First, textbooks should be "previewed, done well and repeated". Before each new lesson, preview it first, especially highlight the difficulties or things that you don't understand with colored pens, so that you can concentrate more in class. You can do the exercises after each lesson first, so that you can understand 70% of the new content and do 80% of the exercises. After learning a new lesson, we should compare and review the learned knowledge step by step according to the contents of the textbook, from easy to difficult, from simple to complicated, and summarize the concepts, theorems and formulas to deepen our understanding of the knowledge. The examples in the textbook are best done by yourself. Reasoning the concepts, theorems and formulas in the textbook to form an overall understanding of knowledge.

Second, we should "listen, remember and practice" in class. Listen to the questions in the preview in class, take notes when necessary, and consolidate them through some exercises. Mathematics is different from other subjects. It is impossible to solve practical problems by memorizing concepts, theorems and formulas. Only through practice can we reduce operational mistakes.

Third, homework should be "thinking, asking and gathering". Homework must develop the habit of independent thinking, from different methods and angles, explore various problem-solving methods from typical topics, and get association and inspiration from them. At the same time, we should also establish more mathematical problem-solving ideas, such as: equation ideas, function ideas, combination of numbers and shapes and other common methods; For difficult questions, we should ask more reasons, such as changing conditions, adding conditions, and exchanging conditions for conclusions. Is the original conclusion still valid? In addition, for the mistakes in homework and test papers, it is best to prepare a set of wrong questions for future review. Don't make the same mistake twice.

In short, learning mathematics must have methods, plans and reasonable arrangements. After the new lesson, some students feel headache, so they look around and don't know what they have learned in the end. Therefore, every student should work out reasonable learning methods and goals according to his own actual situation; If there is no way, it will become a headless fly; Without goals, there will be no motivation.