The basic content, content and significance of mathematics teaching theory; Characteristics, research fields and research methods of mathematics teaching theory. Grasp the meaning of mathematics teaching theory and understand the significance of mathematics teaching theory. Master the characteristics, research fields and research methods of mathematics teaching theory. It is necessary to know the world famous mathematics educators and their works.

The Development of Mathematics Education —— A Brief Introduction to the History of Mathematics Education in China: A Brief Introduction to the History of Mathematics Education Abroad. Understand the historical development process of China's mathematics education, especially the main points of the development of mathematics education since the founding of New China. It is necessary to understand the classic cases and their characteristics in ancient mathematics education and teaching in China, and to understand the evolution process of China's mathematics teaching method theory since modern times. Understand the development of foreign mathematics education. In particular, we should understand the characteristics of mathematics education and teaching methods in ancient Greece. Understand the major events of world mathematics education reform since Bailey Klein's mathematics education reform movement, its guiding ideology and its influence on world mathematics education.