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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.