In the process of learning mathematics and solving problems by using mathematics, people are constantly experiencing intuitive perception, observation and discovery, inductive analogy, spatial imagination, abstract generalization, symbolic representation, operational solution, data processing, deductive proof, reflective construction and other thinking processes. These processes are the concrete embodiment of mathematical thinking ability, which helps students to think and judge the mathematical model contained in objective things. Mathematical thinking ability plays a unique role in the formation of rational thinking. "

Jump thinking's ability is a mathematical thinking ability, which belongs to divergent thinking in essence. Divergent thinking not only has the characteristics of flexibility, novelty and flexibility, but also has the characteristics of transcending conventional thinking procedures and omitting some intermediate links. Because any thinking process, whether simple or complex, can be summarized into three parts through scientific abstraction, namely, starting knowledge, connecting media and inducing knowledge. The so-called connecting medium is an intermediate link (or a series of links) that leads to the conclusion knowledge by connecting related links. As far as logical thinking is concerned, its medium is conceptual knowledge; As far as thinking in images is concerned, its medium is knowledge in the form of images. Jumping thinking often omits some or all of the media. It can be a horizontal jump, a vertical jump or a jump at different levels. So it can be said that jump thinking is a higher level of divergent thinking. In mathematics learning activities, if jump thinking is used reasonably when thinking about problems, it can broaden the thinking space and increase the probability of success in solving problems; The rational use of jump thinking in writing can reduce unnecessary steps, thus making the key steps stand out and the expression more refined and reasonable.