The cultivation of mathematical thinking depends not on speaking, but on what we do in our usual teaching life. In other words, mathematical thinking is "understandable but unspeakable", which requires students to "experience" bit by bit in their study. Although the cultivation of mathematical thinking requires students to sort out their feelings in their studies, we should also give them appropriate guidance. First, let students change from passive to active. In the traditional exam-oriented education, the classroom is often depressed. The teacher speaks on the platform, the students listen below, and the classroom is dominated by the teacher. However, it is time for students to become the dominant class and make the classroom atmosphere "alive". There is a great difference between passive learning and active learning. Although passive learning can improve students' grades in a short time, students' interest and participation have been polished, and students are likely to have an aversion to mathematics. Active learning is completely different. Students' active participation in learning can ensure their long-term enthusiasm for mathematics.

Second, multiple solutions to one question, to cultivate students' mathematical thinking

After each solution, we can guide students: "Is there any other solution to this problem?" Guiding students to solve multiple problems can train their intelligence, make them dare to question, arouse their enthusiasm and cultivate their mathematical thinking.

Third, cultivate students' mathematical thinking in homework.

For students, it is far from enough to attend classes for only 40 minutes, because the formation of thinking habits is not a matter of one or two days. Therefore, when assigning homework to students, teachers should not only lay a solid foundation, but also consider expanding students' thinking and cultivating students' mathematical thinking in homework.

Teachers can arrange some homework such as deducing formulas, so that students can master knowledge while expanding their ideas; At the end of each unit, let the students draw a mind map and systematically review the units they have learned; Finally, we should regularly carry out activities of math interest groups to stimulate students' brainstorming and let students really form math thinking in a subtle way.

Homework is an important means to test students' mastery of knowledge and an important way for students to develop their thinking. Teachers should make good use of homework, let students learn to learn, learn logical reasoning, and learn to establish mathematical thinking.