First, clear the concept and establish the integrity of students' thinking. Abstract logical thinking refers to the thinking activity of mastering concepts and using them to make judgments and logical reasoning. Language is the shell of thinking.

Einstein once said: "The development of a person's intelligence and the method of forming concepts depend largely on language." The language area is narrow and lacks mathematical language, so their thinking activities are highly dependent on language. Therefore, we should attach importance to concept teaching in teaching and make every concept and every truth clear.

Second, strengthen training and cultivate the flexibility of students' thinking. In order to cultivate students' ability to solve problems accurately, quickly and flexibly, in the teaching of applied problems, we should pay attention to the training of writing problems by ourselves and solving many problems for one problem.

Self-compiled application questions should not only consider the rationality of structure, the logic and rigor of quantitative relationship, but also consider the flexibility of thinking. The process of compiling questions is actually the process of cultivating students' initial logical thinking. The practice of multiple solutions to one question not only cultivates the flexibility and creativity of students' thinking, but also stimulates their initiative and enthusiasm in learning.

Third, the teaching method of cultivating students' thinking logic. Develop students' initial logical thinking ability, and ensure the certainty and non-contradiction of thinking.

We must strictly abide by the basic laws of logic, and choose different teaching methods according to the logic of the textbook itself in teaching, so that students can know not only why, but also why. Teach students to tell the thinking process and problem-solving steps in an orderly and reasonable way, help students master the thinking method and improve their thinking ability.