Research on Ideological and Political Construction of Advanced Mathematics Course Based on Knowledge Graph

Serving as a basic component for science and engineering courses in higher education, advanced mathematics is vital for the cultivation of students' mathematical literacy, comprehensive abilities, and core values along with the ideological and political development within the curriculum. Based on the contents and characteristics of Advanced Mathematics, this paper proposes a systematic curriculum ideology and politics development plan by leveraging the semantic and visual characteristics of knowledge graphs. By establishing a knowledge graph of Advanced Mathematics, it builds up an associative network between knowledge points and ideological and political elements, thereby forming a three-tiered ideological and political curriculum framework of "knowledge objectives-ability objectives-value objectives". Additionally, a novel "four-step cyclical teaching method" is constructed based on the knowledge graph, so that current knowledge can be integrated deeply with ideological and political education through methods including knowledge transfer, ideological and political exploration, practical application, reflection, and summation. Furthermore, a dynamic feedback evaluation system is introduced which utilizes learning behavior records, evaluations of ideological and political effectiveness, and personalized feedback to deliver precise analysis results of curriculum teaching effects. Indeed, feasible ideas and implementation plans can be offered by this paper to make knowledge education and value systems in line with each other.