1. Pure mathematics can be practical and useful, and applied mathematics can also be elegant and elegant. -- Halmos

2. When mathematicians derive equations and formulas, they get full happiness just like seeing statues, beautiful scenery, hearing beautiful tunes, etc. -- Kopnin (former Soviet philosopher)

3. Do further research on the theorem that has been correctly identified and explore (famous aphorism) its new proof method, just because the existing proof is lacking The charm of beauty. --Klein

4. Feeling the beauty of mathematics, feeling the coordination of numbers and shapes, and feeling the elegance of geometry are the true feelings of beauty that all true mathematicians know. --Poincaré

5. Beauty is contained in volume and order. --Hegel

6. Wherever there is number, there is beauty.

7. Social progress is the crystallization of human pursuit of beauty. --Marx

8. Mathematics, if viewed correctly, not only possesses truth, but also possesses supreme beauty. --Russell

9. Mathematicians, like painters or poets, are makers of styles... Mathematicians' styles, like those of painters or poets, must be beautiful... There is no such thing as ugly mathematics forever. A place to establish oneself. -- Hardy

10. Mathematics can promote people's understanding of the characteristics of beauty-value, proportion, order, etc. --Aristotle

11. Mathematics is indeed a beautiful masterpiece, just like the creation of a painter or poet - it is a synthesis of ideas; like the synthesis of colors or words, it should have inner harmony consistent. For mathematical concepts, beauty is her first touchstone; there is no such thing as ugly mathematics in the world.

12. Mathematics, like music or poetry, obviously does have aesthetic value. -- Jacobi

A collection of famous quotes from educators

Harvard University President Lu Dengting said at the "World Famous University Presidents Forum": "If there is no curiosity and pure desire for knowledge as the driving force, , it is impossible to produce inventions and creations of great value to mankind and society."

Dickens: "A strong will can conquer any mountain in the world

Gorky: "If you learn. If we only imitate, we will not have science or technology. ”

The German philosopher Hegel once said: Error itself is “an inevitable step in reaching truth”, and “the truth is discovered only because of errors” my country

Chemist Fu Ying Mr. Einstein once said that only experiments are the "supreme court" of chemistry.

Einstein: If students' enthusiasm is stimulated, then the homework required by the school will be received as a gift. .

Mr. Dai Anbang, a famous chemist in my country, pointed out that chemical education that only teaches chemical knowledge and technology is one-sided. Comprehensive chemical education requires not only teaching chemical knowledge and skills, but also training scientific methods and thinking.

“Learning comes from thinking, and thinking comes from doubt. A little doubt leads to small progress; a great doubt leads to great progress. " ("Thinking" is an important method of learning, and "doubt" is the key to enlightening thinking. Learning must have doubts, and doubts are better than thinking.)

Modern psychological research believes that "questions are the key to thinking." "The trigger".

Einstein has a famous saying: "Interest is the best teacher." Research by psychologists also shows that people always strive to explore and understand the things they are interested in. It; interest is a person's unique intention to understand and tend to something, and it is a manifestation of individual subjective initiative.

An educator once said: "The art of teaching lies in how to present it appropriately. questions and skillfully guide students to answer. ”

Mr. Tao Xingzhi once said: “The starting point for discovering thousands of things is a question.” A wise man asks wisely, a fool asks foolishly. ”

Confucius said: “If you are not angry, you will not be inspired; if you are not inspired, you will not be motivated.” ”

Bruner: “The best way to make students interested in a subject is to make them know that this subject is worth learning. ”

A celebrity once said: “A good teacher is one who combines his love for his major with his love for his students. ”

Bruner pointed out: “The standards of the oil painting education process are effect and time. ”

American psychologist Bloom said: The greatest motivation for learning is interest in learning materials.

German educationist Di Stowei once said: "The art of teaching does not lie in imparting skills, but in motivating, awakening and inspiring."

The ancients emphasized; "The good tempter , Shandao. "Modern educational theory believes that the true meaning of teaching is to change "learning" into "learning". In the 1970s, the UNESCO report "Learning to Survive" clearly pointed out: The illiterate people in the future society will not be those who have not mastered certain knowledge, but those who cannot learn.

p> The most important thing is to develop students’ intelligence. Intellectual factors include seven abilities: hands-on, observation, reference, memory, thinking, imagination, and expression. Among them, thinking is the core of intellectual factors. All the above-mentioned quality factors can be obtained in chemistry experimental teaching. A certain amount of training, and non-intellectual factors will also increase. "

An ancient saying goes: Give a man a fish, and you will get a meal; teach a man to fish, and you will benefit for a lifetime.

American scholar Brubaker: "The most exquisite teaching art, the highest principle to follow is to let students ask questions."

Guo Moruo said: "The purpose of teaching is to cultivate students to learn on their own , study by yourself, think with your own mind, see with your own eyes, and do it with your own hands."

Comrade Xu Guozhang, a famous foreign language professor, awarded diplomas to self-taught youths in Beijing. There was a speech at the meeting: "Outstanding scientists, artists, and writers throughout the ages have all relied on their own learning to invent and create. Who can teach Shakespeare to become Shakespeare? Who can teach Einstein to discover the method to explain the universe? The fundamental principle? Who can teach Mr. Lu Xun to portray the image of Ah Q? One's own learning and creation are a driving force for progress." Mr. Ye Shengtao proposed: "The purpose of teaching is to achieve the goal of not needing to teach. ."

Mr. Cai Yuanpei once said: "We teach to arouse students' interest in reading. As teachers

Educator's famous sayings, educational famous sayings

1. A teacher is someone who preaches, teaches, and solves doubts. Han Yu

2. When a country is prosperous, it must value its teachers. Xunzi

3. A teacher. A model for people. Yang Xiong

4. If he is upright, he will not do what he is told; if he is not upright, he will not follow what he is told. Confucius

5. Be true to your words and achieve results in your actions. Confucius

6. Be tireless in learning and never tired of teaching. Confucius

7. Those who have no doubts in reading must be taught, and those who have doubts must have no doubts. Only then will they make progress. Zhu Xi.

8. After learning, you will know your deficiencies, and after teaching, you will know your difficulties. "Book of Rites"

9. We firmly believe that education is the fundamental plan of the country for thousands of years. Tao Xingzhi

10. Confucius is the master of all walks of life. 11. Action is the beginning of knowledge, and knowledge is the completion of action. Tao Xingzhi

12. He who knows is not as good as good. Those who are good are not as good as those who are happy. Confucius

13. Learning without thinking is useless, thinking without learning is dangerous. Confucius

14. Knowledge is power.

15. It is better to have no "Book" than to believe in the "Book". Mencius

16. Good advice is hard on the ears but good on the body; good medicine is bad on the mouth but good on the disease. ── Sima Qian

17. When three people walk together, they must have a teacher. Choose those who are good and follow them, choose those who are not good and change them. ──Confucius

18. The three friends who benefit are those who are straight, those who are forgiving, and those who are friendly. Hearing more will be beneficial; if you have three friends, you will make friends; if you are kind and gentle, you will be sycophantic, and it will be a loss. ──Confucius

19. Those who have a will, things will come true. Belong to the Han; work hard, but God will not let you down. If you work hard, you can swallow Wu with three thousand soldiers. ──Pu Songling

20. The method of reading is to proceed step by step, read carefully and think carefully. Zhu Xi

21. Good at studying, but not good at studying; good at studying, but not good at studying. ─ Xu Wei

22. If a young man does not work hard, he will be sad. ──Han Yuefu's "Long Song Xing"

23. Wherever teachers lack love, neither character nor wisdom can develop fully or freely. Rousseau

24. Come with a heart and leave without a blade of grass.

Tao Xingzhi

25. The problem is not to tell him a truth, but to teach him how to discover the truth. Rousseau

26. The master is always good at seducing me. He persuades me with words and invites me with courtesy. I can't stop. Confucius

27. The art of teaching lies not in imparting skills, but in being good at motivating, awakening and inspiring. Distohui

28. I think a good teacher does not teach or teach students, but teaches students to learn. Ye Shengtao

29. Anyone who teaches must hope to achieve the goal of not having to teach. Ye Shengtao

30. Teaching must start from the learners’ existing experience. Dewey

31. All disciplines should essentially begin with mental enlightenment. Rousseau

32. Worry about the world's worries first, and rejoice after the world's happiness. Fan Zhongyan

33. A bad teacher teaches people the truth, while a good teacher teaches people to discover the truth. Dis Duohui

34. Those who teach are those who cultivate good and save those who have lost. "Book of Rites"

35. A good singer will make others follow his voice, and a good teacher will make others follow his ambition. "Book of Rites and Learning"

36. Any way of learning is difficult for strict teachers. "Book of Rites and Learning"

37. The study of remembering questions is not enough to be a teacher. "Book of Rites and Learning"

38. Make the education process an artistic undertaking. Herbart

39. Reading history makes people wise, reading poetry makes people intelligent, calculation makes people precise, philosophy makes people profound, ethics makes people cultivated, and logic and rhetoric make people eloquent. Bacon

40. Only after receiving a suitable education can a person become a human being. Comenius

41. Leading a school is first of all educational and ideological leadership, and secondly administrative leadership. Suhomlinsky

42. To be a gentleman of the people, you must first be a student of the people. Mao Zedong

43. Teachers are a living link between the past and the future. Its career, though ordinary on the surface, was one of the greatest in history. Ushensky

44. If jade is not polished, it will not become a tool; if a person does not learn, he will not know. "Book of Rites and Learning"

45. Work is accomplished by hard work, but waste comes from play; action is accomplished by thinking, and destroyed by laziness. Han Yu

46. If you don’t accumulate steps, you can’t reach a thousand miles; if you don’t accumulate small streams, you can’t become a river. Xunzi

47. Only by enriching one's mind with all the wealth of knowledge created by mankind can one become a communist. Lenin

48. We don’t need to memorize by rote. We need to use basic knowledge to develop and enhance each learner’s thinking ability. Lenin

49. I love my teacher, and I love the truth even more. Aristotle

50. The sound of wind and rain and the sound of reading are in my ears; I care about everything in my family, state, and world affairs. Gu Xiancheng

51. The highest and final purpose of teaching is included in the concept of virtue. Herbart

52. Among a person's various qualities, virtue is the first. Locke

53. Think of others when you see a good person, and reflect on yourself when you see a bad person. Confucius

54. Great virtue is not an official, great virtue is not a tool, great faith is not a promise. "Book of Rites and Learning"

55. A school without discipline is like a mill without water Comenius

56. The root of knowledge is bitter, but the fruit of knowledge is sweet. Knowledge comes from diligence, wealth comes from thrift.

57. Discipline is the collective appearance, collective voice, collective movements, collective expressions, and collective beliefs. Makarenko

58. Only education that can inspire students to educate themselves is true education. Suhomlinsky

59. In any school, the most important thing is the ideological and political direction of the curriculum, which is entirely determined by the teaching staff. Lenin

60. Don’t wait and see, as your young head turns gray and you are filled with sorrow. ──Yue Fei

61. The waves behind the Yangtze River push the waves ahead, and the new people in the world drive out the old ones. ──"Zengguang Xianwen"

62. Wisdom, benevolence and courage are important spiritual heritages in China. In the past, they were considered the most virtuous people in the world, but today they are still important indicators of perfect personal development. Tao Xingzhi

63. One percent of waste products in educational work will cause serious losses to the country.

Makarenko

64. A teacher’s personality is everything to an educator. Only a healthy mind can have healthy behavior. Ushinsky

65. A teacher’s personal example is the most useful sunshine that nothing can replace for the hearts of young people. Ushinsky

66. If you want students to be eager to learn, you must be eager to learn. Only a teacher who never tires of learning can teach students who never tire of learning. Tao Xingzhi

67. If students are asked to do something, teachers and staff will do it personally; if students are required to learn knowledge, teachers will learn it personally; if students are required to follow the rules, teachers and staff will abide by them personally. . Tao Xingzhi

68. Those who move people with words will not feel deeply; those who move people with actions will respond quickly. Li Zhi

69. Teaching by example is more important than words. Wang Fuzhi

70. A teacher is someone who teaches people virtues through things. "Book of Rites"

71. A teacher should not specialize in teaching, his responsibility is to teach people how to behave; students should not specialize in studying, his responsibility is to learn the way of life. Tao Xingzhi

72. The fate of young people is in the hands of teachers, and the fate of the nation and mankind is in their hands. Tao Xingzhi

73. Because morality is the foundation of being a human being. Once the foundation is bad, even if you have some knowledge and skills, it will be of little use. Tao Xingzhi

74. The only source of students’ respect for teachers lies in the teacher’s morality and talent. Einstein

75. As long as a teacher lies to his students once and reveals the truth, all his educational achievements may be destroyed. Rousseau

76. If you want to cultivate students into a kind of person, you should be that kind of person yourself. Chernyshevsky

77. The starting point for discovering thousands of things is one question. A wise man asks wisely, a fool asks foolishly. Tao Xingzhi

78. The best way to make students interested in a subject is to make them know that the subject is worth learning. Bruner

79. Defeating yourself is the most difficult victory. Suhomlinsky

80. The friendship between gentlemen is as light as water, while the friendship between villains is as sweet as sweet wine. ──Zhuangzi

81. Living with good people is like entering a house of orchid. If you don’t smell its fragrance for a long time, you will be transformed by it. Living with bad people is like living with abalone. If you don't smell the smell for a long time, you will be transformed by it. ──Confucius

82. The most important thing for people to know each other is to know each other; the most important thing for people to know each other is to know their hearts. ──Meng Ke (thinker, politician, educator in the Warring States Period)

83. Those who are close to red are red, and those who are close to ink are black. ──Fu Xuan

84. Those who love others will always be loved by others; those who respect others will always be respected by others. ──Meng Ke

85. There are close friends in the sea, and they are as close to each other as they are to the end of the world. ──Wang Bo

86. Don’t worry, no one knows you in the future. No one in the world knows you. ──Gao Shi (poet of the Tang Dynasty)

87. People have joys and sorrows, and the moon waxes and wanes. This is a difficult thing in ancient times. I hope that people will live long and travel thousands of miles to meet Chanjuan. ──Su Shi (Northern Song Dynasty writer, calligrapher and painter)

88. Life is precious when we know each other, so why use gold and money. ──Li Bai (Poet of the Tang Dynasty)

89. We are both fallen people in the world, so why should we have known each other before? ──Bai Juyi (Poet of the Tang Dynasty)

90. Friendships are always made in life, and should not be separated by ups and downs. ──Helan Jinming

91. Educating people is to form their character. Owen

92. Without curiosity and pure desire for knowledge as motivation, it would be impossible to produce inventions and creations of great value to mankind and society. Lu Dengting, President of Harvard University

93. A strong will can conquer any mountain in the world. Dickens

94. If learning is only about imitation, then we will have no science and no technology. Gorky

95. The most basic way of human education is belief. Only belief can influence belief. Ushensky

96. Learning without thinking is a waste, thinking without learning is a disaster. ──Confucius

97. Rather than abiding by the law, it is better to be natural; rather than seeking uniformity, it is better to express individuality. Cai Yuanpei

98. The teacher’s profession is the most glorious profession under the sun Comenius

99. Teachers must have a healthy body, a farmer’s skills, a scientific mind, and an artistic interest and the spirit of reforming society.

Tao Xingzhi

100. I do believe that in our education, the overemphasis on pure intellectual education is often just for practical and practical purposes, which has directly led to the damage to ethical education. Einstein

101. The goal of school should always be that young people leave school as harmonious people, not as experts. Einstein

102. The goal of the school should be to cultivate individuals with independent action and independent thinking, but they should regard serving the society as the highest goal of their lives. Einstein

103. If the person is upright, he will not do what he is told; if the person is not upright, he will not follow the order. Confucius

104. Only in the collective can individuals obtain the means to fully develop their talents. In other words, only in the collective can there be personal freedom. Marx and Engels

105. Human essence is not an abstract object inherent in a single person. In fact, it is the sum of all social relations. Marx and Engels

106. The power of public opinion in children's collectives is entirely a material and tangible educational power. Makarenko

107. Only with a healthy body can you have a healthy spirit. Locke

108. Aesthetic educators complement intellectual education in order to complete moral education. Cai Yuanpei

109. Physical labor is a great disinfectant against all social viruses. Marx

110. The early combination of productive labor and education is one of the most powerful means to transform modern society. Marx

111. Respecting teaching and encouraging learning is the foundation of building a country; cultivating talents is the first priority of government. "Zhu Shunshui Collection." Encourage Learning"

112. Those who have no doubts about reading must be taught; those who have doubts must have no doubts. Only here can they make progress. Zhu Xi

113. The lofty moral significance of labor also lies in that a person can reflect his wisdom, skills, selfless love for his career and his willingness to teach his experience to his comrades in the material results of labor. Suhomlinsky

114. The power of public opinion in children's collectives is entirely a material and tangible educational power. Makarenko

115. A day of labor can lead to a night of peaceful sleep; a lifetime of hard work can lead to a long sleep of happiness. Leonardo da Vinci

116. If life, work, and study can be automated, the results of education will be twice the result with half the effort. Therefore, we pay special attention to the cultivation of motivation and focus it on all life, work and study. Automaticity is conscious action, not spontaneous action. Conscious action requires proper cultivation and then can be achieved. Tao Xingzhi

117. The early combination of productive labor and education is one of the most powerful means to transform modern society. Marx

118. I do believe that in our education, the overemphasis on pure intellectual education is often just for practical and practical purposes, which has directly led to the damage to ethical education. Einstein

119. Those who teach others can take away the shortcomings of others by taking advantage of them. Only by knowing your own shortcomings can you eliminate the shortcomings of others; only by not relying on your own strengths can you take advantage of others' strengths. Wei Yuan

120. Everyone should have self-respect, self-confidence, and independence, otherwise he is a slave. But self-esteem is not contempt, self-confidence is not complacency, and independence is not loneliness. Xu Teli

121. To be a gentleman of the people, you must first be a student of the people. Mao Zedong

122. If you sow behavior, you can reap your habits; if you sow your habits, you can reap your character; if you sow your character, you can reap your destiny. Thackeray

123. The teacher's love is like drops of nectar, which can revive even the withered soul; the teacher's love is like the melting spring breeze, which can melt even the frozen feelings. Battle

124. Teachers must have a healthy body, the skills of a farmer, a scientific mind, an interest in art, and a spirit of social reform. Tao Xingzhi

125. All undertakings today must be solved scientifically; and all knowledge must be studied based on facts. Huang Yanpei

126. The greatest benefit of labor lies in moral and spiritual development. This spiritual development is produced by harmonious labor and should constitute the kind of human characteristics that distinguish the citizens of proletarian society from those of bourgeois society.

Makarenko

127. The problem is not to teach him various knowledge, but to cultivate his interest in learning, and when this interest has fully grown, teach him the methods of studying knowledge. Rousseau

128. The standards of the oil painting education process are effect and time. Bruner

129. The greatest motivation for learning is interest in learning materials. Bloom

130. The art of teaching lies not in imparting skills, but in motivating, awakening and inspiring. German educationist Di Stohui

131. Intelligence lies in diligence, and genius lies in accumulation. ──Hua Luogeng

132. Don’t do to others what you don’t want others to do to you. ──Confucius

133. Everyone is destined to die. It may be heavier than Mount Tai, or lighter than a feather, depending on the purpose of using it. ──Sima Qian

134. A gentleman has nine thoughts: looking for wisdom, listening for intelligence, looking for warmth, looking for respect, speaking for loyalty, acting with respect, doubting and questioning, thinking for anger and difficulty, and thinking for seeing. righteous. ──Confucius

135. Do not do evil because it is small, and do not do good because it is small. ──Pei Songzhi

136. The road is long and long, and I will search up and down. ──Qu Yuan

137. Since ancient times, no one has ever died, leaving a loyal heart to illuminate history. ──Wen Tianxiang Excerpted from: Inspirational Quotes

138. The sound of wind, rain, and reading are all in my ears; I care about everything about family affairs, national affairs, and world affairs. ──Gu Xiancheng (scholar of the Ming Dynasty)

139. Human life is limited, but serving the people is infinite. I must devote my limited life to unlimited service to the people. ──Lei Feng

140. Forget the past like smoke, and have a selfless heart. ──Tao Zhu (modern proletarian revolutionary and politician)

141. How many times can you fight in life? ──Rong Guotuan

142. Interest is the best teacher. Research by Einstein psychologists also shows that people always strive to explore and understand things that interest them; interest is a person's unique intention to understand and tend to something, and is a manifestation of individual subjective initiative.

143. Therefore, when Heaven entrusts a person with a great responsibility, he must first strain his mind, strain his muscles and bones, starve his body and skin, deplete his body, and mess up his actions. Therefore, if he is tempted to endure, he has Benefit from what it cannot do. ──Meng Ke

144. If you use copper as a mirror, you can straighten your clothes; if you use ancient times as a mirror, you can know the ups and downs; if you use people as a mirror, you can know gains and losses. Lian always protects these three mirrors to prevent himself from making mistakes. ──Li Shimin

145. Be a human being, be Chinese, and be a modern Chinese. Chen Heqin

146. If one has not developed, cultivated and educated himself well, he cannot develop, cultivate and educate others. Dis Duohui

Famous quotes are used as sentences to warn yourself. I hope the above content of "Quotes from Mathematics Educators" will be helpful to you. If you want to get more famous quotes, you can click on the "Famous Quotes" topic.