In the compulsory education stage, mathematical vision is mainly manifested in: (abstract ability) (including number sense, quantity sense, symbol awareness), (geometric intuition, spatial concept and innovation awareness).

The course content presentation focuses on the hierarchy and diversity of mathematical knowledge and methods, with appropriate consideration (interdisciplinary subject learning).

In the compulsory education stage, mathematical thinking mainly manifests as: (operational ability, reasoning awareness or reasoning ability).

In the compulsory education stage, the main manifestations of mathematical language are: (data awareness or data concept, model awareness or model concept, application awareness).

Core competencies have (wholeness, consistency and stage) and have different performances at different stages

1. The idea of ??using letters to represent numbers is one of the basic ideas of mathematics. one. This idea is mainly reflected in Chapter 2 of Volume 1 of "Algebra", "Basic Knowledge of Algebra".

2. The idea of ??combining numbers and shapes is one of the most important and basic ways of thinking in mathematics. It is a valid idea for solving many mathematical problems. Professor Hua Luogeng, a famous Chinese mathematician, has a famous saying: "Numbers are shapeless, not intuitive, countless, and difficult to be detailed."

Fundamentally speaking, the ultimate value of mathematics education in primary and secondary schools does not lie or mainly in cultivating future mathematicians, but in cultivating people's mathematical ideas and problem-solving methods, and developing the mathematics in their minds. space, thereby promoting the all-round development and improvement of people. Specifically, mathematics in the compulsory education stage "emphasizes starting from students' existing life experiences.

Let students experience abstracting practical problems into mathematical models for The process of explanation and application enables students to gain understanding of mathematics and at the same time progress and develop in many aspects such as thinking ability, emotional attitude and values.