The Educationist View of Math Education

Barry Garelick:

In Jay Greene's recent blog post, "The Dead End of Scientific Progressivism," he points out that Vicki Phillips, head of education at the Gates Foundation misread her Foundation's own report. Jay's point was that Vicki continued to see what she and others wanted to see: "'Teaching to the test makes your students do worse on the tests.' Science had produced its answer -- teachers should stop teaching to the test, stop drill and kill, and stop test prep (which the Gates officials and reporters used as interchangeable terms)."

I was intrigued by the education establishment's long-held view as Jay paraphrased it. This view has become one of the "enduring truths" of education and I have heard it expressed in the various classes I have been taking in education school the last few years. (I plan to teach high school math when I retire later this year). In terms of math education, ed school professors distinguish between "exercises" and "problems". "Exercises" are what students do when applying algorithms or routines they know and can apply even to word problems. Problem solving, which is preferred, occurs when students are not able to apply a mechanical, memorized response, but rather have to apply prior knowledge to solve a non-routine problem. Moreover, we future teachers are told that students' difficulty in solving problems in new contexts is evidence that the use of "mere exercises" or "procedures" is ineffective and they are overused in classrooms. One teacher summed up this philosophy with the following questions: "What happens when students are placed in a totally unfamiliar situation that requires a more complex solution? Do they know how to generate a procedure? How do we teach students to apply mathematical thinking in creative ways to solve complex, novel problems? What happens when we get off the 'script'?"

Posted by Jim Zellmer at January 26, 2011 2:02 AM
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