First, the sample guide. Nowadays, textbooks generally introduce new knowledge with examples, but I personally think it is far from enough. After all, there are few examples of comprehensive factors in teaching materials, and the broad-spectrum rate is low. Individual cases are difficult to be accepted by students. Instructors can start from the life around them and from what students like to see and hear. For example, when explaining trigonometric functions, the lecturer can introduce the trigonometric relationship mentioned by modern families and combine this relationship to introduce topics. The topics that students like at the beginning often last longer for the follow-up content, and the efficiency naturally improves.

Second, abstract reading guidance. Everyone is curious about the unknown, and lecturers can stimulate students' curiosity with a lot of abstract knowledge they usually master. For example, when explaining ellipses, you can spend about ten minutes telling you about the operation of celestial bodies and explaining why they operate in an elliptical way. After that, I believe that everyone's attention will increase.

Third, interest guidance. Students are more willing to participate in what they like. For example, most students can play online games now, which is not a good thing at first, but later lecturers can't fundamentally put an end to such things. Why not use these to promote students' learning? For example, when we explain the probability, we can talk about online games, what is the probability of winning with some equipment in the game behavior, and so on. And tell them from the side that learning this lesson well will be of great help to play the game well in the future.

Students have long been tired of listening to those false truths. If the teacher says "five stresses, four beauties and three loves" in class, it will undoubtedly arouse the disgust of all students. Starting from the topics they care about, it is relatively easy to stimulate their enthusiasm and persistence in learning.