Jo Boaler just showed me what a typical Japanese textbook looks like. Check out the thickness… Not!pic.twitter.com/Vtdln8YEOR
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See also (or perhaps first of all) this still-remarkably-on-point anthology of first-rate work on Japanese approaches to pedagogy (including math, music, etc.): https://amzn.to/2FejVrd
An absolutely crucial point that most people fail to make is that elementary mathematics teachers in Japan devote a great deal of time and effort to making the classroom a place where students are comfortable making conjectures and being wrong. This is hard, subtle work.
I had a pretty great experience with my high school teachers but the fact that math text books in North America are written by people who seem to want to make you hate math is an enduring mystery.
Sometimes people have good experiences here, certainly. But it's very hit-and-miss, with more misses than hits. The key question is how to get consistently good results. It's the system that counts. And making great teachers isn't any easier than making great fighter jets.
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