1. Mathematics education is the basic subject education in primary and secondary schools. Its educational significance, like other disciplines, is not only limited to mastering disciplines, but also reflected in its rational promotion of people's quality development, which is one of the most profound and effective parts of people's cultural literacy.

2. Reform direction of mathematics education in economically developed countries: The focus of school mathematics has shifted from dual tasks-teaching the least mathematics to most people and teaching advanced mathematics to a few people-to a single center, teaching the most important core of mathematics to all students. From the authoritative mode based on transmission to the student-centered practical activities characterized by inspiring learning. From the emphasis on preparing for the follow-up content to emphasizing what students need now and in the future. From the original emphasis on the calculation of a piece of paper and a pen to the comprehensive application of calculators and computers.

3. Mathematics in primary and secondary schools contains factors that promote people's future development. This is people's mathematical quality, and its core is people's thinking quality.

4. Mathematics teachers' teaching experience has three levels: showing solutions, showing ideas and showing the process of finding ideas.

5. The significance of mathematics education lies in cultivating, enlightening and enriching people with the quality of the subject itself, and promoting the all-round development of people's quality.

6. Mathematics education is a kind of culture, which enables people to acquire mathematics literacy and better understand and appreciate the civilization of modern society; It is a prescription that makes people be good at living and doing things, and can improve work efficiency in modernization; It is a kind of spirit and attitude that makes people seek truth from facts, persevere and pursue unremittingly; It is "gymnastics of thinking", which makes people think sharply and express clearly.

7. Important features of mathematics-abstraction, rigor and systematicness.

8. The significance of mathematical thinking education lies in cultivating people's sense of numbers, mathematical concepts and mathematical thoughts. Mathematics education is to expand the mathematics space in people's minds.

9. Mathematics-related abilities-mathematization, axiomatization and formalization.

10, strive to mathematicize external phenomena, pay attention to the mathematical aspects of phenomena, pay attention to the relationship between space and quantity, and rely on functions everywhere.

1 1, mathematics, cultivate the will to learn, cultivate people's generalization ability, cultivate people's awareness of seeing problems, cultivate people's abstract consciousness, cultivate people's good thinking habits, form good thinking strategies, enhance people's reaction ability and improve people's thinking organs.