Practical Exploration of Integrating Ideological and Political Education into Mathematical Analysis Courses: Taking the Teaching of the Concept of Limit as an Example

DOI

10.2991/978-94-6463-750-2_30How to use a DOI?

Keywords

Mathematical Analysis; Limit Theory; Scientific Spirit; Computer Technology; Artificial Intelligence

Abstract

This research focuses on the teaching of the concept of limit in the “Mathematical Analysis” course, exploring how to integrate ideological and political education elements deeply into mathematics teaching to achieve the organic unity of knowledge imparting and value guidance. Based on the “Guidelines for the Construction of Ideological and Political Education in Higher Education Courses” issued by the Ministry of Education, and targeting the issues of superficial and fragmented ideological and political elements in current mathematical analysis teaching, this paper proposes a transformation mechanism of “knowledge understanding → thinking improvement → value internalization.” By deconstructing the concept of limit from historical, philosophical, and methodological dimensions, ideological and political elements are systematically integrated into teaching practice. The use of computer technology and artificial intelligence tools, such as Python for data visualization, enhances students’ intuitive understanding and practical abilities. In the historical dimension, by comparing the development of mathematics in China and the West, students’ cultural identity and scientific spirit are enhanced. In the philosophical dimension, through the dialectical relationships in the concept of limit, students’ dialectical thinking ability is cultivated. In the methodological dimension, through strict mathematical proofs and engineering applications, students’ awareness of the rule of law and systematic thinking are shaped. Teaching practice shows that this integrated approach significantly improves students’ comprehension of mathematical concepts, strengthens their value identification, and boosts their overall literacy. Future research will focus on developing virtual-reality integrated experimental platforms and interdisciplinary teaching communities to further promote the systematic construction of STEM ideological and political education.

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Fusheng Xie
PY  - 2025
DA  - 2025/06/15
TI  - Practical Exploration of Integrating Ideological and Political Education into Mathematical Analysis Courses: Taking the Teaching of the Concept of Limit as an Example
BT  - Proceedings of the 2025 4th International Conference on Educational Innovation and Multimedia Technology (EIMT 2025)
PB  - Atlantis Press
SP  - 310
EP  - 320
SN  - 2667-128X
UR  - https://doi.org/10.2991/978-94-6463-750-2_30
DO  - 10.2991/978-94-6463-750-2_30
ID  - Xie2025
ER  -