(A) pay attention to the cultivation of students' autonomous learning ability

To cultivate students' autonomous learning ability, high school math teachers should first cultivate students' inquiry ability, build an environment conducive to autonomous learning, stimulate students' interest in learning, improve students' enthusiasm for autonomous learning, and promote students to actively participate in math teaching activities and think about problems. In this way, students can change from passive learning to active learning, and gradually cultivate good study habits of independent inquiry and thinking. In high school mathematics teaching activities, many problems need students to guess and assume. If high school students can take the initiative to assume and guess when learning mathematics, it will help to understand the process of mathematical phenomena and principles. Students' autonomous learning can gradually improve classroom efficiency. Students' active guesses and assumptions about mathematics can cultivate students' ability to find and solve problems independently, enhance their awareness of self-reflection, and thus improve their initiative in learning.

(B) Mathematics teachers should establish correct teaching guiding ideology.

According to the actual situation of mathematics teaching activities, combining the educational ideas and teaching concepts of the new era, the mathematics courseware of high school mathematics classroom is effectively designed. Mathematics teaching should not simply take courseware as a tool to impart knowledge, but should clarify its purpose; It is necessary to improve students' interest in learning, expand their knowledge, arouse their enthusiasm in class, turn students from recipients of knowledge into active learners, and gradually cultivate their comprehensive mathematical ability. According to the actual situation of students' knowledge mastery, building a brand-new teaching cognitive system is helpful to build an efficient mathematics classroom.

(3) Pay attention to methods in mathematics classroom teaching.

Students' mastery of high school mathematics knowledge requires teachers' reasonable and effective teaching methods. Mathematics knowledge in senior high school is very abstract, and its key point is to apply it on the basis of understanding mathematical concepts, and at the same time cultivate students' imagination, thinking and operation ability.

(D) Teachers should pay attention to collecting students' feedback information to improve classroom efficiency.

Mathematics in senior high school is a very rigorous subject. In order to stimulate students' interest and enthusiasm in learning, teachers need to use effective teaching methods, so as to improve the efficiency of mathematics classroom and improve the quality of mathematics teaching. On the other hand, if the teaching methods are not used properly, the teaching difficulty will also increase. Under the background of new curriculum reform, students should be the main body of classroom teaching, and teachers should play a leading role and flexibly use open and heuristic teaching methods.

Third, promote cooperation and encourage students to explore in cooperation.

With the deepening of the new curriculum reform, the new curriculum standards advocate cooperative inquiry learning. Through cooperative learning, students' comprehensive quality can be improved and their all-round development can be promoted. In teaching each new lesson, teachers should guide students to preview the content of this lesson according to the outline, and urge students to solve the problems in the process of collecting and sorting out the preview. Mark the problems that can't be solved and bring them to the classroom to solve. Problems that can't be solved in class will be solved after class. Problems that can't be solved by one person are solved collectively, and problems that can't be solved collectively are solved with teachers. In the process of cooperative inquiry, when students encounter difficulties, teachers should give correct guidance in time.

Mathematics teachers should strive to make the mathematics classroom more vivid, create an efficient situational teaching environment, stimulate students' interest in learning and promote the gradual formation of senior high school students' thinking ability. Teachers properly guide students to make good use of mathematics knowledge to solve problems, feel successful, and naturally form enthusiasm for mathematics learning. Through these teaching methods, we can effectively improve the efficiency of classroom teaching and make the mathematics classroom really "live".