The "spoon-feeding" and "indoctrination" teaching modes can only cultivate masters of memory and problem solving, but lack the ability of innovative thinking and independent thinking, which obviously cannot adapt to the development of modern society. The new curriculum reform puts forward that mathematics classroom teaching activities should take students as the main body, and pay attention to cultivating students' independent thinking ability, problem-finding and problem-solving ability and innovation ability, so as to cultivate high-quality comprehensive talents. High school mathematics is a theoretical and logical subject with great difficulty. It is difficult to arouse students' enthusiasm by using traditional teaching mode, and the classroom effect is not good. Inquiry teaching mode can guide students to learn independently, deeply understand mathematical knowledge and establish their own mathematical model. Let's talk about the application of inquiry teaching based on our own teaching experience.

First, explore the significance of teaching mode

1. Improve students' learning enthusiasm and enliven the classroom atmosphere.

In previous math classes, the teacher was usually the main body, and the students just listened passively. In the long run, students' autonomous learning ability and independent thinking ability will inevitably be stifled. At the same time, high school students are facing the pressure of college entrance examination, which makes the classroom atmosphere depressed and the learning efficiency greatly reduced. Inquiry teaching means that teachers set up inquiry activities reasonably, design problem situations, and let students practice, solve problems and draw conclusions by themselves. This teaching mode can stimulate students' thirst for knowledge, make students change from passive to active, expand the communication platform between students or between students and teachers, and talk and think as much as possible. This not only exercises students' expression and communication skills, but also greatly expands students' independent thinking ability and innovation ability, and comprehensively improves students' quality. In this mode, the classroom atmosphere is active, which stimulates students' interest and enthusiasm for participation, so that students can truly appreciate the fun of learning, thus deepening the memory and thinking vitality of the classroom and improving the teaching efficiency of the classroom.

2. Deepen understanding and enhance the ability of unity and cooperation.

Inquiry teaching is not that teachers ask questions and students solve them themselves, but that teachers set up problem situations and students cooperate in groups, communicate with each other and discuss them in depth. Moreover, before communication, every student can have enough time to think independently with his brain and enhance his self-confidence. Inquiry teaching mode can deepen mutual understanding, enhance emotion and enhance the ability of unity and cooperation.

Second, the application of inquiry teaching mode in senior high school mathematics teaching

1. Reasonable division of study groups

The inquiry teaching mode pays attention to students' cooperation and communication, and requires students to cooperate and communicate. Therefore, in the process of mathematics teaching, it is necessary to scientifically group the inquiry teaching modes. When grouping, we should pay attention to the level equality and gender balance between groups. This not only facilitates the management and guidance of teachers, but also enables students to learn from each other's strong points, enhance their feelings and form a normal classmate relationship. I don't think there should be too many people in each group, and it is best to have six people in each group. Each group should choose a team leader or implement the rotation system, and complete the communication and discussion with the help of teachers, so that each group can form a scientific collocation, maximize the potential of students, let each student participate in it and improve it, and also exercise the team spirit of each member.

2. According to the content of the textbook, set up the inquiry situation reasonably.

Any teaching activity is based on the content of teaching materials. Inquiry teaching is only a model of mathematics classroom teaching, which does not mean that inquiry teaching must be used in every class. We should choose the appropriate teaching mode according to the content of the textbook. For example, if the answers to some simple questions are clear, there is no need to use inquiry teaching. For some open and difficult contents, inquiry teaching mode can be adopted. This requires teachers to set up a reasonable inquiry situation according to the existing resources and teaching materials, so that students have a strong thirst for knowledge, explore the laws of mathematics and deepen their understanding of mathematics. For example, when talking about ellipses, you can set some related questions to introduce new lessons. For example, what do you think is an ellipse? What is the difference between an ellipse and a circle? Can you draw an ellipse with the existing tools? And so on. In view of these problems, students explore and solve problems under the guidance of teachers, acquire knowledge and improve their practical ability.

3. Ingeniously design questions and extend the content of inquiry.

In classroom teaching, teachers should design questions according to the knowledge points outside the textbook and the contents related to knowledge points in this course, so as to make the questions interesting, attract students' interest in learning, and change mechanical memory into active thinking and analysis, which can not only strengthen the memory of knowledge points, but also exercise students' inquiry spirit and habits, thus achieving the purpose of enhancing students' comprehensive ability.

Third, matters needing attention in the application of inquiry teaching mode

1. Teachers change their roles in teaching activities

Inquiry teaching is a student-centered teaching mode, which requires teachers to change the traditional teaching concept, take students as the main body, be the organizer and guide of teaching activities, build a new, democratic and equal relationship between teachers and students, become students' learning partners, encourage and stimulate students' independent learning ability and independent thinking ability, as well as their subjective ability and confidence in solving problems, so that students can get all-round development and progress.

2. Pay attention to students' differences when designing problems.

No two drops of water are the same in the world, and there are differences among students, and the personality differences of high school students are getting bigger and bigger. Inquiry teaching mode is a teaching method for all students. Therefore, when designing problems, we should pay attention to the personality differences of different students in order to guide and motivate different students to the maximum extent.

3. Extended questions should conform to students' cognitive rules.

In the teaching process, teachers should pay attention to the degree of grasping the extension of content, and fully consider students' cognitive rules and tolerance of extension questions and content to ensure that extension questions and content can be answered by students through inquiry, otherwise it will be counterproductive and dampen students' enthusiasm for exploration and learning.

Inquiry teaching is a student-centered teaching mode, which can be used to mobilize learning in senior high school mathematics classroom.