Whenever I teach little kids something, I'm always trying harder to teach the meta-lessons, like breaking down a problem into smaller parts, or that practice makes you better.
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Replying to @paulg
Took me a while to realize that teaching meta-lessons directly is basically impossible.
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Like all broad, prima facie plausible principles, this one is subject to embarrassing, if rare, exceptions. For the simple truth is that what you can teach depends upon your audience. Students do exist for whom abstractions are more immediately comprehensible than examples.
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Replying to @MathPrinceps @paulg
Yeah, I was trying to convey that with the "basically" qualifier.
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I think I would myself have preferred the phrase "seldom if ever possible" for that purpose. "Basically" here might be construed as a synonym for "fundamentally," which might in turn suggest your belief that the pedagogical obstacle to which you refer is ineluctable.
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