• Education of Primary School Mathematics
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• v.14 no.1
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• pp.27-41
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• 2011

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.