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How to guide students' autonomous learning in senior high school mathematics teaching
1. Improve teaching methods and let students participate in classroom interaction.

Teaching method is an important link with strong skills in teachers' teaching process. In teaching activities, flexible and appropriate scientific teaching methods can fully mobilize students' learning enthusiasm and improve the teaching effect obviously. However, unreasonable teaching methods may lead to the decline of classroom learning efficiency, students' learning enthusiasm and learning effect. In the process of high school mathematics teaching, the teaching methods are rich and varied. Usually, a single teaching method will not be used in a class. How to choose a reasonable teaching method requires teachers to choose a suitable teaching method according to the specific teaching content and students' interests.

For example, when teaching the relevant content of the chapter "Probability", the teacher can take out a one-dollar coin, throw it into the air, and hold out his hand to let the students guess whether it is heads up or tails up. Because high school math classes are usually rigorous, when using this relaxed and active teaching method, students' attention will be focused on this issue, so that they can think quickly about the questions raised by teachers. Teachers should properly link "probability" with real life, help students understand what "probability" is, and let students give examples of probabilistic events in life. Then, the application of permutation and combination in probability calculation is introduced into the classroom, and the teacher can personally demonstrate the "probability of head-up throwing 10 coin 1 time" and solve the probability result with the tree diagram method. In this way, teachers use small games in real life to introduce probability into the classroom, which not only improves students' learning enthusiasm, but also makes them willing to participate in learning life, so that their autonomous learning ability is enhanced unconsciously.

2. Stimulate students' interest in learning and make them love autonomous learning classroom.

Interest is the greatest motivation for learning. Only when students are full of great interest in learning can they actively learn knowledge and learn it well. Compared with other courses, high school mathematics knowledge is more logical, and interest will be more important for learning. In the traditional teaching methods, most teachers think that good math scores need to be done constantly and can only be obtained through the tactics of "challenging the sea". This teaching method has been accepted by most math teachers and has been popularized in practical teaching. However, the actual effect of this teaching method is not obvious, which is not conducive to the cultivation and improvement of students' comprehensive quality.

Learning activity is an active process. The main job of teachers is to actively guide students to love the corresponding knowledge, rather than simply oppress students through exams and the pressure of entering higher schools. Therefore, in high school mathematics teaching, teachers should reasonably stimulate students' interest in learning and improve students' desire for learning. Once students have a strong interest in learning and their curiosity is strengthened, they will naturally become interested in learning mathematics in senior high school, so it is natural to learn mathematics well. In the process of improving students' interest in learning, teachers can adopt various methods. For example, applying multimedia technology to classroom teaching and completely changing the traditional teaching mode can not only increase students' freshness, but also create a more realistic teaching environment for them, link mathematics with real life and provide strong support for the development of autonomous learning. [3]

3. Let students record their learning experiences and provide them with more opportunities for thinking.

Some students' poor math scores are often attributed to teachers' teaching methods, and they usually don't look for reasons from their own learning methods. Changing this understanding is an effective way to cultivate and improve students' autonomous learning ability. By cultivating students' autonomous learning ability, students have the ability to seek and solve problems independently, thus establishing the belief of learning mathematics well in senior high school. Giving students more opportunities to think is an effective way to cultivate their autonomous learning ability. In the process of teaching, teachers can let students record their learning methods, experiences and specific feelings in the learning process through study diaries or other means, and can also supervise and reflect on their learning behavior, thus invisibly obtaining ways to improve learning efficiency and learning quality. As the guide of learning activities, teachers should do a good job of supervision, know the actual learning situation of students in real time, and give detailed answers to the problems encountered by students in the learning process. At the same time, in the teaching process, you can also find your own problems in time through group teaching and discussion, and get the correct answers by answering each other.

Mathematics learning is a long logical learning stage. In order to learn high school mathematics well, students must have enough autonomous learning ability. By renewing teaching methods, stimulating students' interest in learning and providing them with more opportunities for independent thinking, teachers can play a guiding role, so that their autonomous learning ability can be improved, thus improving students' comprehensive quality.