“I never want to hear anyone say to my daughters ‘I’m not a math person’ or ‘my brain doesn’t think that way,’ because I believe these messages can reinforce the idea that you have to be born to be a math and science person. And that’s just not true.”https://m-gat.es/2jGMlhK
If mathematicians hold the teaching of mathematics in contempt, and care only for the practice of their art, then they hold still more in contempt those who choose to devote themselves to teaching. Teachers learn little from disdainful mathematicians.
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So the mathematical knowledge of teachers is scant, and the schools of education do little or nothing to augment it. Lacking both mathematical knowledge and confidence, teachers impart to students a debased and fragmented picture of the subject -- along with an antipathy for it.
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The pedagogical and mathematical incompetence of teachers leads to disastrous learning outcomes, which policy-makers then try to fix by "teacher-proofing the curriculum." But micromanaging classroom practice only further demoralizes the teacher corps, leading to high turnover.
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