Author(s)

Ruixue Chen ¹, Ying Zhang ¹

Affiliation(s)

¹ School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

Corresponding Author

Ying Zhang

ABSTRACT

This article is based on the core competencies of mathematical modeling and SOLO classification theory to design a teaching plan for the high school lesson on 'The Concept of Trigonometric Functions'. Aimed at the cognitive development process of students from intuitive understanding to abstract comprehension, it uses the motion of a Ferris wheel as a real-world context to guide students in establishing geometric models in both Cartesian and polar coordinates, exploring the generalization of trigonometric function definitions from acute angles to any angles. Through dynamic software demonstrations, guided question chains, and tiered exercises, it helps students understand the essence of trigonometric functions as mathematical models that characterize periodic phenomena, achieving a cognitive leap from structural understanding to relational understanding, thus promoting the unity of knowledge construction and competency development.

KEYWORDS

Mathematical Modeling; SOLO Classification Theory; Concept of Trigonometric Functions; Teaching Design

CITE THIS PAPER

Ruixue Chen, Ying Zhang, Teaching Design for the Concept of Trigonometric Functions from the Perspective of Mathematical Modeling Core Competency. Curriculum and Teaching Methodology (2025) Vol. 8: 66-73. DOI: http://dx.doi.org/10.23977/curtm.2025.080709.

REFERENCES

[1] Wei Zhongtian. Research on Strategies for High School Mathematics Modeling Literacy Based on Inequality Teaching [D]. Guizhou Normal University, 2025.
[2] Li Ping. An Example Discussion on How to Integrate Mathematical Modeling in the Process of Mathematicalization -Taking the Teaching of 'Concept of Trigonometric Functions' as an Example [J]. Journal of Shaoguan University, 2021, 42(06): 103-108.
[3] Ding Xue, Zhang Jianping. Research on Stratified Teaching Methods Based on SOLO Classification Theory - Taking Exponential Functions as an Example[J]. Science and Technology Wind, 2025, (04): 99-101.
[4] Dun Jianan, Chen Dongfeng. Research on the Teaching of Trigonometric Function Concepts Based on the Mathematical Modeling Process [J]. Mathematical Bulletin, 2020, 59(06): 23-28.

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