1, Joyce and other mathematicians listed 22 teaching modes, which were divided into four categories. Social interaction mode, information processing teaching mode, personal teaching mode and behavior system teaching mode;

2. In the early 1980s, Mr. Gu Lingyuan proposed: induction, trial, induction, feedback and adjustment of teaching mode;

3. The mode of trying teaching proposed by Mr. Qiu Xuehua advocates that in mathematics teaching, try first and then guide, practice first and then speak;

4. The whole and example teaching mode is characterized by diluting the form, paying attention to the essence, paying attention to the application and reducing the burden on students;

5. The teaching mode characterized by the teaching of mathematical methodology;

6. Starting from psychology, starting from modern teaching theory, starting from the characteristics of teaching activities, focusing on the basic mathematics teaching mode of teaching activities;

7. Zhang Dianzhou divided mathematics teaching mode into five basic modes: teacher's lecture, teacher-student dialogue, student discussion, student activity and student autonomy.

8. Guo Lichang divided middle school mathematics teaching modes into: teaching mode, discovery mode, self-study mode and mastery mode;

9. Questioning the teaching mode represented by Bruner;

10, a seven-in-one mathematics teaching mode of guiding, learning, speaking, practicing, evaluating, researching and cultivating.