The two-way theory of mathematics holds that mathematics comes from reality, exists in reality and is applied to reality, and each student has his own different "mathematical reality". One of the tasks of mathematics teachers is to help students construct mathematical reality and develop their mathematical reality on this basis. Therefore, in the teaching process, teachers should make full use of students' cognitive laws, existing life experience and mathematical reality.

Extended data

When applying the two-way theory of mathematics, we should pay attention to the following points:

1. The content of mathematics teaching comes from the real world. Take the most basic and core mathematical knowledge and skills that best reflect the needs of modern production and modern social life as the content of mathematics education.

2. The content of mathematics education should not only be confined to the internal relations of mathematics, but also study the external relations and relations between mathematics and various fields in the real world. Only in this way can students get rich and colorful and complicated contents of "realistic mathematics" and master a relatively complete mathematical system. On the other hand, students may also apply what they have learned in mathematics to the real world.

3. Mathematics education should serve all people and meet the needs of people of different levels in all fields of the whole society for different levels of mathematics.