It’s really odd what a cult piece this has become. Much of this is common to many mathematicians but his critique of proofs in geometry was really new to me....and spot on.
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If you’re still doing a YouTube channel/taking votes on it, mine is for alt-learning of math, physics, music, language for the teaching disabled.
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This goes right to the heart of teaching disabilities.
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I'd also love if you did an overview/series of alt-learning lessons of the kinds of mathematical and/or economics concepts that you think most people should know
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This is a superb document, which is, unfortunately, often waved around in education in support of ideas or initiatives of dubious quality--most often wrongly interpreted to be a call to skip over the tedious slog of learning anything and get right to the "creative" stuff.
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math is inherently creative. Maybe you don't remember, but often our math teachers would require specific methods of solving tedious problems and dock points for not applying this method. Kids learn math is just a bunch of formulas, rather then what is actually is.
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And that's bad too, yes.
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…wish you *had had…
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you're right of course. But why does Sam's sentence sound OK too, even though I know it's wrong?
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Would be perfect for someone still *in* high school.

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there's a native ring to it--you know what I mean, it's not that kind of mistake that would give someone away as a non-native speaker
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would be interesting to see if this particular mistake after "wish" is more common with certain subjects
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wish you’d had easily corrupts to wish you had while maintaining the vocalism and prosody (two major criteria we use sub/unconsciously to determine correct usage).
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an exceedingly satisfying explanation--thank you
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You’re welcome, of course :)
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The mathematics underlying the fundamental laws of electromagnetism is considered beyond the reach of undergraduate math-specialists. Is that a scandal, or is it just that volumetric integration is really, really hard? Either way, the electrons don't care.
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Does it just say “you probably won’t need math?”
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You should read it! It’s short and eloquent.
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25 pages is tl;dr. Google home, dictate this for me!
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