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You know when you’ve taught math properly to a student, because the student feels more powerful and confident than before (just like a successful student of carpentry or basketball). That feeling of power is what inspired me and, I imagine, many others to pursue mathematics or science as a vocation. My belief is that the vast majority of math professors and math teachers don’t see how to “empower” their students in this way, and indeed it is a very hard thing to do. So we settle for either a “cultural understanding” of mathematics or a demonstration of some rote skills.
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n art portrayed as a cold heartless bureaucracy.
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