Search results

51 results found.

Seattle Public Schools Administration Response to the Discovery Math Public Lawsuit Loss



602K PDF.

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.

Much more on the successful citizen lawsuit overturning the Seattle School District’s use of Discovery Math, here. http://seattlemathgroup.blogspot.com/. Clusty Search: Discovery Math.
Local links: Math Task Force, Math Forum Audio/Video and West High School Math Teachers letter to Isthmus.




Seattle Discovery Math Lawsuit Update



Martha McLaren:

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.

5.4MB PDF file.




Seattle School District Files Appeal in “Discovery Math” Lawsuit Loss



Martha McLaren:

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.

Much more on the initial, successful rollback of Seattle’s Discovery Math program here


Seattle Public Schools Appeal Discovery Math Implementation Court Loss



Martha McLaren:

Today we received notice of the Seattle School District’s decision to appeal the Decision of Judge Spector which required the SPS board to reconsider its high school math text adoption vote.
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.




More Rhetoric on the Seattle School District’s Court Loss on the Use of Discovery Math



Melissa Westbrook:

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.
What?

Much more on the successful community lawsuit vs. the Seattle School District’s implementation of Discovery Math. Math Forum audio / video.




Skydiving without Parachutes: Seattle Court Decision Against Discovery Math Implementation



Barry Garelick:

“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.




Seattle Court Reverses School Board Decision to Implement Discovery Math



Judge Julie Spector’s decision [69K PDF], via Martha McLaren:

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.
Dated this 4th day of February, 2010.

Melissa Westbrook has more.
Seattle Math Group Press Release:

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




On Seattle’s “Discovery Math” Lawsuit: “Textbook argument divides us”



Danny Westneat:

Can an algebra textbook be racist?
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.




Forcing maths on teenagers is cruel and counterproductive: Rishi Sunak would be better focusing on primary schools than making students study the subject to age 18Forcing maths on teenagers is cruel and counterproductive:



Lucy Kellaway:

Some years ago, shortly before I left the Financial Times, I gave a talk at a literary event in Oxford. Put up your hand, I said to the audience, if you are useless at maths — whereupon the arms of around a third of them shot into the air. At the time, I wrote a column saying something had gone badly wrong when so many people in one of the most intellectually rarefied towns on the planet were not only dunces at maths but wore their inadequacy as if it were a charming quirk.

This week, the prime minister made the same point when he railed against the country’s “anti-maths mindset”. Rishi Sunak’s solution is to force all teenagers to study the subject until they are 18; mine was to roll my sleeves up and become a maths teacher myself.

The difference between our approaches is that mine did no harm. I tried my hardest to get teenagers to learn probability and algebra but after a year, with the relief that comes from deciding to do what you love, I switched to teaching economics and business instead. Sunak’s scheme may be equally well intentioned, but coercing students to go on doing what they hate will be ruinously expensive, counterproductive and borderline cruel.

Sunak, whose formative experience of maths was from his own school days at Winchester, would have done well to visit me as I entirely failed to teach standard-form maths to a Year 10 bottom set in an inner London comp. He would have witnessed a struggling student asking the million-dollar question: “Miss, why are we doing this?” There was no earthly reason. None of them would ever need standard form again. Surely Sunak would have seen that his first task was to do something about the 30 per cent of students nationally who fail to get the lowest pass at maths GCSE.

These teenagers are now required to retake the exam over and over until they pass or turn 18 — with the result that 100,000 students each year will have spent two years notching up successive failures, leaving most of them at 18 feeling they are not only failures at maths, but at life.

Related:

Remedial math at the University of Wisconsin.

“used surveys in early 2020 to assess how students felt in their math classes and what teachers thought about their own efforts to help students feel like they belong”

Much more on the successful citizen lawsuit overturning the Seattle School District’s use of Discovery Math, here.

http://seattlemathgroup.blogspot.com/.

Discovery Math

Connected math.

Singapore Math


Local links: Math Task Force, Math Forum Audio/Video and West High School Math Teachers letter to Isthmus.




Notes on math education



Summer Allen:

A new study finds that high school students identify more with math if they see their math teacher treating everyone in the class equitably, especially in racially diverse schools. The study by researchers at Portland State University, Loyola University Chicago and the University of North Texas was published in the journal Sociology of Education. Dara Shifrer, associate professor of sociology at Portland State and former middle school math teacher, led the study.

Who can do well in math? How you answer that question may depend on where you live. Whereas people in East Asian countries tend to believe that hard work can lead anyone to succeed at math, people in the United States are more likely to believe that people need natural talent in the subject to succeed. This perception means that students in the U.S. may be particularly susceptible to racial and gender stereotypes about who is and is not “good at math.”

“Americans don’t realize what strange stereotypes we have about math,” says Shifrer. “It really sets kids up for failure here.”

The fact that some high school students are more likely to give up on math than others has important implications for their individual futures and for the lack of diversity in STEM (science, technology, engineering and math) careers.

Much more on the successful citizen lawsuit overturning the Seattle School District’s use of Discovery Math, here.

http://seattlemathgroup.blogspot.com/.

Discovery Math

Connected math.

Singapore Math


Local links: Math Task Force, Math Forum Audio/Video and West High School Math Teachers letter to Isthmus.




Notes on Parents and Math Rigor



Ellen Gamerman:

On RussianMathTutors.com, a site promoting a Soviet-era style of math instruction, a sample question involves Masha, a mom who bakes a batch of unmarked pies: three rice, three bean and three cherry. The student must determine how Masha can find a cherry pie “by biting into as few tasteless pies as possible.”

While Masha is biting pies, American parents are eating it up.

In the smarter, faster, better quest that is child-rearing in the United States, goal-oriented moms and dads eager to give their children an academic edge have long looked beyond U.S. borders for math education. Singapore math promotes concept mastery and critical thinking. Japanese math espouses the discipline of daily study. Now, another turbocharged math style is having its moment. Russian math, which uses reasoning and abstract concepts to build understanding, is lighting up parent group chats as the country emerges from a pandemic that left children zoning out over Zoom and schools prioritizing social-emotional recovery over homework.

“I always think for students it’s great to aim higher,” said Andrea Campbell, a mother from Newcastle, Calif. Her three children have studied with $20-an-hour instructors from Russian Math Tutors for the past two years as they pursue math competitions. “For math, you can’t do enough.”

Math Forum Audio / Video

Madison’s Math Task Force

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

(2009) What impact do high school mathematics curricula have on college-level mathematics placement?

Related: Singapore Math.

Discovery Math.

Connected Math.




Math education outcomes: credit card edition



Sumit Agarwal, Andrea Presbitero, André F. Silva, and Carlo Wix:

We study credit card rewards as an ideal laboratory to quantify the cross-subsidy from naive to sophisticated consumers in retail financial markets. Using granular data on the near universe of credit card accounts in the United States, we find that sophisticated consumers profit from reward credit cards at the expense of naive consumers who lose money both in absolute terms and relative to classic cards. We estimate an aggregate annual cross-subsidy of $15.5 billion. Notably, our results are not driven by income—while sophisticated high-income consumers benefit the most, naive high-income consumers pay the most. Banks lure consumers into the use of reward cards by offering lower interest rates than on comparable classic cards and bank profits are highest for borrowers in the middle of the credit score distribution. We show that credit card rewards transfer wealth from less to more educated, from poorer to richer, from rural to urban, and from high to low minority areas, thereby widening existing spatial disparities.

Math Forum audio video.

Connected math

Singapore Math

Discovery math




How One School Is Beating the Odds in Math, the Pandemic’s Hardest-Hit Subject:
Benjamin Franklin Elementary in Connecticut overhauled the way it taught — and the way it ran the classroom. Every minute counted



Sarah Mervosh:

It’s just after lunchtime, and Dori Montano’s fifth-grade math class is running on a firm schedule.

In one corner of the classroom, Ms. Montano huddles with a small group of students, working through a lesson about place value: Is 23.4 or 2.34 the bigger number? Nearby, other students collaborate to solve a “math mystery.” All the while, Ms. Montano watches the time.

At 1:32 p.m., she presses a buzzer, sending students shuffling: “Ladies and gentleman, switch please!”

This is what pandemic recovery looks like at Benjamin Franklin Elementary in Meriden, Conn., where students are showing promising progress in math, a subject that was hit hard during the shift to remote learning, even more so than reading.

The school’s math progress may not look like much: a small improvement amounting to a single decimal point increase from spring 2019 to the spring of this year, according to state test results.

But by pandemic standards, it was something of a minor miracle, holding steady when test scores nationally have fallen, particularly among low-income, Black and Hispanic students, the children that Franklin serves. About three in four students at the school qualify for free or reduced lunch, and a majority are Hispanic, Black or multiracial.

The groundwork was laid before the pandemic, when Franklin overhauled how math was taught.

It added as much as 30 minutes of math instruction a day. Students in second grade and above now have more than an hour, and fourth and fifth graders have a full 90 minutes, longer than is typical for many schools. Students no longer have lessons dominated by a teacher writing problems on a white board in front of the class. Instead, they spend more time wrestling with problems in small groups. And, for the first time, children who are behind receive math tutoring during the school day.

Related: math forum audio and video

Discovery math

Connected math

Singapore math




Controversy Rages as California Follows SF’s Lead With New Approach to Teaching Math



Joe Hong:

At the heart of the wrangling lies a broad agreement about at least one thing:
The way California public schools teach math isn’t working. On national standardized tests, California ranks in the bottom quartile among all states and U.S. territories for 8th grade math scores.

Yet for all the sound and fury, the proposed framework, about 800-pages long, is little more than a set of suggestions. Its designers are revising it now and will subject it to 60 more days of public review. Once it’s approved in July, districts may adopt as much or as little of the framework as they choose — and can disregard it completely without any penalty.

“It’s not mandated that you use the framework,” said framework team member Dianne Wilson, a program specialist at Elk Grove Unified. “There’s a concern that it will be implemented unequally.”

K-12 Math links:

“Discovery math” (Seattle lawsuit)

What impact do high school mathematics curricula have on college-level math placement?

Connected Math.

Singapore Math

Math forum




“California is on the verge of politicizing K-12 math in a potentially disastrous way”



Signatories: 1,105 as of November 5, 2021

California is on the verge of politicizing K-12 math in a potentially disastrous way. Its proposed Mathematics Curriculum Framework is presented as a step toward social justice and racial equity, but its effect would be the opposite—to rob all Californians, especially the poorest and most vulnerable, who always suffer most when schools fail to teach their students. As textbooks and other teaching materials approved by the State would have to follow this framework and since teachers are expected to use it as a guide, its potential to steal a promising future from our children is enormous.

The proposed framework would, in effect, de-mathematize math. For all the rhetoric in this framework about equity, social justice, environmental care and culturally appropriate pedagogy, there is no realistic hope for a more fair, just, equal and well-stewarded society if our schools uproot long-proven, reliable and highly effective math methods and instead try to build a mathless Brave New World on a foundation of unsound ideology. A real champion of equity and justice would want all California’s children to learn actual math—as in arithmetic, algebra, geometry, trigonometry and calculus—not an endless river of new pedagogical fads that effectively distort and displace actual math. The proposed framework:

  • Promotes fringe teaching methods such as “trauma-informed pedagogy.” [ch. 2, p. 16]
  • Distracts from actual mathematics by having teachers insert “environmental and social justice” into the math curriculum. [ch. 1, p. 35]
  • Distracts from actual mathematics by having teachers develop students’ “sociopolitical consciousness.” [ch. 2, p. 39
  • Distracts from actual mathematics by assigning students—as schoolwork—tasks it says will solve “problems that result in social inequalities.” [ch. 7, p. 29
  • Urges teachers to take a “justice-oriented perspective at any grade level, K–12” and explicitly rejects the idea that mathematics itself is a “neutral discipline.” [ch. 2, p. 29
  • Encourages focusing on “contributions that historically marginalized people have made to mathematics” rather than on those contributions themselves which have been essential to the academic discipline of mathematics. [ch. 2, p. 31]
  • “Reject[s] ideas of natural gifts and talents” and discourages accelerating talented mathematics students. [ch. 1, p. 8]
  • Encourages keeping all students together in the same math program until the 11th grade and argues that offering differentiated programs causes student “fragility” and racial animosity. [ch.1, p. 15]
  • Rejects the longstanding goal of preparing students to take Algebra I in eighth grade, on par with high-performing foreign countries whose inhabitants will be future competitors of America’s children—a goal explicitly part of the 1999 and 2006 Math Frameworks. [ch. 9, p. 43]

We, the undersigned, disagree. Mathematics is a discipline whose language is universally accessible with good teaching. The claim that math is not accessible is an insult to the millennia of non-Western mathematicians and erases the contributions of cultures around the world to mathematics as we now know it. Large numbers of students in developing countries are currently succeeding in advanced mathematics, and American industries have been put in the position of having to encourage them to come to the United States to work.

K-12 Math links:

“Discovery math” (Seattle lawsuit)

What impact do high school mathematics curricula have on college-level math placement?

Connected Math.

Singapore Math

Math forum




America’s math curricular decline



The Economist:

America has a maths problem. Its pupils have ranked poorly in international maths exams for decades. In 2018, American 15-year-olds ranked 25th in the oecd, a club of mostly rich countries. American adults ranked fourth-from-last in numeracy when compared with other rich countries. As many as 30% of American adults are comfortable only with simple maths: basic arithmetic, counting, sorting and similar tasks. American employers are desperate for science, technology, engineering and mathematics skills: nuclear engineers, software developers and machinists are in short supply. And while pupils’ maths scores are bad enough now, they could be getting worse. On the National Assessment of Educational Progress (naep), a national exam, 13-year-old pupils’ scores dropped five points in 2020 compared with their peers’ in 2012. The status quo does not add up. But teachers and academics cannot agree on where to go next.

K-12 Math links:

“Discovery math” (Seattle lawsuit)

What impact do high school mathematics curricula have on college-level math placement?

Connected Math.

Singapore Math

Math forum




Proposed guidelines in California would de-emphasize calculus, reject the idea that some children are naturally gifted and build a connection to social justice. Critics say math shouldn’t be political.



Jacey Fortin:

If everything had gone according to plan, California would have approved new guidelines this month for math education in public schools.

But ever since a draft was opened for public comment in February, the recommendations have set off a fierce debate over not only how to teach math, but also how to solve a problem more intractable than Fermat’s last theorem: closing the racial and socioeconomic disparities in achievement that persist at every level of math education.

The California guidelines, which are not binding, could overhaul the way many school districts approach math instruction. The draft rejected the idea of naturally gifted children, recommended against shifting certain students into accelerated courses in middle school and tried to promote high-level math courses that could serve as alternatives to calculus, like data science or statistics.

The draft also suggested that math should not be colorblind and that teachers could use lessons to explore social justice — for example, by looking out for gender stereotypes in word problems, or applying math concepts to topics like immigration or inequality.

K-12 Math links:
“Discovery math” (Seattle lawsuit)
https://www.schoolinfosystem.org/?s=Discovery+math


What impact do high school mathematics curricula have on college-level math placement?

https://www.schoolinfosystem.org/pdf/2009/05/wollack_fishwmc2009.pdf

https://www.schoolinfosystem.org/?s=Connected+math

https://www.schoolinfosystem.org/?s=singapore+math

Math forum
https://www.schoolinfosystem.org/?s=Math+forum+audio+video




“Social Justice Math” & California



Joanne Jacobs:

California’s new Mathematics Curriculum Framework has become a political hot potato, reports Lawrence Richard on Yahoo News. The state education board will postpone a decision on implementation for 10 months in response to critics who charged it would “de-mathematize math” and prevent high achievers from taking advanced classes.

2007 Math Forum

Connected Math

Discovery Math

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

“An emphasis on adult employment”

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.




Replace the Proposed New California Math Curriculum Framework



Independent Institute:

California is on the verge of politicizing K-12 math in a potentially disastrous way. Its proposed Mathematics Curriculum Framework is presented as a step toward social justice and racial equity, but its effect would be the opposite—to rob all Californians, especially the poorest and most vulnerable, who always suffer most when schools fail to teach their students. As textbooks and other teaching materials approved by the State would have to follow this framework and since teachers are expected to use it as a guide, its potential to steal a promising future from our children is enormous.

The proposed framework would, in effect, de-mathematize math. For all the rhetoric in this framework about equity, social justice, environmental care and culturally appropriate pedagogy, there is no realistic hope for a more fair, just, equal and well-stewarded society if our schools uproot long-proven, reliable and highly effective math methods and instead try to build a mathless Brave New World on a foundation of unsound ideology. A real champion of equity and justice would want all California’s children to learn actual math—as in arithmetic, algebra, geometry, trigonometry and calculus—not an endless river of new pedagogical fads that effectively distort and displace actual math. The proposed framework:

2007 Math Forum

Connected Math

Discovery Math

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

“An emphasis on adult employment”

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.




The impact of a lack of mathematical education on brain development and future attainment



George Zacharopoulos, Francesco Sella & Roi Cohen Kadosh:

Formal education has a long-term impact on an individual’s life. However, our knowledge of the effect of a specific lack of education, such as in mathematics, is currently poor but is highly relevant given the extant differences between countries in their educational curricula and the differences in opportunities to access education. Here we examined whether neurotransmitter concentrations in the adolescent brain could classify whether a student is lacking mathematical education. Decreased γ-aminobutyric acid (GABA) concentration within the middle frontal gyrus (MFG) successfully classified whether an adolescent studies math and was negatively associated with frontoparietal connectivity. In a second experiment, we uncovered that our findings were not due to preexisting differences before a mathematical education ceased. Furthermore, we showed that MFG GABA not only classifies whether an adolescent is studying math or not, but it also predicts the changes in mathematical reasoning ∼19 mo later. The present results extend previous work in animals that has emphasized the role of GABA neurotransmission in synaptic and network plasticity and highlight the effect of a specific lack of education on MFG GABA concentration and learning-dependent plasticity. Our findings reveal the reciprocal effect between brain development and education and demonstrate the negative consequences of a specific lack of education during adolescence on brain plasticity and cognitive functions.

2007 Math Forum

Connected Math

Discovery Math

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

“An emphasis on adult employment”

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.




Why Do Americans Stink at Math?



Elizabeth Green:

When Akihiko Takahashi was a junior in college in 1978, he was like most of the other students at his university in suburban Tokyo. He had a vague sense of wanting to accomplish something but no clue what that something should be. But that spring he met a man who would become his mentor, and this relationship set the course of his entire career.

Takeshi Matsuyama was an elementary-school teacher, but like a small number of instructors in Japan, he taught not just young children but also college students who wanted to become teachers. At the university-affiliated elementary school where Matsuyama taught, he turned his classroom into a kind of laboratory, concocting and trying out new teaching ideas. When Takahashi met him, Matsuyama was in the middle of his boldest experiment yet — revolutionizing the way students learned math by radically changing the way teachers taught it.

Instead of having students memorize and then practice endless lists of equations — which Takahashi remembered from his own days in school — Matsuyama taught his college students to encourage passionate discussions among children so they would come to uncover math’s procedures, properties and proofs for themselves. One day, for example, the young students would derive the formula for finding the area of a rectangle; the next, they would use what they learned to do the same for parallelograms. Taught this new way, math itself seemed transformed. It was not dull misery but challenging, stimulating and even fun.

2006: Math Forum audio video

Discovery Math

Connected Math




Commentary on Virginia’s planned advanced math course reductions



Caroline Downey:

Democratic Virginia state Senator J. Chapman Petersen is one of many parents voicing concerns about a new racial equity push that would eliminate certain advanced placement classes in the state’s mathematics curriculum.

The Virginia Mathematics Pathway Initiative (VMPI) would replace the traditional mathematics progression of Algebra 1, Geometry, and Algebra 2 courses with courses that teach so-called “essential” topics. Under the plan, all students would take the same courses through the tenth grade but would then be allowed to enroll in classes that correspond with their post-graduation career plans.

A major goal of the VMPI is to combat disparities in educational outcomes between racial and ethnic minorities. However, many Northern Virginia parents are mobilizing to reject the program, claiming that the new “pathway” will inhibit higher-achieving students and discourage academic exploration and performance among all kids, including the racial minorities the program is designed to help.

Related: Connected Math Discovery Math




There Is No Such Thing as “White” Math



Sergiu Klainerman:

I am not at all qualified to introduce today’s guest writer, Sergiu Klainerman.

I barely eked out a C+ in high school calculus, while Sergiu is a professor of mathematics at Princeton who specializes in the mathematical theory of black holes. He’s been a MacArthur fellow, a Guggenheim fellow and is a member of the National Academy of Sciences 

Mathematics allowed a young Sergiu, who came of age in Ceausescu’s Romania, to escape to a world where right and wrong couldn’t be fudged, and, ultimately, to a life of freedom in the United States. Without math, his life quite literally would not have been possible.

In the piece below he explains how activists are destroying his discipline in the name of progress. Worse, they are robbing poor children of the opportunity to raise themselves up by mastering it — with untold effects on all of us.

Math, with its seemingly unbiased tools — 2 + 2 always equals 4 — has presented a problem for an ideological movement that sees any inequality of outcome as evidence of systemic bias. The problem cannot be that some kids are better at math, or that some teachers are better at teaching it. Like so much else, the basic woke argument against math is that it is inherently racist and needs to be made antiracist. That is accomplished by undermining the notion of right and wrong answers, by getting rid of the expectation that students show their work, by referring to mathematical testing tools as racist, and by doing away with accelerated math classes.

If that sounds like a caricature, I urge you to read this whole document, funded by the Bill and Melinda Gates Foundation, which Sergiu writes about below. As the linguist John McWhorter put it in a powerful piece published yesterday: “to distrust this document is not to be against social justice, but against racism.”

Sergiu wrote me in an email that the situation in his field reminds him of this line from Thomas Sowell: “Ours may become the first civilization destroyed, not by the power of enemies, but by the ignorance of our teachers and the dangerous nonsense they are teaching our children. In an age of artificial intelligence, they are creating artificial stupidity.”

This week, as promised, is education week. Like Shark Week! But dorkier. And, I hope, far more important. This is our first installment.

I’m pleased to publish Sergiu Klainerman:

In my position as a professor of mathematics at Princeton, I have witnessed the decline of universities and cultural institutions as they have embraced political ideology at the expense of rigorous scholarship. Until recently — this past summer, really — I had naively thought that the STEM disciplines would be spared from this ideological takeover.

I was wrong. Attempts to “deconstruct” mathematics, deny its objectivity, accuse it of racial bias, and infuse it with political ideology have become more and more common — perhaps, even, at your child’s elementary school.

This phenomenon is part of what has been dubbed “The Great Awokening.” As others have explained powerfully, the ideology incubated in academia, where it indoctrinated plenty of bright minds. It then migrated, through those true believers, into our important cultural, religious and political institutions. Now it is affecting some of the country’s most prominent businesses.

Unlike the traditional totalitarianism practiced by former communist countries, like the Romania I grew up in, this version is soft. It enforces its ideology not by jailing dissenters or physically eliminating them, but by social shaming, mob punishment, guilt by association, and coerced speech.

When it comes to education, I believe the woke ideology is even more harmful than old-fashioned communism.

Communism had a strong sense of objective reality anchored in the belief that humans are capable of discovering universal truths. It forcefully asserted, in fact, the absolute truth of dialectic materialism, as revealed by its founders Marx, Engels and Lenin. Communist ideology held science and mathematics in the highest regard, even though it often distorted the former for doctrinal reasons. 

Mathematics was largely immune to ideological pressure, and thus thrived in most communist countries. Being skilled in math was a source of great societal prestige for school children. And it was a great equalizer: those from socioeconomically disadvantaged families had a chance to compete on equal footing with those from privileged ones.

Related:

Math Forum audio / video

Connected Math

Discovery Math




What is the place for African Americans in the ‘new’ Madison?



Blacks for Political and Social Action of Dane County, Inc.:

In the midst of these challenges, the Madison Metropolitan School District heard its superintendent-designee, Matthew Gutiérrez, was rescinding his acceptance of the position to remain as superintendent of the Seguin, Texas school district. This lack of a permanent superintendent can have an incredibly negative impact on African American students. The initiative known as “Black Excellence” began under the leadership of former superintendent Jennifer Cheatham. Cheatham has been gone for almost a year. Nothing about the current leadership suggests that Black Excellence is a district priority. African American children in Wisconsin experience the widest achievement disparities in the nation in reading and mathematics. Our eighth graders are performing 47 points below their White counterparts in mathematics. Our fourth graders are performing 39 points below their White counterparts in reading. Where is the collective outrage over these disparities? Who on the current school board is demanding improvement?

The racial problems of MMSD run long and deep: Issues of achievement, disproportionate assignment to special education, lack of access to honors and advanced placement classes, disproportionate levels of suspensions and expulsions, and disproportionate graduation rates (59% Black vs. 88% White). In the midst of this there is an inverse relationship between the percentage of teachers of color and that of students. Eighty-eight percent of the teachers are White in a district with a student population that is 43% White. And, we have had repeated instances of White teachers using racial epithets and other disrespect toward Black students and their parents (e.g. a White teacher mistakenly sent a text to a Black parent about how the parent and her child were so dumb).

African Americans in Madison have been more than patient when it comes to improving their status — education, employment, housing, and every other measure of health and well-being. There have been over 40 years of reports, task forces and initiatives. Post-pandemic Madison will be a “new” Madison. We have learned a lot in the midst of crisis. We know that far too many of our community members are one paycheck away from poverty — loss of housing, food, health care, childcare, schooling, etc. What is the place for African Americans in this new Madison?

Related, Madison K-12 experiments:

English 10

Small Learning Communities

Reading Recovery

Connected Math

Discovery Math

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results




The Unexamined Model Is Not Worth Trusting (We know best…)



Chris von Csefalvay:

In early March, British leaders planned to take a laissez-faire approach to the spread of the coronavirus. Officials would pursue “herd immunity,” allowing as many people in non-vulnerable categories to catch the virus in the hope that eventually it would stop spreading. But on March 16, a report from the Imperial College Covid-19 Response Team, led by noted epidemiologist Neil Ferguson, shocked the Cabinet of the United Kingdom into a complete reversal of its plans. Report 9, titled “Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand,” used computational models to predict that, absent social distancing and other mitigation measures, Britain would suffer 500,000 deaths from the coronavirus. Even with mitigation measures in place, the report said, the epidemic “would still likely result in hundreds of thousands of deaths and health systems (most notably intensive care units) being overwhelmed many times over.” The conclusions so alarmed Prime Minister Boris Johnson that he imposed a national quarantine.

Subsequent publication of the details of the computer model that the Imperial College team used to reach its conclusions raised eyebrows among epidemiologists and specialists in computational biology and presented some uncomfortable questions about model-driven decision-making. The Imperial College model itself appeared solid. As a spatial model, it divides the area of the U.K. into small cells, then simulates various processes of transmission, incubation, and recovery over each cell. It factors in a good deal of randomness. The model is typically run tens of thousands of times, and results are averaged—a technique commonly referred to as an ensemble model.

In a tweet sent in late March, Ferguson—then still one of the leading voices within the U.K.’s Scientific Advisory Group for Emergencies (SAGE), tasked with handling the coronavirus crisis—stated that the model was implemented in “thousands of lines of undocumented” code written in C, a widely used and high-performing computing language. He refused to publish the original source code, and Imperial College has refused a Freedom of Information Act request for the original source, alleging that the public interest is not sufficiently compelling.

As Ferguson himself admits, the code was written 13 years ago, to model an influenza pandemic. This raises multiple questions: other than Ferguson’s reputation, what did the British government have at its disposal to assess the model and its implementation? How was the model validated, and what safeguards were implemented to ensure that it was correctly applied? The recent release of an improved version of the source code does not paint a favorable picture. The code is a tangled mess of undocumented steps, with no discernible overall structure. Even experienced developers would have to make a serious effort to understand it.

I’m a virologist, and modelling complex processes is part of my day-to-day work. It’s not uncommon to see long and complex code for predicting the movement of an infection in a population, but tools exist to structure and document code properly. The Imperial College effort suggests an incumbency effect: with their outstanding reputations, the college and Ferguson possessed an authority based solely on their own authority. The code on which they based their predictions would not pass a cursory review by a Ph.D. committee in computational epidemiology.

Related, Madison K-12 experiments:

English 10

Small Learning Communities

Reading Recovery

Connected Math

Discovery Math

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results




International Math Competition Defeat Prompts Soul Searching in China



Charlotte Yang:

Chinese high school students generally outperform their western peers at math — at least, that’s what many in the country believe.

That assumption was shattered Monday, when China placed a mediocre sixth at the 2019 Romanian Master of Mathematics (RMM), a major math competition for pre-university students. The U.S. won the championship for best team, while the highest individual prize went to an Israeli candidate.

Math competitions like the RMM are serious business in China, where participation can give students a leg up in university admissions.

China’s defeat on Monday prompted social media users to ask if recent Ministry of Education curbs on math competitions were misguided.

Since the ministry requested that universities limit preferential admissions for math competition participants, interest in the subject has fallen, one Weibo user said, in a comment that received 2,200 likes.“Chinese parents still take a utilitarian approach toward education.”

Others said the government should avoid a one-size-fits-all approach and encourage participation from truly talented students.

Related: Connected math

Singapore Math

Discovery Math

Math Task Force




Math from Three to Seven



Math from Three to Seven:

A question of culture

When I was a grad student at UC Berkeley (in the late 1980s), it was under- stood, among my American classmates, that the Eastern Europeans were simply better. They weren’t genetically superior; indeed, many of my Amer- ican classmates, myself included, were themselves descended from Eastern European immigrants. And we knew that we weren’t stupid. Many of us had excelled at mathematical olympiads, even at the international level. But at Berkeley, the Eastern Europeans — students and faculty alike — were known for their intensity.

American-dominated seminars might last for one polite hour; in contrast, a Russian or Rumanian seminar would go on for an entire argumentative evening. Some of us joked that the Russians really came from the planet Krypton, attaining super powers when they came to live among us.

All joking aside, we fledgling mathematicians understood that the single most important thing was not raw intelligence or knowledge (Americans tend to lag behind in the latter compared to all international students). What mattered was passion. The way to become successful in mathematics, like almost every endeavor, is to care about it, to love it, to obsess over it. And in this, Eastern Europeans had a clear superiority, a cultural advantage. They had been trained, from an early age, to love mathematics more intensely.

For many years, dating from at least the Sputnik era, America has suf- fered from an educational inferiority complex. We try to catch up, hunting for the secret ingredients that other nations use. Should we adopt the Sin- gapore curriculum? Put our kids in after-school Kumon programs? Teach them meditation? Yoga?

There’s nothing wrong with any of this; examining the practices of oth- ers’ is bound to be enriching. But it’s not the ingredients that really matter.

There is no single magical special sauce. What you need is a culture of in- tellectual inquiry, and one that fits.

Related: Math Forum.

Discovery Math

Connected Math

Singapore Math




Just teach my kid the math



James Tanton:

It is astounding to me that mathematics – of all school subjects – elicits such potent emotional reaction when “reform” is in the air. We’ve seen the community response to the Common Core State Standards in the U.S., the potency of the Back to Basics movement in Alberta, Canada, and the myriad of internet examples of the absolute absurdity of “new math.”

At face value, the strong reactions we see can be interpreted as paradoxical. Parents might openly admit they themselves did not understand mathematics, that they actively hate mathematics even, but insist that we don’t dare do anything different for their child in math class! Parents’ befuddlement over their child’s third-grade homework might be seen as a wrong of the new curriculum, not as evidence of the failing of their own mathematics education, that they weren’t provided the flexibility and agility of thought to see simple arithmetic in multiple lights.

It seems that previous generations were seduced to equate familiarity with understanding. For instance, our standard arithmetic algorithms are somewhat bizarre – they are the end result of a human process of codifying arithmetical thinking, designed with the extra goal of using as little of precious 17th-century ink as possible. But if one does them often enough, their routine begins to feel comfortable and familiar.

Related: Math Forum

Connected math

Discovery Math

Singapore Math




13 Baltimore City High Schools, zero students proficient in math



Chris Papst:

Project Baltimore analyzed 2017 state test scores released this fall. We paged through 16,000 lines of data and uncovered this: Of Baltimore City’s 39 High Schools, 13 had zero students proficient in math.

Digging further, we found another six high schools where one percent tested proficient. Add it up – in half the high schools in Baltimore City, 3804 students took the state test, 14 were proficient in math.

Related: Math Forum

Connected Math

Discovery Math

Singapore Math




How Silicon Valley Plans to Conquer the Classroom



Natasha Singer & Danielle Ivory:

Silicon Valley is going all out to own America’s school computer-and-software market, projected to reach $21 billion in sales by 2020. An industry has grown up around courting public-school decision makers, and tech companies are using a sophisticated playbook to reach them, The New York Times has found in a review of thousands of pages of Baltimore County school documents and in interviews with dozens of school officials, researchers, teachers, tech executives and parents.

Related: Madison’s long term, disastrous reading results and

Math Forum

Connected Math

Discovery Math

Singapore Math

Reading Recovery




Madison Teacher / Student Relationships and Academic Outcomes?



Karen Rivedal:

“Kids aren’t going to be able to take risks and push themselves academically, without having a trusting support network there,” said Lindsay Maglio, principal of Lindbergh Elementary School, where some teachers improved on traditional get-to-know-you exercises in the first few weeks of school by adding more searching questions, and where all school staff are engaged in community-building lessons in small-group sessions with students taking place at set periods throughout the year.

While noting that getting to know their students is already “something we do feel strongly about,” fourth-grade teacher Beth Callies, now in her 11th year at Lindbergh, said she saw value in a districtwide strategy emphasizing it. “It’s a good push to remind us,” Callies said.

Beyond asking her students to describe themselves through traditional questions such as choosing what animal or what TV show they would like to be, and where they would like to take a vacation and why, Duernberger also invited them to free-associate this year by responding to the line: “I wish my teacher knew this about me.”

Common ground
The students’ answers, which they also read to each other in a follow-up exercise, were as varied as their life stories. Students said they liked to go camping, had two brothers, worked hard, could read-upside down, and had two dogs at home before mom gave one away.

Teachers have been encouraged to mine a book by educator Zaretta Hammond known as “Culturally Responsive Teaching and the Brain” for new techniques and deeper understanding of the issue. At Lindbergh, Maglio built time into the school day for all staff to meet once a week for 40 minutes with students in small groups “to build community and work on trust,” with possible lessons on topics such as resolving conflicts or bullying.

“It’s really based off the issues that kids are having, so there’s not a set structure (for the weekly sessions),” Maglio said. “We just need to think about being more purposeful in how we plan for all our students. It might be working for 80 percent of students, but we need to think more about the ones we may be struggling to reach.”

Madison has long tolerated disastrous reading results, despite spending more than most – now nearly $20,000 per student.

Math Forum

Connected Math

Discovery Math

Singapore Math

Reading Recovery




Déjà vu: Madison elementary school students explore the district’s new math curriculum



Amber Walker:

MMSD highlighted the success of the new math curriculum in its annual report, released last July. The report said the first cohort of schools using Bridges saw an eight-point increase in math proficiency scores and nine-point gains in math growth in one school year on the spring Measures of Academic Progress (MAP) exam for third through fifth grade students.

By comparison, fifth grade MAP proficiency scores across the district increased eight points in the last four years.

“(Bridges) focuses on developing the students’ understanding of math concepts,” Davis said. “It is not about how students can memorize certain skills, but really around their ability to problem solve and look at math in more complex ways…and explain their reasoning to their teachers and peers.”

Related (deja vu):

Connected Math

Discovery Math

Math task force

Math forum

Singapore Math

Stretch targets




(2009) What impact do high school mathematics curricula have on college-level mathematics placement?



James Wollack
and Michael Fish:

Major Findings

  • CORE-Plus students performed significantly less well on math placement test and ACT-M than did traditional students
  • Change in performance was observed immediately after switch
  • Score trends throughout CORE-Plus years actually decreased slightly

    Inconsistent with a teacher learning-curve hypothesis

  • CORE-AP students fared much better, but not as well as the traditional-AP students

    Both sample sizes were low

2012: “An increasing number of freshmen in the UW System need remedial math when they start college, according to UW officials.”

2014: “

The UW’s freshman math remediation rate of 21% is below the national average of 25% to 35%, according to Cross.

UW Regent Jose Vasquez bristled at the UW System taking on “a problem that is really our cohort’s problem,” referring to K-12. “The problem was not created by the university and I’m not convinced we can solve it within the university.”

He advocated earlier intervention in high school.

Related: Math Forum audio/video.

Discovery Math

Connected Math

Singapore Math

Core Plus

and: Foundations of Reading Results (Wisconsin Education Schools), or MTEL arrives.




Ortega y Gasset and You Tube



John Minehan

Professor Vlahos concludes that elites (which he defines more broadly than “the One Percent”) are acting to their own advantage, as elites have done in other times moving towards the point when things fell apart (for example, at the end of Classical times in 6th through the 8th Centuries or after the Black Death in the 14th Century or after the World Wars in the 20th Century).

He further thinks that over what could be a long period of time our current elites have set the stage, by monopolizing resources, for a catastrophic event (perhaps climate change) to change how the cards are dealt.

Professor Vlahos came to that conclusion while teaching graduate courses on how global systems subside. He states that he initially focused on climate change, but came to see such events (like the, probably climate related, Plague of Justinian in the 6th Century) as being a trigger for a course of events that were already in trail.

There have been thinkers who have considered these matters before.

In 1930, the Spanish philosopher, José Ortega y Gasset, published a book called The Revolt of the Masses, which dealt with the “mass-ification” of society, which included “señorito satisfecho” (“Little Mr. Satisfied” or the bureaucrat).

In 1995, the late historian, Christopher Lasch, wrote a book called The Revolt of the Elites, which presciently predicted the perception on the part of many Americans that elites “‘dangerously isolated’ from the rest of the country” mind set and lacked a sense of “noblesse oblige.”

I am vastly less qualified than the people I have cited, but let me offer my own opinion.

English 10, connected math and discovery math.




Deja Vu: Madison School District Agreement with the US ED Office of Civil Rights



Last October, Madison Superintendent Jen Cheatham signed a resolution agreement with the U.S. Department of Education’s Office for Civil Rights regarding OCR’s compliance review of access to advanced coursework by Hispanic and African-American students in the District. The resolution agreement was presented at the December 5, 2016 Instruction Workgroup meeting (agenda item 6.1):
http://www.boarddocs.com/wi/mmsd/Board.nsf/goto?open&id=AFL2QH731563

The description of the resolution agreement by Dylan Pauly & Jen Cheatham starts around 2 (h) 16 (m)
https://www.youtube.com/watch?v=iaW0YclXc8c&feature=em-share_video_user

The OCR resolution agreement was included on the agenda (item 9.3) of the December 12, 2016 full board meeting as part of the Instruction Workgroup “report out” without discussion.

When OCR does a compliance review, it issues a resolution letter to the subject institution which describes OCR’s review and OCR’s findings. The resolution agreement (signed by the institution) then sets forth what the institution agrees to do to address the issues in the resolution letter.

Adele Rapport (PDF), via a kind reader:

According to the Superintendent, the District did not have a unified cuniculum prior to the 2013-201 4 school year. The Distiict recently reported to OCR that it is implementing “a multi-year, multi-phased plan to engage in course alignment. The end result will be courses that share a common course plan, common titles and course descriptions in the high school course guides, syllabi using common templates and common end-of-course summative assessments.” As summarized below. the District’s cum~nt approach to AL services is the product of several programs and initiatives as well as a recently concJuded audit by WDPI.

In 2008 The District received a $5.3 million Smaller Learning Communities grant from the Department. With these funds the District began, in its words, “to rethink and reconceptualize the high school experience.” As a result of this process, the Distri<.:t in October 2010 announced the "Dual Pathways Plan," with goals that included aligning the curriculum among all four high schools: closing the achievement gap between white students and students of color: and remedying what the District concedes was unequal access for students to advanced courses. The District proposed we meet these goals by implementing two different pathways for high school students: a "preparatory pathway" and an "accelerated pathway". In March, 2011, The WDPI concluded an investigation of the District's TAG program by determining that the District had failed to comply with four State of Wisconsin requirements for TAG programs: (1) establish a TAG plan and hire a TAG coordinator: (2) identify TAG students in multiple domain areas, including intellectual, academic, creative. leadership and the arts: (3) provide access to TAG programming without cost and allow parents to participate in identification and programming. The District subsequently adopted and implemented a corrective action plan to address findings of WDPI's audit. On February 6, 2015, WDPI concluded monitoring the implementation of the District's corrective action plan, finding the District in compliance with all relevant statutory requirements for TAG programs in Wisconsin. Also in 2011, in response to unfavorable feedback from parents and community members regarding the Dual Pathways proposal, the District modified the proposal and enacted a more modest series of reforms focusing on curriculum alignment. The District began to scale back its use of prerequisites for advanced high school courses, implementing a system of "recommended skills and experiences." The District also increased its advanced course offerings for the ninth and tenth grade, and expanded its assessment of elementary and middle school students for advanced kaming opportunities by broadening its reliance on qualitative factors like teacher recommendations. ...... The District offers honors ond AP courses to provide enriched academic opportunities for students. The District does not offer an International Baccalaureate program. Students can take honors courses at the middle school level, and both honors and AP courses at the high school level. None of the high schools offers weighted grades or credits for honors or AP courses. The District's offoring of honors and AP courses varies among schools, and neither the alternative high school (Shabazz City High School) nor the non-traditional high school (Innovative and Alternative Education) which focuses on expeliential learning, offers such courses. The District offored 13 different AP courses in multiple sections during the 2013-14 school year and 24 different AP courses during the 2015-16 school year. Recognizing that its AP course offerings vary across its four high schools, the District recently completed a three-year plan for course vetting and course alignment that includes AP coursework. Pursuant to this plan, the District plans to standardize across all four high schools AP courses that do not have prerequisites. In addition, the Dist1ict's Director of CuITiculum and Instruction said the District has the goal to have a standard set of AP courses across all four high schools: the schools will not necessarily offer all of the same courses, but the AP courses each offers will be drawn from the same set of AP courses. The District will gauge student interest in AP courses in deciding where to offer the courses. However, the District will ensure that core AP courses such as Physics and English will be offered at all four high schools. The AL Direclor noted that a first step in offering higher level math courses at all high schools is to ensure that Algebra 1 is the same at all school. The Director of Curriculum and Management confirmed that the District is realigning the math curriculum. ...... The magnitude of the racial disparity in AP enrollment is worse for math and science AP courses. There were only 18 math and 17 science AP enrollments by African-American students, a rate of 1.2 math and 1.1 science AP enrollments per 100 African-American students. There were only 44 math and 38 science AP enrollments by Hispanic students, a rate of 3.9 math and 3.3 science AP enrollments per 100 Hispanic students. By comparison, there were 526.5 math and 368 science AP enrollments by white students, a rate of 14.9 math and 10.4 science AP enrollments per 100 white students. Thus, in the 2013-14 school year, enrollments by white students in AP math and AP science courses were 12.4 and 9.5 times greater respectively, than enrollments by African-American students, and 3.8 and 3.2 times greater, respectively, than enrollmentw by Hispanic students. ...... Further the data provided by the District show that there was underepresentation of African American and Hispanic students in AP courses at each high school in the District. During the 2013-2014 school year, the disparity between African-American students' participation and all other students' participation was statistically significant in 12 of 15 AP courses offered at East High School, 5 of 13 courses at LaFollette High School, 13 of 17 courses at Memorial High School and 9 of 14 courses at West High School. The disparity between Hispanic student enrollment and all other students' enrollment was statistically significant in 2 of 15 AP courses offered at East High SchooL 0 of 13 courses at LaFollette High School. 6 of 17 courses at Memorial High School and 8 of 14 courses at West High School. In addition. African-American students underrepresentation in AP math ws statistically significant in all 12 of the AP math offerings that were offered at every District high school (in the three courses of Calculus AB, Calculus BC and Statistics) and Hispanic students underrepresentation in AP math was statistically significant in 3 of the same 12 AP math offerings. As for participation in AP science, African-American students' underrepresentation was statistically significant in 8 of 12 offerings of AP science (in the three courses of Physics C, Chemistry, Biology and Environmental Science), and Hispanic students' underrepresentation was statistically significant in 3 of the same 12 AP science offerings.

Related:

TAG Complaint

Small Learning Communities English 10

Connected Math

Discovery Math

Reading Recovery

Math Forum Math Task Force

2005: When all third graders read at grade level or beyond by the end of the year, the achievement gap will be closed…and not before

Madison’s Long Term, Disastrous Reading Results.




K-12 Math Rigor? Are High School Graduates Capable Of Basic Cost/Benefit Calculations…



Kevin Carey:

The problem, from a regulatory standpoint, is that they borrow a lot of money to obtain the degree — over $78,000 on average, according to the university. The total tuition is $62,593. And because it’s a graduate program, students can also borrow the full cost of their living expenses from the federal government, regardless of their credit history.

After accounting for basic living expenses, the average Harvard A.R.T. Institute graduate has to pay 44 percent of discretionary income just to make the minimum loan payment.

PDF Report link.

Related: Math Forum audio/video

Connected Math

Discovery Math

Singapore Math

Madison’s 2009 (!) Math Task Force

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

DEJA VU: REPORT OF THE 1965 MADISON SCHOOL DISTRICT MATH 9 TEXTBOOK COMMITTEE.

More regulation simply makes things worse. Why not make sure that students can adequately assess the cost and benefits of their choices?




Big bang for just a few bucks: The impact of math textbooks in California



Cory Koedel and Morgan Polikoff, via a kind Dan Dempsey email:

Textbooks are one of the most widely used educational inputs, but remarkably little is known about their effects on student learning. This report uses data collected from elementary schools in California to estimate the impacts of mathematics textbook choices on student achievement. We study four of the most popular books in the state from 2008-2013 and find that one—Houghton Mifflin California Math—consistently outperforms the other three. The superior performance of California Math persists up to four years after adoption and shows up in grades 3, 4, and 5.

The textbook impacts we identify are educationally meaningful and come at an extremely low cost. With regard to cost, textbooks are relatively inexpensive and tend to be similarly priced. The implication is that the marginal cost of choosing a more effective textbook over a less effective alternative is essentially zero. In terms of achievement impacts, our findings suggest non-trivial gains in student achievement are attainable simply by choosing more effective curriculum materials. The effect sizes we document are on par with what one could expect from a hypothetical policy that substantially increases the quality of the teaching workforce. But whereas there is much uncertainty about whether commensurate increases in teacher quality are attainable, and how they might be attained—at least in the near term—choosing a more effective textbook is a seemingly straightforward policy option for raising student achievement.

A critical factor limiting the capacity of school administrators to choose more effective textbooks is that there is virtually no evidence on how different textbooks affect student achievement. The fundamental problem limiting the development of an evidence base is that very few states track school and district textbook adoptions. This point bears repeating: most states do not know which curriculum materials are being used in which schools and districts. Without these data, it is not possible to perform evaluations of textbook efficacy. Thus, in most states, decisionmakers who wish to incorporate into their adoption decisions evidence on how textbooks affect student achievement are simply out of luck.

…..

Our work makes several important contributions. First, we have assembled a dataset of textbook adoptions in California, the largest U.S. state with the greatest number of schools. We have received funding to continue collecting these data moving forward. We will continue to analyze the data and go on to study other subjects and other grades. We also plan to make the data available to interested researchers so that others can pursue new lines of inquiry. There are many questions in this area of great import that do not have to do with impacts on student achievement—
for instance, is there equitable access to current curriculum materials? How do charter and traditional public schools differ in their adoption patterns? We hope these newly available data can spawn a new wave of data-driven research on textbook adoptions and their effects. The current research literature is sorely lacking in quantitative analyses of textbooks in schools.

Second, our work again demonstrates a method (previously demonstrated by Bhatt, Koedel, and Lehmannxiv) that can be applied in other states, grades, and subjects. We believe at this point that the method is suf ciently well developed that it can be widely applied. By doing this—studying textbook effects across multiple settings—we can begin to develop a better understanding of what is working, where, and for whom. In addition to California, we have collected data on textbook adoptions in Texas, Illinois, New York, and Florida. Whether the data we have are suf ciently complete to allow this kind of investigation in each setting is unclear, but we will try.

PDF Report link.

Related: Math Forum audio/video

Connected Math

Discovery Math

Singapore Math

Madison’s 2009 (!) Math Task Force

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

DEJA VU: REPORT OF THE 1965 MADISON SCHOOL DISTRICT MATH 9 TEXTBOOK COMMITTEE.




Madison School District Middle School Math Specialist Program



Madison School District Administration (PDF):

Project Description: MMSD has provided funding to support coursework in the content and teaching knowledge of middle school teachers of math. Toward that goal, a partnership was formed back in 2010 between the District, the UW-Madison School of Education, the UW- Madison Department of Mathematics, and the University of Wisconsin Extension – Office of Education Outreach and Partnerships. MMSD will continue this for the 2016-17 school year and continue to offer math coursework for teachers to participate. The courses consists of a five course sequence (Number, Ratio, Geometry, Algebra, and Experimentation, Conjecture & Reasoning) with two courses being offered each semester. MMSD will continue to provide some financial support for teachers in each class with priority determined by; 1) middle school teacher working with an existing condition of employment, 2) middle school math teachers, and 3) teachers who began the program in previous years.

NOTE: There is a significant reduction in the estimate of this program from the 2015-2016 school year to the 2016-2017 school year. As a reminder, the change for this program and financial support moving forward was shared with the Board April 2016. The model continues the five course MSMS Program using non-credit courses for teachers currently enrolled in the program. This reduces the annual operating budget to $27,000. In addition, the full-time Math teacher leader’s responsibilities have been repositioned to provide support and professional development for middle school math teachers and for algebra teachers.

Talent management has been working with principals to select best candidates for current and future hiring. Middle school math teachers are now provided with standards aligned curricular resources and job embedded coaching.

Related: Singapore Math, Math Forum, Connected Math, Discovery Math.

Madison School District Administration (PDF):

The University of Wisconsin System is exempt from complying with the requirements of the District’s Contract Compliance Plan.




The Economist’s Washington correspondent wonders why his offspring are being taught swimming so well and maths so badly



James Astill:

Yet my children’s experience of school in America is in some ways as indifferent as their swimming classes are good, for the country’s elementary schools seem strangely averse to teaching children much stuff. According to the OECD’s latest international education rankings, American children are rated average at reading, below average at science, and poor at maths, at which they rank 27th out of 34 developed countries. At 15, children in Massachusetts, where education standards are higher than in most states, are so far behind their counterparts in Shanghai at maths that it would take them more than two years of regular education to catch up.

This is not for lack of investment. America spends more on educating its children than all but a handful of rich countries. Nor is it due to high levels of inequality: the proportion of American children coming from under-privileged backgrounds is about par for the OECD. A better reason, in my snapshot experience of American schooling, is a frustrating lack of intellectual ambition for children to match the sporting ambition that is so excellently drummed into them in our local swimming pool and elsewhere.

My children’s elementary school, I should say, is one of America’s better ones, and in many ways terrific. It is orderly, friendly, well-provisioned and packed with the sparky offspring of high-achieving Washington, DC, commuters. Its teachers are diligent, approachable and exude the same relentless positivity as the swimming instructors. We feel fortunate to have them. Yet the contrast with the decent London state school from which we moved our eldest children is, in some ways, dispiriting.

After two years of school in England, our six-year-old was so far ahead of his American peers that he had to be bumped up a year, where he was also ahead. This was partly because American children start regular school at five, a year later than most British children; but it was also for more substantive reasons.

Related: Connected Math, Discovery Math and the Math Forum (audio and video).

Reading requires attention as well. (MTEL)

Locally, Madison has long tolerated disastrous reading results despite spending more than most, now around $18k per student.

And, National Council on teacher quality links are worth a look.




It’s Time to Turn the Page on Math in Seattle Schools



Rick Burke:

Days are getting longer, the weather is warmer. The smell of spring is in the air. But if you inhale deeply down by JSCEE, there’s another smell. It’s the smell of math. After years of sideways movement, the stars are aligned for systemic changes to math instruction in Seattle Public Schools.
When you look at Seattle kids’ math achievement against other urban districts, Seattle might seem to be doing OK. As a district-level statistic, we’re not too bad. But closer inspection of disaggregated data and the view from inside the system prompt a cry for help. Seattle still has a large number of struggling students and a persistent achievement gap which we can’t shake. Outside tutoring has become commonplace, with math as the most frequent remediation subject. However, recent national and state developments have identified common ground and outcome-proven methods which can serve as a model for Seattle.
This brings us around to a community support initiative for math education. Seattle has a math-focused School Board, and Seattle’s new superintendent, Jose Banda, came to Seattle from proven math success with a diverse student population in Anaheim. Recent news reports are that staff at JSCEE are planning a K-8 math instructional materials adoption soon. Examples of success are scattered through Seattle classrooms and it’s time for those successes to take root across the district.

Related: Math forum audio/video and Seattle’s “Discovery Math” lawsuit.




Appeals court sides with Seattle schools over math text choice



Katherine Long:

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.

Much more on the Seattle Discovery Math lawsuit, here.




Lack of fiscal discipline in Seattle Public Schools



Lynne Varner:

The latest state audit of Seattle Public Schools didn’t tell me anything I didn’t already know: The district is stuck in a culture of lax indifference when it comes to taxpayers’ money.
Despite the last decade’s phalanx of highly paid budget and money managers overseeing the district, few inroads have been made in transforming this culture.
Let’s start with the audit’s biggest discovery for the 2008-09 school year. The district overpaid at least 83 employees to the tune of $228,860. The district says the number of accidentally overpaid employees could be as high as 144.
Repayment plans have been set up for most of the employees. But others left the district, requiring costly measures, including collection agencies, to recover the money. Expect this debacle to reverberate as tax implications and impacts to the state retirement system unfold.

There’s a great deal of citizen activism underway in Seattle, including: a successful lawsuit that overturned the District’s adoption of Discovery Math, a recall drive for 5 of the 7 school board members and a lawsuit regarding the New Student Assignment Plan. Melissa Westbrook offers additional comments.
Spending and governance questions are not unique to Seattle.




School Districts vs. A Good Math Education



Charlie Mas:

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.

Related: Math Forum audio / video.




Lawsuit Challenging the Seattle School District’s use of “Discovering Mathematics” Goes to Trial



Martha McLaren, DaZanne Porter, and Cliff Mass:

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.

Associated Press:

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.

Cliff Mass:

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 Politics of K-12 Math and Academic Rigor



The Economist:

Look around the business world and two things stand out: the modern economy places an enormous premium on brainpower; and there is not enough to go round.
But education inevitably matters most. How can India talk about its IT economy lifting the country out of poverty when 40% of its population cannot read? [MMSD’s 10th Grade Reading Data] As for the richer world, it is hard to say which throw more talent away—America’s dire public schools or Europe’s dire universities. Both suffer from too little competition and what George Bush has called “the soft bigotry of low expectations”.

Thursday’s meeting between Madison School Superintendent Art Rainwater, the MMSD’s Brian Sniff and the UW Math department included two interesting guests: UW-Madison Chancellor John Wiley [useful math links via the Chancellor’s website] and the Dean of the UW-Madison Education School. Wiley and the Ed School Dean’s attendance reflects the political nature of K-12 curriculum, particularly math. I’m glad Chancellor Wiley took time from his busy schedule to attend and look forward to his support for substantial improvements in our local math program.

(more…)




More on the CMP Math Curriculum



Celeste Roberts:

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.

(more…)