
06662208
j
Suh, Bo Euk
Analytic study on construction education based on Euclid's {\it On divisions}.
East Asian Math. J. 32, No. 4, 483500 (2016).
2016
Youngnam Mathematical Society c/o Kyungnam University, Department of Mathematical Education, Changwon
KO
G40
G80
D30
A30
Euclid's {\it On divisions of figures}
construction
construction education
mathematics curriculum
geometry education
doi:10.7858/eamj.2016.035
Summary: The ancient Greek mathematician Euclid left three books about mathematics. They are {\it Elements}, {\it The data}, and {\it On divisions of figures}. This study is based on the analysis of Euclid's {\it On divisions of figures}. {\it On divisions of figures} is a book about the construction of the shape. Because, there are thirty six propositions in {\it On divisions of figures}, among them 30 propositions on constructions. In this study, based on the {\it On divisions of figures}, we explore the direction for construction education. The results were as follows. First, the proposition of {\it On divisions of figures} shall include the following information. It is a `proposition presented', `heuristic approach to the construction process', `specifically drawn presentation', `proof process'. Therefore, the content of textbooks needs a qualitative improvement in this way. Second, a conceptual basis of {\it On divisions of figures} is the {\it Elements}. The {\it Elements} includes 25\% construction propositions. However, the geometric constructions contents in the middle school area is only 3\%. Therefore, it is necessary to expand the learning of constructions in the mathematics curriculum.