How to cultivate students' geometric intuition ability in primary school mathematics teaching
Hua, a famous mathematician in China, said: "It is difficult to be nuanced and the lack of shape is even less intuitive." Geometric intuition is a powerful tool to reveal the essence of modern mathematics, describe geometric or other mathematical problems with graphics, explore solutions to problems and predict results. Geometric intuitive ability can better understand the essence of mathematics, make students experience the creative work process of mathematics, develop their creative passion and form good thinking quality. So how to cultivate students' geometric intuition ability and how to give full play to the teaching value of geometric intuition? The following is my opinion: 1. Let students gain an understanding of graphics through active participation. Pay attention to students' basic life experience and life experience in teaching, and pay attention to guiding students to connect their feelings about graphics with related knowledge. In the process of students' active participation in learning, I give students an intuitive understanding visually through a set of pictures, and draw a straight line, which makes students very happy. Learning intuitive geometry, as the book says, makes use of students' favorite specific practical activities, such as "looking, stacking, cutting, spelling, putting, measuring and drawing", and guides students to coordinate their vision, hearing, touch and kinesthetic sense through personal touch, observation, measurement, production and experiment, which effectively promotes the internalization of psychological activities. 2. Pay attention to cultivating students' ability to read and draw pictures, which is the soul of geometry. Knowing pictures is the most basic accomplishment in learning geometry. When teaching line segment ray straight line representation, we should demonstrate by ourselves, emphasize the names and details of pictures, let students draw pictures in practical problems, and correct each other at the same table, which is better than who draws them. Students will be more serious and standardized when drawing, and consolidate the basic painting method again in the process of correcting each other, killing two birds with one stone. 3. Do more translation between written language, symbolic language and graphic language. In geometry teaching, students are trained to express their theorems, axioms and definitions in three languages. After such training, students' spatial imagination ability and theorem understanding and memory ability have been greatly improved. When introducing the definition of ray and line segment, I converted written language into graphic language, and then converted graphic language into written language in three representations. The important axiom of straight line and "I say you draw" are actually simple graphic language transformed into written language, which consciously guides students to further improve their spatial imagination. 4. Using multimedia information technology, multimedia technology not only shows students a colorful graphic world, but also provides a way to solve problems. When students begin to explore how many straight lines there are in a point, although they find that there are countless straight lines, multimedia shows students its unimaginable graphics, expands students' spatial vision, and truly experiences that there are countless straight lines in a point.