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I used to tutor some 16 and 17-year olds in math. It was always heartbreaking to see the school curriculum requiring students to essentially know the "name of a thing" e.g. commutativity, without really ever understanding it or using it. Reminded me of Feynman's account of learning from his father, and the difference between really learning something, and just learning the name of a thing: https://haveabit.com/feynman/knowing-the-name-of-something/

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