The purpose of learning lies in practice. Mathematics education not only impart knowledge to students, but also cultivate students to get rid of the psychological barriers of applied mathematics, create conditions for students to succeed and help students improve their learning quality. Paying attention to developing intelligence, improving ability, guiding students to pay attention to the essence and characteristics of things and the relationship between things, cultivating students' observation and imagination ability and cultivating students' good thinking mode are all manifestations of quality education in classroom teaching. Teachers should stimulate students' brains by changing sounds, gestures, writing on the blackboard, application models, projectors and other visual AIDS, so that students can get excited, have a strong impression on what they have learned, stimulate students' interest in learning and improve their ability to accept new knowledge. Mathematics knowledge is extensive and profound, and every math class is new to students. If we can ask attractive questions when introducing new classes, we can stimulate our interest in learning. As we know, the introduction of new courses generally includes straight to the point, observation and discovery, calculus with experimental operation and attractive question-and-answer style.

2. Create a life-oriented situation and try to stimulate students' interest in learning.

In various ways, you can ask questions related to textbooks directly, or you can ask questions by induction. Timely praise and encouragement is an important way to improve learning interest. In classroom teaching, we should give correct evaluation and appropriate encouragement to students' enthusiasm and achievements. For example, after a concept is finished, let the students repeat it and answer the connotation and extension of the concept; After an example, let the students sum up the solution and what mathematical ideas and methods are used. For students with poor foundation, you can ask more basic questions and give them more exercise opportunities. At the same time, teachers should encourage students to ask questions boldly, answer students' questions patiently and carefully, and give timely affirmation and praise to enhance students' courage and confidence in asking questions. When students do their homework well, solve problems in a novel way, improve their grades, and show the spirit of hard work, they should be given moderate praise to enhance their learning confidence, stimulate their enthusiasm for comparison, and achieve the purpose of praising one person and inspiring a large film.

3. Pay attention to the cultivation of mathematical thinking ability.

Ability is a personality and psychological characteristic that meets the requirements of activities and affects the effect of activities. And mathematical ability should have mathematical characteristics. Mathematical ability refers to the combination of knowledge and skills in the original cognitive structure through thinking, comparison, analysis, synthesis, generalization and association, thus actively constructing a new cognitive structure. Mathematical thinking ability is the core of mathematical quality. Therefore, the process of improving students' mathematics quality should focus on cultivating students' thinking ability. For example, teaching association to cultivate the flexibility of thinking, cultivating the profundity of thinking with similar questions, cultivating the rigor of thinking with classified discussion thinking, cultivating the agility of thinking with multiple-choice questions, and cultivating the creativity of thinking with inductive guessing.

4. Pay attention to the teaching of mathematical thinking mode.

In the whole process of mathematics, let students participate in the process of mathematical discovery and thinking exploration, emphasize the infiltration of mathematical thinking methods, and strengthen the learning guidance of mathematical thinking methods in teaching. Let students keep thinking, processing and transforming all kinds of information and ideas. Synthesize and generalize based on new knowledge and old knowledge, explain related phenomena, form new assumptions and inferences, and form your own unique way of thinking. In mathematics teaching, through the joint efforts of teachers and students, students can achieve the predetermined goals in knowledge, ability, skills, psychology, ideology and morality, so as to improve their comprehensive quality.

5. Pay attention to the teaching of knowledge formation process.

(1) Understanding of mathematical language and symbols: Mathematical concepts can be accurately expressed in language, and the correctness of the language description of concepts can be recognized; (2) Explanatory understanding: Understanding the internal relationship of mathematical concepts can straighten out the relationship between concepts, deeply understand the connotation and extension of concepts, grasp the process of concept generation, and reveal the relationship between concepts; (3) Reasoning comprehension: On the basis of fully understanding mathematical concepts, one can make personal reasoning about related mathematical objects; (4) Creative understanding: can get rid of the shackles of related materials and put forward creative understanding of mathematical concepts.