Mathematical thinking is a form of thinking activity that uses mathematical methods to think and solve problems, which is what people usually call mathematical thinking ability, that is, the ability to think and solve problems from a mathematical perspective. Such as transformation and classification, from general to special, from special to general, the idea of function/mapping and so on. Generally speaking, people with strong mathematical ability are basically embodied in 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 most exposed so-called geek, such as Nash and so on. Of course, there are also two abilities combined.
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.