I admire this spirit. I am a graduate student in the department of mathematics, majoring in normal education, and my professionalism is not very strong.
The mathematical ideas and theoretical methods of college mathematics and high school mathematics are different. It is not easy to get started at first, and it will not be good for high school mathematics in the short term.
If you really want to learn, college mathematics can be divided into two categories: mathematical analysis and advanced algebra. Of course, there are many common infinitesimal, real function, functional and so on based on the above two disciplines. Mathematical analysis is done by Higher Education Press, which is very detailed and the knowledge points are relatively simple. The advanced algebra I started with was also published by higher education. Anyway, it's easy to learn after a long time, but it is said that the version of Northeast Normal University is generally good.
The above is for reference only. But as a future people's teacher, I still want to tell you that going to college with advanced mathematics is the embodiment of the wisdom of countless smart and hardworking people in China. Learning high school curriculum well is the first priority.
Hehe, I am still a preparatory teacher, and I miss it very much. What about the children I will teach in the future? You should do a good job in psychological construction! ! !