INTERDISCIPLINARY INTEGRATION OF ANALOGICAL THINKING IN REAL ANALYSIS TEACHING FROM THE PERSPECTIVE OF CORE COMPETENCIES
Volume 3, Issue 3, Pp 26-29, 2025
DOI: https://doi.org/10.61784/wjes3053
Author(s)
LiXu Yan
Affiliation(s)
Department of Mathematics, School of Science, Northeast Forestry University, Harbin 150040, Heilongjiang, China.
Corresponding Author
LiXu Yan
ABSTRACT
This study systematically explores the cross-disciplinary application model of analogical thinking in real analysis teaching based on the core competencies education concept. By constructing a three-dimensional teaching framework of "concept-method-thinking" and integrating interdisciplinary content from courses such as complex analysis, probability theory, and mathematical analysis, a multi-course integrated teaching strategy using analogical thinking as a nexus is proposed. Practice shows that this method effectively reduces the abstraction of real analysis, enhances students' mathematical modeling abilities and higher-order thinking skills, and provides theoretical references for teaching reform in analysis courses.
KEYWORDS
Core competencies; Analogical thinking; Real analysis; Interdisciplinary integrated teaching model
CITE THIS PAPER
LiXu Yan. Interdisciplinary integration of analogical thinking in real analysis teaching from the perspective of core competencies. World Journal of Educational Studies. 2025, 3(3): 26-29. DOI: https://doi.org/10.61784/wjes3053.
REFERENCES
[1] Cao G F. Project-based teaching in real analysis. Journal of Mathematics Education, 2021, 30(02): 32-37.
[2] Wang W, Yang S G. Application of problem-set reflective teaching in real analysis. College Mathematics, 2024, 40(01): 36-41.
[3] Wang L, Gao Y L. "Problem chain" practice in real analysis. College Mathematics, 2024, 40(04): 29-33.
[4] Wang S Y. Cultivating mathematical literacy through real analysis. University Education, 2021, 12: 92-94.
[5] Reed Z. Component-Wise Reasoning as a Mechanism of Sense-Making in Real Analysis. Int. J. Res. Undergrad. Math. 2023, 9: 217–242.
[6] Dumitrascu D. Integration of guided discovery in the teaching of real analysis. Primus, 2009, 19(4): 370-380.
[7] Rezky A, Baharuddin, Sri S, et al. Development of Guided Discovery Based Mathematics Teaching Materials. Alauddin Journal of Mathematics Education, 2023, 5(1): 35-46.
[8] Cheng Q X, Zhang D Z, Hu S W, et al. Fundamentals of Real Analysis and Functional Analysis. Beijing: Higher Education Press, 2019.