1. Teachers can effectively organize and guide students to carry out research-based learning characterized by inquiry, so that acceptance and inquiry complement each other, and students' learning realm is higher and learning effect is better.

2. Teachers' encouragement to students is neither formal nor concrete and sincere. Students' mistakes can be pointed out and corrected in a timely and appropriate manner.

3. Guide your teaching behavior with the new concept of curriculum reform and interpret your teaching thoughts with your own teaching behavior.

4. It can effectively guide students to learn to use mathematical thinking to solve problems in daily life.

5. The teacher's sentence "Let's study and explore together." -It promotes the integration of knowledge, embodies multiple value orientations, and promotes the all-round development of students' cognition.

6. This class is very successful and refreshing. No matter the design of guiding ideology course, it fully embodies the new concept and essence of mathematics.

7. Reorganize the teaching materials and try to make students experience the whole process of inquiry learning.

8. The design of inquiry activities is to internalize and form new knowledge on the basis of perceptual experience through hands-on thinking and personal practice, rather than simply teaching students.

9. Students can cooperate scientifically and reasonably in the learning process, listen to others' opinions, express their views freely, and cooperate with other students to solve problems together when encountering difficulties.

10. Teachers can teach in an orderly manner according to the system of curriculum standards and teaching contents, realize basic goals such as knowledge and skills, and pay attention to the realization of students' development goals.