For as long as I can remember, I've hated rote memorization. Whether it was in history classes with names and dates or math/statistics classes with formulas and proofs, I've always wanted to know the reason why not just the how. Drove my teachers crazy. Well, some of them anyways. My best learning experiences have always been when the teacher explained the underlying reasons; the thinking behind the solution. I vividly recall my college calculus teacher telling me that all of calculus consisted ...