“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
The root problem is that the culture of mathematical investigation, like all cultures of artistic practice, can be transmitted only by its practitioners -- who perversely consider this desperately important work to be someone else's job. The contrast with music is dramatic.
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As usual, misguided incentives are to blame. Mathematicians do not care about the teaching of mathematics, and do everything they can to avoid engaging in it, or even thinking seriously about it. They're not penalized for this; they're rewarded. So mathematics teaching suffers.
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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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