So, in more advanced courses and fields in math like undergraduate and more advanced, how does one make a proof? He makes trials of everything he knows about the problem? What are the instructions to make proofs? When someone reads theorems and other proofs should he make preparations to answer the problems he will try to answer?
When i try i mostly fail solving the problems. Especially in courses like introduction to metric spaces or general topology. What should i do to correct this? When i read the answers to the problems the process of proving them confuses me. Could you help in this?
Also, because i have failed in exams sometimes, and i found them difficult, i find difficulty trying to read and solve problems because of fear.