1. Pure mathematics, in its modern development stage, can be said to be the most original creation of human spirit. -Whitehead

2. New mathematical methods and concepts are often more important than solving mathematical problems themselves. -Hua Luogeng

3. There are many hardships in life, so we should not be too sensitive to every slight injury. In the face of the hardships of life, mental strength and indifference are our best weapons to resist evil and life accidents. -Locke

4. God created integers, and all the rest are artificial.

5. Infinite! No other problem has touched the human mind so deeply. -Hilbert

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

7. Give me five coefficients and I will draw an elephant; Give me six coefficients and the elephant will wag its tail. -Cauchy

8. If anyone doesn't know that the same diagonal side of a square is an incommensurable quantity, then he is not worthy of the title. -Plato

9. I beat myself far more than others.

1. The world is not in the hands of those mockers, but in the hands of those who can stand ridicule and criticism and keep moving forward. Famous sayings of mathematics 2

1. The essence of mathematics lies in its freedom.

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

3. Numbers rule the universe.

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

5. God is an arithmetician

6. Anyone who doesn't know that the diagonal and the same side of a square are incommensurable quantities is not worthy of the title of man. -Plato

7. The simple composition of integers has been the source of new life for mathematics for centuries. -g.d. boekhoff

8. The more detached a mathematician is, the better. -Anonymous

9. The incomparable permanence and omnipotence of mathematics and its independent action on time and cultural background are the direct consequences of its essence. -A. Eber

1. It is found that every new group is mathematical in form, because we can't have other guidance. -C.G. Darwin

11. The great architecture of the universe is now beginning to appear as a pure mathematician. -J.H. Jings

12. Countable is the world that rules the whole quantity, and the four operations of arithmetic can be regarded as all the equipment of mathematicians. -Maxwell

13. Number theory is the oldest branch of human knowledge, but some of his deepest secrets are closely related to his most ordinary truth. -Smith

14. Infinite! No other problem has touched the human mind so deeply. -D. Hilbert

15. This is a reliable rule. When the author of mathematics or philosophy works writes in vague and abstruse words, he is talking nonsense. -a.n. Whitehead

16. Inspiration is nothing more than "the reward of tenacious labor". -Lie Bin

17. A person's talent is like a spark. It can be extinguished or burned, and there is only one way to force it to burn into a raging fire, that is, labor and then labor. -Gorky

18. Praise weakens diligence. -samuel johnson

19. Lazy people can never find a job for him. -Wolfinger

2. Genius is 99% perspiration and 1% inspiration. -Edison

21. The sharp edge of the sword comes from sharpening, and the fragrance of plum blossoms comes from bitter cold.

22. The youngest of the children who can't get the inheritance right will often achieve good development through their own struggle. And those who enjoy the success rarely achieve great things. -bacon

23. Do you want to be a happy person? I hope you learn to bear hardships first. -turgenev

24. The motive force of mathematical invention is not reasoning, but imagination. -Demo

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

26. The lamp of life is lit by enthusiasm, and the boat of life moves forward by hard work.

27. Having a dream is just an intelligence, and realizing it is an ability.

28. A person's talent is like water in a sponge. Without external pressure, it will never flow out. After flowing out, the sponge can absorb a new source.

29. Only those who keep looking for opportunities will seize them in time.

3. As long as the kung fu is deep, the iron pestle is ground into a needle.

31. 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. -Bells

32. Observation may lead to discovery, and observation will reveal some regular pattern or law. -Paulia

33. Most mathematical creations are the result of intuition, and there is a little direct perception or quick understanding of the facts, which has nothing to do with any lengthy or formal reasoning process. -

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

37. 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 accomplished what I have never achieved.

38. Genius is the power of hard work. -Dwight

39. The human brain is like a limb. If it is used more, it will work, and if it is not used, it will be wasted-Mao Yisheng

4. For me, one thing that has not been realized is the biggest spur of my life. -elwin White's famous mathematical article 3

1. Grasp what interests you most, and learn from the shallow to the deep step by step ...

2. In the long river of seeking truth, only by studying, constantly studying, studying diligently and creatively can we cross the mountains more and more.

3. Independent thinking ability is very necessary for scientific research or any other work. In history, any major invention in science is due to the inventor's giving full play to this original spirit.

4. All the scientific workers who have made great achievements are experts in using time without exception, and they are also people who are determined to invest a lot of labor in a lot of time.

5. A person's life is limited and short. If we want to use this short life process more effectively, we'd better regard our own life as a continuation of our predecessors' life, a part of our present life, and also the beginning of the life of future generations.

6. Everyone must form the habit of self-study, even students at school today, because they will leave school sooner or later! Self-study is the ability to study and think independently. It is up to the traveler himself to walk.

7. There is no smooth road to science, and there are countless reefs and shoals in the long river of truth. Only herb gatherers who are not afraid of climbing, only those who are not afraid of the waves, can climb the peak to collect fairy grass and go deep into the water to find pearls.

8. Genius is not to be relied on, cleverness is unreliable, and it is unthinkable to pick up great scientific inventions conveniently.

9. Scientific achievements are accumulated bit by bit, and only by long-term accumulation can they be merged into the sea.

1. Science is honest knowledge, and it is impossible to create inventions by luck. If you don't understand the nature of a problem, it is futile to meet opportunities. That's why I went to Baoshan and returned empty-handed. 4

Chen Xiaomei

As long as we provide content and space to explore, students will get "food" independently and feel the inherent charm of mathematics knowledge

I am happy to hear another voice in class; I think the children are also happy to be able to make another voice in class.

Give yourself a little applause often, and you will gain more confidence and hope for success.

Yu Wensen

The effectiveness of classroom teaching: it means that students gain, improve and make progress in their studies through classroom teaching activities. That is, through classroom teaching, students get development.

Tao Wenzhong

People's focus on curriculum reform has gradually shifted from changing teaching methods to improving the effectiveness of teaching.

The essence of effective learning is to enable students to achieve or exceed the expected teaching objectives to the maximum extent on the basis of existing knowledge, experience and ability.

Wang Yong

For the story scene, if you just ask the students: What do you see from the picture? What information do you get from the diagram? Then, lively, interesting and fascinating stories are often answered by students in a fragmented way.

Formulaization, schemata and reflection are all important aspects of mathematicization.

Zhang Dan

How to make more students gain more understanding of mathematics is the most fundamental principle in revising textbooks.

The remarkable features of textbooks in the new century are: designing various activities from various angles, using various methods, and portraying important concepts and ideas, so that students can gain a better understanding.

Teaching materials should provide opportunities for students to explore and think, and provide possibilities for students to constantly create, so that they will give us one surprise after another.

caring for women

Mathematics is a kind of culture

Examine your own teaching in time, regulate students' emotions, guide students to actively participate in classroom teaching, and let students question each other in the classroom, including questions between teachers and students, students and students, such as how to listen to others' opinions and how to organize their own language to question.

when you are addicted to the classroom, the classroom will present you with a beautiful scenery, that is, living mathematics. Classroom is the value of a teacher's life. In the process of using new textbooks, I am deeply grateful to the classroom!

Li Lie

Information acquisition: 15% comes from content, 3% from voice and 55% from body language such as expressions. Face to face in classroom teaching, one row of speeches turns back, and the students in front of the speeches in the back turn back

The more students are released in the classroom, the more they benefit, and the more colorful they are. If you take small steps, you will have no resources. The problem is not easy to be too small.

the stage is as big as the heart.

the form of deviating from the goal is worthless.

group exchange learning = cooperative primary school cooperative learning has a division of labor and tasks

Wu Zhengxian

faces students' mathematical reality. The teaching objectives should be specific: don't relax by biting the green hill, don't wait for every minute

Look at the students: pay attention to the learning process, pay attention to the learning results, and whether the students can ask questions on the basis of independent thinking

Look at the teachers: whether they have really controlled each student, whether they have given effective guidance, what they have done to promote students' thinking, what they have done in the learning methods of official college students, and whether they have provided high-quality learning resources.

for generation: carefully preset generation, tolerant acceptance generation, rational understanding generation, witty selection generation, and clever use of generation.

Cao Peiying

The standard of a good class: solid-meaningful class, substantial-efficient class, abundant-productive class, plain-normal class, true-to-be-perfected class

Xu Yunhong

The extent to which the class is returned to the children depends on the interaction of the students. Whether the teacher grabbed the students' ball or not, learning the students' existing knowledge and experience in the collision is also a scene, which underestimates the students' more terrible.

The group is the same body of learning, and the interests and honors are United.

Optimization is an experience, not a sign that it is stipulated that

You can think, listen, question and express.

What you say is not real communication. Collision is communication

Ma Yunpeng

All fields should aim at solving problems, which should run through classroom teaching

Rousseau

Although I don't agree with every word you say, I will defend your right to speak to the death. Famous sayings in mathematics 5

1) Start with the simplest. -Paulia

2) In mathematics, the main tools for us to find truth are induction and simulation. -Laplace

3) Every goal, I want it to stay in front of my eyes, from the first dawn, keep it, and slowly expand it until the whole earth is bright. -Newton

4) You need a master at chess. Only if you are not afraid to expose your weaknesses in front of the almighty can you make continuous progress and learn by yourself. If you are not afraid of a low starting point, you will not be afraid of the end. -Hua Luogeng

5) I always try my best to get rid of that heavy and monotonous calculation. -napier

6) 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. -Napoleon

7) Whenever my mind has no problem to think about, I like to re-verify what I already know. There is no purpose in doing this, just to give yourself a chance to fully enjoy the pleasure of concentrating on thinking. -Einstein

8) Thinking begins with doubt and surprise. -Aristotle

9) History makes people wise, poetry makes people witty, and mathematics makes people subtle. -bacon

1) with one, everything can be born from nothing. -Leibniz

11) Mathematicians are fascinated by nature, and there is no mathematics without fascination. No matter how abstract any branch of mathematics is, it will be applied to the real world one day. -Lobachevsky

13) Better less, but better. Gauss

14) What delights me most in mathematics is what can be proved. -Russell

15) The main goal of mathematics is the public interest and the explanation of natural phenomena. -Fourier

16) If I can see farther, it is because I stand on the shoulders of giants. -Newton

17) Mathematics has made an important contribution to the observation of nature. It explains the simple primitive elements in the regular structure, and celestial bodies are built with these primitive elements. -Kepler

18) Mathematics is one of the most precious research spirits. -Hua Luogeng

19) After modern high-energy physics arrived at quantum physics, many of them could not be experimented at all, which is not far from what mathematicians think, so mathematics has incredible power in physics. -Qiu Chengtong

2) When I listen to others explaining some math problems, I often find it difficult or even impossible to understand. At this time, I thought, can we simplify the problem? Often, after finally figuring it out, in fact, it is just one