The emergence of mathematical beauty requires two conditions: first, the existence of aesthetic objects. That is, mathematics itself has beautiful factors; The second is the existence of aesthetes. The process of mathematics teaching provides conditions for the cultivation of mathematical aesthetic ability-mathematical aesthetic education. Mathematical aesthetic ability is gradually cultivated in mathematical aesthetic activities. It mainly includes mathematical aesthetic perception, aesthetic imagination, aesthetic emotional activity ability and aesthetic evaluation ability.
The new mathematics curriculum standard clearly points out that we should pay attention to learning and understanding mathematics from students' life experience and existing knowledge. Mathematics originates from life, and there is mathematics everywhere in life. I think we can make full use of modern teaching methods in middle school mathematics teaching, create beautiful teaching scenes, turn mathematics activities into comprehensive aesthetic activities of perceiving beauty, appreciating beauty, expressing beauty and creating beauty, and let students love mathematics and learn it well. My attempt is:
First, create a beautiful teaching situation, so that students can perceive and appreciate beauty in mathematics activities.
Although mathematics knowledge is monotonous and boring, it contains rich factors that can stimulate students' interest. Therefore, in the new curriculum teaching, teachers should make full use of these factors, closely link mathematics knowledge with students' life practice, introduce topics from social life into mathematics classroom teaching, stimulate students' interest in learning, and make knowledge-seeking an internal motivation.
As we know, intuition is an important feature of aesthetic intuition, which requires the direct participation and feeling of the subject. Any excellent works and beautiful things, only through others' reporting or conveying, will not produce real aesthetic feeling. Only by seeing and listening in person can you feel the charm that shocks your heart. As the saying goes, "On paper, I don't know if it should be done." Aesthetic experience is that the subject mobilizes the re-created association and imagination on the basis of aesthetic intuition, and gets the aesthetic pleasure of the soul by being involved in works and practical activities.
Practice has proved that the deeper the intuitive feeling, the stronger the students' interest in learning and the better the effect of aesthetic education. Therefore, teachers should make full preparations for teaching, and can use various visual teaching methods, such as movies, television, computers, videos, model paintings, visits, interviews, etc., to guide students to increase their intuitive image feelings, thus forming students' rich aesthetic views.
The new curriculum reform places great emphasis on fully mobilizing students' enthusiasm in mathematics activities. I think the best way is to make them feel that their activities are interesting, because interest is the best teacher, which is especially important for students in the lower grades of primary school. As the ancients said, knowing is not as good as being good; Good people are not as good as happy people. People are always very interested in beautiful things. Therefore, with the help of modern teaching methods, we can create beautiful teaching scenes, make all kinds of activities in mathematics classroom "vivid" and "colorful", make learning activities have strong attraction, and urge students to actively participate in them, thus achieving teaching goals, which is especially effective for students in lower grades of primary schools.
Second, develop students' personality in subjective education.
Teachers should have a love of beauty and a pair of eyes to discover beauty, and be able to explore and refine the beauty of teaching content sensitively and accurately. Creating a scene in which mathematical knowledge is closely combined with real life makes students feel close to mathematics. Mathematics and life are not mysterious, and it also arouses students' interest in bold exploration.
The famous artist Rodin said: "Beauty is everywhere. It is not the lack of beauty in life, but the lack of eyes to find beauty. " The famous writer Wang Meng said: "Only when you are rich can you perceive the richness of the world, and only when you are kind can you perceive the beauty of the world." There are rich aesthetic factors in primary school textbooks. As the mathematician Procras thought, where there are numbers, there is beauty. Formally, Arabic numerals "1, 2, 3, 4, 5 ..." change in an orderly way, just like a string of beautiful notes and various geometric figures, full of symmetry and beauty of change. From the connotation point of view, mathematics expresses a high degree of abstraction and generalization of the objective world, which is beyond the reach of any language. Teachers should seriously understand and dig, and have a conscious awareness of aesthetic education. When preparing lessons, we should not only prepare knowledge points, but also prepare aesthetic points, and write them into the teaching design, making them an indispensable part of the teaching design. In addition to the aesthetic factors in the teaching materials, teachers can also supplement some aesthetic education contents according to the teaching needs.
Students' informal mathematical knowledge, the establishment of mathematical common sense and experience in life, must first rely on practical activities to make mathematical knowledge become a reality that students can see, touch and hear, and become a water and tree with roots. Teachers should be good at digging the life picture in mathematics content, making mathematics close to life, liberating students to the maximum extent, giving full play to their potential, and letting students learn mathematics in colorful activities, so as to facilitate their independent, harmonious and all-round development. Therefore, it is particularly important to implement subjective education and cultivate students' personality beauty. I always strive to create a democratic and harmonious atmosphere, encourage students to boldly question or put forward different opinions, cultivate students to be good at evaluating their classmates' answers, allow them to keep their own opinions, and guide students to answer questions in the way of "I think so ... my method is ... I think ...", thus ensuring that students are always in the main position of learning in the class.
Third, cultivate students' innovative beauty in open mathematics activities.
Let students experience the value of learning. Don't tie teachers and students to textbooks in teaching, let students memorize concepts and formulas that they think are boring. Choose the valuable mathematics content that students are willing to accept as the theme, introduce it from the reality of life, and closely link it with the reality of life in the process of new curriculum, so as to create an "angry" realm of "thinking" and "speechless" for students, stimulate students' interest and motivation in learning, and continuously enhance students' learning purpose.
Creativity is the vitality of art. In the eyes of aestheticians, beauty is a form of freedom. The creativity of teaching is manifested in the freedom of teachers' teaching personality. For example, teachers with different teaching contents can show different teaching styles, some are good at deductive reasoning, attracting students with the charm of logical thinking, and some use vivid and emotional advantages to intoxicate students ... They are like wonderful flowers in the teaching garden, fascinating and fascinating.
Innovation is to transcend the past and pursue beauty, so is students' study. Once students' learning activities are full of creativity, the learning process is full of beautiful charm and becomes a process of students' positive progress and self-improvement. It can be seen that cultivating students' innovative ability is to cultivate students' innovative ability. So I attach great importance to the cultivation of students' innovative consciousness. In the open mathematics activities, I pay attention to guiding students to study independently, protecting students' every spark of innovation and stimulating the innovation passion of the whole class. In math class, students enthusiastically put forward their own views, so our math class became lively and interesting, and everyone was trying to create their own share of beauty and excitement.
Beauty of simplicity, beauty of abstraction, beauty of transformation, beauty of logic, beauty of preciseness, beauty of numbers and symbols, beauty of magic of numbers, beauty of harmony between numbers and shapes, etc. There are many beautiful factors in these mathematical activities. Teachers should create beautiful teaching scenes in mathematics activities, arouse students' enthusiasm in class, and let them feel that mathematics class is very good in a happy and democratic atmosphere, in the process of active participation and in the continuous successful experience. Thus, we can insert the wings of happiness into the mathematics classroom, really pay attention to students' quality of life, make the classroom full of vitality, let students actively perceive beauty, appreciate beauty, express beauty and create beauty, and let students learn mathematics well under the influence of beauty.