Modern education view holds that mathematics teaching is the teaching of mathematical activities, that is, the teaching of thinking activities. How to cultivate students' thinking ability and develop good thinking quality in mathematics teaching is an important subject of teaching reform. Confucius said: "Learning without thinking is useless, thinking without learning is dangerous". In order to make students think actively in mathematics learning, we must teach them the basic methods of analyzing problems, which is conducive to cultivating students' correct thinking mode. To be good at thinking, students must attach importance to the study of basic knowledge and skills. Without a solid foundation, their thinking ability cannot be improved.

Mathematical concepts and theorems are the basis of reasoning and operation. In the teaching process, we should improve students' cognitive ability of observation and analysis, from outside to inside, from here to there; In the example class, the discovery process of solving (proving) problems should be regarded as an important teaching link, so that students should not only know how to do it, but also know why and what prompted you to do it. In mathematics practice, we should carefully examine the questions, observe them carefully, have the ability to dig out the hidden conditions that play a key role in solving problems, and use comprehensive methods and analytical methods to express them in mathematical language and symbols as much as possible in the process of solving problems (proofs).

In addition, we should strengthen the training of analysis, synthesis and analogy to improve students' logical thinking ability; Strengthen the training of reverse application formula and reverse thinking to improve the ability of reverse thinking; Solve mistakes and omissions through analysis and improve the ability of identifying thinking; Improve divergent thinking ability through the training of multiple solutions to one problem (syndrome).