Why is there jumping thinking in mathematics? Mathematics is a criss-crossing theoretical system, like a complex network, and each specific point of knowledge can be regarded as one of this network

Why is there jumping thinking in mathematics?

Mathematics is a criss-crossing theoretical system, like a complex network, and each specific knowledge point can be regarded as a node in this network.

We can think that every two knowledge points can be directly linked or indirectly linked through other knowledge points and theories.

If a person goes directly from one knowledge point to another indirect connection knowledge point, so that the observer feels that there is a logical vacuum, this can be called jumping thinking, or discrete thinking.

Sometimes, the thinker who performs jumping thinking may not be aware of the jumpiness of his thinking, he just tries to see things from another perspective, or quickly completes the logical connection in the brain.

In science, jumping thinking can occasionally do wonders. A variety of mathematical techniques can be seen as examples of jumping thinking, and these mathematical techniques do solve a lot of specific problems. Probably because of this, many friends enjoy it. But in general, jumping thinking has great uncertainty and superficiality, and it is easy to play abnormally.

It is recommended that middle school students and college students cultivate continuous thinking or natural thinking in the process of learning, and dig deep into the mathematical ideas behind mathematical skills. As a result, the logic of the problem encountered is clearer, and it is often more likely to achieve the goal.

The above ugly views are only throwing bricks and leading jade. Welcome to comment on Axe Zheng [smile] [applause]