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somervta comments on Open Thread for January 17 - 23 2014 - Less Wrong Discussion
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Re the specific question, I was told that there exists quite a lot of good, experimentally confirmed research on education in general and math education in particular, but that almost none of this research is implemented in high schools and very little in tertiary. So I would guess that teacher training materials will not contain it.
How Learning Works: Seven Research-Based Principles for Smart Teaching (2010) is the standard text that gets thrown around (as far as education in general). I'm surprised it apparently hasn't come up here before, since the approach is very well aligned with LW norms. I'd say it's worthwhile for anyone who expects to teach (or learn) in the future.
I'll plan on writing up a summary/review if no one beats me to it.
Yes, please do write the summary!
(Former teacher here, and I sometimes discuss this topic with my friends.)
OK, it's done.