2. Mathematics, as a cultural phenomenon, has already become people's common sense. Historically, cultural celebrities in ancient Greece and Renaissance were often mathematicians themselves. Plato, Thales, Leonardo da Vinci and other famous representatives. Recently, cultural celebrities such as Einstein, Hilbert, Russell and von Neumann were also the founders of mathematical civilization in the 20th century.

3. At the beginning of the 20th century, there appeared an isolationist tendency in mathematics that was divorced from social culture, and it has been affecting China today. The over-formalization of mathematics makes people mistakenly think that mathematics is just a "free creation" imagined by a few geniuses. The development of mathematics does not need the promotion of society, and its truth does not need the test of practice. Of course, the progress of mathematics does not need the edification of human culture. As a result, the "revival of empiricism" appeared in the western mathematics field. White's mathematical culture theory tries to return mathematics to the cultural level. Klein's Ancient and Modern Mathematical Thoughts, Mathematics in Western Culture and Mathematics: The Loss of Determinism came out one after another, trying to create a humanistic color of mathematical culture.

4. The earliest scholar who paid attention to mathematical culture in China was Sun Xiaoli, a professor from Peking University. The book Mathematics and Culture, co-edited by her and Deng Donghao, has collected the relevant expositions of some famous mathematicians, and also recorded the thinking on mathematical culture from the perspective of dialectics of nature. Mathematics and Culture, published later by Qi, mainly expounds the cultural value of mathematics from the history of non-Euclidean geometry, especially points out the cultural significance of mathematical thinking. Zheng Yuxin's monograph "Mathematical Culturology" and so on. It is characterized by emphasizing the cultural effect produced by "mathematical isomorphism" with social constructivism philosophy. The above works and many papers try to liberate mathematics from the circle of pure logical deduction and reasoning, focusing on the analysis of the history of mathematical civilization, fully revealing the cultural connotation of mathematics and affirming the value of mathematics as a cultural existence.

5. After entering the 265,438+0 century, the research on mathematical culture is more in-depth. An important symbol is that mathematics culture has entered the classroom of primary and secondary schools and penetrated into the actual mathematics teaching, so as to make students really be infected by culture in the process of learning mathematics, produce a cultural upsurge, experience the cultural taste of mathematics and observe the interaction between social culture and mathematics culture.