“School is often based not on problem solving, which perforce involves actions and goals, but on learning information, facts, and formulas that one has read about in texts or heard about in lectures. It is not surprising, then, that research has long shown that a student’s doing well in school, in terms of grades and tests, does not correlate with being able to solve problems in the areas in which the student has been taught (e.g., math, civics, physics).”