Mathematics Culture-The Penetration Of Mathematics Teaching In Senion High School

“Mathematical culture” is no stranger to the word for everyone, because the frequency of the use of the word has increased in recent years, that many people are more willing to pay attention to mathematics from the perspective of culture. In recent years, with the advent of the upsurge of research on mathematics culture, many excellent works have come out in succession. Some graduate students also made a master's thesis on the related problems of mathematical culture. Up to now, more and more people attach importance to the culture of mathematics, mathematics culture has become one of the focus of mathematics education.Mathematics as a kind of culture can not only improve our mathematical literacy, but also can cultivate sentiment, improve our cultural accomplishment. The history of mathematics not only a record of achievement, but also records the great mathematicians of the customer service process of hardships and dangers. Understanding of the mathematical branches of mathematicians and their exploration of the process, can help us to understand the source of great mathematical achievements,and in understanding these mathematics achievement at the same time, we can learn from the past experience, increase the interest in mathematics learning and self-confidence. Meanwhile, that can greatly broaden our horizons. We can not only increase the knowledge of our previous studies to a new height, but also from other disciplines to explore the development of mathematics in other laws. The typical cases in the history of mathematics can cultivate the thinking ability, the keen insight, the courage to question consciousness, the rich imagination, and the flexible mode of thinking. Therefore, it can be said that the understanding of mathematical culture is to understand the whole mathematical sciences.Because of the wide range of mathematical culture, it is difficult to introduce the content of mathematical culture into the middle school mathematics teaching, and the teaching effect is not ideal.This paper mainly from the two aspects of mathematical culture(mathematicians and their branches of Mathematics), focuses on the research of mathematics teaching how to infiltrate mathematical culture in high school. By introducing mathematicians anecdotes, it can stimulate students' interest in learning; by introducing the history of mathematics, it can help students to expand their knowledge and increase their knowledge.This paper mainly focuses on the research of the mathematical field of mathematicians and their related fields, and I`ll select several important branches in mathematics to analyze and discuss:(1)To understand the research background of mathematical culture, research status at home and abroad and research significance, and briefly introduce the meaning of mathematical culture.(2)To make a research on several branches of mathematics, which are closely linked with senior high school, mainly including the set theory: introducing Cantor and leading to set theory, discussing the birth of set theory and its research significance; series aspect: leading to series of classic examples- the Fibonacci sequence from the sources of historical series,and discussing the nature of the sequence and related issues. And leading to another mathematical genius- Gauss by a brief introduction of the classic series of books in high school textbooks and examples; analytic geometry: introducing Descartes and leading to Descartes' s analytic geometry, discussing the relevant classical application and its significance;plural aspects: introducing the source, the concept and significance of the complex number; calculus aspect:introducing the calculus founder: Newton and Leibniz, and their contribution to the calculus; euclidean geometry: introducing the origin of European geometry, and finally giving some suggestions on the high school geometry teaching; operations research aspect: introducing Von Neumann and John Nash, who are closely related to game theory and their contribution in game theory, and then leading to our high school linear planning department of the teaching suggestions.Finally, I will combine with my own understanding to make a summary for the above content.