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How to deal with the relationship between teaching and learning in mathematics activities
Teachers are the providers of knowledge, the guides of teaching activities and the creators of teaching environment. They play an important role in controlling teaching activities, guiding and organizing students to decompose, digest and absorb knowledge by creating situations, and scientifically evaluating teaching effects.

Through the teaching process, teachers help students to know, understand and write symbols, establish the connection between perceptual symbols and their meanings, and learn to present this connection in consciousness, thus laying the foundation for knowledge inheritance. Teachers guide students to learn the relevant information carried and transmitted by symbols through teaching behavior, and understand the laws, principles, essence of things and the relationship between everything behind symbols.

In traditional teaching activities, teachers mainly complete two levels of teaching behavior: symbol expression and knowledge transmission, while in modern university education, teachers should further realize two higher levels of teaching behavior: ability training and concept construction. Teachers are the organizers of the whole classroom teaching process and the enlighteners in the process of students' seeking knowledge. They should guide students to explore the depth and breadth of knowledge. The better the teacher's guidance, the better the students' subjective role (initiative, enthusiasm and creativity) can be guaranteed.

Modern university education should change from exam-oriented education to ability education. Instead of teaching students more dead knowledge in books, it is better to teach students a good learning and research method. Teachers should let students really master a practical skill, master self-study methods and teach students the basic methods of project research; We should guide them to capture "prey" purposefully and selectively, and improve their knowledge recognition ability and acquisition efficiency; To cultivate students' abilities in many aspects, it is not only the ability to learn knowledge, apply theory and study problems, but also the ability to organize and communicate with others.