Why is it that18th century mathematics thought is still difficult to learn?
Mathematics has always been the main cultural force in the development of human civilization, and the development of human culture has greatly affected the progress of mathematics; And mathematics is an art, so mathematics has not only scientific value, but also cultural and artistic value. 1. The meaning of mathematical culture "Cihai" cultural chapter: refers to the sum of material wealth and spiritual wealth created by human beings in social and historical practice. Culture embodies a certain value orientation of society and invisibly regulates people's behavior. Regarding the definition of culture, no matter what the academic point of view is, in the final analysis, the cultural form created by human beings is truly mature only if it is completely dissolved in people's lives. Mathematics is a science that studies the relationship between spatial form and quantity. Its content, ideas, methods and language have become an important part of culture. Mathematical concepts, such as reasoning consciousness, classification consciousness, whole consciousness, abstraction consciousness and mathematical aesthetic consciousness, also play a role in the spiritual field, which contains profound humanistic spirit. It has a special cultural connotation. 2. Mathematics and cultural quality Mathematics makes people imperceptible, and the scientific thinking quality formed by mathematics will play an important role in future study and work. Great scientists Newton and Einstein can make great contributions, which is inseparable from their superb mathematical knowledge and superb mathematical quality. Plato once posted a list at the gate of his philosophy school. People who don't know geometry shouldn't go to his philosophy school. The courses he studied at school have little to do with geometry knowledge. Plato asked his disciples to know geometry only because mathematical spirit and mathematical thought are important cultural qualities. The scientific quality of mathematical thinking and mathematical formation reflects the rich connotation of mathematical culture. 3. Mathematics and humanistic spirit Mathematics is of great significance in improving people's mental quality. The role of mathematics is more prominent than other disciplines. The strict standardization of mathematics plays a subtle role in forming a good style of being serious, practical, United and cooperative, and obeying the law. Use the beauty of mathematics, graphics, symbols and strangeness to educate students' spiritual beauty, behavioral beauty, linguistic beauty and scientific beauty, so that students can learn to be calm and rigorous when learning and solving problems. Form the consciousness of independent innovation. Understanding dialectical materialism and historical materialism from the perspective of mathematical development history. Let students absorb their scientific dedication in the process of accepting scientists' outstanding contributions in the field of science, which is conducive to strengthening their ideals and beliefs of learning and loving science and cultivating perseverance. Speaking of scientific dedication, we might as well mention sophie germain, a French female mathematician in the18th century. In order to learn math, she disguised herself as a man. Because of her hard work, she won the favor of Lagrange, a math teacher at that time, and allowed him to study math from then on. It was because he loved mathematics and studied hard that she achieved the first outstanding achievement in proving Fermat's last theorem. 4. History of Mathematics and Culture Mathematics is a cultural history. It is full of touching stories and interesting legends. The current full-time ordinary high school textbook (compulsory for trial revision), mathematics, has absorbed the history of mathematics. For example, the first book (the first part) introduces the touching legends about chess in ancient India, which not only enhances students' interest in learning, but also makes them have a preliminary impression on the summation of series. Speaking of equations, we might as well introduce Diophantine (. How amazing it is that Diophantine is buried in the grave. Truly recorded the road he experienced. God gave him one sixth of his childhood, one twelfth of his childhood and a little over one seventh of his wedding candles. Five years later, a God-given son, a poor and dying Ningxin son, died only half of his father and entered the cold grave. Sadness can only be made up by arithmetic research. Four years later, he finished his life. The topic of poetry and prose will definitely improve students' interest in learning mathematics and stimulate their enthusiasm for learning mathematics. 5. Mathematical poetry and culture, both in history and now, are everywhere at home and abroad. They praise mathematics in this form and convey a mathematical culture at the same time. In the 17th century, Apope in England discussed A.pe moivre. He made a parallel design of spiders, which was sure that there were no rules or lines? A few words not only praised the mathematician Demofo, but also publicized the spirit of mathematics. Qian Baoyu's China Ancient Mathematics Tune has a long legislative origin and a longer arithmetic process. People in the field have made great achievements throughout the ages, and they all work hard to save time. The score is the same as that in Mother and Son, and the power product is supplemented by green Zhu, so we should study it after annotation. Make the past serve the present, why not cherish the ten thousand rolls of paper! Pi is very low and reasonable. If there are serious differences, it is not difficult to measure the island. Who's Liu Hui? It is said that the ancestral father and son have the most brilliant achievements. People who carry forward the past and forge ahead into the future are immortal! Thus, the glory of ancient mathematics is expressed by poetry, which not only praises the ancient mathematicians in China and their outstanding research achievements, but also shows that timeless mathematics is also an important part of China's splendid culture. When discussing the combination of numbers and shapes, the famous mathematician Mr. Hua pointed out: "Numbers and shapes are interdependent, how can they be divided into two?" Less numbers are not so intuitive, and less shapes are difficult to be nuanced. Form and number are combined well, and everything is separated. Don't forget the unity of geometry and algebra. Always contact, do not separate. " This appropriate description also fully embodies the cultural consciousness, that is, vivid and profound, concise, so that mathematics and culture are integrated and the role of mathematics culture is fully exerted. It can be seen that this kind of poetry and ode of mathematics has pushed the cultural level of mathematics to a higher level. 6. Mathematical language and culture, basic knowledge of mathematics, mathematical thinking method and comprehensive ability of mathematics are the most essential elements of mathematical quality education. It is the central content of classroom teaching. Teachers' cultural accomplishment, that is, the connotation of mathematics culture, directly affects the effect of mathematics classroom teaching. In the teaching of mathematical concepts and propositions, if the language is rich, beautiful and cadenced, it will greatly infect students and improve the quality of lectures. In the process of concept formation and theorem formula reasoning, simple explanation will be very effective. In the process of the formation, development and problem solving of mathematical knowledge, humorous language is always accompanied, which will definitely adjust the classroom atmosphere and stimulate students' interest in learning. Teachers should be detailed and concise when giving lectures, so that students can have enough time to master mathematical knowledge and form a good mathematical cognitive structure. Happy teaching and happy and relaxed study are conducive to the healthy development of students' body and mind and improve their quality of life. Mathematical symbols and mathematical graphics are also one of its languages. As a special language, it has its representative significance and rich connotation. This kind of language is vivid, concise and vivid, which can convey the beauty of mathematics to people. As a culture that can be widely communicated, the translation and application of mathematical language is very important. If the language function is blocked, then I, M, N have no language foundation and can't communicate at all. Of course, I may be helpless when I encounter specific problems, such as 2000.