Zero, I think. Rota and Thurston are partial exceptions. Any others?
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Oh, and Terry Tao.
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Polya, surely?
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Hugely overrated imo but ymmv
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I couldn't stand "How to Solve It". I was never sure on how much that was because I already knew what I was doing, but I couldn't really imagine it being helpful if I didn't already understand what it was saying.
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I've only skimmed it, due to encountering it after I'd already absorbed most of the contents :-) But anyway, he's a leading mathematician who put serious effort into teaching the heuristics he used.
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I think it's pretty clear that -- so far, at least -- the greatest mathematician to devote serious thought to pedagogy is Israil Moiseivich Gelfand. Compared to the attention he gave to mathematics itself, of course, his pedagogical efforts pale into insignificance. But still.
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I'm not familiar with Gelfand's work on pedagogy (or any of his work, honestly) - do you have a good starting point?
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It's hard to exaggerate Gelfand's significance to 20th century mathematics; he was one of the titans. His work in pedagogy of mathematics was relatively modest, but still far more impressive than that of any other mathematician of similar stature. See: http://bit.ly/2qen58Q
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Thanks! I've heard of him, obviously, I just didn't work in a field he touched - though looking at Wikipedia, I might have encountered some of his work on representation theory or Lie algebras as an undergraduate.
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His contributions to representation theory, especially, were fundamental, diverse, and penetrating. (They overlapped somewhat with the tour de force achievements of Harish-Chandra.) Mackey and Langlands have since taught us how much we owe to these extraordinary pioneers.
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