The basic knowledge and skills of mathematics are the original "double bases". Teachers should know. The Curriculum Standard is divided into four parts:

I. Numbers and algebra

Two. Space and graphics

Three. Statistics and probability

Four. practical activity

I won't go into details here.

China's mathematics education has always attached importance to "basic ideas", and the revised curriculum standards put more emphasis on axiomatic reasoning (deduction and induction)

, analogy), conversion

Number-shape combination

, model ideas, etc. , trying to further carry forward the excellent inheritance of mathematics education in China.

The proposal of "basic activity experience" means that mathematics teaching attaches importance to the process. In fact, mathematics itself has the nature of experience. On the one hand, as Kant said, all knowledge begins with experience. On the other hand, human understanding of the world must go through the process of "sensibility-rationality-sensibility", in which perceptual knowledge pays attention to experience in time. It is worth noting that the characteristics of mathematical activity experience are always associated with inquiry activities. Attaching importance to basic activity experience means attaching importance to giving students a more complete mathematical process: discovering phenomena, asking questions, guessing, verifying (demonstrating), analyzing, solving, summarizing and so on. (New Curriculum Standard for Nine-year Compulsory Education)

As for the things about mathematics in high school universities, I suggest you go to the websites of related categories to inquire.