> I think calculus should be taught like “here a set of tools to help you rewrite your equations to make them output the slope of their graph”. The method you describing is how I was taught calculus in high school, that is, with a strong focus on practicing mechanical manipulation of formulas rather than building deep understanding. And I just disconnected from that, I got no mental reward from procedurally finding the derivative or the integral of a function for the 100th time.
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