I think this article - "A Mathematician's Lament" by Paul Lockhart - is something everyone should read Not exactly an answer to your questions and not exactly aimed at math beginners, unfortunately, but it's a really engaging rant about this topic https://www.maa.org/sites/default/files/pdf/devlin/LockhartsLament.pdf …https://twitter.com/graciegcunning/status/1298804338727489536 …
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I think its a bit different because with the current standards it’s still *possible* to teach English well (though many don’t on an individual level), but the math standards do not allow for good math teaching. The whole dang setup is wrong.
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