It really does help to have intuition. Take for example: . You can remember or write this down, but it won't help you when you are solving. It's always best to have some sort of logic behind your actions in math, as I am sure you know. Also, it helped me to put up a 'clumsiness check-list' that I go through for every problem on a test.
I advice reading/watching proofs as well as learning. At the very least try grasping the intuition. I couldn't learn math otherwise.