Mathematics culture: the tradition of mathematics teaching in China? In the article about "double-base teaching", we can see that the foundation is really important. However, the foundation is not just skills. Paying too much attention to skills, empty talk, avoiding the origin of mathematical problems and ignoring the understanding of mathematical ideas is also one of the disadvantages of current mathematics teaching. Here, we might as well learn from the situation in music. On February 23, 2003, 65438 Japanese reporters reported that playing Chopin should be as affectionate as possible. Sometimes skill is the enemy of music. Reporter: "Mr Fu Cong, you once said that young people's playing skills are getting better and better. Can you tell us what your subtext is? " Fu Cong: "Nowadays, many children have been practicing piano since they were three years old, and they have been practicing until they are over 10 years old. They have a solid foundation and excellent basic skills, which even I envy. However, in fact, they don't know much about music, so I say that skill is sometimes the enemy of music, and skill and music are two different things. " "Double-base" alienated mathematical culture: the basic music supporting mathematics is not equal to the beat of notes, art is not equal to the color of lines, and mathematics is not equal to the skeleton of the radiant Queen's X-ray photos of logic programs! What is culture? When a group is engaged in an activity, the sum of the beliefs held by * * *, the rules of action that everyone abides by, and the default agreement between the public and the public. For example, China culture: using square characters, the language is the same; Confucian classics as * * * and faith; Social, clan and family systems; The long-term accumulation of ideology such as literature and art, science and technology, religion, festivals and folk customs ... The classic definition of culture: "The so-called culture or civilization, in its broad ethnological sense, is a complex whole including knowledge, belief, art, morality, law, customs and the abilities and habits acquired by anyone as a member of society." -Taylor's primitive culture. Culture in a broad sense is a concept opposite to nature, which refers to the achievements created by transforming the natural state through human activities, that is, all unnatural things or objects created by human beings. Culture in a narrow sense refers to social ideology or object. Analysis of nationality, regionality and multiculturalism of culture. Different geographical environments have created different regional cultures and national cultures. As far as today's China culture is concerned, there are roughly "eight plates", that is, the Central Plains Beijing School.