What is the best way to memorize proofs of theorems?

Question

Programming

It is clear that by itself you are unlikely to tell, this is far from being possible for everyone, not everyone is as smart as Post and Gödel were, for example. We are talking about theorems in discrete mathematics, but also in matan, for example, the same situation. At least to remember the order of succession, what follows what, why this way and not otherwise, and similar things, it is possible, but not very successful. What is the best way to do it? I used to sort out everything in the proof, the next day I get stuck on something and without a hint what to do next I can’t continue.

Answer 1

For 3 years of mathematical analysis at the university, I never memorized evidence. Try to understand her. Remembered something like this theorem XXX is proved by the reverse method. For some reason I was sure that I would bring the rest. Memorizing the proof is useless, memorize the method and decide. It may sound rude, but they are trying to teach you to think, not to train your memory.

Answer 2

Personally, to be honest, I remembered bringing 10 percent of theorems at most, but I was not distinguished by persistence in mastering, as it seemed to me (and still seems to be), sciences that are not needed in real life.
But those that were remembered, and with ease, were simply understood by me in a physical sense, like the data on which they were based.
Try to understand the physical, not the mathematical meaning of them.

Answer 3

Memorizing proof is like cramming a verse - cool, but useless. It is better to understand how it happened - after all, this is mathematics, everything is consistent - you just need to know which methods to use. It's hard without a strong base.