Mathematical thinking ability mainly includes four aspects: observation, experiment, comparison, clear thinking, analysis, synthesis, abstraction and generalization, and reasoning with regression, deduction and correlation; Can thoroughly and accurately understand their own thoughts and viewpoints, use mathematical concepts, ideas and methods, distinguish mathematical relationships, and form good thinking quality.

Perception is the trinity of knowledge and skills, accuracy and method, perception and quotient, value and belief in curriculum standards, which embodies the importance of parent teaching in curriculum standards and guides students to practice actively, think independently and explore cooperatively.

So as to realize the change to the learning mode, cultivate students' ability to process information, acquire new knowledge, analyze problems, solve problems and communicate and cooperate, and indirectly and generally reflect the general particularity and regularity of objective things.

"Mathematical thinking" is a form of thinking activity that uses mathematics to think and solve problems. Thinking refers to the generalization and indirect reflection of the objective reality by the human brain, which belongs to the basic activity form of the human brain. Thinking is an advanced form of psychological activity. Mathematical thinking is what people usually call mathematical thinking ability, that is, the ability to think and solve problems from a mathematical perspective.

For example, reduction, from general to special, from special to general, the idea of function/mapping and so on. Generally speaking, people with strong mathematical ability basically have two abilities, one is association, and the other is digital sensitivity. The former can link two seemingly unrelated problems, among which structural ability is the most convincing; The latter is the so-called geek exposed by most people.

It is clearly pointed out in the curriculum standard of mathematics teaching in junior and senior high schools in China that thinking ability mainly refers to: observation, experiment, comparison, guess, analysis, synthesis, abstraction and generalization; Able to use induction, deduction and analogy for reasoning; Will logically and accurately explain their own ideas and opinions; Can use mathematical concepts, ideas and methods to distinguish mathematical relations and form good thinking quality.