This paper writes interesting teaching into the course outline and optimizes the interesting teaching cases of specific courses. Taking the traveling salesman problem, Kruskal algorithm, and the personalized recommendation algorithm that breaks the information cocoon as examples, this paper explains the analysis and presentation of interesting teaching, designs teaching details, and improves the quality of the course. It also introduces the writing of interesting algorithm design teaching materials to stimulate students’ enthusiasm for designing more advanced algorithms, in order to provide a reference for the teaching of related courses.