1. Anyone who doesn't know that the same diagonal side of a square is an incommensurable quantity is not worthy of the title.

2. Only with the vigorous development of mathematics can a country show its national strength. The development of mathematics is closely related to perfection and national prosperity.

3. One of the best ways to learn to solve problems is to study examples.

4. In reality, there are not so many things like mathematics, which has lasted for thousands of years and is still really so beautiful.

5. No matter how abstract any branch of mathematics is, it will be applied to the real world one day.

6. New mathematical methods and concepts are often more important than solving mathematical problems themselves.

7. I have heard people say that I am an opponent and an enemy of mathematics, but no one respects mathematics more than I do, because it has achieved achievements that I have never achieved.

8. Students are the masters of mathematics learning, and teachers are the organizers, guides and collaborators of mathematics learning.

9. Mathematicians are fascinated by nature. Without fascination, there is no mathematics.

1. It is better to keep the conventional problem-solving methods in mind than to talk about novel problem-solving methods.

11. I always try my best to get rid of that heavy and monotonous calculation.

12. The essence of mathematics lies in its freedom.

13. In its modern development stage, pure mathematics can be said to be the most original creation of human spirit.

14. Philosophers should also learn mathematics, because they must jump out of the vast variety of phenomena and grasp the real essence. And because it is a shortcut to make the soul transition to truth and eternity.

15. Mathematics is the queen of science; The queen of arithmetic and mathematics.

16. In the field of mathematics, the art of asking questions is more important than the art of answering questions.

17. Don't let go of any seemingly simple example-they are often not that simple, or they can lead to many knowledge points.

18. As long as a branch of science can raise a large number of questions, it is full of vitality, and the lack of questions indicates the termination or decline of independent development.

19. Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol to measure scientific achievements.

2. The simple composition of integers has been the source of new life for mathematics for centuries.

21. The biggest failure and sorrow of primary school math teachers is that some students are afraid of math because of you.

22. To establish the concept of space, there must be a process of hands-on operation. The process of hands-on operation is not only a process of practice, but also a process of trying, imagining, reasoning and reflecting.

23. Pure mathematics is a magician's real wand.

24. Mathematics is an infinite science.

25. It is found that every new group is mathematical in form, because we can't have other guidance.

26. In mathematics class, the taste of mathematics should be purer, and more attention should be paid to comparison from the perspective of mathematics itself, which is conducive to promoting students' reflection and thus achieving a conscious learning state.

27. Infinite! No other problem has touched the human mind so deeply.

28. Some beautiful theorems in mathematics have such characteristics: they can be easily summarized from facts, but the proofs are extremely hidden.

29. The problem is the heart of mathematics.

3. The motive force of mathematical invention is not reasoning, but imagination.

31. Apply what you have learned, especially in mathematics learning. Applying what you have learned to real life is the ultimate goal of mathematics learning.

32. Mathematics knowledge comes from and serves life.

33. Give me five coefficients and I will draw an elephant. Give me six coefficients and the elephant will wag its tail.

34. Mathematics is a variety of proof skills.

35. There is a method in teaching, but there is no fixed method in teaching. It is important to get the right method.

36. What delights me most in mathematics is what can be proved.

37. The great architecture of the universe is now beginning to appear as a pure mathematician.

38. The first is mathematics, the second is mathematics, and the third is mathematics.

39. Number theory is the oldest branch of human knowledge. However, some of his deepest secrets are closely related to his most ordinary truth.

4. Mathematics class should be lively, comprehensible and profound.

41. History makes people wise, poetry makes people elegant, mathematics makes people noble, natural philosophy makes people deep, morality makes people steady, and ethics and rhetoric make people good at arguing.

42. Numbers rule the universe.

43. God is a mathematician.

44. In mathematics, the main tools for us to find truth are induction and simulation.

45. Build abstract mathematical knowledge on image perception, and static teaching theory on dynamic experience, perception and thinking.

46. We can expect that with the development of education and entertainment, more people will enjoy music and painting. However, the number of people who can really appreciate mathematics is very small.

47. Just because you can use mathematical formulas doesn't mean you can do math.

48. God created integers, and all the other numbers are artificial.

49. A mathematician who is not a poet will never be a complete mathematician.

5. The best way to learn anything new is for students to discover it by themselves, because this kind of discovery is the deepest to understand and the easiest to master the internal laws and connections.

51. Non-mathematical induction plays an indispensable role in the study of mathematics.

52. Countability belongs to the world that rules the whole quantity, and the four operations of arithmetic can be regarded as all the equipment of mathematicians.

53. This is a reliable rule. When the author of a mathematical or philosophical work writes in vague and abstruse words, he is talking nonsense.

54. The incomparable permanence and omnipotence of mathematics and its independence in time and cultural background are the direct consequences of its essence.

55. The main goal of mathematics is the public interest and the explanation of natural phenomena.

56. The more detached a mathematician is, the better.

57. Don't think that you have solved enough problems at any time.

58. The essence of mathematics lies in its freedom.

59. Mathematics is the queen of science; Number theory, the queen of mathematics.

6. Mathematics makes an important contribution to the observation of nature. It explains the simple primitive elements in the regular structure, and the celestial bodies are built with these primitive elements.