EHeller comments on What false beliefs have you held and why were you wrong? - Less Wrong Discussion
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Before I started tutoring I believed that anyone can learn first year math and science if only they put in the time and effort. Before I went to grad school I believed that I can learn all the advanced math and theoretical physics topics I was interested in. Neither belief survived experimental testing.
Weirdly, I had the exact opposite conversion via tutoring, where "anyone" = "college students."
EDIT: I should clarify, I was a mediocre tutor. However, the head of the tutoring center was incredible. He regularly had people who were failing college algebra and science for non-majors and turned them into chemistry majors. In the sessions where he tried to mentor me, my students were obviously learning more than when I was by myself.