Some subjects just cannot be taught from authority. The problem with math education, as I see it, is that primary and secondary school math teachers really can'

Some subjects just cannot be taught from authority. The problem with math education, as I see it, is that primary and secondary school math teachers really can't answer too many 'why' questions (for a variety of reasons such as lack of knowledge or lack of time). Teaching math from a programming perspective (or vice versa) should work since you must (as opposed to 'shall') model problems you care about in terms of math.