Key words: aesthetic education, mathematics education, cultivating sentiment 1. Show the beauty of mathematics and stimulate interest in learning. Psychological research shows that compulsory learning without the slightest interest will stifle students' desire to seek truth. Interest is one of the driving forces of thinking, and interest is a powerful and lasting driving force for learning. Only when students love mathematics can they have positive and lasting learning motivation. Therefore, teachers should make full use of the induction of mathematical beauty to stimulate students' strong interest in learning and desire for knowledge. The specific methods are as follows: First, through vivid practical examples and visual teaching AIDS, organize students to carry out practical operations and introduce mathematical concepts, theorems and formulas, so that students can feel the close connection between mathematics and daily life; The second is to introduce the history and progress of mathematics to students and its wide application in socialist modernization, so that students can see the usefulness of mathematics and make it clear that today's study is for tomorrow's application; Thirdly, according to the content of the textbook, students are often selectively introduced to some vivid mathematical allusions, anecdotes and stories of Chinese and foreign mathematicians exploring the mystery of the kingdom of mathematical thinking; Fourthly, according to the needs of teaching and the level of students' intellectual development, some interesting and thoughtful mathematical problems are put forward; Wait a minute. Second, integrate the beauty of mathematics and deepen the understanding of knowledge. Mathematical beauty is an advanced form of beauty, which is characterized by infinitely rich perceptual content in abstract rational form. In teaching, teachers give students aesthetic intuition with a lot of vivid perceptual materials, and give students concrete and intuitive images with abstract and boring mathematical concepts, formulas and theorems, and then upgrade them to rational images and become plastic arts between letters and operational symbols, so that students can easily accept and understand what they have learned. Teachers demonstrate aesthetics through rigorous reasoning, vivid language, beautiful graphics and scientific blackboard writing. Create a thinking situation and integrate the characteristics of mathematical beauty such as simplicity, unity, harmony and symmetry into the whole teaching process, so that students can acquire, understand and master knowledge in the enjoyment of beauty. Understand the true meaning of mathematical beauty in a subtle way. Teachers can help students to further consolidate and deepen their understanding and application of what they have learned, improve teaching quality, and get twice the result with half the effort by guiding students to compare and summarize what they have learned, revealing internal laws, forming an orderly structural system and teaching students the methods of induction and arrangement. For example, teachers guide students to draw some common problems, such as a cone inscribed with a regular prism, a cone inscribed with a cylinder, a sphere inscribed with a cylinder, a sphere inscribed with a cone, a sphere inscribed with a cone, a sphere inscribed with a cone, a sphere inscribed with a cube, a sphere inscribed with a cube, a sphere inscribed with a cube, a sphere inscribed with a cube and all sides of the sphere and the cube are tangent to the sphere inscribed with a cube. According to the definitions and properties of polyhedron and rotator, the spatial position relationship between "Lian" and "Tangent" and the mutual quantitative relationship between elements are summarized, so as to find the cross section to solve the problem and the way to transform the spatial problem into a plane problem. These beautiful and symmetrical figures enable students to see the beautiful image and appreciate the charm of beauty. Third, create the beauty of mathematics and cultivate thinking ability. One of the basic tasks of middle school mathematics teaching is to develop students' thinking ability in the process of imparting mathematical knowledge and cultivating skills. According to the characteristics of teenagers who are "thinking" and "active", in teaching, teachers encourage students to think in many directions, innovate and find out the best method through the singular beauty of mathematics such as multiple solutions (proofs) to a problem, changing the method of a problem and changing the diagram. Teachers should be good at grasping teaching mechanism, creating thinking realm and enlightening students' thinking with mathematical beauty. When students feel the most sensitive, intense and profound beauty of mathematics, their thinking also enters the best period. Logical thinking and inspirational thinking blend and promote each other, and their intelligence is fully exerted. Once the inspiration appears, they will feel the joy of creating mathematical beauty and the pleasure after success. There is no doubt that their thinking ability has also been cultivated and improved. Most students can give four kinds of proofs through comparison, synthesis, analysis and reduction to absurdity, and initially enjoy the joy of success. Teachers seize the opportunity to prompt students to think differently, encourage students to be unconventional, guide students to observe the overall structural characteristics of the formula, explore the hidden conditions in the question, and seek other proofs. The induction of mathematical beauty aroused students' strong interest and inspired their thinking activities. After observation, analysis and association, some students gave some novel proofs, including a triangle proof. Students personally feel the strange beauty of mathematics and revel in the pleasure of creating mathematical beauty. This can be regarded as a creative discovery for students. At this time, the emotions of teachers and students blend, and the flexibility, divergence, profundity and originality of students' thinking are cultivated and improved. Fourth, explore the beauty of mathematics and cultivate ideological sentiment. Aesthetic education in mathematics, like literature and art, has potential ideological education function. However, mathematical beauty is an advanced form of beauty. For those who lack mathematical literacy, especially teenagers, it is impossible to feel and experience as easily as literature and art. This requires teachers to constantly improve their professional knowledge and aesthetic cultivation, carefully study textbooks, explore and refine aesthetic education factors contained in textbooks, create a harmonious, beautiful and pleasant learning environment and atmosphere for students, and guide students to discover and feel beauty according to the laws of beauty. Its core is to let students open their hearts under the influence of beauty through emotional education, and pursue the truth, goodness and beauty of the objective world with their own knowledge, meaning and feelings, thus leading to spiritual sublimation, emotional voice, beautifying the soul, purifying feelings and cultivating sentiment. It can also play a positive role in cultivating students' good personality and forming a correct outlook on life and a perfect view of the world. For example, introducing students to the wide application of mathematics in the modernization of the motherland and the latest science and technology not only inspired their confidence and determination to learn mathematics well in order to realize the four modernizations and revitalize China, but also beautified students' hearts; Introducing the history of mathematics development in China to students, introducing the outstanding achievements of ancient mathematicians in China and the great contribution of modern mathematicians to the development of mathematics not only stimulated students' interest in learning, but also educated them in patriotism.