Symbolic thinking method: refers to the thinking method of describing mathematical content with symbolic language including letters, numbers, graphics and various specific symbols.

2.

Analogical thinking method: refers to the thinking method of transferring the known properties of one kind of mathematical object to another according to the similarity of two kinds of mathematical objects, such as additive commutative law, multiplicative commutative law, etc.

3.

Transformation of thinking method: refers to the transformation of thinking method from one form to another, such as the deformation of formula.

4.

The thinking method of combining numbers and shapes: Numbers and shapes are two main objects of mathematical research, and numbers cannot be separated from shapes, and shapes cannot be separated from numbers. On the one hand, abstract mathematical concepts and complex quantitative relations can be visualized, visualized and simplified with the help of graphics; On the other hand, complex shapes can be expressed by simple quantitative relations.

5.

Classified thinking method; Refers to the thinking method of classifying mathematical objects according to certain classification standards, such as the classification of natural numbers.