Sure but those two positions are not mutually exclusive. I don't think I ever took a Maths class that didn't introduce the idea of verifying your answers. But a

Sure but those two positions are not mutually exclusive. I don't think I ever took a Maths class that didn't introduce the idea of verifying your answers. But at the lower level, most of them used books that provided answers for some but not all of the exercises. If nothing else, this is an advantage from a time efficiency viewpoint, as you can more quickly identify the problems you got wrong, and focus your review time on those. Those presumably being the ones most likely to highlight some misunderstanding of the material. If time were infinitely available maybe the distinction wouldn't matter, but things being what they are...