유클리드의 자료론(The Data)과 분할론(On Divisons)에 기초한 수학교육에서 분석과 종합에 대한 고찰 = A Study on the Analysis and Synthesis in Mathematics Education Based on Euclid`s “The Data” and “On Divisions”

다국어 초록 (Multilingual Abstract)

This study is the consideration to ``The Data`` and ``On Divisions`` of Euclid which is the historical start of analysis and synthesis. ``The Data`` and ``On Divisions`` compared to Euclid`s Elements is not interested. In this study, analysis and synthesis were examined for significance. In this study, means for ``analysis`` and ``synthesis`` were examined through an analysis of ``The Data`` and ``On Divisions``. First, the various terms including analysis and synthesis were examined and the concepts of the terms were analyzed. Then, analysis was divided into ``external analysis`` and ``internal analysis``. And synthesis was divided into ``theoretical synthesis`` and ``empirical synthesis``. On the basis of this classification problem presented in elementary textbooks and the practical applications were explored.

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