Abstract thinking is widely used in mathematics. Mathematical abstraction refers to the abstraction of quantitative relations and spatial forms in order to obtain the literacy of mathematical research objects. It mainly includes: abstracting the relationship between mathematical concepts and concepts from the relationship between quantity and shape, abstracting general laws and structures from the specific background of things, and expressing them in mathematical language.

The application of abstract thinking in mathematics includes but is not limited to the following aspects:

-Proof theorem

-Study the nature of the problem

-Discover new theorems and proof methods

-Studying the properties and characteristics of mathematical objects