Yeah, so what we've found in the course is that the students hate doing it and tend to mess around a lot instead of following the rigorous procedure, at least w

Yeah, so what we've found in the course is that the students hate doing it and tend to mess around a lot instead of following the rigorous procedure, at least with the early assignments. Later on in the course the problem sets get difficult and the students start to gain an appreciation for the process. It stops being this boring thing they're required to do and starts being a powerful tool for them to organize their thoughts instead of muddling around without making any progress.