eg: You cannot have useful thoughts about any subject from physics to engineering to economics to public policy without a handle on marginal changes in variables, ie derivatives of functions.
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And you can't do most statistics without a handle on probability distributions -- which is to say, how to integrate functions over a probability measure.
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I've long been of the opinion that the way
#Mathematics is taught in general is bass-ackwards, and an entire revision (of how it is taught) would -- ideally -- produce fewer innumerates. -
I think it could be done much better, and the practical effect would be minimal.
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Understanding calculus as a way of analyzing rates of change was one of the most useful “aha” moments in high school for me. I’d be lying if I said it was practical afterwards, but I weirdly it was like the only math class I actually enjoyed.
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(It also helped I had a REALLY good teacher for it)
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Yeah, I had absolutely awful teachers for calculus. I didn't really learn it until I had to teach it!
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BTW that and my undiagnosed ADD, it was like my brain was on fire, and that was in Uni... but diffEQ convinced me to give up with engineering, just couldn't keep up.
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I had an awesome calc I professor, Sister Judith Brower, OSB. I heard Abe later left math teaching to start a dial-a-nun service. Never got around to calling with a math question. Calc is absolutely needed for understanding world.
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Strong, recurrent theme was math teachers just listing equations on the board in funny voices, me almost jumping out of my skin wondering what the context of any of this was. Some kids obviously took to the programming just fine, but we also had a physics class that went into...
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...the history of our understanding of phenomena, of the human beings who took steps toward understanding, and how everything was integrated, including the mathematics. It was brilliant and I wish I'd had a math class that put similar context into such stuff, especially Calculus.
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It's so much better than the memorization bullshit that is math up to that point
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To young folks who are considering joining the Navy in hopes of getting into Reactor: Take calculus in high school. You'll still have to use the approved arcane waste-of-time method, but you can very quickly double-check your answers with less opportunity for error.
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.