I agree that there's a difference between learning and understanding, in a similar vein I wrote my own 3D renderer and really understood matrix multiplication.

I agree that there's a difference between learning and understanding, in a similar vein I wrote my own 3D renderer and really understood matrix multiplication. But say you and I were in the same class, but only one was allowed to pass, even though we both now understand how things work. One of us has to take it again or change paths for no reason.