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How to Realize the Integration of Teaching, Learning and Doing in Mathematics Teaching
How to achieve "integration of teaching and doing" and "integration of teaching and doing" in mathematics teaching is the teaching theory in the "life education" theory of the great people educator Mr. Tao Xingzhi. Explain it in Mr. Tao's own words: "Teaching and doing are one thing, not three things. We should teach while doing and go to school while doing. " In Mr. Tao's view, "teaching and doing in one" is not only a law of life, but also a law of education. It means that teaching methods should be based on learning methods and learning methods should be based on practice. "You should learn how to do things and teach how to learn. Teaching without doing is not teaching; Learning without doing is not learning. Teaching and learning are all centered on doing. " In this way, Mr. Tao requires that "teaching" and "learning" should be combined with "doing" and with real life activities. In this sense, it still plays an active role in high school mathematics teaching under the new curriculum standards today.

First of all, the combination of various elements in the process of mathematics teaching embodies "learning by teaching" and "promoting learning by teaching"

Under the new curriculum, mathematics teaching process is an important way to achieve the curriculum objectives, which highlights the cultivation of students' innovative consciousness and practical ability. Teachers are the organizers and guides of mathematics teaching process. When designing teaching objectives, selecting curriculum resources, organizing teaching activities, using modern educational technology and participating in school curriculum development, teachers must take quality education as the core, and at the same time face all students, teach students in accordance with their aptitude and creatively carry out teaching. Therefore, the process of mathematics teaching is that teachers let students adopt learning methods such as mastering, accepting, exploring, imitating and experiencing according to different learning contents, so that students' learning becomes an active and personalized process under the guidance of teachers. According to the curriculum standards, use teaching materials flexibly and creatively, make full use of diversified curriculum resources including teaching materials and school-based resources, expand students' development space, and effectively promote learning through teaching.

Second, in the process of mathematics teaching, the use of new textbooks comprehensively promotes quality education, which embodies the combination of "teaching" and "learning" and "doing". The new textbook is more in line with the age characteristics and cognitive rules of senior high school students, more suitable for students' autonomous learning and preview before class, and also conducive to teachers' implementation of quality education and cultivation of students' ability. Therefore, teachers should do a good job in teaching around the following points.

1. Introduce practical problems and cultivate students' awareness of mathematics application.

The new textbook highlights the connection between mathematics and practical problems, aiming at cultivating students' awareness of mathematics application. In the arrangement of teaching materials: the chart before the chapter is to show that mathematics comes from reality; The introduction before this chapter comes from practical problems; Many reading materials introduce mathematical models and application methods; Exercises also appropriately add topics related to practice, all in order to create an atmosphere related to practical problems. Teachers should make full use of this teaching resource and cultivate students' awareness of using mathematics in the teaching process.

2. Carefully guide students to read textbooks, and explore and acquire knowledge independently in the preview.

The new textbook is a comprehensive knowledge system, which is more suitable for students' autonomous learning and preview before class. And a student who is good at reading textbooks in advance and exploring knowledge by himself, through reading, has a certain rational understanding of knowledge, gradually improves his interest in learning mathematics and becomes more active in learning. Therefore, teachers should encourage students to preview and read textbooks in advance and actively explore mathematics knowledge. In the teaching process, we should grasp the characteristics of the new textbook, and spend 10~ 15 minutes in each class to read the textbook to students, so that they can understand the ins and outs of knowledge and form their own knowledge system. In the process of reading, we should pay attention to: set the learning methods and learning objectives of this lesson, stimulate students' interest and motivation, and let students read with questions and strong thirst for knowledge; Ask students to put forward their own questions and opinions; Encourage students to actively discuss controversial issues, try to get answers in groups, and give positive affirmation even if they are wrong. When reading in class, students with good academic performance are actively encouraged to preview and read textbooks in advance, and the problems that are not mentioned are regarded as a kind of interest, fun, and even competition among students, thus realizing a virtuous circle of mathematics learning. 3. Create problem situations appropriately to arouse students' enthusiasm in learning mathematics.

Appropriate problem situations can stimulate students' interest and motivation in learning, make them have a strong desire to be suspicious and puzzled, and then turn them into curiosity, thus mobilizing students' enthusiasm and initiative in learning and achieving the purpose of improving classroom teaching effect.

From the teaching point of view, the teaching that emphasizes conclusion over process is just a kind of "formal shortcut" teaching, which turns the vivid process of forming conclusion into monotonous and rigid recitation of articles and strips away the internal relationship between knowledge and intelligence. This is actually the strangulation of students' wisdom and the destruction of students' personality. Emphasizing process means emphasizing students' experience of exploring and acquiring knowledge. It can not only enable students to cultivate various abilities in the process of acquiring knowledge, but also make the knowledge they have learned more solid. Exploring this "doing" process is a necessary process for a person to learn, develop and innovate, and it is also an inherent need for the development of a person's ability and wisdom. It is an inestimable "long-term effect", and the time and energy spent should be said to be a price worth paying.

4. Use "practical assignments" and "research projects" to cultivate students' practical ability and innovative spirit.

"Internship assignments" and "research projects" aim to cultivate students' practical and innovative abilities. They are an important measure of textbook reform in China, a major feature of new high school mathematics textbooks, and a powerful embodiment of the combination of "teaching" and "learning" in Mr. Tao Xingzhi's educational thought. However, due to the influence of utilitarianism, they are also the most easily forgotten corner of teachers.

In the teaching process, this part of the content can take the principle of combining classroom and extracurricular activities, make full use of students' Sunday, winter and summer vacations, and encourage students to make a good research study plan for their holidays while learning related content, and arrange class hours to communicate and demonstrate the feasibility of the plan. Social practice is carried out during holidays to encourage students to go to society.

To sum up, the curriculum reform should not only stay in the form, but also go deep into the actual teaching work. Through the curriculum reform, the ideas, concepts and methods in actual education and teaching can be truly changed, and the educational thought of combining "teaching" with "learning" and "doing" can be fully embodied. Learning content should focus on cultivating students' basic ability and correct attitude towards life in daily life, so as to realize the purpose of life-oriented curriculum. ;