The meaning and characteristics of mathematical culture 1. The meaning of mathematical culture Since mathematics is a kind of culture, as a part of human culture, the connotation of mathematical culture needs to be determined by the nature of culture and the characteristics of mathematics. Mathematics culture, that is, "put mathematics in the whole cultural environment to investigate" @, in other words, it is to understand mathematics from a cultural perspective and explore mathematics from a cultural perspective. Studying mathematics as a culture should not be confined to the category of science, because the meaning of culture is broader than that of science, because culture is the development of life and a way of life formed by civilization. As one of the basic cultural activities of human beings, mathematical culture is closely related to the overall culture of human beings. "It not only shines with the light of human wisdom, but also is the achievement of human spiritual civilization. Its development also fully embodies the endless pursuit of truth by human beings. " ④ From a systematic point of view, mathematical culture can be expressed as a powerful dynamic system, with mathematical science as the core and mathematical thought, spirit, method, technology and theory as the organic components to radiate related cultural fields. According to the concept of culture, mathematical culture should refer to the material products and spiritual products created by human beings in the history of mathematical activities. Material products are the leading part of mathematical culture, including propositions, methods, problems and languages.
1, mathematics affects personal aesthetics.
The beauty of simplicity (abstract beauty, symbolic beauty, unified beauty, etc.). ), harmony (symmetry beauty, formal beauty, etc. ) and strangeness (limited beauty, mysterious beauty, etc. It is embodied in the fact that mathematics itself will edify students with beauty, the laws revealed by mathematics will deepen students' understanding of beauty, and the process of learning mathematics will also make students realize the spiritual beauty of mathematics as the crystallization of human wisdom.
2. Mathematics affects people's logical thinking.
Human development is the development of left and right brain, rational thinking and perceptual thinking, and the all-round development of human beings. Rational thinking is a kind of thinking with clear thinking direction and sufficient thinking foundation, which can observe, compare, analyze, synthesize, abstract and summarize things or problems. Simply put, rational thinking is a way of thinking based on evidence and logical reasoning. Starting from Socrates and Aristotle, it is more rational thinking. There are thousands of roads leading to rational thinking, all of which must pass through the kingdom of mathematics. Mathematical thinking is the indirect or generalized response of human brain to objective things by using special mathematical symbols in the process of interacting with mathematical objects according to mathematical forms or laws. Its characteristics are abstraction and generalization, synthesis and analysis, induction and analogy.
3. Mathematics affects people's illogical thinking.
Non-logical thinking includes intuition and conjecture, inspiration and epiphany. Intuition means that the thinker is unaware of the thinking process between premise and conclusion; Epiphany refers to unconsciousness and quickness. Epiphany refers to quick intuition; Inspiration refers to non-feeling, quickness and induction. Inspiration refers to an induced epiphany.
Mathematics, mathematics, mathematics, social value of culture, social value of culture.
1, create a beautiful objective environment
Mathematical culture includes both material factors and spiritual factors. At present, the creation of campus culture and urban culture has become the main content of socialist spiritual civilization construction, and the beauty of strangeness, symmetry and harmony in mathematics has been fully demonstrated. This aesthetic is also reflected in life practice. For example, the ratio of the width-length ratio of the human trunk to the two included angles projected by two adjacent leaves on the plane perpendicular to the trunk is 0.6 18, which is beneficial to ventilation. Famous painting: 0.6 18 is fully utilized. Architecture: such as the characteristic points of architecture, doors and windows, the golden section embodies beauty and practicality, and connects man and nature.
2. Promote social and economic development.
Mathematics needed in natural science and engineering technology is mainly applied mathematics, which is the foundation of all science and technology. The application of mathematics permeates all fields, and all walks of life rely on mathematics more and more. It can even be said that today's society is becoming more and more mathematical. From the perspective of science and technology, many new branches (interdisciplinary subjects) have emerged, especially those combined with mathematics, such as mathematical chemistry, mathematical biology, mathematical geology, mathematical psychology, mathematical linguistics, mathematical social science and so on. The establishment and development of these disciplines are closely related to society, economy and people's lives.
3. Improving the social and cultural level Social science and cultural level can not only test the scientific level of a country, but also improve the cultural level of a nation, in which mathematics plays an irreplaceable role. Everyone needs mathematics in social life. Why do we attach so much importance to mathematical consciousness? And regard it as the motive force of mathematics development and an important factor of value standard? At present, people only pay attention to practical and scientific aspects, and aesthetic taste, intellectual challenge and spiritual pleasure are either not recognized, even if they are recognized, they are considered as secondary factors. But in fact, practical, scientific, aesthetic and philosophical factors have promoted the formation of mathematics. Removing any of these contributing and influencing factors, or raising one while belittling the other, is not conducive to social and cultural awareness and social stability. At the same time, mathematics has a certain educational function for people, which can make people feel diligence and self-improvement, truth-seeking and honesty, rationality and self-discipline, wisdom and innovation, cooperation and democracy.
I hope it helps you.