It can, and it should. However, that doesn't mean that the books are doing it successfully, and the teachers understand the underlying principles. Too many ye

It can, and it should. However, that doesn't mean that the books are doing it successfully, and the teachers understand the underlying principles. Too many years ago, I was pleasantly shocked at looking at what was being covered in elementary education by tutoring a friend. They were teaching discrete mathematics, different numbering systems ... forcing the teachers to learn how think in a different system. It was inspired (and harder then I would have expected). However, the book author's did not seem to realize what they were doing or why. They were meeting the requirements without understanding why they were requirements. It unfortunately seemed far too appropriate for what would be happening in many grade schools.