Author(s)

Yangchun Hu ¹, Ying Zhang ¹

Affiliation(s)

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

Corresponding Author

Ying Zhang

ABSTRACT

Based on the Van Hiele levels of geometric thought theory and taking "Exploring the Conditions for Triangle Similarity" as an example, this article investigates the cultivation pathways for geometric reasoning abilities among junior high school students. The study integrates the core requirements for "geometric intuition" and "reasoning abilities" outlined in the Mathematics Curriculum Standards for Compulsory Education (2022 edition), it explores the connections between the Van Hiele theory and "similar triangles," and the researchers designs tiered instructional activities accordingly. Through a four-phase teaching process" intuitive-perception-exploratory conjecture-reasoning depth-extension enhancement"- teachers guide students to transition gradually from intuitive recognition to formal deduction, which achieving progressive advancement in geometric thinking. The article aims to overcome students' cognitive barrier of "disconnection between intuition and reasoning," it enhance their geometric reasoning abilities and systematic thinking levels, and provide an actionable paradigm reference for junior high school geometry instruction.

KEYWORDS

Van Hiele Theory; Geometric Reasoning; Similar Triangles; Instructional Design

CITE THIS PAPER

Yangchun Hu, Ying Zhang, A Study on Instructional Design for Geometry Reasoning Ability Based on Van Hiele Theory. Curriculum and Teaching Methodology (2025) Vol. 8: 142-150. DOI: http://dx.doi.org/10.23977/curtm.2025.080718.

REFERENCES

[1] Ministry of Education of the People's Republic of China. Mathematics Curriculum Standards for Compulsory Education (2022 Edition) [M]. Beijing: Beijing Normal University Press, 2022, 4: 1-72.
[2] Bao Jiansheng, Zhou Chao. Psychological Foundation and Process of Mathematics Learning [M]. Shanghai: Shanghai Education Publishing House, 2009, 10: 5-25.
[3] Wang Linting. Research on Junior High School Mathematics Teaching Based on the ARCS Motivation Model [D]. Luoyang: Luoyang Normal University, 2025. 
[4] Xu Jiale. Research on Learning Obstacles and Teaching Strategies of "Similar Triangles" in Junior High School [D]. Hohhot: Inner Mongolia Normal University, 2025.
[5] Song Yuyan. Investigation on the Current Situation of Geometric Reasoning Ability of Ninth Grade Students and Research on Cultivation Strategies [D]. Hefei: Hefei Normal University, 2024. 

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