[aninhumer]

>Teaching necessarily forces a rigor not seen in most actual usage. This is because there is a need to build concepts on top of one another.

To be honest, what I take away from this is "It's easier for the teacher to keep track of progress if everyone takes the same path to understanding". This might be true, but is precise knowledge of progress more important than the benefits of allowing different paths? I'm inclined to think it will stunt their creativity and exploration in ways that slow them down overall.