1. acquire important mathematical knowledge, basic mathematical thinking methods and necessary application skills necessary to adapt to future social life and further development.

2. Initially learn to use mathematical thinking to observe and analyze the real society, solve problems in daily life and other disciplines, and enhance the awareness of applied mathematics.

3. Understand the close relationship between mathematics and nature and human society, understand the value of mathematics, and enhance confidence in learning mathematics well.

4. The course content should reflect the needs of society and the characteristics of mathematics, and conform to students' cognitive laws. It includes not only mathematical results, but also the formation process of mathematical results and the mathematical thinking methods contained in them.

5. The choice of course content should be close to students' reality, which is conducive to students' experience, understanding, thinking and exploration. The organization of course content should attach importance to the process and handle the relationship between process and result; We should attach importance to intuition and handle the relationship between intuition and abstraction; We should attach importance to direct experience and handle the relationship between direct experience and indirect experience. The presentation of course content should pay attention to hierarchy and diversity.