The key to mathematics is to understand and think, and it is certainly boring to just look at examples. If you want to learn math well, you have to think for yourself, instead of just looking at examples and solving problems like a gourd painting gourd ladle. The core is the understanding of definitions and axioms, and it is necessary to know how they come from, what situations can be used and what situations are not applicable.
If you can't keep up with what the teacher said, that is, you don't understand what he said, then read it yourself in advance, and listening to it for the second time will help you understand. Read this book by yourself. Don't look at the theorem and prove it right away. Think about it first, it helps to understand. It would be great if we could prove it by ourselves according to the existing definition theorem. Good teachers don't let students preview math. In class, he gives definitions and theorems of needs, and guides students to prove new theorems themselves. Although the lecture is slow, it is still very beneficial in the long run, so as not to be crammed and unable to think.
Friends are also important. If you have friends who love math around you and discuss it together, it won't be so boring. But everything, except genius, takes time and effort to do well.
What I am most afraid of in learning mathematics is entering the misunderstanding of only looking at examples to do problems. These are all to help you understand, not the core. If you just want to do well in the exam and do the questions quickly, then do more exercises.
If you want to learn mathematics interesting, you should read more extracurricular books and read the history of mathematics. In addition, as long as you have learned some concepts of function and basic trigonometric function operation, you can try to teach you calculus, which is good for you to understand many problems in high school mathematics and physics. It is much clearer and more thorough than using those loose sentences, and it will also improve your understanding of mathematics. At present, there is no good calculus textbook suitable for senior high school students. You can try Tongji University. It's best to use foreign university textbooks, and then find someone who loves mathematics to tell you the basic concepts of limit differential integral. High school students don't have to stick to problem-solving skills. The hardest part is actually in the beginning If someone speaks at the beginning, others will understand it easily.
There are too many textbooks in China, and they are pieced together. If you have time, go online to find some foreign books, which are simple and thorough and can be used to lay the foundation.
In addition, I recommend reading Russell's book. He regards logic as the foundation of mathematics in the 20th century, and the emphasis is clear. Mathematical analysis, topology and abstract algebra are the core foundations of modern mathematics. Understanding their context and basic concepts will help you understand that the history of mathematics is basically about them. Today's geometry is also based on this. In addition, number theory is very interesting, but unfortunately, if you don't take part in the competition in high school, you won't have a chance to learn it.
If you are a person who likes to be partial to application, then combined with physics, such as geometric optics, sports, mechanics and other daily applications can use mathematics. In addition, if you like computers, learning C language programming is also helpful for you to learn mathematics.
In short, all roads lead to Rome, so you don't have to look at boring examples and sign up for a math cram school. I think it is more cost-effective to have this time to learn something else, lay a good foundation and prepare for the general review of senior three.
(I wrote so much unconsciously, which is some resentment against my high school days. I read your information at random, but I didn't expect your birthday to be September 27th like mine, which is really hard to get, haha).