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http://dx.doi.org/10.7468/jksmee.2017.31.2.223

A design of teaching units for experiencing mathematising of elementary gifted students: inquiry into the isoperimetric problem of triangle and quadrilateral  

Choi, Keunbae (Dept. of Math. Edu., Teachers College, Jeju National University)
Publication Information
Communications of Mathematical Education / v.31, no.2, 2017 , pp. 223-239 More about this Journal
Abstract
In this paper, it is aimed to design the teaching units 'Inquiry into the isoperimetric problem of triangle and quadrilateral' to give elementary gifted students experience of mathematization. For this purpose, the teacher and the class observer (researcher) made a discussion about the design of the teaching unit through the analysis of the class based on the thought processes appearing during the problem solving process of each group of students. The following is a summary of the discussions that can give educational implications. First, it is necessary to use mathematical materials to reduce students' cognitive gap. Second, it is necessary to deeply study the relationship between the concept of side, which is an attribute of the triangle, and the abstract concept of height, which is not an attribute of the triangle. Third, we need a low-level deductive logic to justify reasoning, starting from inductive reasoning. Finally, there is a need to examine conceptual images related to geometric figure.
Keywords
teaching units; isoperimetric problem; mathematisation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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