Case Design and Practice of Integrating Ideological and Political Education into Higher Mathematics Teaching

This paper explores how ideological and political education can be integrated into higher mathematics teaching through specific case design and practice, analyzing its important role in enhancing students’ comprehensive qualities and fostering innovative thinking, and moral character. First, we propose a strategy to combine ideological and political elements with higher mathematics teaching content to inspire students’ patriotism and sense of social responsibility. We selected “The Role of Mathematics in Describing the World and Society” as a theme for case design, using mathematical models to demonstrate applications in economics, the environment, and other fields, guiding students to recognize the close connection between mathematics and real life, thereby fostering their sense of national identity. Furthermore, we focus on the practical methods of ideological and political education in higher mathematics teaching. During the teaching process, we emphasize heuristic teaching, guiding students through independent inquiry and collaborative discussion, enhancing their problem-solving abilities and innovative thinking. Using “Fermat’s Last Theorem” as an example, students explore its proof process to appreciate the perseverance and truth-seeking spirit of scientists, thus enhancing their own moral qualities. Additionally, we discuss the evaluation mechanisms of ideological and political education in higher mathematics teaching. By designing a reasonable evaluation index system that focuses on students’ overall quality improvement, we ensure the effective implementation of ideological and political education. We employ a diversified evaluation approach that not only focuses on student’s academic performance but also their performance in ideological and political education, aiming for a comprehensive assessment of its effectiveness.