Many fascinating reply threads! “How to actually do math” is taboo for some reason; there’s almost nothing written about it. You have to get the secret oral transmission. Can we use the interwebs to break that code of silence?https://twitter.com/Meaningness/status/1190039312794079234 …
By way of context, I think I may have had an unusually unhelpful math education (MIT SB math & PhD theoretical CS with a lot of graduate-level math courses).
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Partly my fault, for various reasons, but I do think in retrospect the department’s professors were great mathematicians but in many/most cases terrible educators. From memory, but also I’ve recently watched a bunch of their lectures on the MIT MOOC, and they are objectively bad.
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I may be overgeneralizing from my personal experience. I wish I had had you as a mentor instead! I’m confident that your students’ experience is very different. That said, whenever I gripe about this, many people say “yes that’s how it is” and nearly never “not my experience!”
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