Haha, the way maths is taught at university hasn't changed in centuries.
Let's not pretend this has all been figured out and perfected. Heck, most maths professors I encountered in my studies could trace their scientific lineage straight back to C.F.Gauss[1] and that's how they taught. Don't get me wrong, some were great teachers, others not so much, but there are valid alternatives to the classic lecture.