Archimedes의 쌍둥이 원을 활용한 이차곡선 교수･학습 방안 탐색 = Exploring teaching and learning methods for quadratic curves using Archimedes' twin circles

다국어 초록 (Multilingual Abstract)

The reality is that most content related to the history of mathematics, both domestically and internationally, is somewhat difficult to access for middle and high school students, as well as in-service teachers. Therefore, reinterpreting various historical materials in a contemporary context, tailored to the students' perspective, can hold significant educational value. This study developed teaching and learning materials based on a curriculum-based reinterpretation of "Arbelos" and "Archimedes' twin circles," and applied them to a pilot class for pre-service teachers.
Given that the unit focused on quadratic curves, the developed materials were designed to enhance visual representations using GeoGebra, a mathematics learning software. The dynamic visualizations of quadratic curves help solidify the connection between algebra and geometry, promote multifaceted understanding, and enhance both the aesthetic and practical appreciation of mathematics. Based on survey results from participating pre-service teachers, the developed materials were found to be applicable to the teaching and learning of quadratic curves.