I was hopeless at algebra, so maybe that is my problem...
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IMO algebra is the hardest part of calculus & differential equations. Can't ever remember all the rules properly.
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Yes, in general the hardest part of learning layer n of math seems usually to be the complexity of layer n-1 that’s required.
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Replying to @Meaningness @EvanMcM and
When you’re learning highschool algebra, the hard part is doing the arithmetic properly; in calculus it’s the algebraic manipulations.
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Yes, couldn't agree more. The theory of calculus seems simple, elegant even. But doing the algebra was very hard for me, very frustrating.
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I wish highschool calculus was taught intuitively with much more software support so you could see how functions behave as graphical changes
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I taught for such a program in grad school. It was fucking dreadful, huge waste of time.
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Oh. Why?
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Navigating UI was an extra layer of difficulty, and the intelligent response was to spit out desired answer by rote.
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Replying to @St_Rev @Meaningness and
ie treat it as a drudge programming assignment rather than an experience of 'what's really going on here'. extra burden, little payoff.
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I think the general effect is no advantage to the good students, extra harm to the poor ones.
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Replying to @St_Rev @Meaningness and
i'd think making such a thing good (unambiguously better) is at least possible, even if most or all extant implementations are bad. shame
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.