Research on Blended Teaching of Advanced Mathematics Based on Knowledge Graph Integration with BOPPPS

In response to the problems of knowledge fragm entation and low student participation in higher mathematics teaching, this study proposes a blended learning model that integrates knowledge graph and BOPPPS. By constructing a knowledge graph of advanced mathematics, structured association and dynamic updating of knowledge points are achieved, and a teaching process is designed based on the six stages of the BOPPPS model. Finally, based on multiple regression analysis, the online learning effectiveness of students was evaluated. Practical research has confirmed that the deep integration of knowledge graph and BOPPPS can enhance learning systematicity and autonomy, improve students' learning outcomes, and provide a scalable theoretical framework and practical path for intelligent teaching of higher mathematics.