The four foundations in the new curriculum standard are: basic knowledge, basic skills, basic ideas and basic activities. With the development of the new era, the double basics (basic knowledge and basic skills) in traditional mathematics can no longer adapt to modern mathematics teaching, and even affect the reform and development of mathematics curriculum. The "four basics" proposed by the new curriculum standard is an important embodiment of good mathematics education for students, which is related to their current study and development. The four basics should run through the whole mathematics teaching and be reflected in different classes and different teaching fields. In specific teaching practice, whether it is the positioning of teaching objectives, the design of teaching activities, the presentation of teaching content or the process of teaching development, we should consider how to attach importance to and embody the four basics. The four basics emphasize the cultivation of students' two abilities, namely, the ability to find and ask questions, the ability to analyze and solve problems. The two abilities reflect the basic process of students' innovative learning and are also a complete process of exploration and research. Only when we have a thorough and concrete understanding of curriculum standards and courses can we handle knowledge and skills well. The relationship between the three abilities can improve the effectiveness of mathematics teaching.