조선 산학서 《주서관견》의 도해적 추론
Diagrammatic Reasoning in Joseon Mathematics Book ‘JuseoGwangyeon’
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초록
다이어그램이 지닌 특성으로 인해 도해적 추론은 일반적인 사고와 구별되는 잠재성과 한계를 지닌다. 내용상 계산술에 집약되어 대수적 특성이 강하였고 형식상 언어적 표현을 선호했던 조선 산학서에 다이어그램이 거의 등장하지 않은 것은 자연스럽다고 할 수 있다. 그러나 조선시대 후기로 접어들면서 설명을 용이하게 하기 위한 교육적 목적과 서양 수학의 영향으로 인해 다이어그램의 사용 빈도가 증가하는 것이 주목된다. 이를 대표하는 산학서인 조태구의 \ccnm{주서관견}에 포함된 다이어그램의 역할에 따른 도해적 추론을 분석하였다. 분석 결과를 토대로 수학교육적 관점에서 다이어그램 활용에 대한 논의를 포함하였다.
Abstract
By virtue of the characteristics inherent in diagrams, diagrammatic reasoning has potential and limitations that distinguish it from general thinking. It is natural that diagrams rarely appeared in Joseon mathematical books, which were heavily focused on computation and algebra in content, and preferred linguistic expressions in form. However, as the late Joseon Dynasty unfolded, there emerged a noticeable increase in the frequency of employing diagrams, due to the educational purposes to facilitate explanations and the influence of Western mathematics. Analyzing the role of diagrams included in Jo Taegu's `JuseoGwangyeon', an exemplary book, this study includes discussions on the utilization of diagrams from the perspective of mathematics education, based on the findings of the analysis.
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