Through the guidance of methods, actively organize students' thinking activities and continuously improve students' participation ability. The research results of educational psychology show that teachers can make students consciously master reasoning methods, thinking modes, learning skills and learning strategies through purposeful teaching, thus improving the efficiency of students' psychological process of participating in activities and promoting learning. The teaching process is a unified activity process for both teachers and students. In this process, the contradiction between teaching and learning determines that teaching needs to be regular, teaching must be regular, learning is the only way and learning is effective. Otherwise, students will only follow the trend, only one move and one style, and they can't draw inferences. In teaching, teachers should not only teach knowledge, but also teach students how to "learn". In teaching, teachers can't ignore, let alone replace, students' thinking. But to make the design of teaching content as close as possible to the students' "nearest development zone". Basic knowledge of mathematics and mathematical thinking methods are two organic components of the content of middle school mathematics textbooks. The solution to every chapter, section and even exercise in the textbook is a harmonious combination of knowledge, ideas and methods. They are the unity of mutual influence, mutual connection and coordinated development.

We listen to teachers and read textbooks or materials at school every day, but are we listening and reading correctly? Let's talk about listening (listening, classroom learning) and reading (reading textbooks and related materials).

What students learn is often indirect knowledge, abstract and formal knowledge, which is refined on the basis of previous exploration and practice, and generally does not include the process of exploration and thinking. So be sure to listen to the teacher, concentrate and think positively. Find out what the content is. How to analyze it? What is the reason? In what way? still

Is there a problem? Only in this way can we understand the teaching content.

The process of listening is not a process of passive participation. On the premise of listening, we should analyze: what thinking method is used here, and what is the purpose of doing so? Why can the teacher think of the shortest way? Is there a more direct way to solve this problem?

Reading mathematics textbooks is also a very important way to master mathematics knowledge. Only by reading and reading mathematics textbooks can we master mathematics language well and improve our self-study ability. We must change the bad tendency of using textbooks as dictionaries to look up formulas without reading books. When reading textbooks, we should also strive for the guidance of teachers. When reading the content of the day or the content of a unit or a chapter, we should consider comprehensively and have a goal.