Extended data
In the compulsory education stage, mathematical vision is mainly manifested in abstract ability, geometric intuition, spatial concept and innovative consciousness. At this stage, students begin to contact with more abstract mathematical concepts and problems, and they need to use abstract thinking ability when solving mathematical problems. They need to understand and apply abstract concepts such as symbols and formulas, and turn practical problems into mathematical language to solve them.
Geometric intuition is an important content of mathematics education in compulsory education stage. Through the study of geometry, students can cultivate their intuitive perception of graphics, and then develop their understanding and cognitive ability of space. Geometry can cultivate students' geometric intuition and improve their spatial imagination by allowing students to observe, compare and reason.
The concept of space also plays an important role in mathematics education of compulsory education. By studying geometry and space geometry, students gradually form a knowledge and understanding of space. The concept of space includes not only the cognition of three-dimensional space, but also the cognition of plane space. It is the basis of understanding and solving mathematical problems and the key to developing innovative ability.
Innovative consciousness is an important goal of mathematics education in compulsory education stage. Mathematics is not only the mechanical operation and application of existing problem-solving methods, but also requires students to have innovative ways of thinking and methods. In the process of solving problems, students need to find problems, make guesses, try different solutions, and demonstrate and verify them. Cultivating students' innovative consciousness can stimulate their thinking vitality and practical ability and promote their creativity and innovative ability.
In teaching practice, students can be guided to explore and their curiosity and thinking motivation can be stimulated by designing creative math problems. At the same time, we should also pay attention to cultivating students' abstract thinking ability and help students understand and use abstract concepts through models, charts and other forms. In addition, we should cultivate students' geometric intuition and spatial concept, and deepen their understanding of geometry and space through observation and practice.
In a word, mathematical vision in compulsory education stage is mainly manifested in abstract ability, geometric intuition, spatial concept and innovative consciousness. Reasonable teaching design and methods can help students cultivate these horizons and promote the all-round development of their mathematical thinking and ability.