I'm a first year mathematics major and I have a problem with my learning process. In my university, I only have books and questions that the university published, so I have to learn the most of the material by myself. The books are books that my university has written. I'm having problem with getting a deep understanding the material. My learning algorithm goes like this most of the time:
- Opening the book, starting to read and most of the time reading fast.
- After a not very long time, starting to skip the proofs that I didn't get.
- Starting to skip some exercises.
So at the end of the day, I know the definitions, I can solve some exercises, but I don't understand the material deeply. When I'm reading I usually don't have questions and that's not a good thing. I want to read the book, ask questions all the time, prove things on my own, etc. How can I solve this? I don't have motivation to understand the proofs. I thought about proving to myself the theorems, but I don't know if that's a good idea. The courses that I'm taking now are Linear algebra 2 and Real anaylsis 2.