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The Disservices of Teaching Mathematics
I think we do two enormous disservices to students and I see it as people go from an undergraduate degree to a PhD the first one is that we always present things that are right so in an econ PhD course you will read 20 papers written by 20 brilliant economists who have been awarded Nobel prizes for what they've done. When I teach I try to very much do the opposite I try to teach half good papers and half papers that have terrible mistakes because I want the students to see that in the top academic journals it's loaded with people who thought they were getting it right but then with the wisdom of time we've come to realize they were completely wrong. That's a much more interesting way