I am finishing my undergraduate degree and one thing I've noticed is how little weight has been placed upon the ability to read proofs, in basically all of my math courses. In first year calculus you are shown the proofs for things like the limit of sin(x)/x at 0, but in my experience there is no incentive for you to understand them. This pattern continued even in more advanced undergraduate courses on foundations and real analysis. As one example, the professor spent an entire lecture proving the schroeder-bernstein theorem, and very few students made an effort to understand it (they certainly weren't motivated to do so through grades). Generally speaking, my classes have followed a format where the professor will prove theorems for a significant portion of the lecture time but tests are designed with applications and proof-writing in mind and certainly most proofs done by the professor are far too hard for a student to recreate independently, so there is no incentive to learn the details of the more complicated proofs.
This seems unusual to me, considering the format of most courses requires you to understand the arguments backing up a particular proposition. Is this true of most university programs? Should a greater emphasis be placed upon learning how to read complicated proofs?