Author(s)

Xiao Xu ¹, Jianhua Wu ¹

Affiliation(s)

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

Corresponding Author

Jianhua Wu

ABSTRACT

Mathematical thinking methods are a crucial component of core mathematical competencies, permeating the entire process of high school mathematics teaching. Trigonometry serves as an important link between elementary and advanced mathematics, and is also a high-frequency examination point in the college entrance examination. This article focuses on the educational value of mathematical thinking and the position of trigonometry within the discipline. It delves into core thinking methods such as combining numbers and shapes, reduction and transformation, classification and discussion, functions, and equations. Through specific examples like the Ferris wheel model and ancient poetry scenarios, it illustrates the integration of these ideas into teaching. Additionally, it proposes teaching strategies like problem-driven learning and situational creation, aiming to provide some reference for classroom teaching of trigonometry.

KEYWORDS

High school mathematics; trigonometric functions; mathematical thinking; teaching cases; core competencies

CITE THIS PAPER

Xiao Xu, Jianhua Wu. Mathematical ideas and teaching implications of trigonometric functions in high school mathematics. Curriculum and Teaching Methodology (2026). Vol. 9, No. 3, 135-141. DOI: http://dx.doi.org/10.23977/curtm.2026.090317.

REFERENCES

[1] Tan Li. Research on the Application of Mathematical Thinking and Method Teaching in Innovative Mathematics Education [J]. Journal of Chifeng University (Natural Science Edition), 2013, 29(23): 253-254.
[2] Jin Xiuhua. Analysis of the Survey on the Use of New Curriculum Experimental Textbooks for High School Mathematics [J]. Examination Weekly, 2015, (99): 61.
[3] Wu Xiaolan. Research on the Teaching of Trigonometric Functions in High School within the Context of Mathematical Thinking [J]. New Wisdom, 2019, (25): 58+60.
[4] Gong Liangliang. Teaching Students to Learn to Think: Taking the Graph of Trigonometric Function y=Asin(ωx+φ) as an Example [J]. New Curriculum Guidance, 2020, (29): 64-65.

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• Advances in Educational Technology and Psychology
  
  
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