2. Mathematicians are as happy as seeing statues, beautiful scenery and beautiful tunes when deriving equations and formulas. -Kopnin (philosopher of the former Soviet Union)
3. Further study the theorem that has been correctly recognized and explore its new proof, just because the existing proof lacks the charm of beauty. Klein
4. Feel the beauty of mathematics, with harmonious numbers and shapes and elegant geometry. This is the true feeling of beauty that all real mathematicians know. -Poincare
5. Beauty is contained in volume and order. -Hegel
6. Where there are numbers, there is beauty.
7. Social progress is the crystallization of human pursuit of beauty. Marx
8. Mathematics, if viewed correctly, has not only truth, but also supreme beauty. Russell
9. Mathematicians, like painters or poets, are creators of styles ... Mathematicians' styles, like painters or poets' styles, must be beautiful ... Ugly mathematics has no permanent place in the world. -Hardy
10, mathematics can promote people's understanding of the characteristics of beauty-numerical value, proportion, order and so on. -Aristotle
1 1. Mathematics is indeed a wonderful masterpiece, just like the creation of a painter or poet-it is the synthesis of ideas; Like the synthesis of colors or words, there should be internal harmony. For mathematical concepts, beauty is her first touchstone; There is no deformed and ugly math in the world.
12, mathematics, like music or poetry, obviously does have aesthetic value. -jacoby
Compilation of famous sayings of educators
Lu Deng Ting, president of Harvard University, said at the "World Famous University Presidents Forum": "Without curiosity and pure curiosity as the driving force, it is impossible to produce inventions of great value to mankind and society."
Dickens: "Unyielding will can conquer any mountain in the world."
Gorky: "If learning is just imitation, then we won't have science and technology."
Hegel, a German philosopher, once said: Error itself is "an inevitable link to truth" and "China will be discovered because of the wrong truth".
Chemist Fu Ying once said that only experiments are the "supreme court" of chemistry.
Einstein: If students' enthusiasm is aroused, the classes prescribed by the school will be received as gifts.
Mr. Dai Anbang, a famous chemist in China, pointed out that chemical education that only teaches chemical knowledge and technology is one-sided, and it requires comprehensive chemical education, not only imparting chemical knowledge and skills, but also cultivating scientific methods and thinking.
"Learning comes from thinking, and thinking comes from doubt. Small doubts are small, and big doubts are big. " Thinking is an important learning method, and doubt is the key to thinking. There must be doubt in learning, and doubt is better than thinking. )
Modern psychological research holds that "doubt is the fuse of thinking".
Einstein famously said, "Interest is the best teacher". Psychologists' research also shows that people always try to explore and understand what they are interested in. Interest is a person's unique cognitive intention and tendency to something, and it is a reflection of personal subjective initiative.
An educator once said: "The art of teaching lies in how to ask questions properly and guide students to answer skillfully."
Mr. Tao Xingzhi said: "The starting point is to ask. Wise men ask cleverly, fools ask stupidly. "
Confucius said, "If you don't get angry, you won't send it. If you don't send it, you won't send it."
Bruner: "The best way to make students interested in a subject is to let them know that it is worth learning."
A famous person once said, "A good teacher is to combine students who love their major with those who love themselves."
Bruner pointed out: "The standard of oil painting education process is effect and time."
Bloom, an American psychologist, said: The greatest motivation for learning is the interest in learning materials.
German educator Dostoevsky said: "The art of teaching is not to impart skills, but to inspire, awaken and inspire."
The ancients emphasized; "Good temptation, good guidance. Modern educational theory holds that the real meaning of teaching is to change "learning" into "learning". In the 1970s, the UNESCO report "Learn to Live" clearly pointed out that the illiterate people in the future society will not be those who have no knowledge, but those who can't learn.
Dai Anbang, a famous chemist in China, said: "The chemistry laboratory should be the most effective and rewarding place for students to learn. To cultivate the quality of chemical science, we should not only impart knowledge, but more importantly.
It is important to develop students' intelligence. Intelligence factors include seven abilities: hands-on, observation, consultation, memory, thinking, imagination and expression, among which thinking is the core of intelligence factors. All the above quality factors can be cultivated in chemical experiment teaching, and non-intelligence factors are also increasing. "
The ancients said: Give people fish, only one meal; Give a man a fish and he will benefit for life.
American scholar brubeck said: "The most exquisite teaching art is to let students ask questions."
Guo Moruo said: "The purpose of teaching is to train students to study, study, think, see with their own eyes and do this spirit with their own hands."
Comrade Xu Guozhang, a famous foreign language professor, said at the Beijing self-taught youth diploma conference: "All outstanding scientists, artists and writers at all times and all over the world can only make inventions by their own study. Who can teach Shakespeare to be Shakespeare? Who can teach Einstein to discover and explain the basic principles of the universe? Who can teach Mr. Lu Xun to portray the image of Ah Q? Your own learning and creation are the driving force for progress. "
Mr. Ye Shengtao put forward: "The purpose of teaching is to achieve no need to teach."
Mr. Cai Yuanpei once said: "We teach to arouse students' interest in reading, not to be teachers.
Famous words of educators, famous words of education
1, a teacher, so those who preach, teach and dispel doubts are also. Han Yu
2. The country will be prosperous, expensive and heavy. xunzi
3. Teachers are role models. Yang Xiong
4, its body is right, but not ordered; His body is not straight, although he disobeys. Confucius
5. Keep your word and do what you want. Confucius
6. Never tire of learning and never tire of teaching. Confucius
7. Those who have no doubts about reading must teach those who have doubts and doubts, but there is no doubt that they will make progress here. Chu Hsi
8. Learning is not enough, but teaching is difficult. Book of rites
9. We firmly believe that education is a long-term plan of the country. Tao Xingzhi
10, a threesome must have my teacher. Confucius
1 1. Doing is the beginning of knowing, and knowing is the success of doing. Tao Xingzhi
12, knowing is not as good as being good, and being good is not as good as being happy. Confucius
13, learning without thinking is useless, thinking without learning is dangerous. Confucius
14, knowledge is power. bacon
15, a letter is better than no book. Mencius
16, advice in the most unpleasant time is helpful to action, and good medicine in the bitter time is beneficial to illness. ── Sima Qian
17, in a threesome, there must be my teacher, follow the good ones and change the bad ones. -Confucius
18, three friends who benefit, friends who are straight, friends who forgive and listen more, benefit; If you lose three friends, you will find them. If you are friendly and gentle, you will lose them. -Confucius
19, where there is a will, there is a way, and cross the rubicon. 102 Qin Guan will eventually return to Han; Hard-working people are rewarded by heaven, and they have tasted courage. More than 3,000 armour can swallow Wu. -Pu Songling
20. The method of reading is step by step, practice makes perfect and careful consideration. ── Zhu
2 1, good reading, bad reading; Good reading, bad reading. ── Wei Xu
22. Young people will be sad if they don't work hard. -Han Yuefu Long Songs.
23. Where teachers lack love, neither character nor wisdom can be fully or freely developed. Rousseau
24. Hold a heart without a blade of grass. Tao Xingzhi
The problem is not to tell him a truth, but to teach him how to discover it. Rousseau
26. The master coaxed me and told me to be polite, but I couldn't stop. Confucius
27. The art of teaching lies not in imparting skills, but in being good at inspiring, awakening and inspiring. Didos hui
28. I think a good teacher is not teaching, not teaching students, but teaching students to learn. Ye Shengtao
29. Anyone who teaches must expect that there is no need to teach. Ye Shengtao
30. Teaching must begin with the existing experience of learners. Dewey
3 1, all disciplines should essentially start from the time of mental enlightenment. Rousseau
32. Worry about the world first, and enjoy it later. fan zhongyan
A bad teacher will reveal the truth, while a good teacher will teach people to discover the truth. Didos hui
34. Teachers are also good at recovering losses. Book of rites
35. A good singer makes people follow his voice, and a good teacher makes people follow his ambition. Book of rites
36. It is difficult to be strict in learning the Tao. Book of rites
37. The study of antithesis is not enough to be a teacher. Book of rites
38. Make the educational process an artistic undertaking. Herbart
39. Reading history makes people wise, reading poems makes people wise, calculus makes people precise, philosophy makes people profound, ethics makes people cultivated, and logic and rhetoric make people able to contend. bacon
40. Only when a person receives a proper education can he become a person. Comenius
4 1, leading schools, first of all, the leadership of educational ideas, followed by administrative leadership. Suhomlinski
42. To be a teacher of the people, be a student of the people first. Mao Zedong
43. Teachers are a living link between the past and the future. Although its career seems ordinary, it is one of the greatest in history. Ushinski
44, jade is not cut, not a weapon; People don't learn or know. Book of rites
45, the industry is diligent, barren land; What you do in your mind is destroyed by laziness. Han Yu
46, no accumulation, no mileage; If you don't accumulate small streams, you won't be a river. xunzi
47. Only by enriching your mind with all the knowledge wealth created by human beings can you become a producer of * * *. Lenin
We don't need to learn by rote, we need to use basic knowledge to develop and improve the thinking ability of every learner. Lenin
49. I love my teacher, and I love truth more. Aristotle
50, the sound of reading in the wind and rain, the sound is in the ear; Family affairs, state affairs and world affairs are all concerned. Gu Xiancheng
5 1, the highest and ultimate goal of teaching is contained in this concept. Herbart
52, a person's various qualities, virtue is the first. locke
53, see xian Si Qi, see not wise and introspection. Confucius
54. Virtue is not an official, avenue is not a tool, and big characters are not left and right. Book of rites
55. A school without discipline is like a mill without water.
56. The roots of learning are bitter, but the fruits of learning are sweet. Learning comes from diligence, and wealth comes from thrift.
57. Discipline is the collective face, collective voice, collective action, collective expression and collective belief. Makarenko
58. Only education that can motivate students to educate themselves is true education. Suhomlinski
In any school, the most important thing is the ideological and political direction of the course, which is completely decided by the teachers. Lenin
60, don't wait, white head, empty and sad. ── Yue Fei
6 1, the back waves of the Yangtze River push the front waves, and the new people in the world chase the old ones. ── "those who enlarge the sages"
62. Wisdom, kindness and courage are important spiritual heritages of China. In the past, it was considered as a great virtue in the world, and today it is still an important indicator of personal perfect development. Tao Xingzhi
63. One percent of waste products in education will cause serious losses to the country. Makarenko
64. Teachers' personality is everything to educators, and only a healthy mind can have healthy behavior. Ushinski
65. The teacher's personal demonstration is the most useful sunshine that nothing can replace for the young people's hearts. Ushinski
66. Students should be eager to learn. Only a gentleman who never tires of learning can teach students who never tire of learning. Tao Xingzhi
67. Teachers and staff do what students are required to do; What students are required to learn, teachers and staff are all learning by hand; Students are required to abide by the rules, and faculty members are required to abide by them in person. Tao Xingzhi
68. People who are moved by words are not deeply impressed; Move people to the walkers. They should be quick. Li Zhi
69. Example is more important than language. Wang fuzhi
70, teachers also, teach them to do things. The Book of Rites
7 1, Mr. Wang should not teach exclusively, his responsibility is to teach people to be human; A student should not specialize in reading; His duty is to learn the way of life. Tao Xingzhi
72. In the hands of teachers, the fate of teenagers is the fate of the nation and mankind. Tao Xingzhi
73. Because morality is the foundation of being a man. Even if you have some knowledge and skills, it is useless if you are bad at all. Tao Xingzhi
74. The only source for students to respect their teachers lies in their virtue and talent. [Name] Albert Einstein (Jewish theoretical physicist)
As long as a teacher lies to his students once, all his educational achievements may be destroyed. Rousseau
76. What kind of person should a student be? Chernyshevski
77. Looking for tens of millions, the starting point is to ask. Smart people ask smart questions, while fools ask stupid questions. Tao Xingzhi
78. The best way to make students interested in a subject is to let them know that it is worth learning. Bruna
79. Overcoming yourself is the hardest victory. Suhomlinski
80. A gentleman's friendship is as light as water, a villain's friendship is as sweet as cucumber, a gentleman's friendship is as light as a kiss, and a villain's friendship is willing. -Zhuangzi
8 1, live with goodwill. If you enter Lan Zhi's room and don't smell its fragrance for a long time, you will be integrated with it. With poor human settlements, such as the boss of people and fish, if you haven't heard of it for a long time, you will be integrated with it. -Confucius
82, the acquaintance of people, you know each other; When people know each other, it is very important to know each other. -Monk (thinker, politician and educator in the Warring States Period)
83, near Zhu Zhechi, near the ink is black. ── Fu Xuan
84. People who love others will always love others; People who respect others will always respect others. -Mencius
However, as long as China maintains our friendship, heaven will remain our neighbor. Bo Wang
86. Mochow has no confidant in the road ahead, and no one in the world knows you. -Gao Shi (poet of Tang Dynasty)
87. People have joys and sorrows, and the moon has ups and downs. This matter is old and difficult. I hope people are beautiful. -Su Shi (Northern Song Dynasty writer and painter)
88. Life is about knowing each other, so why use gold and money? —— Li Bai (poet of Tang Dynasty)
89. We are both unhappy-why did Xiang Peng meet? -Bai Juyi (Tang Dynasty poet)
90. Make friends from beginning to end in life, and don't go to the middle. ── Helan Jin Ming
9 1, educating people is to form people's character. Irving
92. Without curiosity and pure thirst for knowledge as the driving force, it is impossible to produce inventions of great value to mankind and society. President of Harvard University Lu
93. A strong will can conquer any mountain in the world. bewitched
94. If learning is just imitation, then we won't have science and technology. The original name of NIZHNI NOVGOROD in Gorky City
95, the most basic way of human education is faith, only faith can affect faith. Ushinski
96. Learning without thinking is useless, and thinking without learning is dangerous. -Confucius
97. It is better to let nature take its course than to stick to the rules; Instead of seeking uniformity, it is better to show personality. Cai Yuanpei
98. The teaching profession is the most glorious profession in the world.
99. Teachers must have healthy bodies, farmers' skills, scientific minds, interest in art and the spirit of reforming society. Tao Xingzhi
100 I really believe that in our education, too much emphasis on simple intellectual education is often just for practicality and practicality, which directly leads to the damage to ethical education. [Name] Albert Einstein (Jewish theoretical physicist)
10 1. The goal of the school should always be: young people should leave school and be harmonious people, not experts. [Name] Albert Einstein (Jewish theoretical physicist)
102, the school's goal should be to cultivate individuals with independent actions and independent thinking, but they should take serving the society as their highest goal in life. [Name] Albert Einstein (Jewish theoretical physicist)
103, he was upright and didn't order; His body is not straight, although he disobeys. Confucius
104, only in the collective can individuals get the means to develop their talents in an all-round way, that is, only in the collective can they have personal freedom. Marx and Engels
105, human nature is not an abstract thing inherent in a single person, but actually the sum of all social relations. Marx and Engels
106, the power of public opinion in children's collective is completely a material and practical educational power. Makarenko
107, healthy body, healthy spirit. locke
108, aesthetic education and intellectual education can complete moral education. Cai Yuanpei
109, manual labor is a great disinfectant to prevent all social viruses. Marx
1 10, the early combination of productive labor and education is one of the most powerful means to transform modern society. Marx
1 1 1, respecting education and persuasion is the foundation of the country; Promoting talents and educating people is the first task of politics. Zhu Shunshui. Persuasive learning
1 12. People who have no doubt about reading must be taught to have doubts, but only when they have doubts can they make progress here. Chu Hsi
1 13. The lofty moral significance of labor lies in that a person can show his wisdom, skills, selfless love for his career and willingness to pass on his experience to his comrades in arms in the material achievements of labor. Suhomlinski
1 14, the force of public opinion in children's collective is completely a material and practical educational force. Makarenko
1 15, a day's work can get a night's sleep; If you work hard all your life, you will get a happy sleep. leonardo di ser piero da vinci
1 16. If life, work and study can be automated, the effect of education will get twice the result with half the effort. Therefore, we pay special attention to the cultivation of automatic power, so that it can pay attention to all life, work and study. Automation is conscious action, not spontaneous action. Conscious action needs proper cultivation to be realized. Tao Xingzhi
1 17. The early combination of productive labor and education is one of the most powerful means to transform modern society. Marx
1 18, I really believe that in our education, too much emphasis on simple intellectual education is often only for practicality and practicality, which directly leads to the damage to moral education. [Name] Albert Einstein (Jewish theoretical physicist)
1 19, teachers, adults are long, others are short. Only by making full use of the shortcomings of friends can we get rid of the shortcomings of others, and only by relying on our own advantages can we gain the advantages of others. Yuanwei
120, anyone should have self-esteem, self-confidence and independence, otherwise he will be a slave. But self-esteem is not belittling people, self-confidence is not complacency, and independence is not loneliness. Xu Teli
12 1. Be a teacher of the people, and be a student of the people first. Mao Zedong
122, sowing behavior, can harvest habits; Sowing habits can harvest character; Sowing character can reap fate. Thackeray
123, the teacher's love is a drop of dew, even a withered heart can wake up; Teacher's love is spring breeze, even frozen feelings will melt. Bett
Teachers must have healthy bodies, farmers' skills, scientific minds, artistic interests and the spirit of reforming society. Tao Xingzhi
125, all undertakings today must be solved scientifically; All knowledge must be learned from facts. Huang Yanpei
126, the greatest benefit of labor lies in the development of morality and spirit. This spiritual development is produced by harmonious labor, which should constitute the kind of human characteristics that distinguish proletarian social citizens from bourgeois social citizens. Makarenko
127, the problem is not to teach him all kinds of knowledge, but to cultivate his interest in learning. When this interest grows fully, teach him how to study. Rousseau
128, the standard of oil painting education process is effect and time. Bruna
129, the biggest motivation for learning is the interest in learning materials. flower
130, the art of teaching is not to impart skills, but to inspire, awaken and inspire. German educator Stilwell
13 1, cleverness lies in diligence and genius lies in accumulation. -China
132, don't do to others what you don't want them to do to you. -Confucius
133, people are inherently mortal, or heavier than Mount Tai or lighter than a feather, which is interesting to use. ── Sima Qian
134, the gentleman has Jiu Si: seeing clearly, listening, soft in color, respectful in appearance, loyal in words, respectful in things, questioning in doubt, thinking angrily, as you can see. ── Kong Qiu
135, don't do evil, don't do good. ── Pei Songzhi
136, the road is long, but this is Xiu Yuan, so I will go up and down. ── Qu Yuan
137, life has never died since ancient times, keeping the heart of Dan to follow history. -Wen Tianxiang from: inspirational quotations.
138, the sound of wind and rain reading, the sound is audible; Family affairs, state affairs and everything in the world care about everything. ── Gu Xiancheng (Ming scholar)
139, human life is limited, but serving the people is infinite. I will devote my limited life to serving the people indefinitely. ── Lei Feng
140, the past has been forgotten, and my heart is selfless. ── Tao Zhu (modern proletarian revolutionary and politician)
14 1. How many beats can a person have in his life? ── Rong Guotuan
Interest is the best teacher. Einstein's psychologist research also shows that people always try to explore and know what they are interested in; Interest is a person's unique cognitive intention and tendency to something, and it is a reflection of personal subjective initiative.
143 Therefore, Heaven has a great responsibility to Sri Lankan people, so we must first suffer from their minds, their bones and muscles, starve their bodies, empty their bodies, and do things in disorder, so we must be patient and have benefited from what they can't do. -Mencius
144, with copper as the mirror, you can dress; Taking history as a mirror, we can know the rise and fall; Take people as a mirror, you can know the gains and losses. Keep these three mirrors all the time in case they pass by. ── Li Shimin
145, be a person, be a China person and be a modern China person. Chen Heqin
146, anyone who doesn't develop, cultivate and educate himself can't develop, cultivate and educate others. Didos hui
Famous sentences are used as epigrams. I hope the above contents of "Famous sayings of Mathematical Educators" will be helpful to you. To get more famous sentences, you can click on the topic of famous sayings.