id: 06662208
dt: j
an:
au: Suh, Bo Euk
ti: Analytic study on construction education based on Euclid’s {\it On
divisions}.
so: East Asian Math. J. 32, No. 4, 483-500 (2016).
py: 2016
pu: Youngnam Mathematical Society c/o Kyungnam University, Department of
Mathematical Education, Changwon
la: KO
cc: G40 G80 D30 A30
ut: Euclid’s {\it On divisions of figures}; construction; construction
education; mathematics curriculum; geometry education
ci:
li: doi:10.7858/eamj.2016.035
ab: 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.
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