Mathematics is beautiful, and people's love for beauty is particularly prominent in adolescence. Mathematics teachers should seize this best period and seize the opportunity to educate students in aesthetic education.
1. Use the beauty of simplicity in mathematics to arouse students' interest.
The concise beauty of mathematics means that the expression form, proof method and theoretical system of mathematics are concise and give people a sense of beauty. For example, the "perimeter" and "radius" of a circle have an unusually simple and harmonious relationship. In the formula "C=2πR", a legendary number "π" closely links them together, which makes people think about beauty.
In addition, the principle of minimum resistance tells us that the pressure tendency in solving problems always points to the side with the least resistance. The same is true for solving mathematical problems. Any simple and clear solution is always easy for students to choose and accept. Therefore, when I encounter a problem with multiple solutions, I often optimize the method of solving the problem by comparison, and then produce the beauty of simplicity in mathematics.
2. Use the symmetrical beauty in mathematics to increase students' interest.
Symmetry is the most aesthetic form. German mathematician Weil said: "Beauty is closely related to symmetry", and the beauty of symmetry in mathematics is numerous. Such as: the central symmetric figure, the axisymmetric figure and the rotationally symmetric figure in geometry. Bigrat also said: "The most beautiful three-dimensional figure is a sphere, and the most beautiful plane figure is a circle." The two are perfect and symmetrical in any direction, which is really the most beautiful symmetry. As far as algebra is concerned, there are symmetric equations, symmetric identities and so on. These symmetrical forms can make people feel happy just by feeling. Therefore, if the factors of symmetrical beauty are constantly revealed in mathematics teaching, students will be influenced by beauty and consciously use the formal feature of "symmetry" to analyze and solve problems, and at the same time achieve the purpose of increasing students' interest.
3. Use the beauty of proportion in mathematics to consolidate students' interest.
There are many beautiful proportions in mathematics, the most typical of which is the "golden section". Leonardo da Vinci said: "The golden section is the principle of beauty, and all graphics that meet the golden section value are the most beautiful." "Aesthetic feeling is completely based on the sacred proportional relationship between the parts." The day before I studied the reading material "The Golden Section", I said to my students, "Do you want to know if your body shape is standard? If you want, go home and measure the length of your upper and lower figure and calculate their proportions. After learning the golden section tomorrow, you can get the answer. " The whole class was immediately attracted by this "golden section" and previewed this lesson enthusiastically and actively, and truly achieved the goal of "showing the beauty of mathematics, carrying out aesthetic education and giving full play to the aesthetic function of mathematics".
It is human nature to seek beauty, especially for middle school students in their youth. Therefore, in mathematics teaching, teachers should set the thinking situation for students from the aesthetic point of view, stimulate the aesthetic feeling of mathematics, let students immerse themselves in the enjoyment of mathematics, spontaneously generate the desire for knowledge, and easily and happily transition from perceptual to rational.
The beauty of figures, symmetry, algebraic harmony, logic and simple language symbols in mathematics enables students to understand the inner beauty contained in mathematics from the external beauty of mathematics, and then gain beautiful experience, appreciation and creation, generate happy emotions and stimulate learning enthusiasm.