1. The cultivation of mathematical culture helps students to better understand the essence of mathematics. \x0d\ Mathematics is a rational thinking paradigm and cognitive model, not only some operation 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. \x0d\ 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 this process of discovery or invention, explore the source of mathematics knowledge, rebuild the connection between separated mathematics knowledge and realistic background, and let students actively explore and grasp the background and essence of mathematics 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. \x0d\ 3。 The cultivation of mathematical culture is helpful for students to understand the characteristics of mathematics. \x0d\ By studying mathematical thoughts, spirits, methods, viewpoints, languages and their formation and development, as well as the history of mathematics, mathematicians, mathematical beauty, mathematical education, the intersection of mathematics and humanities, and the relationship between mathematics and various cultures, the learned mathematical knowledge can be made more systematic. Students can deeply understand the characteristics of mathematics in the cultivation of mathematical culture: mathematics is abstract. The abstraction of mathematics has the following three characteristics: first, it retains the quantitative relationship or spatial form. Secondly, the abstraction of mathematics is formed through a series of stages, and its degree of abstraction greatly exceeds the general abstraction in natural science. The form of mathematics is abstract, but the content is realistic. As Lenin said: "All scientific (correct, solemn and not absurd) abstractions reflect nature more deeply, correctly and completely. Third, not only the concept of mathematics is abstract, but also the mathematical method itself is abstract. Leonardo da vinci said: "Where a mathematical science cannot be applied, and where it has nothing to do with mathematics, science has no reliability. "It can be seen that the second characteristic of mathematics is accuracy, that is, the rigor of logic and the certainty of conclusions, and the third characteristic of mathematics is the universality of application. In addition, mathematics has certain foresight. In engineering technology, the trajectory and impact point of rockets and missiles can be predicted by accurate calculation. \x0d\ 4。 The cultivation of mathematical culture is helpful to stimulate students' curiosity and innovative spirit. \x0d\ 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 should be appropriately introduced. Through the spread of mathematical culture and the cultivation of students' mathematical culture, students can wander in the ever-changing and developing mathematical culture, which will subtly stimulate students' thirst for knowledge 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.