Keywords
Advanced Mathematics
Teaching reform
Submitted : 2025-07-09
Accepted : 2025-07-24
Published : 2025-08-08
Abstract
This paper explores the practice and application strategies of the case teaching method in the teaching reform of the Advanced Mathematics course. Taking “The limit of sequences to solve the ancient cattle separation problem” as an example, the OLISE teaching design model is adopted for case design. The specific measures for the design of teaching objectives and the organization of teaching activities are introduced. The ideas and plans of the course design can be extended to other university mathematics courses. The blended teaching model of “interaction, participation, and improvement” and case-based teaching can enhance students’ interest, strengthen teamwork awareness, enhance two-way communication between teachers and students, and improve students’ learning quality and learning effect.
References
Gao XF, Li Z, 2023, Innovative Practice of Advanced Mathematics Teaching Based on the “One Mind, Two Thoughts, Three dimensions” Model. College Mathematics, 39(1): 31–37.
Jia HF, 2024, A Preliminary Exploration and Practice of Teaching Reform of “Advanced Mathematics”. Educational Teaching Forum, 2024(18): 65–68.
Qian ZX, 2024, Giving Full Play to the Role of Higher Mathematics Education in the Cultivation of Applied Talents: Taking the Course “Complex Function and Integral Transformation” as an Example. Science and Technology Wind, 2024(15): 14–16.
Xiao CY, 2024, Research on Ideological and Political Education in Higher Mathematics Curriculum Based on the Concept of “All-round Education”. Research Achievements and Communication, 2024(3): 187–190.
Gu YH, 2023, Teaching Reform of “Advanced Mathematics” Course in Economics and Management Guided by the Concept of Core Literacy Education: A Case Study of Beijing Forestry University. China Forestry Education, 41(3): 71–74.
Wei YH, Yin DD, 2022, Practical research on Case Teaching Method under the Reform of Advanced Mathematics Curriculum in Applied Local Undergraduate Colleges. Advanced Mathematics Research, 25(3): 93–95.
Han Y, Li L, 2024, Exploration and Practice of Teaching Reform of Advanced Mathematics course for Applied Undergraduate Students. Educational Progress, 14(6): 91–96.
Liu LX, Yang YY, Han Y, et al., Science and Education of Horizon, the Application of Case Teaching in Higher Vocational Higher Mathematics. Hong, 2023(2): 123–125.
Zhang JL, Xie PP, Zeng XY, 2024, Research in Advanced Mathematics, 27(1):103–107.
E JW, Jiang HD, Ji QB, 2023, Exploration and Reflection on the “Probability Theory and Mathematical Statistics” Course in the Cultivation of Statistical Literacy. Science and Technology Wind, 2023(35): 44–46.
Zhang SJ, 2023, Research on the Application of Course-based Ideological and Political Education in Higher Mathematics Teaching. Research Achievements and Communication, 2023(4): 643–646.
Xia GK, Ding YM, 2024, Research and Practice of the O-APASI Teaching Model in Advanced Mathematics. Innovative Education Research, 12(5): 104–109.
Wang X), 2024, Practice and Exploration of Higher Mathematics Teaching Reform Integrating Ideological and Political Education into the Curriculum. Educational Progress, 14(12): 5.
Cao QQ, 2023, Exploration and Practice of “Course-based Ideological and Political Education” Teaching Cases in Advanced Mathematics under the Background of New Engineering. Journal of Luoyang Normal University, 42(5): 93–97.
Huang YY, Li LX, 2023, Exploration and Practice of Case-based Teaching of Advanced Mathematics in the context of New Engineering. Science and Technology Wind, 2023(36): 119–121.