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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

동적 기하를 활용한 아리스타르코스 측정법의 현대적 재구성과 고등학생의 수학적 모델링 타당화 과정 연구

A Study on the Modern Reconstruction of Aristarchus’ Method Using Dynamic Geometry and the Mathematical Modeling Validation Process of High School Students

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2026, v.33 no.2, pp.117-141
https://doi.org/10.7468/jksmeb.2026.33.2.117
조상제 (명신고등학교)
조민식 (한국교원대학교)

Abstract

This study examined representations of Aristarchus’ measurement method and the educational value of GeoGebra-based modeling. Textbook analysis and a case study revealed that fixed values constrained critical thinking, whereas modeling tasks led students to derive 89.85° and experience cognitive conflict. Through technological refinement, students recognized the model’s validity and engaged in deeper validation. The study highlights the role of technology in fostering data evaluation and mathematical understanding.

keywords
Aristarchus’ Method, Mathematical Modeling, GeoGebra, Mathematical Validation

한국수학교육학회지시리즈B:순수및응용수학