The content of the course should not only reflect the needs of society and the characteristics of mathematics, but also conform to students' cognitive laws. It includes not only the conclusion of mathematics, but also the formation process of mathematical conclusion and mathematical thinking method. The choice of course content should be close to students' reality, which is conducive to students' experience, thinking and exploration. The organization of course content should deal with the relationship between process and result, intuition and abstraction, direct experience and indirect experience. The presentation of course content should pay attention to hierarchy and diversity.
Teaching activity is a process of active participation, interaction and development between teachers and students. Effective mathematics teaching activities are the unity of students' learning and teachers' teaching. Students are the main body of mathematics learning, and teachers are the organizers, guides and collaborators of mathematics learning.
Mathematics teaching activities should stimulate students' interest, arouse their enthusiasm, stimulate their mathematical thinking and encourage their creative thinking; We should pay attention to cultivating students' good math study habits and mastering effective math learning methods.
Students' learning should be a lively, active and personalized process. Besides learning, hands-on practice, independent exploration and cooperative communication are also important ways to learn mathematics. Students should have enough time and space to experience activities such as observation, experiment, guess, calculation, reasoning and verification.