1, basic knowledge: generally refers to the basic concepts, basic properties, basic laws and basic formulas involved in mathematics courses. Basic skills: including basic operation, measurement and drawing skills. The basic ideas of mathematics: abstraction, reasoning and modeling.

2. Subject teaching knowledge refers to how to organize the topics and problems in a subject field and the understanding of teaching. It is a special field of teachers, that is, the form of teachers' own professional knowledge and understanding. Literally, PCK is a unique teaching experience for teachers, and the special integration of subject content and pedagogy in teachers' unique fields is a concrete form of teachers' own professional understanding. In addition, subject teaching knowledge is also the knowledge system that distinguishes subject teachers from scholars. Scholars create new knowledge in a certain subject field, and teachers help students understand these new knowledge. They are also excellent teachers and newcomers. It is also the difference between subject experts and experienced teachers. In this model, as a form of knowledge, it consists of facts, concepts, skills, processes, beliefs and attitudes. The difference is that it is a fusion of many knowledge bases and a teacher's professional field. All knowledge bases have contributed to the generation and development of the richest subject teaching knowledge. There are many key concepts to fully understand the subject teaching knowledge, such as important teaching expression concept, knowledge-based concept of teacher-student interaction, skilled teaching behavior concept and so on.

3. Subject teaching (mathematics) is a major under the Master of Education, and curriculum and teaching theory (mathematics) is a direction under the Master of Education.