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Construction of and Justification for the Acute and Obtuse Triangle Using the Right Triangle Manipulative Materials

  • Journal of Studies on Schools and Teaching
  • Abbr : JSST
  • 2023, 8(2), pp.61-93
  • DOI : 10.23041/jsst.2023.8.2.003
  • Publisher : Education Research Institute at CNUE
  • Research Area : Social Science > Education
  • Received : July 2, 2023
  • Accepted : August 31, 2023
  • Published : August 31, 2023

Kim Nam Gyun 1 Oh, Min Young 2 Lee, Mi Rim 3 Kim, Su Ji 4 Song, Dong Hyun 5

1청주교육대학교
2세종시교육청
3부용초등학교
4칠금초등학교
5종촌초등학교

Accredited

ABSTRACT

The purpose of this study is to examine the elementary school students’ understanding of acute and obtuse triangles using the jigsaw manipulative materials in the form of right triangles. To do that, the results of 15 fourth graders’ constructions of acute and obtuse triangles with the right triangle manipulative materials were quantitatively analyzed, and the types of justifications for the definition and properties of the triangles were qualitatively analyzed. The results of the study showed that students constructed a variety of acute and obtuse triangles using the right triangle manipulative materials, and there were differences in the construction results depending on the type of triangle, with some students constructing more acute triangles more easily than obtuse triangles. Students’ justifications for constructing the acute and obtuse triangles were either empirical justifications based on manipulation and intuition, or analytical justifications based on mathematical properties. It is also noteworthy that the types and characteristics of the justifications differed based on the students’ understanding of triangles. Based on this study, it can be said that the right triangle manipulative materials are useful for the elementary school students’ construction and justification of acute and obtuse triangles, yet it is necessary to conduct follow-up research on teaching and learning that would consider the characteristics of the students’ geometrical construction and justification.

Citation status

* References for papers published after 2023 are currently being built.