Supplement: Thinking is an indirect reflection of the human brain's generalization of the essence of things and the regular relationship between things. Thinking is the core component of cognition, and the development level of thinking determines the structure and function of the whole knowledge system. Therefore, it is of great significance to develop the thinking potential of senior high school students and improve their thinking quality.
Thinking quality mainly includes flexibility, extensiveness, agility, profundity, originality and criticism of thinking. The flexibility of thinking is based on the extensiveness and profundity of thinking, which provides good quality for the agility, originality and criticism of thinking. In people's work and life, it is easy to act according to the rules, but difficult to innovate. The difficulty lies in the lack of flexible thinking. Therefore, the cultivation of thinking flexibility is particularly important.
Mathematical thinking is a thinking process in which the human brain interacts with mathematical objects and understands mathematical laws according to general thinking laws. Its performance is that students start from the original cognitive structure, through a series of mathematical thinking activities, such as observation, analogy, association, conjecture, etc., show the problem and put forward the process in a three-dimensional way, and have a strong thirst for knowledge in the association process of reviewing the past and learning new things, participate in the formation of concepts and the development of conclusions as much as possible, and master observation, experiment, induction, deduction, analogy and put forward.