Classic aphorisms for mathematics teaching

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

2. Mathematical knowledge comes from life and serves life.

3. Discover that every new group is mathematical in form because we can have no other guidance. ?C?G?Darwin

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

5. To establish the concept of space, there must be a hands-on process. The hands-on process is not only a practical process, but also a process of experimentation, imagination, reasoning and reflection.

6. Mathematics teaching activities must be based on students’ cognitive development level and existing life experience, allowing students to experience and explore, abstract practical problems into mathematical models, and explain and apply them. process.

7. If anyone does not know that the diagonals of a square and the same sides are incommensurable quantities, then he does not deserve the title of human being. ? Plato

8. Impetuous people tend to ask: How should I learn? Don’t ask, just learn.

9. Infinite! No other question has touched the human heart so deeply. ?D?Hilbert

10. History makes people smart, poetry makes people witty, and mathematics makes people sophisticated. ? Bacon

11. Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. ?A?L?Kexi

12. Never fail to follow some problem-solving rules that you are not proficient in just because the question is very small. Good habits are cultivated, not memorized once. .

13. Being able to use mathematical formulas does not mean that you can do mathematics.

14. The biggest failure and tragedy of a primary school mathematics teacher is that some students are afraid of mathematics because of you.

15. A mathematician without some poetic spirit can never become a complete mathematician. ?Weierstrass Famous Quotes in Mathematics Education

1. The more detached a mathematician is, the better. ?Anonymous

2. The best way to learn any new knowledge is for students to discover it themselves, because this kind of discovery has the deepest understanding and is also the easiest to grasp the inner laws and connections.

3. Infinite! No other question has touched the human heart so deeply. ? Hilbert

4. The science of pure mathematics can be said to be the most original creation of the human spirit in its modern stage of development. ?Whitehead

　5. It is a reliable rule that when the author of a mathematical or philosophical work writes in vague and esoteric terms, he is talking nonsense. ——A.N. Whitehead

6. Number theory is the oldest branch of human knowledge, yet some of its most profound secrets are closely connected with its most ordinary truths. ?Smith

7. Pure mathematics is the magician’s true magic wand. ?Novales

8. Countability rules the entire world of quantities, and the four arithmetic operations can be regarded as all the equipment of a mathematician. ? Maxwell

9. Impetuous people tend to ask: Is it better to write down the teacher’s notes in class or follow the teacher’s thinking without taking notes? Let me tell you, both are fine as long as you learn.

10. The simple formation of integers has been the source of new life for mathematics for centuries. ?G?D?Birkhoff

11. I have heard people say that I am an opponent of mathematics and an enemy of mathematics, but no one respects mathematics more than me because it completes my The performance of its achievements has not been achieved.

― Goethe

12. We can expect that with the development of education and entertainment, more people will appreciate music and painting. However, the number of people who can truly appreciate mathematics is very small. ?Bells

13. Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. ?Cauchy

　14. Mathematics is not just about solving problems.

15. Discover every new group that is mathematical in form, because we can have no other guidance. ?Darwin

　16. It is a reliable rule that when the author of a mathematical or philosophical work writes in vague and esoteric terms, he is talking nonsense. ?A?N?Whitehead

17. The essence of mathematics lies in its freedom. ——Cantor

18. Mathematics is the referee and master of laws and theories. ?Benjamin

　19. Never think that you have solved enough problems at any time.

20. No discipline can illustrate the harmony of nature more clearly than mathematics. ? Carlos Famous Quotes by Mathematics Teachers

1. God created the integers, and all other numbers are man-made. ?Kronek

2. When you are halfway through a problem-solving idea but find that your method is clumsy, please don’t abandon it immediately, at least use a new and better method to solve the problem. After that, come back and reanalyze the previous ideas.

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

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

5. In mathematics classes, the taste of mathematics should be purer. Think more from the perspective of mathematics itself and focus on comparisons, which will help promote students' reflection and achieve a conscious state of learning.

6. The essence of mathematics lies in its freedom. ?Kang Muer

7. In the field of mathematics, the art of asking questions is more important than the art of answering them. ——Cantor

8. The incomparable permanence and omnipotence of mathematics and its independence from time and cultural background are direct consequences of its essence. ?Ebo

9. Mathematics is one of the most valuable research spirits. ?Hua Luogeng

10. Whenever you learn a difficult mathematical point, try to explain this knowledge point to others and let them understand it. Only if you can explain it clearly will you really understand it.

11. The great architecture of the universe now begins to appear in the form of pure mathematicians. ?J?H?Jings

12. Most mathematical creations are the result of intuition, a more or less direct perception or quick understanding of facts, independent of any lengthy or formal reasoning process. ?Lucas (WilliamF.Lucas)

13. Observation may lead to discovery, observation will reveal some kind of rule, pattern or law. ? Polya

14. Don’t miss any example question that looks very simple? They are often not that simple, or they can lead to a lot of knowledge points.

15. If you are not a genius, if you want to learn mathematics, you should not want to play games? You think you have done it, but in fact your mathematics level has not improved along with your ability to pass levels? In fact, you can always remember it ：Learning mathematics is better if you play this big game of life!