Mathematics is a rational thinking paradigm and cognitive model. It is not only some operating rules and transformation skills, but also a way of thinking that can benefit people for life.

Therefore, we should always pay attention to this essential feature of mathematics in teaching practice, avoid the tendency of simply pursuing knowledge in mathematics learning, and pay attention to the cultivation of ability and thinking.

In teaching, students can fully perceive that mathematics is not only a tool of knowledge, language, nature and society, but also a collection of thinking methods and art with aesthetic characteristics by studying the connotation and existence value of mathematics culture and the understanding of mathematics culture by the nation and the world.

Through the cultivation of students' mathematical culture, students can construct the connection between mathematical knowledge and deeply understand the essence of mathematics, so as to achieve the goal of lifelong benefit. So as to better apply mathematics to society and create more wealth for society.

2. The cultivation of mathematical culture is helpful to improve students' mathematical literacy.

The cultural value of teaching materials should be fully explored in teaching. The connotation of mathematical culture is not only reflected in knowledge itself, but also in its history. Mathematics is a historical existence.

Therefore, in the teaching process, the whole process of the generation and development of mathematical knowledge has been fully revealed. Mathematics is both creative and inventive. As big as a subject and as small as a symbol, it always comes out of some kind of thinking under a certain cultural background. Our mathematics education should strive to restore and reproduce the process of this discovery or invention and explore the source of mathematics knowledge.

Rebuild the connection between separated mathematical knowledge and realistic background, so that students can actively explore and grasp the background and essence of mathematical problems. In a word, both mathematics as a science and mathematics as a course show a cultural realm full of human creativity and imagination.

Through the cultivation of mathematical culture, students can think positively and express their mathematical thoughts in their own language, so as to put forward new ideas, new concepts and new methods reasonably. Combining the cultural background of mathematics, let students think and solve problems comprehensively and from multiple angles, and then cultivate their scientific attitude and rational spirit.

The benefits of mathematics culture to middle school students;

The purpose of learning is to "apply what you have learned", and practice makes perfect in the process of application to make innovations. Mathematics is not boring but full of vigor and vitality. It has its mysterious beauty. There are still some conjectures in mathematics, such as Riemann conjecture, Goldbach conjecture and four-color conjecture, which have not been completely solved.

In the process of effectively guiding students to try to solve these conjectures, the development process in the long history of mathematics is appropriately introduced, and through the spread of mathematical culture and the cultivation of students' mathematical culture.

Let students wander in the changing and developing mathematical culture, subtly stimulate students' curiosity and innovative consciousness, and expand their thinking. "Learning comes from thinking, and thinking comes from doubt", "It is better to believe in books than to have no books", so that students dare to explore in doubt.