God created integers, and all the rest are artificial. -clone necker

when you are halfway through a problem-solving idea and find that your method is poor, please don't throw it away immediately, at least come back and re-analyze the previous idea after solving the problem with a new and better method.

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

it's better to keep the conventional problem-solving methods in mind than to talk about novel problem-solving methods.

In math 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.

the essence of mathematics lies in its freedom. -Conrad

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

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

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

Mathematics knowledge comes from and serves life.

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

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