In my experience, neither intro calc classes nor intro stats classes are that useful at teaching the underlying principles. The classes mostly just test whethe

In my experience, neither intro calc classes nor intro stats classes are that useful at teaching the underlying principles. The classes mostly just test whether students can learn an algorithm to solve a certain class of problem, whether it's differentiating a function or running a statistical test for scenario X. I was a math major and didn't understand calc all that well until I took advanced calc, and I didn't understand statistics all that well until I took the upper-level mathematical stats courses.