@article {MATHEDUC.06662208,
author = {Suh, Bo Euk},
title = {Analytic study on construction education based on Euclid's {\it On divisions}.},
year = {2016},
journal = {East Asian Mathematical Journal},
volume = {32},
number = {4},
issn = {1226-6973},
pages = {483-500},
publisher = {Youngnam Mathematical Society c/o Kyungnam University, Department of Mathematical Education, Changwon},
doi = {10.7858/eamj.2016.035},
abstract = {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.},
msc2010 = {G40xx (G80xx D30xx A30xx)},
identifier = {06662208},
}