The development of mathematics is continuous and human understanding is regular, so it is necessary to pay attention to mathematics education from the perspective of mathematics history.
I think the history of mathematics has the following three meanings to mathematics education.
1. Humanities education stimulates students' interest. For example, biographies of mathematicians and stories of the history of mathematics;
2. Understand the knowledge of mathematics and treat the development of mathematics profoundly. For example, the famous history of mathematics and the topic of mathematical paradox.
3. Provide theoretical guidance for mathematics education from the essence of mathematics development. It should be noted that the laws of human cognition are basically the same. Studying the predecessors' learning mathematics and finding the difficulties and mistakes in mathematics are also the difficulties and mistakes of students' learning now. Consider reforming mathematics teaching from this angle. This is the most essential promotion and influence.
The above three levels are the process of the influence of mathematics history on mathematics education from low to high.
For different stages of education, although there are books on the history of primary school mathematics and middle school mathematics ... in the world, I think these books are all to cater to educational psychology, and the history of mathematics can penetrate into mathematics education without doing it yourself, but the contents and effects of the books are very poor.
I recommend that young teachers must teach themselves the history of mathematics if they want to make a difference in teaching, and they will see a lot of mathematics content different from textbooks. I recommend some books to study. Only Chinese is recommended:
Liang Zongju's General History of World Mathematics (Volume I); Victor J Katz's General Theory of Mathematical History has a Chinese translation in China. It is enough to learn only half of two books.
This road is long and challenging, and it is also the direction of modern mathematics education reform.