findings clearly point to the need for high schools to require a rigorous, four-year core curriculum and to offer Advanced Placement classes so that our graduates are prepared to compete and succeed in both college and the work force," Education Secretary Margaret Spellings said in Washington, D.C.
Wisconsin high school graduates are better prepared to succeed in college than students nationwide - but that means only that more than 70% of state students are at risk of having trouble in one or more freshman-level subjects while the national figure is almost 80%, according to ACT, the college testing company.
The message still isn't getting across," Ferguson said in a telephone news conference. If students want to go to college and do well, they have to take high school seriously and take challenging courses, he said.
ACT results showed that students who took at least four years of English and three years each of math, science and social studies in high school did substantially better on the tests (22.9 in Wisconsin, 22.0 nationwide) than those who took lighter loads in those core areas (21.0 and 19.7, respectively).
Elizabeth Burmaster, Wisconsin's superintendent of public instruction, said she believes that if schools in Wisconsin stay focused on efforts such as early childhood education and small class sizes in the early grades, combined with strong academic programs in middle school and high school, achievement will go up and racial and ethnic gaps will close.
The Madison School District issued a press release on the recent ACT scores (68% of Wisconsin high school graduates took the ACT - I don't know what the MMSD's percentage is):
Madison students who took the 2006 ACT college entrance exam continued to outperform their state and national peers by a wide margin, and the scores of Madison's African-American test takers increased significantly. Madison students' composite score of 24.2 (scale of 1 to 36) was higher for the 12th straight year than the composite scores of Wisconsin students and those across the nation (see table below). District students outscored their state peers by 9% (24.2 vs. 22.2,) and their national peers by 15% (24.2 vs. 21.1).
Compared to the previous year, the average ACT composite score among the district's African-American students increased 6% — 18.8 vs. 17.7 last year. The gap between district African-American and white student ACT scores decreased this year. The relative difference this year was 24% (18.8 vs. 24.8) compared to 30% last year.
Scores also increased this year for the district's Asian students (22.1 to 23.0) and Hispanic students (21.5 to 21.8).
In the Waunakee information I sent to Jim Z, our mean for the Class of 2006 comes first, followed by the core/non-core in parentheses. So, our mean composite score for our 157 seniors who sat for the ACT was 23.3, the mean composite for those completing the ACT suggested core was 24.3, the mean composite for those who did not complete the core was 21.5.
With ACT profile reports, the student information is self-reported. It's reasonably accurate, but some students don't fill in information about course patterns and demographics if it is not required.
Please let me know if there are any other questions.
McFarland data:
It appears that Jim Z's chart comparing scores uses Waunakee's "Core score" as opposed to the average composite that the other schools (at
least McFaland) gave to Jim Z.. If Jim Z. wishes to report average "Core" for McFarland it is 24.5. Our non-core is 22.2 with our average composite 23.7.
More on the meaning of "Core":
Probably everyone is familiar with the ACT definition of core, but it's 4 years of English, and three years each of math, science, and social studies. ACT is refining their position on what course patterns best position a student for undergraduate success, however.
he board that sets policy for the National Assessment of Educational Progress has revised the blueprint for the 12th grade mathematics version of the influential exam, in an attempt to make the test better reflect the skills that students need for college and highly skilled jobs.
The changes, approved Aug. 4, are expected to make the math test more challenging in some areas, through the addition of more-complex algebraic concepts, trigonometry, and a stronger emphasis on mathematical reasoning and problem-solving, officials associated with the board say. Those revisions could also shape individual states’ math standards, which are often influenced by the content of the NAEP frameworks.
The National Assessment Governing Board, the independent entity that directs NAEP, unanimously agreed to make the changes at its quarterly meeting here. The board has spent about two years on the project.
“What we’re doing here is not unique to NAEP. It is what society is demanding,” said Sharif M. Shakrani, a professor of psychometric testing at Michigan State University in East Lansing, who consulted on changes to the framework. “We need to judge what students know and where they are weak.”
When results are broken down by race, just 10 percent of black and Latino sophomores in Colorado schools are proficient in math; 90 percent are not.
Those scores are "scary," said Jenna Fleur Lin, a math teacher who tutors high school students in the Cherry Creek School District and runs a free week-long math and science camp at an inner-city Denver church.
"What it means is you have a huge population that's not going to function properly," Lin said.
Moloney said one problem is that, unlike elementary and middle school students, high schoolers have the freedom to choose many of their own courses.
"Are minority youngsters being channelled into challenging programs or are you being (steered) to diminished programs?" he said.
Lin said she believes many students don't have a solid foundation in math in elementary school.
They are just learning to do calculations but they don't understand how to
A college math student might grapple with this topic in an advanced elective. Ryan was stretching his elementary-school mind at MathPath, perhaps the nation's toughest summer camp for numerical prodigies.
Math camps are multiplying in part because families are seeking an edge in competitive college admissions and worry about the quality of U.S. math instruction. Last summer, parents paid $280 million to send 120,000 children to academic summer camps, with math among the most popular subjects, according to Eduventures, a Boston research firm, which estimates enrollment is climbing 10% a year. Sylvan Learning Centers, the big tutoring company, says participation in summer math programs, including day camp, jumped 23% last year -- twice the rate of other subjects.
The American Mathematical Society counts two dozen "challenging summer math programs" -- twice as many as seven years ago. Most focus on high-school students. MathPath caters only to middle-school kids, age 10 to 14. It is also smaller -- and more selective -- than some better known programs.
About 80,000 kids in second through eighth grade, for example, take part in the annual "talent search" run by Johns Hopkins University's Center for Talented Youth. Through the search, about 70% qualify for summer camps across the country and some 10,000 enroll in a given year.
Another example of the "Brave New World" referenced in Marc Eisen's recent words. Neal Gleason comments.
I have long admired Marc Eisen's thoughtful prose. But his recent struggle to come to grips with a mutli-ethnic world vvers from xenophobia to hysteria ("Brave New World", 6/23/06). His "unsettling" contact with "stylish" Chinese and "turbaned Sikhs" at a summer program for gifted children precipitated first worry (are my kids prepared to compete?), And then a villain (incompetent public schools).
Although he proclaims himself "a fan" of Madison public schools, he launches a fusillade of complaints: doubting that academic excellence is high on the list of school district pirorities and lamentin tis "dubious maht and reading pedagogy." The accuracy of these concerns is hard to assess, because he offers no evidence.
His main target is heterogeneous (mixed-ability) classes. He speculates that Madison schools, having failed to improve the skills of black and Hispanic kids, are now jeopardizing the education of academically promising kids (read: his kids) for the sake of politically correct equality. The edict from school district headquarters: "Embrace heterogeneous classrooms. Reject tracking of brighter kids. Suppress dissent in the ranks." Whew, that is one serious rant for a fan of public schools.
Eisen correctly observes that "being multilingual" will be a powerful advantage in the business world; familiarity and ease with other cultures will be a plus." Mare than 20 years ago, my kids began to taste this new world in the diverse classrooms of Midvale-Lincoln Elementary, and continued on through West High with its 50-plus nationalitities and a mix of heterogeneous and advanced classes.
They did just fine in college and grad school, emerged bi-and tri-lingual with well worn passorts, and started interesting careers at high tech internationl companies. How will Eisen's kids acquire modern cultural skills if they are cloistered in honors classes, sheltered from daily contact with kids of varied ability?
Pittsburgh has hired a private company to write a coherent curriculum for city schools, reports the Post-Gazette.
Because course content is uneven and out of sync with state standards, the Pittsburgh Public School district is paying New York-based Kaplan K12 Learning Services $8.4 million to write standardized curricula for grades six through 12.
. . . Teachers in other districts have complained that Kaplan's detailed curriculum turned them into automatons and deprived them of time to cover material in adequate detail or help students with individual needs.
. . . Pittsburgh school officials cite an urgent need to bring coherence and rigor to what's taught and tested in the district's classrooms.
Interesting. Perhaps an RFP looking for different ideas might be useful. Public and private organizations could respond. One only has to look at the "Cathedral and the Bazaar" to see the power of a community vs a top down approach. Leadership, particularly that which embraces the community is critical - as Lucy Mathiak recently pointed out:
Later, she added: "I think one of the fundamental questions facing our district is whether we treat parents as resources or problems. Any parent who is concerned about safety, discipline or academic issues needs to feel confident that their concerns are going to be heard. We have to court the parents. The future of our schools depends on their confidence that we are working as partners with them."
Only 11 states met the union’s criteria for strong standards and tests that “align” with them, it says, and 20 states “have much work to do”—beefing up their standards, matching up tests with standards, or showing what they have done online.
“The systems in those states aren’t smart enough yet to bear the weight of the accountability functions they are asked to serve,” said Antonia Cortese, the AFT’s executive vice president. As one example of such a function, she cited the “in need of improvement” label applied to schools if they don’t meet measures of adequate yearly progress, or AYP. The label triggers a series of consequences for the schools.
In their study, the AFT researchers looked for standards to be clear, explicit by grade level, and rooted in the knowledge and skills for the particular subject, as well as accessible on the Web. Similarly, documentation of the relationship between the standards and the tests had to be available online.
The researchers contend that such “transparency” helps teachers do their jobs and builds trust in the system among educators and the public.
The union, which from 1995 to 2001 published an annual report evaluating states’ academic standards, found significant progress on that front. The standards that relate to NCLB testing are more specific and more often set out by grade levels—a help to teachers and test-makers—than the across-the-board standards examined five years ago, the report says. The progress is particularly noteworthy because of the pressure on state education departments to respond quickly to the sweeping federal law’s mandates, which include annual tests in reading and mathematics in grades 3-8 and once in high school and, starting next year, three tests of science spread across grade levels.
Full PDF study can be found here. The report noted that only 1 to 25% of Wisconsin's state tests aligned to "strong content standards".
There is an interesting post and series of comments about homework at The Daily Grind.
I agree that homework needs to be assigned every class period. But, like every teacher, I've struggled with how to best hold students accountable for not just completing it, but understanding it. In our freshmen math courses (Algebra 1, Numeracy), we give students full credit on an assignment if it is completed and turned in on time (we don't assess it for correctness at all). We also don't accept late work, unless students have an excused absence. The purpose of this is to build the ethic of doing homework and turning it in - as many students seem to come to high school with out having done much - if any - homework in the past. We are pretty successful at getting students to turn in their work by the end of freshman year. Getting them to really think about it, try hard on questions they don't understand, and seek help when they have difficulties is another thing altogether.
The national education reform effort has long suffered from magical thinking about what it takes to improve children’s chances of learning. Instead of homing in on teacher training and high standards, things that distinguish effective schools from poor ones, many reformers have embraced the view that the public schools are irreparably broken and that students of all kinds need to be given vouchers to attend private or religious schools at public expense.
This belief, though widespread, has not held up to careful scrutiny. A growing body of work has shown that the quality of education offered to students varies widely within all school categories. The public, private, charter and religious realms all contain schools that range from good to not so good to downright horrendous.
What the emerging data show most of all is that public, private, charter and religious schools all suffer from the wide fluctuations in quality and effectiveness. Instead of arguing about the alleged superiority of one category over another, the country should stay focused on the overarching problem: on average, American schoolchildren are performing at mediocre levels in reading, math and science — wherever they attend school.
L.A. Unified plans to spend millions to train, recruit and keep math and science teachers, who are a hot commodity nationwide.
Recognizing the critical need to boost math and science test scores, the Los Angeles Unified School District has taken several steps — including offering bonuses — to attract and keep teachers in those fields at the district's neediest schools.
Let's look at the recent "Nation's Report Card," published annually by the U.S. Department of Education's National Center for Education Statistics.
Nationally, in reading, only 13 percent of black fourth graders, and 11 percent of black eighth graders score as proficient. Twenty-nine percent achieve a score of "basic," defined as a partial knowledge and skills needed to be proficient in the grade. Fifty-nine percent score below basic, lacking necessary knowledge and skills. It's the same story for black eighth graders, with 40 percent scoring basic and 49 percent below basic.
In math, it's roughly the same story. For black fourth graders, 12 percent score proficient, 47 percent score basic and 40 percent below basic. For black eighth graders, 8 percent score proficient, while 33 percent score basic and 59 percent score below basic; however, 1 percent of black fourth graders and eighth graders achieved an advanced score in math.
Teachers and politicians respond to this tragic state of affairs by saying more money is needed. The Washington, D.C., school budget is about the nation's highest with about $15,000 per pupil. Its student/teacher ratio, at 15.2 to 1, is lower than the nation's average. Despite this, black academic achievement in D.C. is the lowest in the nation. Reading scores for D.C.'s fourth-grade black students are: 7 percent proficient, 21 percent basic and 71 percent below basic. For eighth-graders, it's 6 percent proficient, 33 percent basic and 58 percent below basic.
Participation in a rigorous secondary school program of study may qualify a postsecondary student to receive an ACG, if otherwise eligible. The Secretary recognizes at least one rigorous secondary school program of study for each state annually. States may submit proposals for recognition or may elect to accept rigorous secondary school programs of study pre-recognized by the Secretary. The following are recognized rigorous secondary school programs of study for each state for the 2006-07 award year.
He created Reasoning Mind because he had a dismal opinion of American education, from kindergarten through high school.
This Web-based math program "does not merely incorporate technology into teaching. It is based in technology and capitalizes on the power of technology to deliver information and content," Dr. Alexander R. "Alex" Khachatryan said.
The results from a pilot program during the 2005-06 school year were impressive. At-risk students at a Houston school and advanced math students at a school in College Station were introduced to Reasoning Mind.
"At the inner-city school, the test group's average improvement from the pre-test to the post-test was 67 percent, while the control group improved 6 percent," Dr. Khachatryan said.
"The test group students also demonstrated extraordinary results – a 20 percent higher passing rate – on the Texas Assessment of Knowledge and Skills test, despite the fact that only three out of 48 problems directly checked students' knowledge of the two math units covered by RM in the pilot," he said.
The average incoming level for our freshmen is around 5th grade. Our mission is to get them to a 4-year college. This requires not just development of their academic skills, but it also requires a shift in their thinking and self-perception. Our students come in with comparable literacy levels; however, in our society, it seems much clearer to people that being able to read and write is an essential skill. There are plenty of well-educated people who happily admit that they can't do math, but none that laugh about their inability to read a book.
Dan Greene, a San Jose, CA high school math teacher maintains a blog whose purpose is to "help generate and share ideas for teaching high school math concepts to students whose skills are below grade level.".
This report takes an incisive look at what U.S. education leaders can learn from China's success in math and science education. From a comparative perspective, it evaluates complementary strengths and weaknesses in the two education systems. The report also outlines areas of potential collaboration so that both the U.S. and China can build and sustain excellence in math and science.
But the investments in China's modernization that are most impressive of all are in human capital. The blunt fact is that many young Chinese in cities like Shanghai or Beijing get a better elementary and high school education than Americans do. That's a reality that should embarrass us and stir us to seek lessons from China.
On this trip I brought with me a specialist on American third-grade education — my third-grade daughter. Together we sat in on third-grade classes in urban Shanghai and in a rural village near the Great Wall. In math, science and foreign languages, the Chinese students were far ahead.
My daughter was mortified when I showed a group of Shanghai teachers some of the homework she had brought along. Their verdict: first-grade level at a Shanghai school.
Granted, China's education system has lots of problems. Universities are mostly awful, and in rural areas it's normally impossible to hold even a primitive conversation in English with an English teacher. But kids in the good schools in Chinese cities are leaving our children in the dust.
Last month, the Asia Society published an excellent report, "Math and Science Education in a Global Age: What the U.S. Can Learn from China." It notes that China educates 20 percent of the world's students with 2 percent of the world's education resources. And the report finds many potential lessons in China's rigorous math and science programs.
Yet, there isn't any magic to it. One reason Chinese students learn more math and science than Americans is that they work harder at it. They spend twice as many hours studying, in school and out, as Americans.
Chinese students, for example, must do several hours of homework each day during their summer vacation, which lasts just two months. In contrast, American students have to spend each September relearning what they forgot over the summer.
China's government has developed a solid national curriculum, so that nearly all high school students study advanced biology and calculus. In contrast, only 13 percent of American high school pupils study calculus, and fewer than 18 percent take advanced biology.
Yet if the Chinese government takes math and science seriously, children and parents do so even more. At Cao Guangbiao elementary school in Shanghai, I asked a third-grade girl, Li Shuyan, her daily schedule. She gets up at 6:30 a.m. and spends the rest of the day studying or practicing her two musical instruments.
So if she gets her work done and has time in the evening, does she watch TV or hang out with friends? "No," she said, "then I review my work and do extra exercises."
A classmate, Jiang Xiuyuan, said that during summer vacation, his father allows him to watch television each evening — for 10 minutes.
The Chinese students get even more driven in high school, as they prepare for the national college entrance exams. Yang Luyi, a tenth grader at the first-rate Shanghai High School, said that even on weekends he avoided going to movies. "Going to the cinema is time-consuming," he noted, "so when all the other students are working so diligently, how can you do something so irrelevant?"
And romance?
Li Yafeng, a tenth-grade girl at the same school, giggled at my question. "I never planned to have a boyfriend in high school," she said, "because it's a waste of time."
Now, I don't want such a pressured childhood for my children. But if Chinese go overboard in one direction, we Americans go overboard in the other. U.S. children average 900 hours a year in class and 1,023 hours in front of a television.
I don't think we could replicate the Chinese students' drive even if we wanted to. But there are lessons we can learn — like the need to shorten summer vacations and to put far more emphasis on math and science. A central challenge for this century will be how to regulate genetic tinkering with the human species; educated Chinese are probably better equipped to make those kinds of decisions than educated Americans.
During the Qing Dynasty that ended in 1912, China was slow to learn lessons from abroad and adjust its curriculum, and it paid the price in its inability to compete with Western powers. These days, the tables are turned, and now we need to learn from China.
Brave New World: Are our kids ready to compete in the new global economy? Maybe not
Marc Eisen:
Most of us have had those eerie moments when the distant winds of globalization suddenly blow across our desks here in comfortable Madison. For parents, it can lead to an unsettling question: Will my kids have the skills, temperament and knowledge to prosper in an exceedingly competitive world?
I’m not so sure.
I’m a fan of Madison’s public schools, but I have my doubts if such preparation is high on the list of school district priorities. (I have no reason to think things are any better in the suburban schools.) Like a lot of parents, I want my kids pushed, prodded, inspired and challenged in school. Too often -- in the name of equity, or progressive education, or union protectionism, or just plain cheapness -- that isn’t happening.
Brave New World: Are our kids ready to compete in the new global economy? Maybe not
Last summer I saw the future, and it was unsettling.
My daughter, then 14, found herself a racial minority in a class of gifted kids in a three-week program at Northwestern University. Of the 16 or so kids, a dozen were Asian or Asian American.
The class wasn't computer science or engineering or chemistry -- classes increasingly populated by international students at the college level -- but a “soft” class, nonfiction writing.
When several hundred parents and students met that afternoon for the introductory remarks, I spotted more turbaned Sikhs in the auditorium than black people. I can't say if there were any Hispanics at all.
Earlier, I had met my daughter's roommate and her mom -- both thin, stylish and surgically connected to their cell phones and iPods. I casually assumed that the kid was a suburban princess, Chinese American division. Later, my daughter told me that her roommate was from Hong Kong, the daughter of a banker, and had at the age of 14 already taken enrichment classes in Europe and Canada. Oh, and she had been born in Australia.
Welcome to the 21st century.
In the coming decades, you can be sure the faces of power and influence won't be monochromatic white and solely American. Being multilingual will be a powerful advantage in the business world, familiarity and ease with other cultures will be a plus, and, above all, talent and drive will be the passwords of success in the global economy.
Thomas Friedman's The World Is Flat, his chronicle of the rapid economic and social changes wrought by the mercury-like spread of new technology, serves as an essential primer for understanding this new world.
In a nutshell, we shouldn't bet on American hegemony in technology and economic growth in the 21st century. In a ramped-up, knowledge-based, digitalized economy, there are no borders. The built-in advantage the U.S. enjoyed after World War II -- our industrial based was untouched, while the rest of the developed world's was in ruins -- has finally run its course. Today, many tech jobs can just as easily be performed in Bangalore and Beijing as in Fitchburg.
Whether America's youth, raised in the lap of luxury with an overpowering sense of entitlement, will prosper in this meritocratic environment is an interesting question. And what of America's underprivileged youth, struggling in school and conspicuously short of family assets: How well will they fare in the new global marketplace?
My own a-ha! moment came a year ago at about the same time I dropped my youngest daughter off at Northwestern. Out of the blue I received an e-mail from a young man in India, offering his services to proofread the paper. Technically, it was no problem to ship him copy, and because of the 12-hour time difference he could work while the rest of us slept and played -- if we wanted to go down the outsourcing road.
Most of us have had those eerie moments when the distant winds of globalization suddenly blow across our desks here in comfortable Madison. For parents, it can lead to an unsettling question: Will my kids have the skills, temperament and knowledge to prosper in an exceedingly competitive world?
I'm not so sure.
I'm a fan of Madison's public schools, but I have my doubts if such preparation is high on the list of school district priorities. (I have no reason to think things are any better in the suburban schools.) Like a lot of parents, I want my kids pushed, prodded, inspired and challenged in school. Too often -- in the name of equity, or progressive education, or union protectionism, or just plain cheapness -- that isn't happening.
Instead, what we see in Madison is just the opposite: Advanced classes are choked off; one-size-fits-all classes (“heterogeneous class groupings”) are mandated for more and more students; the talented-and-gifted staff is slashed; outside groups promoting educational excellence are treated coolly if not with hostility; and arts programs are demeaned and orphaned. This is not Tom Friedman's recipe for student success in the 21st century.
Sure, many factors can be blamed for this declining state of affairs, notably the howlingly bad way in which K-12 education is financed in Wisconsin. But much of the problem also derives from the district's own efforts to deal with “the achievement gap.”
That gap is the euphemism used for the uncomfortable fact that, as a group, white students perform better academically than do black and Hispanic students. More to the point, mandating heterogeneous class grouping becomes a convenient cover for reducing the number of advanced classes that fail the PC test: too white and unrepresentative of the district's minority demographics.
The problem is that heterogeneous classes are based on the questionable assumption that kids with a wide range of skills -- from high-schoolers reading at a fourth-grade level to future National Merit students -- can be successfully taught in the same sophomore classroom.
“It can be done effectively, but the research so far suggests that it usually doesn't work,” says Paula Olszewski-Kubilius, head of Northwestern's Center for Talent Development, which runs an enrichment program for Evanston's schools.
I have to ask: After failing to improve the skills of so many black and Hispanic kids, is the Madison district now prepared to jeopardize the education of its most academically promising kids as well?
Please don't let me be misunderstood. Madison schools are making progress in reducing the achievement gap. The district does offer alternatives for its brightest students, including college-level Advanced Placement classes. There are scores of educators dedicated to improving both groups of students. But it's also clear which way the wind blows from the district headquarters: Embrace heterogeneous classrooms. Reject tracking of brighter kids. Suppress dissent in the ranks.
The district's wrongheaded approach does the most damage in the elementary-school years. That's where the schools embrace dubious math and reading pedagogy and shun innovative programs, like those operated by the Wisconsin Center for Academically Talented Youth, a nonprofit group that works tirelessly to promote gifted education. (Credit school board president Johnny Winston Jr. for cracking the door open to WCATY.)
In a perfect world, Madison would learn from Evanston's schools and their relationship with WCATY's peer, the Center for Talent Development. Faced with predominantly white faces in its advanced high school classes, this racially mixed district didn't dump those classes but hired Olszewski-Kubilius' group to run an after-school and weekend math and science enrichment program for promising minority students in grades 3-6.
In other words, raise their performance so they qualify for those advanced classes once they get to high school. Now there's an idea that Tom Friedman would like!
MARC EISEN IS EDITOR OF ISTHMUS.Email: EISEN at ISTHMUS.COM
The philosophy used throughout the program is that the students should entirely construct their own knowledge and that calculators are to always be available for calculation. This means that
standard algorithms are never introduced, not even for adding, subtracting, multiplying and dividing fractions
precise definitions are never given
repetitive practice for developing skills, such as basic manipulative skills is never given. Consequently, in the seventh and eighth grade booklets on algebra, there is no development of the standard skills needed to solve linear equations, no practice with simplifying polynomials or quotients of polynomials, no discussion of things as basic as the standard exponent rules
throughout the booklets, topics are introduced, usually in a single problem and almost always indirectly -- topics which, in traditional texts are basic and will have an entire chapter devoted to them -- and then are dropped, never to be mentioned again. (Examples will be given throughout the detailed analysis which follows.)
in the booklets on probability and data analysis a huge amount of time is spent learning rather esoteric methods for representing data, such as stem and leaf plots, and very little attention is paid to topics like the use and misuse of statistics. Statistics, in and of itself, is not that important in terms of mathematical development. The main reason it is in the curriculum is to provide students with the means to understand common uses of statistics and to be able to understand when statistical arguments are being used correctly.
In a recent issue of the NCTM Dialogues, Prof. R. Askey comments on a particular and remarkably inept misunderstanding in CorePlus, of some basic methods in probability Prof. R. Askey's comments on a problem with Core Plus.
It has long been felt that the mathematical preparation of pre-service teachers throughout the country has been far too variable, and often too skimpy to support the kind of outcomes that the United States currently needs. Too few of our K - 12 graduates are able to work in technical areas or obtain college degrees in technical sub jects. This impacts society in many and increasingly harmful ways, and it is our failure in K - 8 mathematics instruction that is at the heart of the problem.
This is especially true when we compare outcomes in the United States with outcomes in countries that do a better job of teaching mathematics, countries such as Poland, Hungary, Bulgaria, Romania, Singapore, China, and Japan, to name a few.
It has also been increasingly recognized that if we are to improve our performance in K - 8 mathematics instruction, pre-service teachers should take focused, carefully designed courses directly from the mathematics departments, and not, as is often the case, just a single math methods course taught in the Education School. A focused two year sequence in the basic mathematics teachers have to know is the minimal mathematics sequence that pre-service teachers need in order to to successfully teach students in K - 8.
Are Mathematicians Smarter Than Math Teachers?June 6, 2006 04:45 PM
Maybe. But math teachers know things that are (1) useful for teaching math and (2) difficult for non-teaching mathematicians to grasp, according to Deborah Loewenberg Ball, a University of Michigan researcher who spoke recently to a gathering of AFT leaders and staff.
Here's an example of a task* at which math teachers outperform mathematicians.
Three students were asked to multiply 35 by 25. The answer is 875. Each came up with the wrong answer, but for different reasons. (Click on the links to see if you can figure out the thinking behind the errors.)
Ball reports that math teachers were much better than mathematicians at identifying where students went wrong--an important fact to know to help put students back on track.
Ball told AFT leaders that the finding that there is a body of knowledge teachers need to have to teach math can be extended to other subjects. As the drumbeat for "content knowledge" becomes louder and louder, this research answers the questions "Which content?" "Which knowledge?"
*Ball notes that this type of thinking, error analysis, is not only a teacher thing but an important area of mathematics
Posted by John on June 6, 2006 04:45 PM | Permalink
Comments
Understanding the source of error is very important. A math teacher needs to have extensive experience analyzing mistakes. This requires a strong, strong handle on arithmetic.
But I would be careful before dismissing the math professors. They don't teach, that is true. They don't know error analysis, and some other things math teachers need.
But when they get outraged, there is usually a reason. Such as not teaching standard algorithms at all. Avoiding fractions. Not teaching long division. Placing so much emphasis on concept that skill is overlooked (each year I get incoming freshmen from a progressive district who have a real solid understanding of what multiplication is, the variety of meanings it might have, etc, but who have difficulty with facts, eg, 7 x 8.)
Pedagogy and content are both important. Some of the education people and the 'modern' curricula privilege pedagogy over content. Back to basics folks tend to emphasize content and ignore pedagogy. Good math teachers, experienced math teachers, we know that we need to pay attention to both and defend our work from either extreme.
The District has always employed outstanding curriuclum leaders in our Teaching and Learning Department. Mary Ramberg has been a leader in Teaching and Learning as have Lisa Wachtel in Science and Mary Watson Peterrson in Literacy and Language Arts.
Please rest assured that I. even more than you, am committed to employing the best possible math corrdinator. The minimum requirements posted are exactly what they say. They are minimum requirements and failure to meet the requirements eliminates the person from consideration immedately without even a further paper screen. Our district has a hiring process that has served us vrey well over the years and this is only the first part of that process.
The breadth and depth of knowledge of mathematics is obviously one of two key components in determining who will be the final pick for this position. However, equally important in the decision is the breadth and depth of pedogogical knowledge. Both of these will be given equal weight and I will not employ anyone who does not have both.
Art Rainwater
My reply:
Dear Art,
Thanks for your prompt reply.
What caused all of us to write/sign this letter is that the posted job ad does precisely NOT require what we consider two MINIMUM requirements for this position, namely (and I repeat):
subject knowledge equivalent to a strong bachelor's degree in mathematics, and
teaching experience at the highest level in the high school curriculum.
I do hope that the school board and the district administration will RESTRICT its search to ONLY candidates meeting these two MINIMUM requirements.
Open letter about Math Coordinator position at MMSD
OPEN LETTER:
Dear Members of the School Board, dear Superintendent Rainwater,
We are writing to strongly urge that the new Coordinator of Mathematics have the depth of knowledge of mathematics that we believe is essential for the position. While we are obviously concerned about the preparation of students entering the University, our concerns are much broader than that. The new Coordinator must have a high level of understanding of both mathematical content and pedagogy to independently navigate through the controversies that surround the established standards and published curricula. These "navigational skills" are essential if we are to achieve a program for the Madison school system that meets the needs and aspirations of all the students in the system.
The posted criteria do not give us confidence that the new coordinator will have the required depth of knowledge. Specifically, we recommend adding the following to the list of knowledge and experience that the new Coordinator should have:
Subject knowledge equivalent to a strong Bachelor's degree in mathematics.
The posted criteria call for a Master's degree, but there is no requirement specific to the subject area. Knowledge at the level of a Bachelor's degree seems to us to be a minimum requirement.
Teaching experience at the highest level in the high school curriculum.
The posted criteria call for teaching experience in mathematics, but do not specify the level. Experience at the highest level seems essential if the individual is to have the necessary overview of the entire curriculum.
We recognize that the school system faces many challenges, but we do not believe that we are being self-serving or even controversial in asserting that a high quality mathematics curriculum must be one of the top priorities for the system. The new Coordinator must be fully equipped with the essential skills and knowledge if that priority is to be met.
Respectfully,
Alejandro Adem
Sigurd Angenent
Richard Askey
Eric Bach
Lev Borisov
Richard Brualdi
Andrei Caldararu
David Camacho
Serguei Denissov
Mikhail Feldman
Simon Hellerstein
Shi Jin
Alexander Kiselev
James Kuelbs
Steffen Lempp
Shirin Malekpour
Eugenia Malitsky
Gloria Mari-Beffa
Gabi Meyer
Paul Milewski
Julie Mitchell
Yong-Geun Oh
Marshall Osborn
Seymour Parter
Paul Rabinowitz
Diane Rivard
Joel Robbin
Jean-Pierre Rosay
James Rossmanith
Hans Schneider
Andreas Seeger
Timo Seppalainen
Dietrich Uhlenbrock
Stephen Wainger
Tonghai Yang
"Finding Common Ground in the U.S. Math Wars", Science Magazine, May 19, 2006 describes the 18-month effort initiated by Richard Schaar, mathematician and former president of Texas Instruments, to bridge the gap between professional mathematicians, and math educators. Leaving many issues still to be addressed, the following is their initial statements:
Fundamental Premises
All students must have a solid grounding in mathematics to function effectively in today's world. The need to improve the learning of traditionally underserved groups of students is widely recognized; efforts to do so must continue. Students in the top quartile are underserved in different ways; attention to improving the quality of their learning opportunities is equally important. Expectations for all groups of students must be raised. By the time they leave high school, a majority of students should have studied calculus.
Basic skills with numbers continue to be vitally important for a variety of everyday uses. They also provide crucial foundation for the higher-level mathematics essential for success in the workplace which must now also be part of a basic education. Although there may have been a time when being to able to perform extensive paper-and-pencil computations mechanically was sufficient to function in the workplace, this is no longer true. Consequently, today's students need proficiency with computational procedures. Proficiency, as we use the term, includes both computational fluency and understanding of the underlying mathematical ideas and principles.
Mathematics requires careful reasoning about precisely defined objects and concepts. Mathematics is communicated by means of a powerful language whose vocabulary must be learned. The ability to reason about and justify mathematical statements is fundamental, as is the ability to use terms and notation with appropriate degrees of precision. By precision, we mean the use of terms and symbols, consistent with mathematical definitions, in ways appropriate for students at particular grade levels. We do not mean formality for formality's sake.
Students must be able to formulate and solve problems. Mathematical problem solving includes being able to (a) develop a clear understanding of the problem that is being posed; (b) translate the problem from everyday language into a precise mathematical question; (c) choose and use appropriate methods to answer the question; (d) interpret and evaluate the solution in terms of the original problem, and (e) understand that not all questions admit mathematical solutions and recognize problems that cannot be solved mathematically.
Last month, NCTM (National Coucil of Teachers of Mathematics) endorsed a short list of skills, by grade, that every grade and middle school student must master. These "Curriculum Focal Points" are an attempt to correct the "mile-wide, inch-deep" curricula in most schools, which leave most student incapable and ill-prepared for further work in mathematics, science and engineering disciplines. The Focal Points document has not be published at this time.
But, to place these "improvements" into perspective, no one expects these initiative to make improvements by themselves. Further, UC-Berkeley Math Prof Hung-Hsi Wu says "Better mathematics education won't take place in the next 10 years, I think it will take 30 years."
After a number of parents and teachers objected, the school board of Olympia, Washington, has ignored an administrative recommendation to adopt a constructivist math program for their middle schoolers:
Connected Math and the Madison School District was discussed at a recent math forum (audio / video).
Education Secretary Spellings recently announced the formation of a presidentially appointed panel that was formed to address math teaching. According to the charter of this panel, one of its purposes is “to foster greater knowledge of and improved performance in mathematics among American students.” The panel is charged with producing a report in two years, which must contain recommendations pertaining to how math instruction can be improved in the U.S. In particular, the report must address the skills necessary for students to acquire competence in algebra and to prepare them for higher levels of mathematics.
The workings of the panel are not the type of thing that makes the front page of newspapers, the top story on TV news, or what is talked about in the local cafes. To hear about this you need to drop in to the blogs (like Edspresso), or the various list serves on the internet devoted to math education. There you will notice some discomfort among those who think that the way math is currently taught and the present crop of math texts being used in the U.S. is just fine. They have openly expressed dismay at the inclusion on the panel of people who have been vocal critics of reform math, stating "This panel is filled with hacks, toadies and stooges. Can you say ‘show trial’, children? Have you ever seen the old reels of the Communist Party Congresses in Moscow?” Allegations of pre-conceived conclusions then follow.
Lead K-12 mathematics programming; develop and promote documents defining the mathematics program and expectations; organize and promote professional development opportunities; seek and implement research-based best practices in mathematics education; serve on various district and Teaching & Learning committees and task forces; create, recommend and administer budget for mathematics curriculum coordination; coordinate Evaluation of Learning Materials in mathematics; serve as District liaison with state, private, professional, city, and local mathematics groups and organizations; seek and develop relationships with institutions of higher education to coordinate inservice and preservice mathematics education; collaborate with other District departments to ensure all students have the opportunity to learn standards-based mathematics; develop and promote standards-based assessment tools and practices; analyze District mathematics student achievement data and use the data to inform action plans; supervise and evaluate instructional resource teacher staff and program assistant; author grant applications; coordinate mathematics grants; support District Improvement Plans, decisions and initiatives; demonstrate evidence of cultural competence.
The Bush administration has named a former president of the University of Texas at Austin to lead a national panel to weigh in on the math wars playing out across the country. The politically fraught battle pits a more free-form approach to teaching math against the traditional method that emphasizes rules and formulas to solve number problems.
In traditional math, children learn multiplication tables and specific techniques for calculating 25 x 25, for example. In so-called constructivist math, the process by which students explore the question can be more important than getting the right answer, and the early use of calculators is welcomed.
According to a 2005 study by ACT, the college entrance exam organization, only 40 percent of high school seniors were ready to take the most basic college-level algebra course.
I believe in the power of numbers. I don't know when my belief in numbers began. Perhaps when I was a child. My high school dropout, bookkeeper dad came home each week to tell us that he had played the numbers -- my neighborhood’s equivalent of lotto but lots more complex.
Dad would convert every thought and dream to a number with help from his trusty dream book. You had a dream about mice? Consult the book. "That's a 12, 17 or 21. What was the mouse doing -- climbing out of a garbage can? Well climbing is a 21, 34, or 42 and garbage is a 17, 39, or 32. So, let's play 12 and 21 (the reverse of each other), 17 (it appeared twice), and 34, the year your mom was born."
This is to briefly summarize from my point of view what went on at the MSRI workshop on equity in math education last week. (Vicki was also there and may wish to give her side of the story so you get a more complete picture. It was a very broad workshop, 13 hours a day for 3 days. The web site is down right now, but you can view a cached version here.)
The charge of the workshop was to brainstorm solutions to the underrepresentation of (racial and ethnic) minorities in mathematics and mathematics courses which frequently serve as gatekeepers to other areas.
The participants were thus rather heterogeneous, policy-makers, mathematics educators, mathematicians and teachers, including several groups of young people from various projects who serve as mentors and tutors in mathematics.
The talks and presentations were thus rather mixed, from talks by a law professor about constitutional issues on education to examples of math games played by young tutors and an actual 9th grade math class right with 22 students from a nearby high school right in front of all participants.
There were also some chilling descriptions of the abominable conditions at some schools serving mostly black and native American students.
The usual disagreements between research mathematicians and math educators were not brought to the surface much, but were brought up in many personal conversations during breaks and meals. However, there was general agreement that the underrepresentation of minorities is a serious national problem, and that more resources and better teachers are crucial to its solution.
However, no firm solutions or consensus emerged.
The two things I took away from the workshop are:
the need for more math content by math teachers, mainly at the elementary and middle school teachers, and
a small but important comment by a representative from the American Indian Science and Engineering Society: Asked about cultural sensitivity in math classes for her students, she answered that even though there are some issues around this, but in the end, her students need to learn "main-stream" mathematics in order to succeed, not take watered down courses; and the earlier this starts, the more beneficial it will be to her students.
It wasn't quite a Miss America pageant, but it had a gusto of its own. To the beat of rock music, more than 200 middle schoolers in T-shirts adorned with pi symbols or jokes about binary numbers jogged into a Crystal City hotel conference hall yesterday, waving and holding up signs identifying their home states.
The 57 teams -- from every state, plus the District, the U.S. territories and military or State Department schools around the world -- had spent the day vying for the MathCounts national championship, and they were about to find out which four-member team had won.
Madison area middle schools that participated included Hamilton (Madison), Jefferson (Madison), Eagle (Fitchburg), Badger Ridge (Verona) and Madison Country Day School (Waunakee). Mathcounts website.
Google constantly leaves numerical puns and riddles for those who care to look in the right places. When it filed the regulatory documents for its stockmarket listing in 2004, it said that it planned to raise $2,718,281,828, which is $e billion to the nearest dollar. A year later, it filed again to sell another batch of shares—precisely 14,159,265, which represents the first eight digits after the decimal in the number pi (3.14159265).
The mathematics comes from the founders, Sergey Brin and Larry Page. The Russian-born Mr Brin is the son of a professor of statistics and probability and a mother who works at NASA; Mr Page is the son of two computer-science teachers. The breakthrough that made their search engine so popular was the realisation that the chaos of the internet had an implicit mathematical order. By counting, weighting and calculating the link structures between web pages, Messrs Page and Brin were able to return search results more relevant than those of any other search engine.
New math textbooks for Seattle middle- and high-school students are on hold.
Concerned that it may cost too much and not produce results, School Board members have delayed a decision to allow more time to study the issue.
At stake is whether the district adopts a single style of teaching math that focuses more on understanding concepts than honing computation skills -- a prospect that has sparked debate among parents, teachers and administrators.
Recently Utah schools have been given an F for technology use in the classroom (or lack thereof). This is one area I hope Utah continues to fail in. Technology has been touted as a fabulous tool for teaching math and other subjects, but it’s not. Technology teaches technology; you still have to learn math separately if you want to know math too.
I agree. The basics come first - technology, which changes frequently and may not always be appropriate (see Powerpoint, and here.)
To visit the Exhibit Hall at an NCTM conference is an infuriating activity for me, but I can't avoid it. I am charged with checking out the competition.
“A small cadre of math specialists is helping teachers with instruction and curriculum.”
While it sounds promising that “math specialists” will be helping teachers with instruction and curriculum, the converse may be likely to occur.
In the following excerpt from "Why Johnny Can’t Calculate" (Los Angeles Times, September 26, 2005--link here), CSU-Northridge mathematics professor David Klein and high school teacher Jennifer Marple have detailed how the “experts” responsible for professional development for LAUSD often fail to deliver.
The district requires math teachers to attend in-service meetings to learn more math and better ways to teach it. No one would quarrel with those goals, but the quality of professional development programs is often so poor that they are likely to cause more harm than good.
Rick Burke remembers looking at his elementary-school daughter's math homework and wondering where the math was.
Like many Seattle schools, his daughter's school was teaching "reform" math, a style that encourages students to discover math principles and derive formulas themselves. Burke, an engineer, worried that his daughter wasn't learning basic math skills.
"It was a lot of drawing pictures and playing games," he said. "Her whole first-grade year was pretty much a lateral move."
So for the past few years, Burke and his wife have been tutoring their three children after school -- and this fall, they plan to switch them to North Beach Elementary, which uses a more traditional approach to math.
The biggest problem is that the teachers currently in service never learned enough math to begin with, and so can’t be expected to teach what they don’t already know. We only think our teachers know math because they know just as little math as we do. If you want to know how scarily ignorant of math our teachers are, I suggest reading Liping Ma’s Knowing and Teaching Elementary Mathematics for a start.
I’ve written about this on my own blog, and I’m not just talking out of my butt here. I’ve taught math to these potential teachers. They lack the prerequisite skills to pass a college algebra class. You can tell who in the class is in the Elementary Education program; they’re the ones sitting in the back row, getting a D on every exam because they have to use a calculator to do three times two (and they think this is normal). So when Bob Brandt of Bellevue says "How do you know three times two equals six? Any idiot knows that," I would counter that an exceptional idiot must be teaching his kids math. We’ve raised an entire generation of teachers who don’t even know enough about math to know that they are ignorant of it.
Some parents say the Madison School District's spending cuts, combined with its attempts to close the achievement gap, have reduced opportunities for higher-achieving students.
Jeff Henriques, a parent of two high-achieving students, said one of the potential consequences he sees is "bright flight" - families pulling students with higher abilities out of the district and going elsewhere because their needs aren't being met.
One of the larger examples of this conflict is surfacing in the district's move toward creating "heterogeneous" classes that include students of all achievement levels, eliminating classes that group students of similar achievement levels together.
Advocates of heterogeneous classes say students achieving at lower levels benefit from being in classes with their higher-achieving peers. But some parents of higher-achieving students are concerned their children won't be fully challenged in such classes - at a time when the amount of resources going to talented and gifted, or TAG, programs is also diminishing.
Working in conjunction with the Schools of Hope project led by the United Way of Dane County, the district has made progress in third-grade reading scores at the lowest achievement levels. But racial and income gaps persist among third-graders reading at proficient and advanced levels.
Other initiatives are taking place in the middle and high schools. There, the district has eliminated "dead-end classes" that have less rigorous expectations to eliminate the chance that students will be put on a path of lower achievement because they are perceived as not being able to succeed in higher-level classes.
In the past, high school students were able to take classes such as general or consumer math. Now, all students are required to take algebra and geometry - or two credits of integrated mathematics, combining algebra, statistics and probability, geometry and trigonometry - in order to graduate.
One of the district's more controversial efforts has been a move toward "heterogeneous" classes that include students of all achievement levels, eliminating classes that group students of similar achievement levels together.
Advocates of heterogeneous classes say students who are achieving at lower levels benefit from being in classes with their higher-achieving peers. But others say the needs of higher-achieving students aren't met in such classes.
And in addition to what schools are already doing, Superintendent Art Rainwater said he would like to put learning coaches for math and reading in each of the district's elementary schools to improve teachers' ability to teach all students effectively.
Five years ago we moved to Madison. A big factor in this decision was the expectation that we could rely on Madison public schools to educate our children. Our eldest went through West High School. To our delight the rigorous academic environment at West High transformed him into a better student, and he got accepted at several good public universities.
Now we are finding this promise betrayed for our younger children. Our elementary school appears to be sliding into disarray. Teachers and children are threatened, bullied, assaulted, and cursed at. Curricula are dumbed down to accommodate students who are unprepared for real school work. Cuts in special education are leaving the special needs kids adrift, and adding to the already impossible burdens of classroom teachers. To our disappointment we are forced to pull one child out of public school, simply to ensure her an orderly and safe learning environment.
Unless the School Board addresses these challenges forcefully and without obfuscation, I am afraid a historic mistake will be made. Madison schools will slip into a vicious cycle of middle class flight and steady decline. The very livability of our city might be at stake, not to mention our property values.
To me the necessary step is clear. The bottom five to ten percent of students, and especially all the aggressive kids, must be removed from regular classes. They should be concentrated in separate schools where they can receive the extra attention and intensive instruction they need, with an option to join regular classes if they are ready.
Meanwhile regular schools should be populated by children who can actually remain in their seats and do school work. Money can be saved by increasing class size. Achievement of underprivileged kids would improve when harmful distractions are removed and teachers can focus on teaching instead of constant discplinary management.
I have boiled things down to three theses, which I imagine most Madisonians would agree with:
I am willing to pay higher taxes to share the burden of those families who struggle to raise disabled children or other kinds of children with special needs.
I am willing to pay higher taxes to provide the special educational services needed to give underprivileged children a fair chance to succeed.
But I am NOT willing to sacrifice my children's education and happiness in school for either of the goals above.
I sincerely hope we can maintain a viable city and its great schools. In the case of Madison these two are inextricably tied together.
An overwhelming majority of Ashland students who were given the choice between traditional math and the Core Plus curriculum decided to take algebra I courses next school year, according to a report given Monday by Ashland High School Principal Steve Gromala.
In a report to the Ashland School Board, it was noted that 83 percent of students signed up for algebra I, which was offered for the first time in several years after parents and board members demanded an alternative to the Core Plus curriculum.
A total of 170 students, including 115 incoming freshmen and 55 of next year’s sophomores, enrolled in the newly offered algebra I course for the 2006-07 school year. By comparison, 34 students enrolled in Core Plus 1.
The addition of algebra I next school year is the first step toward offering a dual-track math curriculum that will allow incoming freshmen to choose between algebra classes and Core Plus. Additional classes such as geometry, algebra II and pre-calculus will be added in future years as students advance.
"I want to ensure you that we will not need any additional staff next year," Gromala told the board. "For future years, we'll have to wait and see."
The 55 sophomores who chose to take algebra I next year will have to start over in the traditional curriculum and must take a minimum of three years of algebra to meet graduation requirements, Gromala noted.
To ensure that students had equal opportunity to choose either algebra or Core Plus, Gromala said the new algebra class was offered during each of the school's eight daily sections.
Board member Jeanne Thompson, a longtime proponent of implementing a dual math curriculum, thanked Gromala and Curriculum Director Barb O'Brien for setting up the new schedule.
"It's been a long road, but the parents' wishes are being met," Thompson said. "That's very important."
Now that enrollment numbers have been determined, the school's math department is trying to decide which textbook to purchase for next year's students.
Math teachers have already reviewed 14 different algebra books using a list of criteria and have narrowed their selection to two choices: Glencoe/McGraw Hill 2005 and McDougal Littell 2007.
"They're in unanimous agreement that either of these textbooks would be appropriate," O'Brien said.
However, because of the public's interest in the new math curriculum, O'Brien wanted to give community members an opportunity to review the two texts before the board approves a set of books at its April meeting.
As a result, over the next month, community members can stop by the school district's administrative offices, review each of the textbooks and fill out comment cards.
The Ashland School District's central office is located at 2000 Beaser Avenue, and Curriculum Director Barb O'Brien can be contacted at 682-7080, ext. 4.
The new TIMSS 1999 Video Study report on eighth-grade science teaching examines how students in 5 countries, including the United States, experience science as it is actually taught.
A Study of Core Plus Mathematics Students Attending Michigan State University
Richard O. Hill and Thomas H. Parker: Department of Mathematics - Michigan State University [Complete Study: PDF]:
One measure of the effectiveness of a high school mathematics program is the success students have in subsequent university mathematics courses. As part of a large-scale study of Michigan students, we analyzed the records of students arriving at Michigan State University from four high schools which adopted the Core-Plus Mathematics program. Those students placed into, and enrolled in, increasingly lower level courses as the implementation progressed; the downward trend is statistically very robust (p < .0005). The grades these students earned in their university mathematics courses were also below average (p < .01). ACT scores suggested the existence but not the severity of these trends.
Over the past two decades there has been a growing awareness of the inadequacy of the mathematical skills of American high school graduates. That was the assessment of the 1983 report A Nation at Risk [9]. Many subsequent studies point to the same conclusion. The most recent National Assessment of Educational Progress (NAEP) Report [2] concluded that only 17 percent of US twelfth graders were proficient at mathematics (1). International comparisons also indicate a relatively low level of mathematics achievement by US high schoolstudents. The Third International Mathematics and Science Study (TIMSS) assessed the ‘Mathematics Literacy’ of end-of -secondary students in 22 countries and found that US students statistically outperformed only two countries, Cyprus and South Africa [13]. Related studies suggest that the mathematics courses taken by American high school students are often at a lower level than those taken by their international peers, and that US high schools are offering a wide assortment of courses which lack the focus and coherence found in many foreign curricula [14]. This situation has been of particular concern on college and university campuses, where large numbers of students require remedial courses to bring their mathematical knowledge and skills up to what is required for college-level mathematics and science courses.
Despite nearly 30 years of improvements in U.S. children's overall quality of life, their basic academic skills have barely budged, according to research led by a Duke University sociologist.
The "educational flatline," as measured by scores on math and reading exams, defies researchers' expectations, because other quality-of-life measures, such as safety and family income, have improved steadily since 1975.
More recently, even areas that had worsened in the 1970s and 1980s, such as rates of teen suicide, have improved dramatically, so researchers had expected that education improvements would soon follow. They didn't.
Thousands of schools across the nation are responding to the reading and math testing requirements laid out in No Child Left Behind, President Bush's signature education law, by reducing class time spent on other subjects and, for some low-proficiency students, eliminating it.
Schools from Vermont to California are increasing — in some cases tripling — the class time that low-proficiency students spend on reading and math, mainly because the federal law, signed in 2002, requires annual exams only in those subjects and punishes schools that fall short of rising benchmarks.
The changes appear to principally affect schools and students who test below grade level.
Unless you have a kid in the Madison schools, many of the issues discussed by the four Madison school board candidates in our weekly Take-Home Test may not strike a familiar chord.
That's why we asked our schools reporter Jason Shepard to provide an overview in this week's Isthmus of the trends buffeting the 24,000-student district. The cover story is: The Fate of the Schools: Will the Madison district sink or swim? April 4th elections could prove pivotal.
As you'll read, the growing number of poor students, decreased state funding and nasty board infighting provide a sobering context for the election.
Shepherd has written the definitive piece for the April 4, 2006 election. Pick up the current Isthmus and have a look or view the article online here. I've placed two charts from the article below (click continue reading..... if you don't see them).
Espen Andersen, Associate Professor, Norwegian School of Management and Associate Editor, Ubiquity:
[The following article was written for Aftenposten, a large Norwegian newspaper. The article encourages students to choose math as a major subject in high school - not just in preparation for higher education but because having math up to maximum high school level is important in all walks of life. Note: This translation is slightly changed to have meaning outside a Norwegian context.]
Why you should choose math in high school
A recurring problem in most rich societies is that students in general do not take enough math - despite high availability of relatively well-paid jobs in fields that demand math, such as engineering, statistics, teaching and technology. Students see math as hard, boring and irrelevant, and do not respond (at least not sufficiently) to motivational factors such as easier admission to higher education or interesting and important work.
Michael Lauro, the district's new math coordinator, will discuss plans for a curriculum called FASTT Math.
PROVIDENCE - Osiris Harrell, an outspoken critic of the school district's math curriculum, has invited parents and school officials to a meeting March 22 to discuss the effectiveness of the math program.
The forum will be held from 6 to 8 p.m. at the Federal Hill House, 9 Cortland St., Providence.
Michael Lauro, the district's new math coordinator, will discuss plans for a fresh approach to math called FASTT Math. The district is considering trying it on a limited basis next year.
Harrell has met with Lauro to discuss his concerns about the current math program and to agree on how to work together, according to school spokeswoman Maria Tocco.
Harrell, in a recent interview with The Providence Journal, said he was distressed by the district's approach to math instruction, a program called Math Investigations that teaches students how to think about problem-solving rather that drilling them in the basics. The district adopted it in 2003 at the urging of then-Supt. Diana Lam.
Harrell, who is forming a parents' watchdog group called Project Future 2000 and
Beyond, has been circulating a petition that asks the district to prove that its current math curriculum works. When Harrell gets 800 signatures, he said he will present the petition to Mayor David N. Cicilline and Schools Supt. Donnie Evans.
After Harrell's comments were published in The Journal, he said that a number of parents contacted him to share their frustration with Math Investigations, which encourages students to come up with their own solutions to basic math problems.
By contrast, FASTT Math is a return to the skill-and-drill approach familiar to many of today's parents. After taking an on-line test to determine their skill levels, students spend 10 minutes answering basic math problems. The problems get harder as the student progresses.
"The theory is that students need to be able to recall these facts within so many seconds so they can free up their minds for higher-order math skills," said Debbie Hodin, director of direct marketing for Tom Snyder Productions, the company that makes the software.
A number of school districts, including Hillsborough, Fla., Evans' former employer, have adopted the program, which is designed for students who are struggling with basic math, especially those who are performing at least one grade level below their peers.
FASTT Math was developed by Ted Hasselbring, a professor of special education technology at the University of Kentucky, and Laura Goin, the CEO of Designs for Learning.
In his State of the Union address in January, President Bush stressed the importance of improving math education. He proposed to "train 70,000 high school teachers to lead advanced placement courses in math and science, bring 30,000 math and science professionals to teach in classrooms, and give early help to students who struggle with math."
But where will these teachers come from? And will the training of teachers be sufficient to increase the number of students choosing math and science careers? And why does all this matter?
Because mathematics is the foundation of the natural sciences. It is no coincidence that Isaac Newton, the man who formulated the law of gravitational attraction that revolutionized our understanding of the universe, was also the man who popularized the calculus. And the natural sciences, however pure, are what give us airplanes, cable TV and the Internet.
In the 2003 Program for International Student Assessment, a test that measures math literacy, American 15-year-olds performed worse than their peers in 23 countries, as well as those in Hong Kong. It's not hard to see why. According to the National Council of Teachers of Mathematics, 40 percent of the nation's middle school math teachers do not have the equivalent of an undergraduate minor in math. The average starting salary of a teacher is only $30,000, whereas the average starting salary for a recent college graduate in computer science or engineering is $50,000.
Jonathan Farley is a professor in the Department of Mathematics and Computer Science at the University of the West Indies, Jamaica, and a CISAC science fellow.
A high-quality mathematics program is essential for all students and provides every student with the opportunity to choose among the full range of future career paths. Mathematics, when taught well, is a subject of beauty and elegance, exciting in its logic and coherence. It trains the mind to be analytic—providing the foundation for intelligent and precise thinking.
To compete successfully in the worldwide economy, today’s students must have a high degree of comprehension in mathematics. For too long schools have suffered from the notion that success in mathematics is the province of a talented few. Instead, a new expectation is needed: all students will attain California’s mathematics academic content standards, and many will be inspired to achieve far beyond the minimum standards.
The content standards identify what all students in California public schools should know and be able to do in mathematics at each grade level. The standards emphasize computational and procedural skills, conceptual understanding, and problem solving. The standards are organized by grade level and are presented in five strands up to grade seven: number sense, algebra and functions, measurement and geometry; statistics, data analysis, and probability; and mathematical reasoning. The mathematics studied in grades eight through twelve falls naturally under the discipline headings of algebra, geometry, etc.
The United States is falling behind China and India in producing scientists and mathematicians, raising serious questions about America's economic future.
While the national scene is troubling, Wisconsin enjoys some bright spots.
State students consistently score above the national average on the ACT college admissions test, especially in math and science. An increasing number 69 percent of 2005 graduates took the test.
To compete in the global knowledge-based economy, Wisconsin must continue its commitment to math and science education and encourage more students to take related courses.
Susan Lochen, Madison West High School (co-signed by other West math teachers: Janice Cis, Keith Knowles, Carol Michalski, Jackie Hubbard, Daniel Boyland, Artie L. Orlik, Stephen Lang, Stephen Land, Tim Goldsworthy):
Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
It seems the administration and our school board have re-defined "success" as merely producing "fewer failures." Astonishingly, excellence in student achievement is visited by some school district administrators with apathy at best, and with contempt at worst. But, while raising low achievers is a laudable goal, it is woefully short-sighted and, ironically, racist in the most insidious way. Somehow, limiting opportunities for excellence has become the definition of providing equity! Could there be a greater insult to the minority community?
I'd forgotten (unfortunately) about this letter. School Board Seat 1 candidate Maya's post below included a link to these words. The current school board majority has not addressed these critical questions....
From his book, Innumeracy, Mathematical Illiteracy And Its Consequences, John Allen Paulos defines innumeracy as, "...an inability to deal comfortably with the fundamental notions of number and chance, [it] plagues far too many otherwise knowledgeable citizens."
Paulos goes on to state that, "[i]n an increasingly complex world full of senseless coincidence, what's required in many situations in not more facts---we're inundated already---but a better command of known facts, and for this a course in probability is invaluable...Probability, like logic, is not just for mathematicians anymore. It permeates our lives."
Finally, Paulos concludes, "I'm distressed by a society which depends so completely on mathematics and science and yet seems so indifferent to the innumeracy and illiteracy of so many of its citizens; with a military that spends more than one quarter of a trillion dollars each year on ever smarter weapons for ever more poorly educated soldiers; and with the media which invariably become obsessed with this hostage on an airliner, or that baby who has fallen into a well, and seems insufficiently passionate when it comes to addressing problems such as urban crime, environmental deterioration, or poverty."
So where do we start?
Math curriculum.
That's right, we start with math. The complicated and controversial topic of many school districts; but one that I hope, can be dicussed at every school board forum in the next few weeks.
A very lively discussion of the math curriculum in the Madison Metropolitan School District ensued recently at a forum held with University math professors, the school of Education, the general public and the MMSD administration. (You can watch the video below.)
As a result, banks are hiring an increasing number of recruits who understand derivatives. Inside banks, they are known as "quantitative analysts," or "quants" for short. They are able to marry stochastic calculus -- the study of the impact of random variation over time -- with the realities of financial trading.
Derivatives are financial contracts, often exotic, whose values are derived from the performance of an underlying asset to which they are linked. Companies use them to help mitigate risk. For example, a company that stands to lose money on fixed-rate loans if rates rise can mitigate that risk by buying derivatives that increase in value as rates rise. Increasingly, investors are also using derivatives to make big bets on, say, the direction that interest rates will move. That carries the possibility of large returns, but also the possibility of large losses.
The 75 or so students who take Ms. El Karoui's "Probability and Finance" course each year are avidly sought by recruiters. Three years ago, Joanna Cohen, a specialist in quant recruitment at Huxley Associates in London traveled to Paris to meet Ms. El Karoui to ensure her search firm was in the loop when students hit the job market. Today, Ms. Cohen says she carefully checks résumés with Ms. El Karoui's name to make sure applicants aren't overstating their interaction with the professor.
There's no doubt that Isthmus has the juice in this campaign. The traditional daily newspapers haven't covered any substantive issues in this race. I'd like to see some links/words that contrast my opinion on their lack of "beef" (Have they attended any forums?). Focusing on personalities is a simple, self made "pass" that avoids issues critical to our children:
Leadership that can pass referenda (will the current approach and personalities be successful?)
Transparency with respect to the District's growing $321M+ budget. Again, will the current approach pass the necessary referenda?
Isthmus's work represents the best of local journalism. Rather amazing, given the resources they have vs the enormous dailies. Interestingly, the Fitchburg Star has posted some useful articles as well.
The Memorandum to Local Media represented one attempt to at least look at the issues rather than simply compare and contrast personalities.
Columnist Richard Cohen isn't the first to advise young people not to bother about learning math. In 2003, WOAI in San Antonio asked a selection of adults -- a radio DJ, a school board president, a councilman and a former judge -- to take Texas' new TAKS test, a graduation requirement. The school board president got an A in English and a B in math. Everyone else flunked the math. DJ Jamie Martin tells students not to worry.
"Kids did you hear me? You don't need to learn math like me. You can still be successful and do bad on math."
Despite the grammatical error, she scored a B in English.
More than half of San Antonio's 11th graders failed on their first try.
Educators say they saw the same kind of failure rates and complaints when they introduced the TAAS test. By the time it was retired, those teachers say, the TAAS test was considered too easy.
Adults who've been away from the classroom for years are bound to be rusty on their "vertices and vortexes," not to mention "the little numbers." If they needed to pass the test to get ahead, they'd study and learn. San Antonio students can do that too. They're more likely to be successful if they can do the math. Not everybody can grow up to work in the innumerate media.
"And that's what's so exciting about the program for the kids," said Luke Felker, Madison Country Day School, "is that through some solid work at the beginning, they begin to realize that they can do a lot of this in their heads."
Felker says the program also focuses more on depth, than it does covering a variety of math lessons, making it easier for the kids to retain what they learn.
Retired UW professor Richard Askey says the Singapore program is highly successful, but it isn't the only way to properly teach math.
"It's possible to do it in other ways," said Askey. "Japanese elementary schools are not exactly the same as the Singapore, and they're done carefully."
Askey says US schools haven't been teaching math 'carefully.'
At a meeting on February 22 (audio / video), representatives of the Madison Metropolitan School District presented some data [820K pdf | html (click the slide to advance to the next screen)] which they claimed showed that their middle school math series, Connected Mathematics Project, was responsible for some dramatic gains in student learning. There was data on the percent of students passing algebra by the end of ninth grade and data from the state eighth grade math test for eight years. Let us look at the test data in a bit more detail.
All that was presented was data from MMSD and there was a very sharp rise in the percent of students scoring at the advanced and proficient level in the last three years. To see if something was responsible for this other than an actual rise in scores consider not only the the Madison data but the corresponding data for the State of Wisconsin.
The numbers will be the percent of students who scored advanced or proficient by the criteria used that year. The numbers for Madison are slightly different than those presented since the total number of students who took the test was used to find the percent in the MMSD presented data, and what is given here is the percent of all students who reached these two levels. Since this is a comparative study, either way could have been used. I think it is unlikely that those not tested would have had the same overall results that those tested had, which is why I did not figure out the State results using this modification. When we get to scores by racial groups, the data presented by MMSD did not use the correction they did with all students ( All 8th grade students in both cases)
MMSD
Wisconsin
Oct 97
40
30
Feb 99
45
42
Feb 00
47
42
Feb 01
44
39
Feb 02
48
44
Nov 02
72
73
Nov 03
60
65
Nov 04
71
72
This is not a picture of a program which is remarkably successful. We went from a district which was above the State average to one with scores at best at the State average. The State Test was changed from a nationally normed test to one written just for Wisconsin, and the different levels were set without a national norm. That is what caused the dramatic rise from February 2002 to November 2002. It was not that all of the Middle Schools were now using Connected Mathematics Project, which was the reason given at the meeting for these increases.
It is worth looking at a breakdown by racial groups to see if there is something going on there. The formats will be the same as above.
Hispanics
MMSD
Wisconsin
Oct 97
19
11
Feb 99
25
17
Feb 00
29
18
Feb 01
21
15
Feb 02
25
17
Nov 02
48
46
Nov 03
37
38
Nov 04
50
49
Black (Not of Hispanic Origin)
MMSD
Wisconsin
Oct 97
8
5
Feb 99
10
7
Feb 00
11
7
Feb 01
8
6
Feb 02
13
7
Nov 02
44
30
Nov 03
29
24
Nov 04
39
29
Asian
MMSD
Wisconsin
Oct 97
25
22
Feb 99
36
31
Feb 00
35
33
Feb 01
36
29
Feb 02
41
31
Nov 02
65
68
Nov 03
55
53
Nov 04
73
77
White
MMSD
Wisconsin
Oct 97
54
35
Feb 99
59
48
Feb 00
60
47
Feb 01
58
48
Feb 02
62
51
Nov 02
86
81
Nov 03
78
73
Nov 04
88
81
I see nothing in the demography by race which supports the claim that Connected Mathematics Project has been responsible for remarkable gains. I do see a lack of knowledge in how to read, understand and present data which should concern everyone in Madison who cares about public education. The School Board is owed an explanation for this misleading presentation. I wonder about the presentations to the School Board. Have they been as misleading as those given at this public meeting?
Ms. Cornelius (an anonymous AP History high school teacher):
All of my grades are based on percentages. I'm not one of these teachers who wants to convert someone's scores in my head, so I just weight grades differently. But all grades are based on 100 possible points. I can tell at a glance how a student is doing this way.
But this habit often makes it interesting when students are trying to figure out their grades on quizzes. I usually have a rather simple number of questions in terms of being able to calculate grades easily: 5, 10, 12, 20, 25, or 33 items. As I watched several of my AP students struggle with figuring out their grades, I had to suppress a groan of frustration. It was a 20 item quiz-- therefore each question would be worth 5 points, right? Young Frederick wanted to pull out his calculator to figure out what his score would be if he missed 7.
"No calculator. You can do this," I urged.
He couldn't begin to figure out how to determine his grade without a calculator. He is 16 years old and taking pre-calculus and other college-track classes (I never took a course beyond algebra 2, much to my chagrin). He doesn't immediately know that 7x5=35, and then subtract 35 from 100, nor can he figure out that 13x5=65. As a matter of fact, he stumbled over the 100-35 part and insisted the answer was 75.
It is obvious that his only problem is NOT that he didn't do his reading for my AP US history class carefully enough last night. His problem begins with a basic innumeracy. Of course, many would say that he is a victim of a larger educational trend which I pray to God is finally being placed on the pyre of idiotic educational theories: that rote memorization is bad, bad, baddety bad bad.
Video and audio from Wednesday's Math Forum are now available [watch the 80 minute video] [mp3 audio file 1, file 2]. This rare event included the following participants:
Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
It seems the administration and our school board have re-defined "success" as merely producing "fewer failures." Astonishingly, excellence in student achievement is visited by some school district administrators with apathy at best, and with contempt at worst. But, while raising low achievers is a laudable goal, it is woefully short-sighted and, ironically, racist in the most insidious way. Somehow, limiting opportunities for excellence has become the definition of providing equity! Could there be a greater insult to the minority community?
Learning from Teaching: Exploring the Relationship between Reform Curriculum and Equity, Jo Boaler, Stanford University [110K pdf]:
Some researches have expressed doubts about the potential of reform-oriented curricula to promote equity. This article considers this important issue and argues that investigations into equitable teaching must pay attention to the particular practices of teaching and learning that are enacted in the classrooms. Data are presented from two studies which middle school and high school using reform-oriented mathematics curricula achived a reduction in linquistic, ethnic, and class inequalities in their schools. The teaching and learnign practices that these teachers employed were central to the attainment of equality, suggesting that it is critical that relational analyses of equity go beyond the curriculum to include the teacher and training.
The Real Story Behind Story Problems: Effects of Representations on Quantitative Reasoning Kenneth R. Koedinger, Human–Computer Interaction Institute Carnegie Mellon University; Mitchell J. Nathan, School of Education, University of Colorado [677K PDF]:
This article explores how differences in problem representations change both the performance and underlying cognitive processes of beginning algebra students engaged in quantitative reasoning. Contrary to beliefs held by practitioners and researchers in mathematics education, students were more successful solving simple algebra story problems than solving mathematically equivalent equations. Contrary to some views of situated cognition, this result is not simply a consequence of situated world knowledge facilitating problem-solving performance, but rather a consequence of student difficulties with comprehending the formal symbolic representation of quantitative relations. We draw on analyses of students’ strategies and errors as th ebasis for a cognitive process explanation of when, why, and how differences in problem representation affect problem solving. We conclude that differences in external represen-
tations can affect performance and learning when one representation is easier to comprehend than another or when one representation elicits more reliable and meaningful solution strategies than another.
NAEP 2005 data for US, Wisconsin, Minnesota, and Texas
4th grade
US WI MN TX
All students 237 241 246 242
White 246 247 251 254
African-American 220 210 219 228
Hispanic 225 224 223 235
8th grade
All students 278 285 290 281
White 288 291 296 295
African-American 254 246 251 264
Hispanic 261 265 263 271
Terry Millar: Wisconsin Center for Education Research:
Attached is the powerpoint presentation [820K pdf | html (click the slide to advance to the next screen)] that Linda, Faye, and I used.
I also have cc'd UW-Madison Curriculum and Instruction Professor Victoria Hand who spoke from the audience Wednesday evening. You might contact her about contacts in the School of Education with expertise on the science of testing, or for research in math education. Dr. Norman Webb is one such person, and therefore I have copied him also. As I said that evening, Connected Math will be releasing a report sometime in March that has a lot of information about implementation of Connected Math nationwide. Their url is
I found the forum interesting - thanks for arranging it.
Gisele Sutherland: Madison Parent
Last night was a display of statistics that 3 of the 4 professors shot holes in quickly. I really don't care what the statistics show -- I'm NOT happy with the math curriculum. And, as a taxpayer, I should have a say, and I do, but I am not heard -- as evidenced last night, where I felt I was dismissed when I went to speak to one of the MMSD panelists.
We have to reinforce fractions and teach percentages, decimals, etc at home because the basic building blocks are not being addressed in the classroom. Ridiculous. As parents, we should not have to do the job ourselves -- support the job done at school, YES. But, do the job ourselves, NO. And, my sense is the teachers agree with us -- two or three with whom I have spoken at Thoreau would love direction to switch to Singapore. It's logical, sequential, and text-book based, as opposed to all these loose sheets that come home, which do not seem to build on anything.
Steffen Lempp: Madison Parent and UW Math Professor:
But, whenever data or statistics or testing was mentioned, the conversation was redirected.
There seems to be little understanding of testing, what each test means, what each kind of test tests; characteristics of norm referenced tests (NRT), of criterion referenced tests with their cut scores, achievement tests, predictive tests, how test items are chosen, the specific characteristics of WKCE, NAEP, TIMSS, PISA, ACT, SAT, GRE, LSAT, MCAT, etc.
Statistics is not understood, and how it is reflected in the testing, and testing wars. Classics such as Huff's How to Lie With Statistics, and more currently, Best's two books "Damn Lies and Statistics", and "More Damn Lies and Statistics". Seems to me these books are the bibles of the advocates.
Prof Askey mentioned the NAEP as the key indicator of student success, but the National Academy of Science, as cited approvingly by NCES, "NAEP's current achievement level setting procedures remain fundamentally flawed. The judgment tasks are difficult and confusing; raters’ judgments of different item types are internally inconsistent; appropriate validity evidence for the cut scores is lacking; and the process has produced unreasonable results."
What I am seeing is purposeful misrepresentation in the schooling wars, each side conveniently hiding flaws and inconsistency in their reasoning and data. All smoke and little light.
I would like to suggest a forum to discuss the "science" of testing to help remove the smoke.
Thanks
---------------------------------------------
Larry Winkler
Gabriele Meyer: Madison Parent and UW Math Lecturer
Good evening, I am Gabriele Meyer and I am a lecturer in the Math dept at
UW Madison. Through my son, Walter, I first encountered Connected Math.
Here is what I found:
on a practical level:
the material covered in Connected Math is insufficient in depth and structure and even in scope, e.g. it doesn't explicitly cover double fractions and even though it is excessively wordy, it doesn't cover multistep word problems.
The way material is covered does not stress the connections within math, i.e. the mathematical structures and rules, which to a large extent are the beauty of the field
there are way too few exercises to firm up the concept in the learner.
It takes a very good teacher to achieve a good outcome given these flaws. In particular, the teacher would have to supplement with other material and modify lesson plans. This is inefficient and prone to great inequities in teaching performance.
on a philosophical level:
Math was discovered over thousands of years and represents the
distillate of the efforts of its many practitioners. The next step can
only be comprehended if the previous one has been understood.
The investigative/discovery method, while very enjoyable, makes the
student to reinvent the wheel, without the benefit of the rules already
discovered. 12 years of math education are simply too short to have
students discover their way to calculus, a path that took humanity from
prehistory to the 16 hundreds.
What can be done?
On a general note, any teaching philosophy elevated to the level of dogma is bad. Good teachers usually use a mix of techniques. We should not completely discard the investigative approach, but we should look at what others, also in other countries, do better.
For uniform Math instruction at the Middle school level, I personally, would use Singapore Math. It worked for our son, with Discovery/Connected Math as a backup and supplement. This ensures that the benchmarks (arithmetic with whole numbers and fractions, some geometry) are met and the kids can go on to geometry and algebra in high school.
If there are to be different Math class styles in middle school, then the choice of which class to attend should be left to the parents/children with the understanding that in some classes more homework is required to keep up.
Also, it should be clear that certain types of math are terminal in the sense that they do not prepare for the next level. For example, to a very large extent Discovery type math throughout high school does not prepare for the rigors of Calculus, as is needed for the sciences and engineering. It costs time and money to make up for this in college.
I think it is especially important that *Public Schools* provide a solid math curriculum for the sake of economically and socially disadvantaged youths. They can't get it anywhere else.
Thank you.
Mike and Kristin Jenkins: Chapel Hill, NC
We feel your pain, and have left Madison to live in an area that "gets it". Our 6th grade son is now enrolled in a racially diverse public school program and studying among other things the quadratic equation and Shakespeare. In addition to this our property taxes are about half what they were in Madison. A short description of the program is below. UW is just as good (probably better) as UNC and I expect this could be put together in Wisconsin. We would move back in a minute if a "LEAP like" program was available in Wisconsin. Wisconsin spends lots of money on challenged folks who need help...gifted kids need help too...as your dropout rates indicate. I have no doubt in my mind that my son would not have made it through public school in Wisconsin.
Tar Heel Education: Something For The Gifted
In the schools of the college town of Chapel Hill, North Carolina, kids who score above the 97th percentile in reading and math are invited to participate in a program that is designed to meet their needs:
Carol Horne, gifted program curriculum coordinator for Chapel Hill-Carrboro City Schools, explained in a presentation Tuesday night at Smith Middle School the logistics of LEAP. [ Learning Environment for Advanced Programming]
The program is geared toward kids who have “demonstrated extraordinary levels of intellectual potential and academic achievement found in the top 1 percent of the national population in reading and math,” according to Horne’s presentation.
Previously offered only to fourth- and fifth-graders, the program now is available at Smith to all eligible district students in sixth- and seventh-grades. And by the 2006-07 school year, eighth-graders will get their chance to prove their skills.
Ed Holub, whose child participates in the program, said he is pleased with the program and emphasized its necessity.
“It’s hard to operate with a wide range of students in the class,” he said. “It fulfills the district’s mission of meeting each child’s potential in every classroom.”
Holub said it is almost impossible for teachers to instruct each student at his or her own proficiency level in a class, and that LEAP provides an efficient way of teaching the most talented kids.
Tuesday’s information session focused on availability and which children qualify for the program. Horne explained that a committee decides entrance based on aptitude or achievement — students take the Naglieri Non-Verbal Aptitude Test as one indicator.
Only those who score in the 97th percentile or higher on both the reading and math portions of the test are eligible for the program.
Horne said many parents who have children who qualified for the program might choose not to leave their individual school, adding that each system school had a “thriving, excellent gifted program.”
One concern about LEAP is that students might be isolated from the rest of the school population, which might prove detrimental.
But Valerie Reinhardt, principal at Smith, said no such problem exists.
Students in the program have homeroom and four core sections with their LEAP classmates but attend three electives that allow them to follow an avenue of learning of their choice, she added.
“Above all, they are Smith students, not LEAP students,” she said.
Boyd Blackburn, a math and social studies teacher in the program, agreed.
“In the middle school, they aren’t isolated,” he said. “It’s a good mix. I would not describe them as isolated, and I don’t think they feel isolated either.”
So far, Reinhardt said the installation of the program into middle school has progressed smoothly.
“There’s a lot of healthy learning,” she said. “There were a couple of bumps in the beginning, but the kids and parents are pleased.”
Holub admitted how satisfied he was with the program so far.
“I think the district did an outstanding job of recruiting teachers and putting together a curriculum,” he said. “They are very committed to making the entire LEAP program a success.”
It is a most unfortunate fact that in many American schools bright and highly-motivated children are often "picked-on" by students who think that school is not a place to work and learn but a place to play and waste time.
It is even more unfortunate that in many cases, the schools permit this to continue.
The books are distributed by an Oregon-based company known as SingaporeMath.com, which counts a private school in Madison as the first of its growing number of clients.
The biggest difference between math instruction in Singapore - a city-state with a population of about 4.4 million - and the United States is a simple premise: Less is more.
Students in Singapore are introduced to roughly half the number of new math topics a year as students in the United States are. Experts and policy analysts say Singapore's emphasis on depth over breadth is a formula for success.
The thicker the textbooks and the greater the volume of math topics introduced a year, the less likely American students and teachers are to achieve similar results, says Alan Ginsburg, director of the policy and program studies service at the U.S. Department of Education.
With scientific expertise sweeping the globe, the next generation of American scientists and engineers are going to face unprecedented competition, and college is too late to begin preparing them for it, according to the National Science Board.
The board released its “Science and Engineering Indicators, 2006″[pdf] report Thursday. The report, which focused on elementary and secondary education, cast a foreboding tone. According to the report, while the scores of American students on national math assessments have risen slightly in recent years, the same cannot be said for science. According to the 2003 Trends in International Mathematics Science Study , fourth and eighth graders in the United States performed better in math and science than the international average of industrial nations, but improvement since 1995 was modest for eighth graders, and fourth graders took a slight step backward.
Even a fourth grade student who is getting his or her first exposure to science might already be left in the starting blocks, according to Jo Ann Vasquez, a National Science Board member and the lead author of the report. “[Kids] have to get science by third grade,” she said, “or that wonderment disappears.”
This is from a recent article in the Los Angeles Times. I was alerted to it by the Daily Howler blog http://www.dailyhowler.com/. I mention this because that site has had some great education coverage lately and will soon be launching an all-education companion blog.
THE VANISHING CLASS
A Formula for Failure in L.A. Schools
Because they can't pass algebra, thousands of students are denied diplomas. Many try again and again -- but still get Fs.
By Duke Helfand
Times Staff Writer
January 30, 2006
Each morning, when Gabriela Ocampo looked up at the chalkboard in her ninth-grade algebra class, her spirits sank.
There she saw a mysterious language of polynomials and slope intercepts that looked about as familiar as hieroglyphics.
She knew she would face another day of confusion, another day of pretending to follow along. She could hardly do long division, let alone solve for x.
"I felt like, 'Oh, my God, what am I going to do?' " she recalled.
Gabriela failed that first semester of freshman algebra. She failed again and again — six times in six semesters. And because students in Los Angeles Unified schools must pass algebra to graduate, her hopes for a diploma grew dimmer with each F.
Midway through 12th grade, Gabriela gathered her textbooks, dropped them at the campus book room and, without telling a soul, vanished from Birmingham High School.
Her story might be just a footnote to the Class of 2005 except that hundreds of her classmates, along with thousands of others across the district, also failed algebra.
Of all the obstacles to graduation, algebra was the most daunting.
The course that traditionally distinguished the college-bound from others has denied vast numbers of students a high school diploma.
"It triggers dropouts more than any single subject," said Los Angeles schools Supt. Roy Romer. "I think it is a cumulative failure of our ability to teach math adequately in the public school system."
When the Los Angeles Board of Education approved tougher graduation requirements that went into effect in 2003, the intention was to give kids a better education and groom more graduates for college and high-level jobs. For the first time, students had to pass a year of algebra and a year of geometry or an equivalent class to earn diplomas.
The policy was born of a worthy goal but has proved disastrous for students unprepared to meet the new demands.
In the fall of 2004, 48,000 ninth-graders took beginning algebra; 44% flunked, nearly twice the failure rate as in English. Seventeen percent finished with Ds.
In all, the district that semester handed out Ds and Fs to 29,000 beginning algebra students — enough to fill eight high schools the size of Birmingham.
Among those who repeated the class in the spring, nearly three-quarters flunked again.
The school district could have seen this coming if officials had looked at the huge numbers of high school students failing basic math.
Lawmakers in Sacramento didn't ask questions either. After Los Angeles Unified changed its policy, legislators turned algebra into a statewide graduation requirement, effective in 2004.
Now the Los Angeles school board has raised the bar again. By the time today's second-graders graduate from high school in 2016, most will have to meet the University of California's entry requirements, which will mean passing a third year of advanced math, such as algebra II, and four years of English.
Former board President Jose Huizar introduced this latest round of requirements, which the board approved in a 6-1 vote last June.
Huizar said he was motivated by personal experience: He was a marginal student growing up in Boyle Heights but excelled in high school once a counselor placed him in a demanding curriculum that propelled him to college and a law degree.
"I think there are thousands of kids like me, but we're losing them because we don't give them that opportunity," said Huizar, who left the school board after he was elected to the Los Angeles City Council last fall. "Yes, there will be dropouts. But I'm looking at the glass half full."
Discouragement, Frustration
Birmingham High in Van Nuys, where Gabriela Ocampo struggled to grasp algebra, has a failure rate that's about average for the district. Nearly half the ninth-grade class flunked beginning algebra last year.
In the spring semester alone, more freshmen failed than passed. The tally: 367 Fs and 355 passes, nearly one-third of them Ds.
All those failures and near failures have left a wake of discouraged students and exasperated teachers.
Fifteen-year-old Abraham Lemus, the son of Salvadoran immigrants, finally scraped by with a D after his mother hired a tutor. But he recalls how he failed the first time he took the course. "I was starting to get suicide thoughts in my head, just because of math," he said.
Shane Sauby, who worked as an attorney and stockbroker before becoming a teacher, volunteered to teach the students confronting first-year algebra for a second, third or fourth time. He thought he could reach them.
But, Sauby said, many of his students ignored homework, rarely studied for tests and often skipped class.
"I would look at them and say, 'What is your thinking? If you are coming here, why aren't you doing the work or paying attention or making an effort?' " he said. Many would just stare back.
Sauby, who now teaches in another district, failed as many as 90% of his students.
Like other schools in the nation's second-largest district, Birmingham High deals with failing students by shuttling them back into algebra, often with the same teachers.
Last fall, the school scheduled 17 classes of up to 40 students each for those repeating first-semester algebra.
Educational psychologists say reenrolling such students in algebra decreases their chances of graduating.
"Repeated failure makes kids think they can't do the work. And when they can't do the work, they say, 'I'm out of here,' " said Andrew Porter, director of the Learning Sciences Institute at Vanderbilt University in Nashville.
The strategy has also failed to provide students with what they need most: a review of basic math.
Teachers complain that they have no time for remediation, that the rapid pace mandated by the district leaves behind students like Tina Norwood, 15, who is failing beginning algebra for the third time.
Tina, who says math has mystified her since she first saw fractions in elementary school, spends class time writing in her journal, chatting with friends or snapping pictures of herself with her cellphone.
Her teacher wasn't surprised when Tina bombed a recent test that asked her, among other things, to graph the equations 4x + y = 9 and 2x -- 3y = -- 6. She left most of the answers blank, writing a desperate message at the top of the page: "Still don't get it, not gonna get it, guess i'm seeing this next year!"
Teachers wage a daily struggle in classes filled with students like Tina.
Her teacher, George Seidel, devoted a class this fall to reviewing equations with a single variable, such as x -- 1 = 36. It's the type of lesson students were supposed to have mastered in fourth grade.
Only seven of 39 students brought their textbooks. Several had no paper or pencils. One sat for the entire period with his backpack on his shoulders, tapping his desk with a finger.
Another doodled an eagle in red ink in his notebook. Others gossiped as Seidel, a second-year teacher, jotted problems on the front board.
"Settle down," Seidel told the fifth-period students a few minutes after the bell rang. "It doesn't work if you guys are trying to talk while I'm trying to talk."
Seidel once brokered multimillion-dollar business deals but left a 25-year law career, hoping to find a more fulfilling job and satisfy an old desire to teach. Nothing, however, prepared him for period five.
"I got through a year of Vietnam," he said, "so I tell myself every day I can get through 53 minutes of fifth period…. I don't know if I am making a difference with a single kid."
Seidel did not appear to make a difference with Gabriela Ocampo. She failed his class in the fall of 2004 — her sixth and final semester of Fs in algebra.
But Gabriela didn't give Seidel much of a chance; she skipped 62 of 93 days that semester.
After dropping out, Gabriela found a $7-an-hour job at a Subway sandwich shop in Encino. She needed little math because the cash register calculated change. But she discovered the cost of not earning a diploma.
"I don't want to be there no more," she said, her eyes watering from raw onions, shortly before she quit to enroll in a training program to become a medical assistant.
Could passing algebra have changed Gabriela's future? Most educators would say yes.
Algebra, they insist, can mean the difference between menial work and high-level careers. High school students can't get into most four-year colleges without it. And the U.S. Department of Education says success in algebra II and other higher-level math is strongly associated with college completion.
Apprenticeship programs for electricians, plumbers and refrigerator technicians require algebra, which is useful in calculating needed amounts of piping and electrical wiring.
"If you want to work in the real world, if you want to wire buildings and plumb buildings, that's when it requires algebra," said Don Davis, executive director of the Electrical Training Institute, which runs apprenticeship programs for union electricians in Los Angeles.
Algebra, with its idiom of equations and variables, is more abstract than the math that comes before it. It uses symbols, usually letters, to represent numbers and sets of symbols to express mathematical relationships.
Educators say algebra offers a practical benefit: Analytical skills and formulas enable people to make sense of the world. Algebra can help a worker calculate income taxes, a baseball fan determine a pitcher's earned-run average and a driver determine a car's gas mileage.
"It's the language of generalization. It's a very powerful problem-solving tool," said Zalman Usiskin, director of the University of Chicago School Mathematics Project.
Rationale for Algebra
Although experts widely agree that algebra sharpens young minds, some object to making it a graduation requirement.
"If you want to believe you're for standards, you're going to make kids take algebra. It has that ring of authenticity," said Robert Balfanz, an associate research scientist with the Center for Social Organization of Schools at Johns Hopkins University in Baltimore. "But you're not really thinking through the implications. There may be no good reason why algebra is essential for all high school students."
Compulsory algebra is a relatively new idea in the faddish realm of education reform.
Until recently, high schools offered a range of programs. Students seen as academically able were placed in college-prep classes. Others were funneled into vocational courses in which they learned such skills as auto mechanics and office technology.
It was an imperfect system in which some bright students, particularly minorities, could find themselves trapped in classes that steered them away from higher education.
Then, about a decade ago, the pendulum began to swing as the state decided to raise academic standards for high school graduation.
The concept of algebra for all also was meant to elevate the level of U.S. high school students, whose math performance has long trailed that of peers in other industrialized countries where algebra is introduced at earlier grade levels.
Eager to close this competitive chasm, education and business leaders in California sought to re-engineer the state's approach to math. They produced new math standards they believed would foster a "rising tide of excellence."
This meant teaching algebra earlier, as soon as eighth grade for some students, even if instructors questioned whether younger students could handle abstract concepts.
"We didn't regard any of this as extreme," Stanford University mathematician James Milgram said recently, defending the 1997 math standards he helped write. "We need competent people in this country. We're on our way to [becoming] a second-rate economic power."
Legislators joined the charge in 1999, creating a high school exit exam with algebra questions, which takes effect this spring. They then enacted the law requiring algebra for graduation, starting with the Class of 2004, to prepare students for the exam.
To its staunchest advocate in the Legislature, algebra stood for higher expectations and new opportunities.
"We have a problem with a high dropout rate. You don't address it by making it easier to get through and have the meaning of the diploma diluted," said state Sen. Chuck Poochigian (R-Fresno), who wrote the algebra graduation law. "It should be a call to action … not to lower standards but to find ways to inspire. Our future depends on it."
'I Give Up'
Whether requiring all students to pass algebra is a good idea or not, two things are clear: Schools have not been equipped to teach it, and students have not been equipped to learn it.
Secondary schools have had to rapidly expand algebra classes despite a shortage of credentialed math teachers.
The Center for the Future of Teaching & Learning in Santa Cruz found that more than 40% of eighth-grade algebra teachers in California lack a math credential or are teaching outside their field of expertise; more than 20% of high school math teachers are similarly unprepared.
Recruitment programs and summer math institutes for teachers have been scaled back or eliminated because of budget cuts.
"It's a real collision of circumstance, and students are now having … to bear the brunt of public policy gone awry," said Margaret Gaston, executive director of the Santa Cruz research center.
High school math instructors, meanwhile, face crowded classes of 40 or more students — some of whom do not know their multiplication tables or how to add fractions or convert percentages into decimals.
Birmingham teacher Steve Kofahl said many students don't understand that X can be an abstract variable in an equation and not just a letter of the alphabet.
Birmingham math coach Kathy De Soto said she was surprised to find something else: students who still count on their fingers.
High school teachers blame middle schools for churning out ill-prepared students. The middle schools blame the elementary schools, where teachers are expected to have a command of all subjects but sometimes are shaky in math themselves.
At Cal State Northridge, the largest supplier of new teachers to Los Angeles Unified, 35% of future elementary school instructors earned Ds or Fs in their first college-level math class last year.
Some of these students had already taken remedial classes that reviewed high school algebra and geometry.
"I give up. I'm not good at math," said sophomore Alexa Ganz, 19, who received a D in math last semester even after taking two remedial courses. "I think I've been more confused this semester than helped."
Ganz, who wants to teach third grade, thinks the required math courses are overkill. "I guarantee I won't need to know all this," she said, perhaps not realizing that if she were to teach in a public school, she could be bumped as a newcomer to upper grade levels that demand greater math knowledge.
Administrators in L.A. Unified say they are trying to reverse the alarming failure rates of high school students by changing the way math is taught, starting in elementary schools.
The new approach stresses conceptual lessons rather than rote memorization, a change that some instructors think is wrong. New math coaches also are training teachers and coordinating lesson plans at many schools.
The simplest algebraic concepts are now taught — or are supposed to be taught — beginning in kindergarten.
These changes appear to be paying off, at least in elementary grades. L.A. Unified's elementary-level math scores have risen sharply over the last five years, although middle schools and high schools have yet to show significant progress.
Searching for a solution in its secondary schools, L.A. Unified is investing millions of dollars in new computer programs that teach pre-algebra, algebra and other skills.
Officials are considering other costly changes, including reducing the size of algebra classes to 25, launching algebra readiness classes for lagging eighth-graders and creating summer programs for students needing a kick-start before middle school or high school.
Some schools have taken matters into their own hands.
Cleveland High, four miles from Birmingham, places ninth- and 10th-graders who get a D or F in algebra into semester-long classes that focus on sixth- and seventh-grade material and pre-algebra. Students then return to standard algebra classes.
Eighteen percent of Cleveland's 10th-graders were proficient in algebra on state tests last spring, compared with 8% at Birmingham and 3% districtwide.
But Cleveland's strategy comes with risk. The state can lower the academic rankings of schools that remove ninth graders from first-year algebra. Consistently low rankings can invite district audits and penalties, including removal of teachers and administrators.
Birmingham High, wary of these consequences, is attacking the algebra crisis the way many other schools do: providing students with extra help after school and on weekends. The school launched a round of Saturday classes last fall for 600 students who were failing beginning algebra. Only 100 showed up, even though administrators called each student's home.
The Saturday sessions start anew in February with a twist: separate algebra classes for parents who want to help their children.
But even as it tries to solve its algebra puzzle, Birmingham — along with the district's 50 other traditional high schools — will soon face the even more rigid graduation requirements passed by the school board.
The chairman of Birmingham's math department, Rick Prizant, said he believes the college-prep agenda is a noble but misguided policy dictated by district officials out of touch with the realities of the classroom. Where others see opportunity, he sees catastrophe.
"They're being very unrealistic in what they are asking…. We're spinning our wheels here," said Prizant, who doubles as the school's athletic director. "I think you're going to see more dropouts. It's frightening to me."
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Times staff writer Mitchell Landsberg contributed to this report.
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(BEGIN TEXT OF INFOBOX)
Go figure
Most Los Angeles ninth-graders find algebra difficult. A sample question from the algebra standards test:
A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?
A) 20 feet
B) 40 feet
C) 60 feet
D) 80 feet
*
Correct answer: C
More algebra problems inside
Source: California Department of Education
-
Algebra test
A majority of ninth-graders in Los Angeles fail algebra or pass with a D grade.
Algebra grades of LAUSD freshmen in fall 2004:
C and above 39%
D 17%
F 44%
*
Sources: Los Angeles Unified School District, California Department of Education
*
About This Series
Students drastically limit their prospects by dropping out of high school. To understand why so many do, Times journalists spent eight months studying Birmingham High School in Van Nuys. This series began Sunday. The remaining parts:
Friday: Fast friends — 11 started; three finished.
Saturday: The dropout industry.
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On the Web
An interactive algebra quiz, a photo gallery, a discussion forum and other multimedia features, as well as Sunday's article, are available at latimes.com/dropouts.
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On TV
"Class of 2005," a segment of the news magazine "California Connected" produced in partnership with The Times, will air at 8:30 p.m. Friday on KCET in Los Angeles and at varying times that night on other PBS stations. For a complete broadcast schedule, go to www.californiaconnected.org.
Mathphobe Richard Cohen advises a girl who's flunked algebra six times that the subject is useless in later life since "most of math can now be done by a computer or a calculator," while "no computer can write a column or even a thank-you note -- or reason even a little bit."
Gabriela, sooner or later someone's going to tell you that algebra teaches reasoning. This is a lie propagated by, among others, algebra teachers. Writing is the highest form of reasoning. This is a fact. Algebra is not. The proof of this, Gabriela, is all the people in my high school who were whizzes at math but did not know a thing about history and could not write a readable English sentence. I can cite Shelly, whose last name will not be mentioned, who aced algebra but when called to the board in geography class, located the Sahara Desert right where the Gobi usually is. She was off by a whole continent.
if that's the kind of reasoning taught by writing, I'll take algebra.
The first Toolbox provided the most powerful argument by far for getting more high school students into challenging courses, my favorite reporting topic. Using data from a study of 8,700 young Americans, it showed that students whose high schools had given them an intense academic experience -- such as a heavy load of English courses or advanced math or Advanced Placement -- were more likely to graduate from college. It has been frequently cited by high school principals, college admissions directors and anyone else who cared about giving more choices in life to more students, particularly those from low-income and minority families.
The new Toolbox is 193 pages [pdf] of dense statistics, obscure footnotes and a number of insightful and surprising assessments of the intricacies of getting a college degree in America. It confirms the lessons of the old Toolbox using a study of 8,900 students who were in 12th grade in 1992, 10 years after the first group. But it goes much further, prying open the American higher education system and revealing the choices that are most likely to get the least promising students a bachelor's degree.
Toward the end of the report, Adelman offers seven tips. I call them the "College Completion Cliff Notes." They are vintage Adelman, very un-government-report-like, so I will finish by just quoting them in full:
"1. Just because you say you will continue your education after high school and earn a college credential doesn't make it happen. Wishing doesn't do it; preparation does! So . . .
"2. Take the challenging course work in high school, and don't let anyone scare you away from it. Funny thing about it, but you learn what you study, so if you take up these challenges, your test scores will inevitably be better (if you are worried about that). If you cannot find the challenge in the school's offerings, point out where it is available on-line, and see if you can get it that way. There are very respectable Web sites offering full courses in precalculus, introductory physics, humanities, music theory, and computer programming, for example.
"3. Read like crazy! Expand your language space! Language is power! You will have a lot less trouble in understanding math problems, biology textbooks, or historical documents you locate on the Web. Chances are you won't be wasting precious credit hours on remedial courses in higher education.
"4. If you don't see it now, you will see it in higher education: The world has gone quantitative: business (obviously), geography, criminal justice, history, allied health fields -- a full range of disciplines and job tasks tells you why math requirements are not just some abstract school exercise. So come out of high school with more than Algebra 2, making sure to include math in your senior year course work, and when you enter higher education, put at least one college-level math course under your belt in the first year -- no matter what your eventual major.
"5. When you start to think seriously about postsecondary options, log on to college and community college Web sites and look not so much for what they tell you of how wonderful life is at Old Siwash, but what they show you of the kinds of assignments and examination questions given in major gateway courses you will probably take. If you do not see these indications of what to expect, push! Ask the schools for it! These assignments and questions are better than SAT or ACT preparation manuals in terms of what you need to complete degrees.
"6. See if your nearest community college has a dual-enrollment agreement with your school system, allowing you to take significant general education or introductory occupational courses for credit while you are still in high school. Use a summer term or part of your senior year to take advantage, and aim to enter higher education with at least six credits earned this way -- preferably more.
"7. You are ultimately responsible for success in education. You are the principal actor. The power is yours. Seize the day -- or lose it!"
Would you rather have $1,000 for sure or a 90 percent chance of $5,000? A guaranteed $1,000 or a 75 percent chance of $4,000?
In economic theory, questions like these have no right or wrong answers. Even if a gamble is mathematically more valuable -- a 75 percent chance of $4,000 has an expected value of $3,000, for instance -- someone may still prefer a sure thing.
People have different tastes for risk, just as they have different tastes for ice cream or paint colors. The same is true for waiting: Would you rather have $400 now or $100 every year for 10 years? How about $3,400 this month or $3,800 next month? Different people will answer differently.
. . . professional mathematicians, scientists and engineers, want the schools -- the pipeline that keeps those professions supplied with new personnel -- to ensure student mastery of numerical, algebraic and computational skills. "We don't want to spend our time having to reteach the incoming students how to add fractions!" is a common refrain heard in university science and engineering departments.
Basic skills are not all they want, but they don't want them left out or de-emphasized.
Ranged against them (again, broadly speaking) is the mathematics education community, which argues that a focus on procedural skills is misplaced, and that the primary aim of school mathematics education should be to produce conceptual understanding. "If students understand the concepts, they can pick up any skills they need easily enough, as and when they need them."
As a professional mathematician, I often have to learn a new part of my subject. Every time I have to go through the same process: Start by learning the rules, then practice using the rules, and keep practicing until understanding develops. Practically every professional mathematician, scientist, or engineer I have spoken to has said more or less the same. Understanding follows experience.
There's been no shortage of discusion regarding math curriculum. Rafael Gomez's latest event, this Wednesday's Math Forum should prove quite interesting. The event will be at the Doyle Administration Building (McDaniels Auditorium) [Map] from 7:00 to 8:00p.m. Participants include:
The problems with CMP go far beyond failing to reach parents. One big problem is that the edifice of mathematics is so huge. Think of how long it took mathematicians to discover all of it. When one tries to use the discovery paradigm as the sole model for math lessons, all of the time available is spent in discovery process of basic concepts. There isn't time for more than a cursory look at any topic. There isn't any work on hard problems related to basic concepts. There isn't time to master computational aspects of basic concepts. Everyone learns 1/2 + 1/4, but no one learns how to find the least common denominator of 1/14 and 1/35. The people who promote a constructivist approach to math set up a false dichotomy between traditional math which teaches one to memorize formulas and tables of computations, and discovery math which teaches one to really understand how math works. I actually had a TAG resource teacher say this to me very patronizingly. "We don't teach math anymore the way that YOU learned it. Now children really understand math when they learn it." Excuse me, but traditional math was never like that. Tradtional math presents concepts AND teaches understanding of concepts. One learns formulas AND why they work. One also does large numbers of progressively more difficult computations to become skilled at them. The problem with traditional math is that large numbers of students don't understand the concepts as presented and try to get by with memorizing and manipulating formulas which they don't understand. They also don't master the computational aspects and try to make up for this deficit by using calculators inappropriately.
When I was TAing calculus in grad school, a typical scenario would be the student who never understood the algebra lesson about what a logarithm is and tried to memorize the associated list of formulas to get by. Now here we are in logs again. The student doesn't understand the algebra of logs, misplacing minus signs willy-nilly, so is destined to fail at calculus. In addition he doesn't really have a good handle on the multiplication tables, so every example has to be presented sooo slowly for him to follow. Why does this happen? Well it may be that some kids don't have enough mathematical talent/interest to master the material, but I don't believe it. In countries like Singapore and my husband's native country of Finland, everyone learns this math and learns it pretty well. I don't believe the gene pool is so radically different there. I think it has to do with expectations and foundations. If you live in a culture where everyone knows math and expects everyone else to know it, people will learn it. Math is built like a brick wall, bottom up. You have to learn the foundations properly and well to get along well further on. At each step, mastery requires doing lots of problems until they are like second nature. Learning some fuzzy understanding of the basic concept doesn't cut it here. You have to do lots of problems. You have to work hard. You can't do trigonometry if basic calculation is slow and difficult. It's no different than athletic training. You don't go out and run a marathon without practice and sweat. The problem needs to be fixed at the elementary level and also in our society with its dysfunctional attitude toward math. I think the people who promote curricula like CMP see this as a way to reach the kids with low math skills. These kids can at least get some kind of tenuous connection to math this way. But it is absolutely hopeless as a preparation for rigorous college-prep math. Of course the way to cure that is, guess what, put discovery math into the college-prep courses since with CMP as a background the kids will never be able to master real math. At West the Algebra text has been replaced with Discovery Algebra, and soon, I believe, Geometry will follow. Check it out at www.keypress.com. Maybe I'm wrong. Maybe this math is the way to go for the non-mathematical kids. But then they should have an alternative curriculum for kids who really like math and expect to need it in their careers. This CMP stuff(along with Everyday Math) just makes kids who like math scream in agony. It's torture. If you have a kid who's managing fine in CMP, it's likely the teacher is heavily supplementing with outside resources. But of course they can't let the brightest kids go. It would be (gasp!) tracking, and in any case the lesson structure requires that the bright kids be there to facilitate success in the group and help others along. I recommend you save your $30,000. Do not invest more money in this curriculum. It's just throwing good money after bad.
I know that the people who create and implement these curricula have good intentions. They want the kids to learn. I know they don't intend to pull the schools down. There's some kind of mass delusion that has infected the education researchers, and we have to deal with the consequences.
Full disclosure. We are a family of math nerds. My husband is a math prof at UW and I have a master's degree in math. I run a math olympiad group at my children's elementary school and assist in the classroom whenever the teachers can use my assistance. We do Singapore Math at home to fill in the gaps in school instruction and do math for fun at the dinner table. I just made the painful decision to move my soon-to-be-middle-schooler daughter to private school next year, in part (but only a small part) to avoid CMP.
Science and math have zoomed to the top of the nation's education agenda. Yet Amanda Cook, a parent of two school-age girls, can't quite see the urgency.
"In Maine, there aren't many jobs that scream out 'math and science,'" said Cook, who lives in Etna, in the central part of the state. Yes, both topics are important, but "most parents are saying you're better off going to school for something there's a big need for."
Nationwide, a new poll shows, many parents are content with the science and math education their children get - a starkly different view than that held by national leaders.
Dissatisfaction with math curriculum in Alpine School District might seem like a local issue. It isn't.
Alpine's math wars made the area ground zero for the explosion of charter, home and private schools in Utah, and the discord continues to drive legislation regarding school choice.
Eagle Mountain resident Doug Cannon, father of seven, became concerned about Alpine's math curriculum soon after the district adopted the "Investigations" math program in its elementary schools in 2001.
The textbook series is meant to improve students' understanding of math through discovery of math concepts. As originally implemented, it downplayed rote learning and memorization of traditional algorithms such as times tables.
What struck me was that the reasons why Johnny can't do algebra in L.A. today are remarkably similar to why Johnny Patrello couldn't do algebra almost four decades ago in Yonkers, N.Y.
Johnny and I were brought together by Mrs. Elizabeth Bukanz, the algebra teacher. Mrs. Bukanz wore her sandy hair in a frizzy French twist and her glasses on a chain. But she was gentle and smiling, and she had passion — at least for what she called "the beauty of algebra." I, too, loved its perfect logic and tidy solutions, so unlike my messy teenage life.
But Johnny was deaf to algebra's siren song. He was flunking, and Mrs. Bukanz hoped that if I used my study halls to tutor him, he might score at least 65% on the New York State Regents exam. Passing the exam allowed even failing students to move on to high school, which started in 10th grade; otherwise, Johnny would be left behind.
As the Los Angeles Times' Monday installment of "The Vanishing Class" series described, 35% of future elementary school instructors who studied at Cal State Northridge, the largest supplier of new teachers to the Los Angeles Unified School District, got Ds or Fs in their first college-level math class last year.
Los Angeles schools Supt. Roy Romer has cited the "cumulative failure of our ability to teach math adequately in the public school system."
William Schmidt, a professor at Michigan State University and executive director of its Third International Math and Science Study Research Center, was asked by The Times whether other countries have as much trouble finding adequately trained math teachers as the United States.
Some Washington area high school students are pushing so far ahead in math courses that Advanced Placement, the widely accepted pinnacle of pre-collegiate study, no longer goes far enough.
More than 500 students in the Montgomery and Fairfax school systems, the region's two largest, are taking multivariable calculus, a course traditionally taken by math majors in their second year of college -- at least in the old days. That means the students have a full year of college-level calculus under their belt before they leave high school.
Reader Reed Schneider on Curriculum and School Boards
Reed Schneider emails on recentposts regarding a School Board's role in curriculum policy:
I agree that the school board should be responsible for the district's curriculum. In fact, it is the most important thing they are charged with. 10 or more years ago, before widespread internet availability, the non-edu-estab person on a board would have the excuse that it would be impossible for them to know which curricula works. All decisions would be deferred to the so-called experts. That excuse doesn't work any more. Any board member can now go to www.nrrf.org and discover opinion and independent research showing programs like Reading Recovery and balanced Literacy have serious flaws. They can go to www.mathematicallycorrect.com and discover that math programs recommended by the NCTM like Everyday Math fail our children.
Even if the board becomes involved, it will take board members willing to do this. Just because they become involved with curriculum will not automatically mean they will critically evaluate administrators recommendations. Far too often they simply rubber stamp what the curriculum specialist puts in front of them.
The parents and tax payers are the only ones with the power to change this. A good question at a board candidate's forum would be: "What is your opinion of reading or math programs based on constructivist theory?" If they don't understand the question, can't answer, hem and haw, or embrace it, don't vote for them. It's really that simple.
Hamilton Middle School [Map] is hosting a Math Night, Wednesday, February 8, 2006 at 7:00p.m., evidently designed for parents of children attending that school this fall.
Rafael Gomez is organizing a Forum on Middle School Math Curriculum Wednesday evening, February 22, 2006 at the Doyle Administration Building (McDaniels Auditorium) [Map] from 7:00 to 8:00p.m. Participants include:
Gabriele Meyer (MMSD Parent and a UW Math Department Lecturer)
Expanding on its efforts to increase the reading skills of elementary school students, the Schools of Hope project led by the United Way of Dane County also is focusing on helping middle school students develop the math skills needed to be successful in high school, college, employment and daily life.
Since the Madison School Board adopted the goal that all students would complete algebra by the end of ninth grade and geometry by the end of 10th grade, the option of taking less rigorous classes, such as general or consumer math, has disappeared.
All high school students are now required to take algebra and geometry - or two credits of integrated mathematics, combining algebra, statistics and probability, geometry and trigonometry - in order to graduate.
"These are really gate-keeping courses and skills," said Mary Ramberg, the district's director of teaching and learning. She added that without them, students "will have a lot of options closed."
Rafael Gomez is organizing a Forum on Math Curriculum Wednesday evening, February 22, 2006 at McDaniels Auditorium. Look for more information soon.
Neal Goldman is a math entrepreneur. He works on Wall Street, where numbers rule. But he's focusing his analytic tools on a different realm altogether: the world of words.
Goldman's startup, Inform Technologies LLC, is a robotic librarian. Every day it combs through thousands of press articles and blog posts in English. It reads them and groups them with related pieces. Inform doesn't do this work alphabetically or by keywords. It uses algorithms to analyze each article by its language and context. It then sends customized news feeds to its users, who also exist in Inform's system as -- you guessed it -- math.
At least 2,500 ninth-graders in Prince George's County will abruptly move this week from a standard one-year algebra course into a two-year program, shielding the struggling students from a state graduation test this spring that officials said they were likely to fail.
The highly unusual shift comes midway through the school year in one of Washington's largest suburban school systems and in some respects runs counter to a regional trend of pushing students to take higher-level mathematics as early as possible.
This small event says a lot about global competition. Traveling around Asia for most of the past month, I have been struck by the relentless focus on education. It makes sense. Many of these countries have no natural resources, other than their people; making them smarter is the only path for development. China, as always, appears to be moving fastest.
But one thing puzzles me about these oft-made comparisons. I talked to Tharman Shanmugaratnam to understand it better. He's the minister of Education of Singapore, the country that is No. 1 in the global science and math rankings for schoolchildren. I asked the minister how to explain the fact that even though Singapore's students do so brilliantly on these tests, when you look at these same students 10 or 20 years later, few of them are worldbeaters anymore. Singapore has few truly top-ranked scientists, entrepreneurs, inventors, business executives or academics.
Beautiful Minds: An Innovative Math Program Helps Change the Face of Gifted and Talented Education
By John O'Neil (from NEA Today, January, 2006)
"Friendly fractions" are the day's topic, but Alison Foley's 20 fourth-graders can't dig into that concept until they've tallied and graphed their favorite desserts. Votes for ice cream, brownies, cake, and cookies—even a lone vote for cannoli—go up on the board.
"What about ice cream cake?" one student asks. "If we were doing a Venn diagram, we could put that in the intersection," Courtney offers. Soon, desks and chairs are pulled aside and Foley's kids use yarn and their bodies to make a human pie chart illustrating their data, then go on to calculate what fractions result when you add various categories together.
Foley's math curriculum—which presents concepts several years above grade level—isn't the only thing unusual about her classroom at Smith School in West Hartford, Connecticut. Smith is one of 10 schools in Connecticut and Kentucky piloting an innovative project, Mentoring Mathematical Minds (Project M3), aimed at identifying children in grades 3–5 capable of handling advanced mathematics. Developed at the University of Connecticut, the program is designed to expand the population of students typically served by gifted and talented programs. Sure enough, look around Foley's classroom—which draws students from Section 8 housing as well as million-dollar homes—and you'll see students as diverse as their favorite desserts, with Black students elbow to elbow with Hispanic, Asian-American, and White pupils.
National figures on gifted education programs suggest such diversity is unusual. Data collected by the Education Department's Office of Civil Rights show that White and Asian students are typically overrepresented among programs for the gifted, while other minorities tend to be underrepresented.
The University of Connecticut project is part of a movement to broaden the scope of gifted and talented programs, which in some communities are fighting for survival. Some advocates for gifted programs say the federal so-called No Child Left Behind law (NCLB), which mandates that schools raise all students' performance to minimally acceptable standards, has school officials focused on average or underachieving learners.
"Teachers who used to teach AP are now teaching remedial reading instead," notes Jane Clarenbach, director of public education and affiliate relations for the National Association for Gifted Children. More bad news: President Bush has proposed eliminating federal Jacob Javits grants, which support research on gifted education (including programs like Project M3).
While research consistently shows the advantages of offering gifted students content tailored to their needs, many buy into the notion that it's not necessary—they say gifted kids will do just fine, even without special curricula. Indeed, with NCLB pressures mounting and district budgets tight, some see gifted programs as offering extra resources to kids who already have all the advantages.
But Clarenbach and others argue that forcing gifted students to march in lockstep with their peers holds them back. Nine-year-old Courtney would probably agree. She spent part of last year in Smith School's regular third-grade math class, and part of the year receiving Project M3's enriched curriculum. Looking back at her grade-level math work, Courtney recalls, "I'd just zip through it in five minutes and have to wait half an hour for everyone to finish. It gave me headaches when I had to do the same things over and over again, honestly."
Clarenbach points out that the issue can be further complicated because the gifted population itself is diverse. For example, some gifted students excel in a single content area but are weak in others; some even have learning disabilities. Still, that doesn't mean areas of strength should be ignored. Project M3 Director Kathy Gavin, who works at the Neag Center for Gifted Education and Talent Development at the University of Connecticut, cites the example of one student who was almost held back in second grade because of reading difficulties, but who it was thought could benefit from the M3 program. The student was placed in it and "has excelled," she says.
Broadening the Pool
Without a special math program like Project M3, the talents of children like Courtney, a vivacious African-American who has already mapped out her life's goals, might go unchallenged. Kathy Gavin says she's met an urban principal who told her flat-out, "I don't have any gifted kids in my school." But Project M3 helps find them. Kids are selected based on multiple criteria, including a special assessment of nonverbal math ability, which measures such things as spatial sense and reasoning, and standardized tests when available. Teacher recommendations and prior grades also factor in. Opening up the selection process (gifted programs in the past often selected students based on IQ scores alone) has allowed students with less obvious talents to benefit, says Gavin. Once they're in, kids take four units of about six weeks each, with content pitched several years beyond grade-level standard: the fourth-graders in Foley's class, for example, studied a unit on algebra in which they solved for variables. The lessons focus on conceptual understanding, with lots of time for reflection and discussion.
Early results show that the program has promise. Students taking the M3 curriculum at the 10 schools where the program is being piloted have posted "significant gains" on standardized math tests compared with control groups, with lower-income students recording the highest gains, says Gavin. Alison Foley's fourth-graders were among those who showed gains, and, to her relief, her kids also swept through their district-level tests. She had worried about the results, because the M3 curriculum was such a departure from the standard (and tested) math curriculum in the district.
Foley sees other benefits too—especially for girls who traditionally have been underrepresented in advanced math programs. In regular math classes, boys tend to be more assertive, blurting out answers, while girls hang back. In the M3 classrooms, students often work in pairs and discuss solutions, Foley says, and that helps girls rehearse their answers and support their thinking.
Students like Mariam are benefiting. When the class began, says Foley, "Mariam was overshadowed by the other kids, especially the boys." But as the year went on her confidence grew. In a recent algebra unit, she argued her point against the entire class—and she was right, says Foley. "That was a huge step for her, and now she has become, in a subtle way, a leader."
Courtney, who pronounces Project M3 "just awesome," appreciates being in a class with kids who share her passion for numbers. "The difference between this class and the others is that the kids in the other math classes do it for the rewards, because they're going to get gum or chocolate or something," she says. "And when they come out of math, they look so unhappy! But when we come out of math, we have smiles on our faces because we love it."
Scouting For Talent
Look around your classroom. Could bored Brittany, loquacious Lakisha, or rambunctious Robert benefit from gifted education services? Here's how to find out:
* Know the signs. Gifted students often demonstrate advanced performance in one or more disciplines and abstract or complex thinking. They may also have an increased ability to make connections and see relationships. Varying your assignments can bring out the best in some students: For example, try letting kids show what they know through skits, poems, or dioramas.
* Pre-test. Find out what students know before you teach a new topic. Both formal assessments (quizzes or interest inventories) and informal (observations or class discussion) can help you identify students who require enrichment activities or an accelerated pace.
* Watch for clues. Sometimes actions speak louder than words. A kid who seems bored or disinterested (even acting up) may, in fact, need more challenging work. Talk with the child, a parent, or his or her former teacher to track the behavior pattern and address the issue.
* Allow for differences. All students have academic strengths and weaknesses. A gifted student who excels in science may struggle in writing. Try to make sure students are working at the appropriate level of challenge in each subject area to ensure their growth.
Interesting interview with Burt Rutan on his approach to space travel (low cost, efficient) vs. the traditional NASA approach (very expensive).
I found it interesting to listen to Rutan's young engineer's discuss the challenges and opportunities in their work. Two related articles worth reading:
The Education process is clearly at a tipping point in terms of conventional vs. new approaches. A teacher friend recently strongly suggested that we need to start from scratch (would that be a 0 based budget?).
One place where such heroic work is taking place is the Watts Learning Center (WLC) charter school, one of the most improved charter schools in California.
From 2000 to 2005, the WLC rose from a low test-score ranking to a level near the state’s proficiency target score of 800. The K-5 charter school was able to defy low expectations and accomplish this feat with a student population nearly all African American and low income. In an example of what the President called “the soft bigotry of low expectations,” these two factors are too often considered indicators of educational failure. WLC charter school proved defied that expectation.
Gene Fisher, founder and president of WLC, says that the school’s mission is to create a culture of learning and high expectations for students, parents, faculty and staff. He points out that, "The job of our teachers includes an emphasis on a proven curriculum while also reinforcing these high expectations – a belief that students can and will succeed."
The school uses the structured phonics-based Open Court reading program. WLC chose Open Court before the Los Angeles Unified School District adopted the same program. Open Court emphasizes continuous review and practice of already learned material. Sandra Fisher, the school’s executive director, says that it is important that the curriculum be structured because so many students lack structure in their lives.
Why is the MMSD Afraid to Have a General Discussion of Their Mathematics Program?
A year ago the Jefferson PTO planned to have a mathematics night, with a discussion of their math program. I was asked if I would appear and said yes. The Madison Metropolitan School District was asked and they refused to send anyone, saying that they did not want to do this school by school. but district wide. When Mary Ramberg was asked when this would be done, she said they had no plans to do this.
Here is part of the report from 1882 from the State Superintendent about textbooks. At this time changes in textbooks had to be approved by the State Superintendent. The following should be done:
3d. That regard shall be had to the merits of the books, and that if the change is sought to be made in the interests of better books, the superior merits of the books proposed to be introduced shall be stated.
4th. That the change shall not be against the pronounced public opinion of the locality interested.
Why is the MMSD afraid to have a general discussion of their mathematics program?
Giving Credit Where Credit Is Due: A Look at the Educational Histories of the 29 West HS National Merit Semi-Finalists
Earlier this semester, 60 MMSD students -- including 29 from West HS -- were named 2006 National Merit Semifinalists. In a 10/12/05 press release, MMSD Superintendent Art Rainwater said, "I am proud of the many staff members who taught and guided these students all the way from elementary school, and of this district's overall guidance and focus that has led to these successes."
A closer examination of the facts, however, reveals that only 12 (41%) of West High School's 29 National Merit Semifinalists attended the Madison public schools continuously from first grade on (meaning that 59% received some portion of their K-8 schooling in either private schools or non-MMSD public schools). Here's the raw data:
NMSF #28: Montessori pre-K through 2nd; Shorewood 4th-5th; Eagle 5th-8th
NMSF #29: Shorewood K-5th; Hamilton
Looking at the sample in a little more detail, we find the following:
Elementary school (K-5) history: 31% attended private school for three or more years (an additional 21% attended non-MMSD public schools for three or more years -- total: 52%).
Middle school (6-8) history: 28% attended private school for two or more years (an additional 14% attended non-MMSD public schools for two or more years -- total: 42%).
K-8 schooling history: 28% attended private school for five or more of their K-8 school years (an additional 17% attended non-MMSD public schools for five or more of their K-8 school years -- total: 45%)
Although we do not have K-8 attendance data for the entire class, it seems unlikely to think that almost 30% of current West seniors attended private school for five or more of their pre-high school years. Thus on this single demographic variable, the 29 West National Merit Semifinalists are probably different from their classmates, generally.
Descriptive data like these are certainly interesting, though they often raise more questions than they answer. And of course, they don't prove anything. Nevertheless, with 45% of the West HS National Merit Semifinalist sample attending non-MMSD schools for over half of their K-8 years, it is recommended that the District temper its sense of pride in and ownership of these very accomplished students.
Many thanks to each of these fine young people for speaking with us on the telephone. Congratulations and good luck to each and every one of them!
EDUSAT, sent into space last year, is India’s first educational satellite. It will allow American instructors to lead classes in remote classrooms, thousands of miles away, via Web cast.
“Any Indian village could set up a receiving station and receive a signal, and schools would need only a computer and a simple Web camera to view the lessons,” Sanjay Limaye, senior scientist at the UW-Madison Space Science and Engineering Center, said in a release.
The targets of the satellite are rural Indian communities, which are plagued by a lack of educational infrastructure and a lack of good teachers.
Gov. Jim Doyle supports the push to increase the math and science proficiency of high school students, which is primarily coming from business leaders.
They say a lack of these skills among those entering the labor pool is putting Wisconsin at risk of losing jobs because there won't be enough qualified workers to fill positions ranging from manufacturing jobs to computer specialists, from engineers to mathematical, life and physical scientists and engineering and science technicians.
Art Rainwater, superintendent of the Madison School District, supports increasing the state requirements. Madison high schools require two years of each subject, but in recent years the district has strengthened its math requirement so that all students must now take algebra and geometry to graduate, Rainwater said.
If the state does not increase its math and science requirements, the district will likely consider raising them, he said.
But School Board President Carol Carstensen said she isn't certain requiring more courses is the way to best prepare all students to succeed after high school.
And just increasing the requirements (emphasis added) won't make the classes more rigorous, said Lake Mills chemistry teacher Julie Cunningham, who recently won the prestigious Milken Family Foundation National Educator Award.
Additional links and background on math and science curriculum.
U.S. students consistently performed below average, ranking 8th or 9th out of twelve at all three grade levels. These findings suggest that U.S. reform proposals to strengthen mathematics instruction in the upper grades should be expanded to include improving U.S. mathematics instruction beginning in the primary grades.
“The conventional wisdom is that U.S. students perform above average in grades 4 and 8, and then decline sharply in high school,” says Steven Leinwand, principal research analyst at AIR and one of the report’s authors. “But this study proves the conventional wisdom is dead wrong.”
Previous studies compared U.S. performance with substantially more countries, whose characteristics vary widely. A total of 24 countries participated in TIMSS-grade 4, 45 countries in TIMSS-grade 8, and 40 countries in PISA.
Study Indicates Changes in Global Standing for U.S.
The nation’s 4th graders may not stack up quite so well against their peers around the globe as previously thought, but also may not post as big a drop-off in achievement when they get to high school, a new analysis of international-test comparisons concludes.
The study, conducted by the Washington-based American Institutes for Research and sponsored by the U.S. Department of Education and the Urban Institute, looked at two international-assessment comparisons, covering grades 4 and 8 and 15-year-olds. It found that, when compared only with those countries that participate in both studies for all three student groups, the United States ranked in the middle or bottom of each.
By Kathleen Kennedy Manzo
From Education Week, November 22, 2005
“There has been a broad perception that the United States does reasonably well in 4th grade mathematics internationally, about average in 8th grade, and then [its performance] falls off a cliff in high school. But that is based upon a comparison of apples and oranges,” said Steve Leinwand, the AIR’s lead author of the report.
For More Info
The report, “Reassessing U.S. International Mathematics Performance: New Findings from the 2003 TIMSS and PISA,” as well as an executive summary, is available from the American Institutes for Research. Requires Adobe Acrobat Reader
Until now, comparisons have been made among all the countries participating in each of the studies. The United States has scored above the international average on the Trends in International Mathematics and Science Study, or TIMSS, for 4th and 8th graders, but at the bottom among industrialized countries on the Program for International Student Assessment, or PISA, which tests math literacy and problem-solving.
Twenty-four countries participated in the 4th grade TIMSS, and 40 were involved in the 8th grade comparison. Those lists don’t necessarily match up closely with the nations involved in the PISA exam either, Mr. Leinwand said.
The new study compares the United States with 11 other developed countries that participated in all three student groups: Australia, Belgium, Hong Kong, Hungary, Italy, Japan, Latvia, the Netherlands, New Zealand, Norway, and the Russian Federation.
“What’s most important is that there is a fairly consistent pattern of mediocrity” among U.S. students, Mr. Leinwand said.
The latest ranking puts the United States eighth on the grade 4 comparison and ninth for both groups of older students. Students in seven other countries performed statistically better than American 4th graders, five outscored U.S. 8th graders, and six were better than this nation’s high school students.
Computational Skills Questioned
The AIR study also challenges the common notion that American students do well on basic computational skills. The nations in the study that did well on the easy questions also tended to do well on the more difficult ones. But the United States was below average in those areas as well.
The United States, for example, was below average on both low- and high-difficulty test items, and the performance of American students at all three grade levels was particularly weak on measurement questions and geometry skills. The students, however, showed strong abilities in data and statistics.
To improve the nation’s standing internationally, American schools need to focus more intently on building students’ foundational math skills in the early grades, the report recommends, and beef up instruction in geometry for middle school students. U.S. schools should also consider ways to narrow the lingering achievement gap between boys and girls, a trend evident in only one other country, Italy.
Although the new rankings suggest greater problems with U.S. math proficiency than had been reported previously, the performance of American students is still about average internationally, according to Gerald W. Bracey, an Alexandria, Va.-based researcher. Mr. Bracey also suggested that the substance of the PISA test—which includes broad questions gauging students’ analytical, quantitative, and analogical skills—may not yield adequate information about high school math achievement.
“What I object most to is the use of the word ‘mediocre.’ ‘Average’ is a statistic; ‘mediocre’ is a judgment,” said Mr. Bracey, who has challenged the notion that American students perform poorly on international comparisons. “When they run the final heat in the 100-meter dash in the Olympics, the guys who finish fourth or fifth are called average. Nobody is going to call them mediocre. How well you do depends on how stiff the competition is.”
African-American rates increased from 27.5 percent to 49.7 percent in the four years and from 29.8 percent to 50 percent for Hispanic students. Among white students algebra completion rates had improved from 68.9 percent to 82.6 percent, the report said.
In 10 years the number of African-American students has increased from 4,126 to 5,216, while the number of Hispanic students has increased from 957 to 2,845. White enrollment has gone from 17,937 to 13,712 in the decade. Asian enrollment has grown from 1,885 to 2,569.
The 94 percent enrollment goal was met at the elementary (95.1 percent) and (94.4 percent) middle school levels. But high school attendance dipped last year to 92.5 percent overall, including an 86.8 percent rate for pupils from low-income families, the report said. The best overall attendance for high schools was 93.6 percent in 2002-2003.
LAST spring, when he was only a sophomore, Jim Munch received a plaque honoring him as top scorer on the high school math team here. He went on to earn the highest mark possible, a 5, on an Advanced Placement exam in calculus. His ambition is to become a theoretical mathematician.
So Jim might have seemed the veritable symbol for the new math curriculum installed over the last seven years in this ambitious, educated suburb of Rochester. Since seventh grade, he had been taking the "constructivist" or "inquiry" program, so named because it emphasizes pupils' constructing their own knowledge through a process of reasoning.
Jim, however, placed the credit elsewhere. His parents, an engineer and an educator, covertly tutored him in traditional math. Several teachers, in the privacy of their own classrooms, contravened the official curriculum to teach the problem-solving formulas that constructivist math denigrates as mindless memorization.
"My whole experience in math the last few years has been a struggle against the program," Jim said recently. "Whatever I've achieved, I've achieved in spite of it. Kids do not do better learning math themselves. There's a reason we go to school, which is that there's someone smarter than us with something to teach us."
This sort of thing is happening in Madison as well. Much more here.
In Maryland, the current class of 9th graders will be the first to have to pass an algebra test to graduate from high school. That's putting pressure on some parents to brush up on their math skills so that they can help their children. Baltimore County's school system has recognized this potential problem and is now offering classes to bring parents up to speed on algebra.
The school system is offering its algebra awareness class for parents in a three-session format. Each session is two hours long.
The idea came from discussions of the new algebra requirement at Parent-Teacher Association meetings last year.
What's the price of leaving high school unprepared? Ask Chelsea Stephanoff, a Wayne State University student who is spending nearly $600 this semester for a class that won't count toward graduation.
Why? Her math skills were poor enough that even after four years of high school math, she was placed in a remedial class.
"Math is not my strong point at all. I'm horrible at it. I have a hard time focusing on it," said Stephanoff, a fourth-year student from Shelby Township who wants to be an elementary school teacher.
Last spring a longtime parent at West HS was asked to write a description -- content area by content area -- of the curriculum changes that have occurred at West HS in recent years that have affected the academic opportunities of West's "high end" students. Below you will find what she wrote. It includes changes that have actually occurred; changes that may and probably will occur; and important questions about what else may happen in the future.
This summary was then forwarded to two other longtime West parents for their comments. Excerpts from those comments may be found just after the original description. Next, the description of each content area was sent to the appropriate department head at West, for their comment with the goal being to produce a brief, descriptive document that everyone would agree was factually accurate, for educational and advocacy purposes. Unfortunately, none of the department heads responded.
Here is the original description:
1. English
a. A few students gifted in English used to be permitted to begin taking upper-level English courses beginning 2nd semester of 9th grade, based upon their English teacher's recommendation, outstanding performance during their 1st semester at West, and the availability of open slots in appropriate courses that fit the student's schedule. (Note: this option involves no monetary cost.)
b. The two sections of integrated 9th-grade English/Social Studies were eliminated as of the 2003-2004 academic year. The primary purpose of these experimental courses -- very similar in philosophy to the SLCs -- was to provide an opportunity for one English and one social studies teacher to pair together to partially integrate their curricula and get to know the same group of students, along with the students having the same set of classmates for both classes. "TAG" students were among the ones who self-selected into these courses, creating cluster grouping within mainstreamed classrooms.
c. 10th-grade English core curriculum will likely be introduced in 2006-2007. This change will prevent highly motivated and capable students from having the opportunity to take appropriately challenging courses in English until 11th grade (currently, students get to start choosing from among the English electives in 10th grade). Ultimately, the effect will be a reduction in the number and variety of upper-level English courses West is able to offer.
2. Social Studies
a. 9th-grade Integrated English/Social Studies course was eliminated (see above).
b. The British version of 10th-grade European History was eliminated as an option a couple of years ago when the teacher of this course officially retired. (Note: this teacher still teaches some sections of 10th-grade European History at West.) As with Integrated English/Social Studies, "TAG" students were among the ones who self-selected into this variant of 10th-grade social studies, creating high ability cluster grouping within a mainstreamed classroom.
c. West's Social Studies Department decided this year that underclassmen will no longer be permitted to take 12th-grade elective courses prior to 12th-grade, not even on a space-available basis that would involve no monetary cost. No other department has this restriction. Might they follow suit?
3. Science
a. 9th-grade Accelerated Biology is restricted to one section despite there being approximately four classrooms worth of students who desire each year to take on the extra challenge this class entails (i.e., over 100 students choose to take the optional test for admission into Accelerated Biology each year, some years, many more than that). Budget constraints will likely lead to the elimination of even this one section in the near future unless West is willing to assign all of the students in this class to the same SLC (or have one section per SLC).
b. Will the implementation of a 10th-grade Core include science as well? If so, will everyone take the same Chemistry course in 10th grade, eliminating the variety of science options currently available to 10th-grade students? (Note: at the March 2005 West PTSO meeting, West HS Science Department Chair Mike Lipp stated -- in response to a parent question -- that they would not eliminate the regular Chemistry class because the lack of math content/rigor in Chem Comm ("Chemistry in the Community") would leave West graduates unprepared for chemistry at the UW and other universities.)
4. Math
a. West used to have a course called "Precalculus." It covered Algebra 2/Trigonometry Accelerated and Algebra 3 Accelerated in one year. It was eliminated last year (2003-04). The math staff were needed, instead, for "Algebra I Extended." In addition, it was a controversial course, in that there was disagreement as to how many students could really handle and benefit from it. All of West's remaining "accelerated" math courses are really honors classes, that is, they are not accelerated in pace, as exists at many high schools of excellence in the US. (Important note: the "new" class that will be called "Precalculus" next year is simply Algebra 3 Accelerated with a new name, not the old Precalculus.)
b. With old Precalculus gone, will West now end up having too few students to justify continuing to offer Calculus II starting in 2006-2007? (Note: in order to take Calculus II in high school, a student must take geometry before 9th grade or take a year of math over a summer.) If so, West could end up the only MMSD high school not offering Calculus II.
c. In the future, will most students at West be mainstreamed into "Core Plus" starting in 9th grade? (Note: this would fit well with the plan to have an SLC-based core curriculum in 9th and 10th grade; that is, to have all students take Core Plus from the beginning would make possible a 9th and 10th grade core curriculum in math.) If so, will none of these students be able to take Calculus in high school?
Here are excerpts from the comments of Person #1:
The institutional history corresponds well with my experience and my children's experiences at West.
One other point that is not made is that it used to be easier to take an Independent Study course for credit if you were a high achieving student. ... Also, the school people will point to the option of going to UW as a way of providing for high end kids. [Although this works well for some], I think it is a bad option since the calendars [and daily schedules] do not in any way correspond with one another -- on a daily basis, the UW offers courses on a MW, TR, or MWF schedule, while West offers their courses on a MTWRF schedule. The transportation time and the differences in the class start times means that, essentially, taking a single course at UW makes a massive hole in a student's schedule.
Here are excerpts from the comments of Person #2:
As for science, 10th grade students either take Chemistry acclerated or Chem Com. In 11th grade, there are two physics offerings, Advanced Math Physics or General Physics. In 12th grade, the advanced topics courses in these two areas -- as well as in biology -- are fairly subjective, dependent on teacher interest. By contrast, Memorial students have AP Chem, Physics and Bio, as well as a 9th grade earth science class; additionally, the sequence is taught in the more accepted order, chem, physics and finally, biology. Many Memorial students graduate with 25-45 AP credits; very few West students take any other than calculus, foreign language and/or statistics--10-15 credits. This can make a huge difference in college, either for placement and/or early graduation with its attendant reduction in cost.
Fundamentally, the problem lies with the SLC program. Its primary purpose, despite the social rhetoric, is to homogenize the student body across all variables, including academics. Most of the features that made West a haven for TAG students are eliminated. Taking courses out of the normal sequence will be very difficult and the clustering of students, unless it happens de facto as the result of changes in the middle school curriculum, will disappear. It was this menu of options and flexibility that offset West's weak to non-existent AP program. I would also be very concerned whether a student will be able to participate in UW's Youth Options program; coordinating the university and high school schedules is difficult under the current arrangement with West's variety of courses and times. Youth Options has been a tremendous opportunity for gifted students to expand beyond the typical constraints of the high school curricula. (Note: the State now limits the number of college credits for which a District must pay to 18 per student. Also, the Youth Options Program may well face threat of extinction again in the near future.)
A Few Notes on the Superintendent's Evaluation & Curriculum
Severalwritershavementioned the positive news that the Madison Board of Education has reviewed Superintendent Art Rainwater for the first time since 2002. I agree that it is a step in the right direction.
In my view, the first responsibility of the Board and Administration, including the Superintendent is curriculum: Is the Madison School District using the most effective methods to prepare our children for the future?
There seems to be some question about this:
Language: The District has strongly embraced whole language (Troy Dassler notes in the comments that he has been trained in balanced literacy). I would certainly be interested in more comments on this (and other) point(s). [Ed Blume mentions that ""Balanced literacy" became the popular new term for whole language when whole language crumbled theoretically and scientifically."] UW Professor Mark Seidenberg provides background on whole language and raises many useful questions about it. Related: The District has invested heavily in Reading Recovery. Ed Blume summarized 8 years of District reading scores and notes that Madison 3rd graders rank below state wide average for children children in the advanced and proficient categories. (Madison spends about 30% more than the state average per student)
Math: The District embraces Connected Math. UW Math Professor Dick Askey has raised a number of questions about this curriculum, not the least of which is whether our textbooks include all of the corrections. A quick look at the size of the Connected Math textbooks demonstrates that reading skills are critical to student achievement.
"Same Service Budget Approach": I think the District's annual same service approach reflects a general stagnation.
Many organizations live on the fumes of their past. Is this the case with the Madison School District?
Superintendent Rainwater visited with the Capital Times on the day the Board released the report on the his evaluation. Matt Pommer briefly summarized the discussion and closes by mentioning that state budget controls prevent new programs from being developed. This statement reflects the "same service mantra". The District could certainly change expensive programs like Reading Recovery and invest in a different approach. The District could also strongly adopt virtual learning tools. Weyauwega-Fremont School Board President Steve Loehrke has spoken and written extensively on these questions. The District could also change the way in which it delivers information (there's a little movement on this).
I've not seen much, if any discussion of curriculum issues at the Board level, or the Performance and Achievement subcommittee, which has not met since 1/31/2005. I seem to remember (but can't find the quote) that Board President Carol Carstensen said at a District event, that "we leave the curriculum up to the staff". I could not disagree more with this approach.
I think it's time for a serious Board curriculum discussion. Madison is fortunate to have some fabulous resources just down the street at a world class University. Let's work with them, before they move on.
A few observations from a layperson who couldn't be farther from a math expert's perspective on this (in other words, I'm not a math expert):
Children must be able to read effectively to use the voluminous Connected Math curriculum,
The Connected Math curriculum has very extensive teacher instructions, while the Singapore curriculum is rather thin in this area. Does it follow that teachers using Singapore Math have far more freedom with respect to their instruction methods, or is the intention to make sure that teachers teach Connected Math in a scripted way?
The Connected Math texts require more dead trees and I assume cost more than the Singapore texts directly and indirectly (transportation, packaging and the overhead of dealing with more pieces)
The voluminous Connected Math texts have far more opportunities for errors, simply based on the amount of text and illustrations included in the books.
There's quite a bit of discussion on Connected Math and Singapore Math around the internet. Maybe it's time to follow the www.heymath.net people (from India, China and Great Britain) and virtualize this while eliminating the textbooks?
Tom Friedman writes "...math and science are the keys to innovation and power in today's world, and American parents had better understand that the people who are eating their kids' lunch in math are not resting on their laurels." His opinion piece in the New York Times writes more about HeyMath! and its use in Singapore and worldwide.
an E-learning system that supports the work of teachers in teaching and assessment, whilst helping students build a strong foundation in Math and become independent learners.
International Business Machines Corp., worried the United States is losing its competitive edge, will financially back employees who want to leave the company to become math and science teachers.
The new program, being announced Friday in concert with city and state education officials, reflects tech industry fears that U.S. students are falling behind peers from Bangalore to Beijing in the sciences.
Up to 100 IBM employees will be eligible for the program in its trial phase. Eventually, Big Blue hopes many more of its tech savvy employees - and those in other companies - will follow suit.
A professional mathematician shares his insights about effective instructional practice, how children learn, the importance of a coherent, systematic curriculum—and mathematics—after taking up the challenge of teaching in an Israeli elementary school.
Knowing Mathematics for Teaching:
There is general agreement that teachers’ knowledge of the mathematical content to be taught is the cornerstone of effective mathematics instruction. But the actual extent and nature of the mathematical knowledge teachers need remains a matter of controversy. A new program of research into what it means to know mathematics for teaching—and how that knowledge relates to student achievement—may help provide some answers.
"There's still a big disparity between the percentage of women in science, engineering and technology versus the percentage of men," Milgram said. "I think there has been a tendency to define certain things as masculine and feminine. Science and technology are defined as masculine."
Milgram will be joined on the panel by Ellen Spertus, a computer science professor at Mills College and part-time software engineer at Google; Margaret Torn, a geological scientist at Lawrence Berkeley Lab; Neveia Chappell, product marketing engineer for Agilent Technologies; and Violet Votin, a recent graduate of Stanford University in cell biology.
K-12 Math Curriculum: A Visit With UW Math Professor Dick Askey
UW Math Professor Dick Askey kindly took the time to visit with a group of schoolinfosystem.org writers and friends recently. Dick discussed a variety of test results, books, articles and links with respect to K-12 math curriculum. Here are a few of them:
Test Results:
Wisconsin is slipping relative to other states in every two year NAP (sp?) Math test (4th and 8th grade). In 1992, Wisconsin 4th graders were 10 points above the national average while in 2003 they were 4 points above. Wisconsin students are slipping between 4th and eighth grades. In fact, white and hispanic children are now performing equivalent to Texas students while Wisconsin black students are performing above Washington, DC and Arkansas (the two lowest performers). He mentioned that there is no serious concern about the slippage.
30 years ago, the United States had the highest % of people graduating from High School of any OECD country. Today, we're among the lowest. We also have a higher drop out rate than most OECD countries.
Said that he has asked Madison Schools Superintendent Art Rainwater twice in the past five years if our District asked for and received corrections for the current connected Math textbooks.
Mentioned that CorePlus is evidently being used at West High but not Memorial
Asked why these math performance declines are happening, he mentioned several reasons; "tame mathemeticians", declining teacher content knowledge (he mentioned the rigor of an 1870's California Teacher exam) and those who are true believers in the rhetoric.
Most college curricula offer no rescue. In the modern American university, nobody takes responsibility for what is taught. Faculty members avoid prescribing any subject matter in particular. The participatory democracy of curriculum making somehow always manages to end at the same point: Anything must be declared to be as good as anything else, lest the balance of departmental enrollments (and faculty positions) be disturbed. The arguments are not, of course, so crudely put. We academicians are too skilled at spinning high reasons for low acts. Letting students ignore the events and ideas that have shaped them and their world is called freedom of choice. Amnesia becomes liberation. The notion that freedom can proceed only out of requirements is too deep for us, especially at budget time, and as enrollments fall.
If American education is ever to be made democratic, so that, as deTocqueville said, democracy may be educated, nothing will be more crucial than a common, sequential study of history throughout the elementary and secondary years. Only history, and particularly the history of Western civilization, can begin to help us find who we are and what choices we may have before us. But history is also, in Clifton Fadiman’s words, a generative subject, upon which the coherence and usefulness of many other subjects depend. It is essential to a serviceable view of art, architecture, drama, and literature, of the evolution of the natural sciences and social sciences. These are high claims for the uses of history, but they are justified by the aesthetic and intellectual experiences of countless Westerners, stretching back through time from Churchill to Thucydides. And such claims must be kept uppermost in mind, for otherwise it would prove impossible to decide what is most worth teaching out of the enormous mass of historical data facing us.
Daniel T. WIllingham: The Cognitive Scientist: Do Visual, Auditory, and Kinesthetic Learners Need Visual, Auditory, and Kinesthetic Instruction?
Check out your middle schooler's math skills with an online Saxon Math placement test.
Saxon Math offers excellent math programs from all grade levels. Some parents ask the teachers not to assign math homework to their child and use daily Saxon Math lessons instead.
Virginia will drop a basic skills test for would-be teachers which measures high-school-level reading, writing and math performance. Instead, the state will develop its own test of college-level reading and writing skills. Only math teachers will be tested on math knowledge.
Here are "advanced math" test prep questions for Praxis I, which is being abandoned. Thirty-five years out of high school, I can do these problems in my head. It's hard to believe there are people smart enough to teach who can't pass a basic math test. How are they going to average students' grades?
In a comparison of a 1973 algebra textbook and a 1998 "contemporary mathematics" textbook, Williamson Evers and Paul Clopton found a dramatic change in topics. In the 1973 book, for example, the index for the letter "F" included factors, factoring, fallacies, finite decimal, finite set, formulas, fractions and functions. In the 1998 book, the index listed families (in poverty data), fast food nutrition data, fat in fast food, feasibility study, feeding tours, ferris wheel, fish, fishing, flags, flight, floor plan, flower beds, food, football, Ford Mustang, franchises and fund-raising carnival.
......
It seems terribly old-fashioned to point out that the countries that regularly beat our students in international tests of mathematics do not use the subject to steer students into political action. They teach them instead that mathematics is a universal language that is as relevant and meaningful in Tokyo as it is in Paris, Nairobi and Chicago. The students who learn this universal language well will be the builders and shapers of technology in the 21st century. The students in American classes who fall prey to the political designs of their teachers and professors will not.
A reader forwarded this article: Jay Mathews, writing in the Washington Post:
So when I found a new attack on the National Council of Teachers of Mathematics (NCTM), the nation's leading association for math teachers, by a group of smart advocates, I saw a chance to bring some clarity to what we call the Math Wars. For several years, loosely allied groups of activist teachers and parents with math backgrounds have argued that we are teaching math all wrong. We should make sure that children know their math facts -- can multiply quickly in their heads and do long division without calculators, among other things -- or algebra is going to kill them, they say. They blame the NCTM, based in Reston, Va., for encouraging loose teaching that leaves students to try to discover principles themselves and relies too much on calculators.
I love debates, as frequent readers of this column know. I learn the most when I am listening to two well-informed advocates of opposite positions going at each other.
I have held several debates here, although not all of them have worked because the debaters lose focus. One will make a telling point, and the other, instead of responding, will slide off into a digression.
So when I found a new attack on the National Council of Teachers of Mathematics (NCTM), the nation's leading association for math teachers, by a group of smart advocates, I saw a chance to bring some clarity to what we call the Math Wars. For several years, loosely allied groups of activist teachers and parents with math backgrounds have argued that we are teaching math all wrong. We should make sure that children know their math facts -- can multiply quickly in their heads and do long division without calculators, among other things -- or algebra is going to kill them, they say. They blame the NCTM, based in Reston, Va., for encouraging loose teaching that leaves students to try to discover principles themselves and relies too much on calculators.
The NCTM people, on the other hand, said this was a gross misstatement of what they were doing.
The advocates call their new assault "Ten Myths About Math Education and Why You Shouldn't Believe Them." I took the myths, and their explanation of each, and asked the NCTM to respond to each one. Here is the result. There are some quotes that are not attributed, but are found in sources cited on the myth Web page, and some technical language, but I think this provides a good quick review of what this raging argument is all about.
Feel free to send your comments to one of the people who came up with the list of 10, Elizabeth Carson at nycmathforum@yahoo.com or to the NCTM at president@nctm.org. The NCTM Web site is http://www.nctm.org/about/position_statements/, and the names of the dissident group are on the myth Web page.
Myth #1 -- Only what students discover for themselves is truly learned.
Advocates: Students learn in a variety of ways. Basing most learning on student discovery is time-consuming, does not insure that students end up learning the right concepts, and can delay or prevent progression to the next level. Successful programs use discovery for only a few very carefully selected topics, never all topics.
NCTM: NCTM has never advocated discovery learning as an exclusive or even primary method of instruction. In fact, we agree that students do learn in a variety of ways, and effective learning depends on a variety of strategies at appropriate times. The goal is not just to know math facts and procedures but also to be able to think, reason and apply mathematics. Students must build their skills on a strong foundation of understanding.
Myth #2 -- Children develop a deeper understanding of mathematics and a greater sense of ownership when they are expected to invent and use their own methods for performing the basic arithmetical operations, rather than being taught the standard arithmetic algorithms and their rationale, and given practice in using them.
Advocates: Children who do not master the standard algorithms begin to have problems as early as algebra I.
The snubbing or outright omission of the long division algorithm by NCTM- based curricula can be singularly responsible for the mathematical demise of its students. Long division is a pre-skill that all students must master to automaticity for algebra (polynomial long division), pre-calculus (finding roots and asymptotes), and calculus (e.g., integration of rational functions and Laplace transforms.) Its demand for estimation and computation skills during the procedure develops number sense and facility with the decimal system of notation as no other single arithmetic operation affords.
NCTM: NCTM has never advocated abandoning the use of standard algorithms. The notion that NCTM omits long division is nonsense. NCTM believes strongly that all students must become proficient with computation (adding, subtracting, multiplying, and dividing), using efficient and accurate methods.
Regardless of the particular method used, students must be able to explain their method, understand that other methods may exist, and see the usefulness of algorithms that are efficient and accurate. This is a foundational skill for algebra and higher math.
MYTH #3 -- There are two separate and distinct ways to teach mathematics. The NCTM backed approach deepens conceptual understanding through a problem solving approach. The other teaches only arithmetic skills through drill and kill. Children don't need to spend long hours practicing and reviewing basic arithmetical operations. It's the concept that's important.
Advocates: "The starting point for the development of children's creativity and skills should be established concepts and algorithms. ..... Success in mathematics needs to be grounded in well-learned algorithms as well as understanding of the concepts."
What is taught in math is the most critical component of teaching math. How math is taught is important as well, but is dictated by the "what." Much of understanding comes from mastery of basic skills -- an approach backed by most professors of mathematics. It succeeds through systematically empowering children with the pre-skills they need to succeed in all areas of mathematics. The myth of conceptual understanding versus skills is essentially a false choice -- a bogus dichotomy. The NCTM standards suggested "less emphasis" on topics needed for higher math, such as many basic skills of arithmetic and algebra.
"That students will only remember what they have extensively practiced -- and that they will only remember for the long term that which they have practiced in a sustained way over many years -- are realities that can't be bypassed."
NCTM: Math teaching does not fall into two extremes. There are several ways to teach effectively. Even a single teacher isn't likely to use the same method every day. Good teachers blend the best methods to help students develop a solid understanding of mathematics and proficiency with mathematical procedures.
It's worth noting that standard algorithms are not standard throughout the world. What is most important is that an algorithm works and that the student understands the math underlying why it works.
Every day teachers make decisions that shape the nature of the instructional tasks selected for students to learn, the questions asked, how long teachers wait for a response, how and how much encouragement is provided, the quality and level of practice needed -- in short, all the elements that together become the opportunities students have to learn. There is no one-size-fits-all model.
Myth #4 -- The math programs based on NCTM standards are better for children with learning disabilities than other approaches.
Advocates: "Educators must resist the temptation to adopt the latest math movement, reform, or fad when data-based support is lacking. ....."
Large-scale data from California and foreign countries show that children with learning disabilities do much better in more structured learning environments.
NCTM: Most of the math programs published in this country claim to be based on the NCTM Standards. More important than the materials we use is how we teach. Students, all students, are entitled to instruction that involves important mathematics and challenges them to think.
Myth #5 -- Urban teachers like using math programs based on NCTM standards.
Advocates: Mere mention of [TERC, a program emphasizing hands-on teaching of math that this group doesn't believe demands enough paper and pencil work] was enough to bring a collective groan from more than 100 Boston Teacher Union representatives. ..... "
NCTM: Curricular improvement is hard, takes a lot of work, and demands support -- for the teacher, for students, and for parents. It should be noted that Boston students using the TERC-developed curriculum seem to be thriving. The percentage of failing students on the Massachusetts state assessment decreased from 46 to 30 percent and students scoring at the Proficient and Advanced categories increased from 14 to 22 percent between 2000-2004 (Boston Globe, December 14, 2004).
Myth #6 -- "Calculator use has been shown to enhance cognitive gains in areas that include number sense, conceptual development, and visualization. Such gains can empower and motivate all teachers and students to engage in richer problem-solving activities." (NCTM Position Statement)
Advocates: Children in almost all of the highest scoring countries in the Third International Mathematics and Science Survey (TIMMS) do not use calculators as part of mathematics instruction before grade 6.
A study of calculator usage among calculus students at Johns Hopkins University found a strong correlation between calculator usage in earlier grades and poorer performance in calculus.
NCTM: The TIMSS 1999 study of videotaped lessons of eighth-grade mathematics teachers revealed that U.S. classrooms used calculators significantly less often than the Netherlands (a higher achieving country) and not significantly differently from four of the five other higher-achieving countries in the analysis. When calculators are used well in the classroom, they can enhance students' understanding without limiting skill development. Technology (calculator or computer) should never be a replacement for basic understanding and development of proficiency, including skills like the basic multiplication facts.
Myth #7-- The reason other countries do better on international math tests like TIMSS and PISA is that those countries select test takers only from a group of the top performers.
Advocates: On NPR's "Talk of the Nation" program on education in the United States (Feb. 15, 2005), Grover Whitehurst, director of the Institute of Education Sciences at the Department of Education, stated that test takers are selected randomly in all countries and not selected from the top performers.
NCTM: This is a myth. We know that students from other countries are doing better than many U.S. students, but certainly not all U.S. students. One reason U.S. students have not done well is that the way we have taught math just doesn't work well for enough of our students, and we have the responsibility to teach them all.
Myth #8 -- Math concepts are best understood and mastered when presented "in context"; in that way, the underlying math concept will follow automatically.
Advocates: Applications are important and story problems make good motivators, but understanding should come from building the math for universal application. When story problems take center stage, the math it leads to is often not practiced or applied widely enough for students to learn how to apply the concept to other problems.
"[S]olutions of problems ..... need to be rounded off with a mathematical discussion of the underlying mathematics. If new tools are fashioned to solve a problem, then these tools have to be put in the proper mathematical perspective. ..... Otherwise the curriculum lacks mathematical cohesion.
NCTM: For generations, mathematics was taught as an isolated topic with its own categories of word problems. It didn't work. Adults groan when they hear "If a train leaves Boston at 2 o'clock traveling at 80 mph, and at the same time a train leaves New York ..... " Whatever problems and contexts are used, they need to engage students and be relevant to today's demanding and rapidly changing world.
An effective program lets students see where math is used and helps students learn by providing them a chance to struggle with challenging problems. The teacher's most important job in this setting is to guide student work through carefully designed questions and to help students make explicit connections between the problems they solve and the mathematics they are learning.
Myth #9 -- NCTM math reform reflects the programs and practices in higher performing nations.
Advocates: A recent study commissioned by the U.S. Department of Education, comparing Singapore's math program and texts with U.S. math texts, found that Singapore's approach is distinctly different from NCTM math "reforms."
Also, a paper that reviews videotaped math classes in Japan shows that there is teacher-guided instruction (including a wide variety of hints and helps from teachers while students are working on or presenting solutions).
NCTM: The study commissioned by the U.S. Department of Education comparing Singapore's mathematics program and texts with U.S. math texts also found that the U.S. program "gives greater emphasis than Singapore's to developing important 21st-century mathematical skills such as representation, reasoning, making connections, and communication. The U.S. frameworks and textbooks also place greater emphasis on applied mathematics, including statistics and probability."
NCTM's standards call for doing more challenging mathematics problems, as do programs in Singapore, Japan and elsewhere, but they also recognize the needs of 21st-century learners.
Myth #10 -- Research shows NCTM programs are effective.
Advocates: There is no conclusive evidence of the efficacy of any math instructional program.
Increases in test scores may reflect increased tutoring, enrollment in learning centers, or teachers who supplement with texts and other materials of their own choosing. Also, much of the "research" touted by some of the NSF programs has been conducted by the same companies selling the programs. State exams are increasingly being revised to address state math standards that reflect NCTM guidelines rather than the content recommended by mathematicians.
NCTM: True, there is no compelling evidence that any curriculum is effective in every setting, nor are there data to show exactly what causes improvement in student learning when many factors are involved. There is evidence that some of the more recently developed curricula are effective in some settings. However, the effectiveness with which a program, any program, is implemented is critical to its success, as are teacher quality, ongoing professional development, continuing administrative support, and the commitment of resources. Again, the issue of effectiveness is more likely to be attributable to instruction than to any specific curriculum.
Contrary to what is stated in some of these myths, there is no such thing as an "NCTM program." NCTM does not endorse or make recommendations for any programs, curricula, textbooks, or instructional materials. NCTM supports local communities using Principles and Standards for School Mathematics as a focal point in the dialogue to create a curriculum that meets their needs.
While there was a need to do something to improve school mathematics education, NCTM did not face up to the most critical problem, the lack of firm content knowledge of far too many teachers. There were other lacks in their program. NCTM did not look seriously at mathematics education in other countries. Mathematicians were not involved in the development of the Standards. The NCTM authors of their Standards had the strange notion that it is possible to teach conceptual understanding without developing technical skill at the same time. Instances of all of these failures and what came from them will be given below.
Elementary school mathematics, it turns out, is not so elementary. This means that teaching it well requires much deeper mathematical knowledge than almost everyone has thought. There will be no math reform unless we provide teachers with the training, textbooks, time, and support needed to develop this knowledge.
So it was a surprise to see the photograph in the weekly paper, The Quincy Sun. There, on Page 7, was the Quincy High math club, and 17 of 18 members were Asian. Mathematically, it made no sense. Quincy High is 22 percent Asian; why is the math club 94.4 percent Asian?
Evelyn Ryan, the math department head, says that before the influx of Asian families began, there was one calculus class of 10 students; now there are two calculus classes totaling 40 students, 75 percent of them Asian.
I wanted to ask math club members why Asian students are so good in math. As I was to learn, it wasn't such a simple question.
Most Asians at Quincy High have been in America only a few years, from China, Vietnam and Thailand. Most know little English when they arrive and are placed in E.S.L. classes (English as a second language.) "When I was a freshman, half year in U.S., English is a big problem," said Chaoran Xie, a junior now. "I just know, 'Hello how are you?' History is a big problem. You don't openly express yourself because you don't know what to say and stuff. In history it's a simple idea, but you don't have the basic English."
From the Huffington Post: Mike Piscal, founder of the very successful View Park Prep charter school in the low-income, minority Crenshaw District of LA names names in analyzing why 3,950 ninth graders at South LA's four major high schools turn into 1,600 graduates, 900 college freshmen and 258 college graduates. More here.
This is related: Shanghai Jiaotong University won the recent ACM International Collegiate Programming Contest. The US hasn't won since 1997. The University of Illinois finished 17th, CalTech,Duke and MIT finished 29th while UW-Madison earned an honorable mention.
Several westside PTO's hosted a candidate forum Wednesday evening. The candidates discussed a wide variety of questions, including referendums, the budget process, strings, local education media coverage and differences with their opponents. Listen to the entire event (34.6MB mp3 audio file), or click on the links below to review specific questions & answers.
Q1: Referendums: Where do you stand? All four candidates Video
Q2: Do you agree with the proposed cuts? All four candidates Video
Q3: What can you do to protect TAG, arts and other programs due to the continuous funding changes? Bill Clingan & Carol Carstensen Video
Q4: How would you respond to a parent who said that they were leaving the Madison Schools because their child would have better AP, arts or sports opportunities in another district? (Larry Winkler & Lawrie Kobza) Video
Q5: For the incumbents: What specific initiatives have you taken to raise math scores particularily with low income & minority students? (Bill Clingan & Carol Carstensen) Video
Q6: For the challengers: What are the substantive differences between you and your opponent? (Lawrie Kobza & Larry Winkler) Video
Q7: Will you promise to evaluate the Superintendent annually, as his contract calls for? (Bill Clingan) Video
Q8: You said you would vote for a 3 year operating referendum at the recent MAFAAC Forum, now you say you won't. Why have you changed your mind? (Lawrie Kobza) Video
Q9: Does the Administration's budget document reflect School Board priorities? (Carol Carstensen) Video
Q10: Do you think we should be fund raising from corporations, and asking them for money? (Larry Winkler) Video
Q11: Do you feel the media covers school issues and how do you feel about the fact that there are no media representatives here tonight? (Bill Clingan) Video
Q12: Comment on the proposed reduction in Program Support Teachers? (Carol Carstensen) Video
Q13: How important do you think no-cut freshman sports are? (Lawrie Kobza) Video
Q14: How do you propose to address growth in extended parts of the Madison School District? (Larry Winkler) Video
Q15: Strings is part of the Board approved standards. Why is the Administration proposing to eliminate it? What are your views on this issue? (All 4 candidates) Video
Candidate Closing Statements (All 4 candidates) Video
A note on local media coverage. Indeed, no members of the traditional media were present (perhaps this explains why?), but several internet writers were there, and have written about the event on this site.
''What's going to happen when they go into a store? Are they going to say, 'Do you happen to have 25 Cheerios so I can break it down?' " said Jacqueline Azulay of Roslindale, who sees her two daughters going to great lengths to break large numbers into manageable pieces. ''I think they need to teach basic math."
Workshop focuses on using algebra to teach arithmetic
(Posted: 2/21/2005)
Helping grade-schoolers make the difficult transition from arithmetic to algebra is the goal of a one-day workshop on Tuesday, March 1.
"Thinking Mathematically: Teaching Elementary Students to Use Algebraic Reasoning to Support the Learning of Arithmetic," sponsored by the Office of Education Outreach, will be held at the Pyle Center, 702 Langdon St.
The aim of the workshop is to increase teachers' understanding of how the fundamental principles imbedded in arithmetic can provide a foundation for learning arithmetic with understanding as well as learning algebra.
The session, which runs from 8 a.m.-4 p.m., will be led by Annie Keith, a teacher in the Madison Metropolitan School District and a member of the Cognitively Guided Instruction research project at the Wisconsin Center for Education Research (WCER), and Linda Levi, associate researcher at WCER.
Participants will learn about research that demonstrates how the principles of algebra apply to the learning of arithmetic. Keith and Levi also will discuss how to teach arithmetic so that the concepts and skills that students learn in elementary school are better aligned with the concepts and skills that they need in order to learn algebra.
Ensuring the individual applicability of the program, participants will be asked to pose certain problems to their students before the workshop and bring to the workshop information about how their students solved the problems.
Cost for the session is $135 and participants will be awarded 0.6 continuing education units for attendance. This workshop addresses Wisconsin Teacher Standards 1, 2, 3, 4 and 8.
For more information, contact Julie Seaborg, Office of Education Outreach, at (608) 263-5140 or visit the Office of Education Outreach's Web page.
New York Times, December 12, 2004
The Last Time You Used Algebra Was...
By DONALD G. McNEIL Jr.
It's been a long time since most of us have used algebra in our daily lives - unless, perhaps, you're helping your child with homework or work in a field that uses lots of mathematics. However, learning algebra is still important. The concepts I learned in mathematics have helped me with learning other concepts in different fields - math teaches you a way of thinking.
"...kids don't study poetry just because they're going to grow up to be poets. It's about a habit of mind. Your mind doesn't think abstractly unless it's asked to - and it needs to be asked to from a relatively young age. The rigor and logic that goes into math is a good way for your brain to be trained," said Miss Collins, the author's daughter's math teacher.
U.S. Students Fare Badly in International Survey of Math Skills
PARIS, Dec. 6 - High school students in Hong Kong, Finland and South Korea do best in mathematics among those in 40 surveyed countries while students in the United States finished in the bottom half, according to a new international comparison of mathematical skills shown by 15-year-olds.
The United States was also cited as having the poorest outcomes per dollar spent on education. It ranked 28th of 40 countries in math and 18th in reading.
Economic Time Bomb: US Teens are Among the Worst at Math
June Kronholz summarizes the OECD's Program for International Student Assessment, which finds that:
The percentage of top-achieving math students in the nation is about half that of other industrialized countries, and the gap between scores of whites and minority groups -- who will make up an increasing share of the labor force in coming decades -- is enormous.
Melania Alvarez, former MMSD School Board candidate, spoke on Monday, November 30, 2004 before members of the School Board. Her comments raised concerns about the lack of evaluation of the math curriculum currently being used in the MMSD. Ms. Alvarez's comments are based upon her own review of the math curriculum and upon her conversations with concerned parents in the District.
Following are video clips of her comments and questions of her by School board members.
The Madison School Board Performance & Achievement Committee met monday night, to discuss "Research-Base Underlying MMSD Mathematics Curriculum & Instruction" Here are some video clips from the meeting:
JUDGING THE QUALITY OF K-12 MATHEMATICS EVALUATIONS
On Evaluating Curricular Effectiveness: Judging the Quality of K-12 Mathematics Evaluations (2004)
Curricula play a vital role in educational practice. They provide a crucial link between standards and accountability measures. They shape and are shaped by the professionals who teach with them. Typically, they also determine the content of the subjects being taught. Furthermore, because decisions about curricula are typically made at the local level in the United States, a wide variety of curricula are available for any given subject area.
Under the auspices of the National Research Council, this committee�s charge was to evaluate the quality of the evaluations of the 13 mathematics curriculum materials supported by the National Science Foundation (NSF) (an estimated $93 million) and 6 of the commercially generated mathematics curriculum materials (listing in Chapter 2).
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November 28, 2004
Madison Math Curriculum Discussion
Reminder: The Madison School Board Performance & Achievement Committee will meet monday night, 11.29 @ 7:00p.m. to discuss "Research-Base Underlying MMSD Mathematics Curriculum & Instruction" Room 103 Doyle Administration building [Map].
Ms. Dempsey circled all those numbers on her own chart, which was being projected onto the blackboard. Now, she said, everyone in the class should color in all the multiples of two on his or her page. The students uncapped their yellow markers and set about filling in the appropriate boxes, noting the patterns they formed.
"Wonderful," Ms. Dempsey said, looking over one child's completed worksheet. "Just awesome."
At one particular desk, though, Jimmy was solving a different problem. He had just transferred to Claremont from a nearby Catholic school, and during the lesson he had whispered to an educator who happened to be visiting the room, "I know all my facts," by which he meant his multiplication tables.
So that educator, Ferzeen Bhana, the math coordinator for Ossining's elementary schools, gave him a problem to try: 23 times 16. Within a minute, Jimmy delivered 368, the correct answer. Ms. Bhana asked him how he had gotten it. Jimmy offered her a shy, yearning face and said nothing.
That brief moment, one moment in one school in one middle-income town, described the divide of the math wars in America. It was evident to Ms. Bhana that Jimmy had learned multiplication the old-fashioned way, with drills, algorithms and concepts like place-value. The rest of the students were using a curriculum called Investigations, one of the new constructivist models, which teaches reasoning out a solution.
Discovery learning is fashionable in math reform circles, writes Seebach. The Japanese are supposed to be the models. But the Japanese teach traditionally -- with "beautifully designed and superbly executed" lessons.
The videotape shows, Siegel says, that "a master teacher can present every step of a solution without divulging the answer, and can, by so doing, help students learn to think deeply. In such circumstances, the notion that students might have discovered the ideas on their own becomes an enticing mix of illusion intertwined with threads of truth."
Two articles of interest appear in the issue of Isthmus dated June 15, 2004.
A small article on page 6 says "Several Madison elementary schools, including Thoreau and Glenn Stephens, will begin teaching Singapore Math next year. The change comes amid concerns that the district's preferred math program, TERC Investigations, which stresses self-guided problem solving, does not teach students enough basic math skills."
A lengthier article reviews the "difficult transiton at East High." As "faculty vent deep discontent," the article headline asks "is new princiapl to blame?" One source doubts, says the article, that "Tillman's contract will be renewed" beyond next year."
Research shows that teachers with degrees in the subjects they teach are more successful. That's the reason behind teacher-certification requirements in the federal No Child Left Behind education law.
But as Robert Frederick reports, not all mathematicians are successful math teachers. Most could use some help in becoming calculating sleuths. Education experts note that most advanced math programs are geared toward theoretical as opposed to practical instruction.
It's not enough to know math, says Judith Ramaley of the National Science Foundation. Teachers "also need to understand how the minds of young people work, and how to diagnose� the kinds of tangles kids get into," she says.
Reporter Vikki Kratz quotes our Madison School District math coordinator, Linda McQuillen, as saying: "We no longer need courses below algebra in high school," and she attributes this to the "success" of the new feeder programs in the middle schools.
First, let's set the record straight. The truth is, we are not allowed to offer courses below algebra in the ninth grade. At West High, we were told by the administration that, beginning this year, we could no longer offer our pre-algebra course, a historically successful preliminary course, to the students whose preparation of algebra was inadequate. This came directly out of the school board mandate (ordered without teacher consultation) that every student must pass geometry by the end of 10th grade. This effectively forces all students, ready or not, into algebra in the ninth grade.
At West, to address the problems of inadequate preparation, we offer an extra hour of math per day in a class called Algebra Extended. There are 11 sections of this class. This is how more kids "complete ninth grade math in the ninth grade," not because of some touted "success" of the feeder programs in middle school.
As a matter of fact, the algebra skills and problem-solving skills of my geometry students have been generally worse every year, and my experience is echoed by many of my colleagues who teach classes beyond geometry. The kids are frustrated and angry as well, feeling, rightfully so, that it's not their fault.
Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
It seems the administration and our school board have re-defined "success" as merely producing "fewer failures." Astonishingly, excellence in student achievement is visited by some school district administrators with apathy at best, and with contempt at worst. But, while raising low achievers is a laudable goal, it is woefully short-sighted and, ironically, racist in the most insidious way. Somehow, limiting opportunities for excellence has become the definition of providing equity! Could there be a greater insult to the minority community?
Like all "geeks," minority "geeks" are under enormous pressure to dumb down for their peer groups. Most smart kids are afraid to look "too smart" in the larger school population, and that is why accelerated course are so important. These kids need a socially safe place to be smart, and a peer group based upon intellect, not just grade level, in order to truly flourish.
Susan Lochen
Madison West High School
(co-signed by other West math teachers: Janice Cis, Keith Knowles, Carol Michalski, Jackie Hubbard, Daniel Boyland, Artie L. Orlik, Stephen Lang, Stephen Land, Tim Goldsworthy)
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A Math book for "High Schools and Normal Schools by S.Y. Gillan [9.6MB PDF]: 
Alexander Givental, via email: 
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Unless you have a kid in the Madison schools, many of the issues discussed by the four Madison school board candidates in our weekly 
Video and audio from Wednesday's Math Forum are now available [
