For a long time, a puzzling phenomenon is that some students regard mathematics as a fear of the road, and their interest is indifferent, which leads to that their mathematics scores are generally lower than other subjects. This makes some teachers, parents and even experts and scholars very worried! "Interest is the best teacher." Only when you are interested in everything can you have the motivation to learn and study. Interest is the key to science. The fundamental reason why I am not interested in mathematics is that I have not realized the strangeness and beauty contained in mathematics. An aesthetician said: "Beauty exists as long as people feel it, but it doesn't exist if people don't feel it." The same is true of mathematics. Someone said, "Mathematics is really boring. Ten numbers are used repeatedly, and addition, subtraction, multiplication and division are really boring! " Someone said, "Mathematics is wonderful. Ten numbers are reversed, and the changes are endless and the most exciting! " "It is a misunderstanding of mathematics to think that mathematics is boring; Only when you feel interested can you appreciate the mystery of mathematics. In fact, mathematics is indeed the most fascinating subject. It contains wonderful and interesting things that can't be compared with any other subject. Although the beautiful words of Chinese can be intoxicating and the tragic stories of history can inspire people to forge ahead, the logical power of mathematics can convince any king kong, and the strong interest in mathematics can make people of any age fall for it! In the vast universe and the vast rivers, what kind of things can exist without numbers and shapes? It is the organic combination of number and shape that creates this strange and wonderful world. The beauty of mathematics is simple, profound and pleasing to the eye; The beauty of mathematics is amazing! Interest in mathematics is as strong as wine and fascinating. Because it is beautiful, it is more interesting; It is more beautiful because it is interesting. The harmonious combination of beauty and interest has produced various miracles. This may be the reason why many scientists and artists in history also love mathematics! Mathematics, with its beautiful image and interesting charm, attracts Qian Qian's obsessed pursuers through the ages.

First of all, the interesting beauty of mathematics

Mathematics is the gymnastics of thinking. Every extension of the thinking antenna opens a new world. The interesting beauty of mathematics lies in its wonderful and endless changes, which are beyond the reach of other disciplines. Uncover the veil of odd number, symmetric number, perfect number and magic number hidden in the mathematical maze, which is amazing; Watching digital waves and digital whirlpools is amazing! Numbers are not only not boring, but also full of vitality, fresh and bright! According to laws and rules, various ingenious calculations and mathematical games evolved by using strict logical reasoning are the concentrated expression of mathematical interest and show superb mathematical thinking! All kinds of wonderful graphics are pleasing to the eye; All kinds of confusing symbols Kakuro is a dream; The ingenious solution to the problem of graphic form is exciting and amazing! Magic puzzles, using scientific thinking, "billiards can tell stories" and "cards can talk", can know your surname, know your date of birth, and even get a glimpse of your mind and mind. Really fascinating and mysterious. Faced with such an interesting question, how can you say that mathematics is boring?

Second, the image beauty of mathematics

Hegel said: "Beauty can only appear in the image." When it comes to image beauty, some people associate it with literature and art, such as film and television, sculpture, painting and so on. It seems that numbers and shapes in mathematics are just abstract twins. Actually, it is not. Mathematics is a science that studies numbers and shapes. The organic combination of numbers and shapes constitutes a beautiful picture of everything.

Digital beauty: Arabic numerals themselves have a very beautiful image: 1 characters are like sticks, 2 characters are like ducklings, 3 characters are like ears, and 4 characters are like flags. Look, how vivid it is.

Symbolic beauty: two parallel lines with equal length express the uniqueness of the operation result, which embodies the clarity and accuracy of mathematical science.

≈ (about equal to sign) is the deformation of equal to sign, which expresses the relationship between two quantities and embodies the fuzziness and obscurity of mathematical science.

">" (greater than sign) and "

{[()]} (large, medium and small brackets) vividly shows the difference between inside and outside, and embodies the connotation characteristics of symmetry and retraction.

Beauty of lines: When we see "⊥" (vertical line), we will think of the ten-story building standing on the street, which gives us a sense of straightness; When we see "-"(horizontal line), we think of the calm lake, which gives us a feeling of peace; Seeing "~" (curve and straight line), we think of the rolling river and give us a sense of flow. Those beautiful geometric patterns are even more pleasing to the eye. The stability of triangle, the transformation of parallelogram and the vastness of circle all give people infinite reverie. Off-line operation and "closed network" deformation of statistical graphs are the perfect combination of numbers and shapes. China's ancient Taiji diagram highly summarized the plane and three-dimensional, static and rotating, figures and graphics!

Third, simplicity and beauty.

The rigor of mathematical science determines that it must be concise and accurate, so simplicity and beauty are another feature of mathematics.

The beauty of simplicity in mathematics lies in:

The definition and conventional description of 1. are highly condensed, which makes its language concise to the extent of "in a word". The definition of prime number is "a number with only 1 and its own two divisors", and it would be ridiculous to lose the word "unique"; If the "end" in the "0 at the end of the decimal" in the decimal nature is said to be "behind", it is "thousands of miles away". There are countless examples of this.

2. Formulas and laws are highly universal. A formula can solve countless problems, and a rule covers thousands of examples.

Area of triangle = base × height ÷2. Put all types of triangles (right angle, obtuse angle, acute angle; Equilateral, isosceles, unequal) have a summary. "Number alignment, single digit addition, decimal one every ten" includes all kinds of integer addition methods with multiple digits within 20 and 10000.

3. The wide applicability of symbolic language.

Mathematical symbols are the simplest words, but the content they express is extremely extensive and rich. It is a high embodiment of the abstract degree of mathematical science and an aspect of mathematical beauty. A+b=b+aabc=acb=bca, where A, B and C can be any integer, decimal or fraction. Therefore, these formulas expressed by symbols not only save a lot of words, but also embody universal laws, which are concise and easy to remember. Fully embodies the unique beauty of mathematical language, capable and concise.

Fourth, the beauty of symmetry.

Symmetry is one of the basic laws of aesthetics. In mathematics, many symmetrical figures, magic squares, series of numbers and arithmetic relations all endow balanced and harmonious symmetrical beauty. Just a few examples:

Formula:

2∶3=4∶6

X+5= 17-9

Several arrays:

Mathematical concepts actually appear in pairs of 20%: "divisibility, parity, sum-difference, curve-straight, square-circle, decomposition-combination, parallel-intersection, proportion-inverse, stability, harmony, coordination and balance." It's really wonderful and touching. Graphics: The factors of beauty contained in mathematics are profound and extensive. The beauty of mathematics does not stop there, it runs through all aspects of mathematics. The research object of mathematics is number, shape and shape, and the beauty of number, shape and shape can be seen everywhere. Its form of expression is not only symmetrical beauty, but also proportional beauty and harmonious beauty. Even mathematics itself has the beauty of questions, solutions and conclusions. All these are just a glimpse, however, it also shows the charming style of mathematics. Opening this book is like entering a wonderful world, presenting a wonderful landscape with constantly changing numbers and shapes. One "boring" number gives you wonderful performances, and one "abstract" concept gives you beautiful and vivid stories. It reveals hidden mathematical secrets and shows a colorful mathematical maze. The variety of numbers and the wonder of shapes, some make you get to the bottom of it, some make you linger, some make you marvel, and some make you amaze. Entering this wonderful world will be like chewing an olive fruit, savoring the deep interest of mathematics and feeling the wonder of the kingdom of mathematics, which will open our eyes. You will exclaim, "Wow! Mathematics used to be so interesting! "