But for the first point, as poor as research in education is, there have been improvements in educational methods. I read some examples about the Common Core mathematics pedagogy, prepared to be as angry as Feynman, but they were actually teaching kids how to do arithmetic the way I do (which is way better than New Math or brute force methods): 99x5 is 500-5 not 5+(4+5)*10+400. Are their changes more likely to be improvements rather than demerits? I do not know.