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short of downloading your knowledge into my brain this is the next best bet thanks, I'll check it out!

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yeah but it could happen faster if people talked about it more explicitly i think. we sort of expect math students to at some point just osmose this stuff implicitly which is a little unfair

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it's like... there's a few distinct transitions you go through on the way to building up "mathematical maturity," a few really key "developmental milestones" for absorbing how mathematicians think about math that i think could be organized into a rough stage model

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i've def met smart reasonable adults who did well in math classes who later realized they did not understand this and were just manipulating expressions syntactically the whole time

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