Abstract
Due to the development of modern mathematics axiomatization, higher mathematics teaching methods tend to be axiomatized, so students will encounter difficulties in forming and internalizing abstract concepts when learning abstract theories. This project takes the teaching of Lebesgue integral theory in the real variable function theory as the research object, transforms the key issues encountered in the development of integral theory and how mathematicians think about them into seven learning worksheets (including the evolution of function definitions, why and how to expand the class of integral functions, and why the concept of the countable additivity is needed and so on). The student's response to the learning worksheet partially reproduces the development process of integral theory, allowing teachers to further design teaching to guide students to understand the structure of integral theory and the problems to be solved. Furthermore, understanding the complete development process of an abstract theory, rather than just the knowledge learning of the final result or theorem, will help improve students' ability to analyze and solve new problems.