He's doing that and more. He's showing the children that math is more than the memorization of it's parts. Math is not an arbitrary set of rules that we learn because... adults make them learn it.
He's showing them that the universe runs on predictable rules. Math just happens to be how we express those rules. Even more important than building intrinsic motivation is that they get to see what a reductionist universe looks like.
As a teacher, I wonder if it is possible to instill this skill into students the skills of rationality and critical thinking. I teach the third grade, and it is not immediately apparent how to apply this with my own class.
The problems I foresee are as follows:
In the sequences, it is suggested teachers should drill into students words don't count, only anticipation-controllers. How practical is this for an elementary school level? Also appreciated would be any ideas or experiences on how to do this, or how to combat the above problems. Hearing from other teachers would be excellent especially.