On the Basic Connotation of Mathematical Culture

Briefly describe the basic connotation of mathematical culture as follows:

Out of the shadow of mathematical isolationism, the connotation of mathematics is very rich. However, in the field of mathematics education in China, there is often the concept of "mathematics = logic". The survey shows that students regard mathematics as "a collection of absolute truths" or "a game of symbols".

Mathematics follows the model of memorizing facts-using algorithms-executing memorized formulas-and getting answers. The formula of "Mathematics = Logic" has brought many negative effects. As a wise man said, a dynamic mathematical beauty has only skeleton in X-ray photos!

The connotation of mathematics includes observing reality from a mathematical point of view, building mathematical models, learning mathematical languages, charts and symbols, and conducting mathematical exchanges. Through rational thinking, cultivate rigorous quality, pursue innovative spirit and appreciate the beauty of mathematics. More than half a century ago, the famous mathematician Courand wrote in the preface of his masterpiece What is Mathematics: Today, the traditional position of mathematics education is in a serious crisis. Mathematics teaching sometimes becomes an empty problem-solving training.

There is a trend of over-specialization and over-emphasis on abstraction in mathematical research, while ignoring the application of mathematics and its connection with other fields. Teachers, students and educatees all demand a constructive reform, the purpose of which is to truly understand that mathematics is an organic whole and the basis of scientific thinking and action.

Like all cultural phenomena, mathematical culture directly dominates people's actions. The mathematical culture of isolationism, on the one hand, makes people stay away from it, making people afraid of mathematics; On the other hand, he is narcissistic and talks to himself, which makes people regard mathematicians as "weirdos".

Mathematics in school, originally a favorite subject for teenagers, has become a "sieve" for filtering and a "stick" for beating people. Excellent math culture will be a beautiful and moving math queen, handy servant and clever pet. With advanced mathematics culture, mathematics teaching will become lively and radiant.