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http://dx.doi.org/10.7468/jksmec.2011.14.1.027

A Study on the A nalysis and Synthesis in Mathematics Education Based on Euclid's 'The Data' and 'On Divisions'  

Suh, Bo-Euk (Mathematics Education, Catholic University of Daegu)
Publication Information
Education of Primary School Mathematics / v.14, no.1, 2011 , pp. 27-41 More about this Journal
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.
Keywords
Analysis; Synthesis; The Data; On divisions; Geometry in School;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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