The Mathematical Education (한국수학교육학회지시리즈A:수학교육)

Korean Society of Mathematical Education (한국수학교육학회)
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A Comparative Study on Congruence and Symmetry in Elementary Mathematics Textbooks of Korea, Japan, Hong Kong, Finland, and Singapore

한국, 일본, 홍콩, 핀란드, 싱가포르 초등 수학 교과서의 합동과 대칭에 대한 비교·분석

  • Pang, JeongSuk (Department of Elementary Education, Korea National University of Education) ;
  • Kim, YuKyung (Sangchon Elementary School)
  • Received : 2017.04.05
  • Accepted : 2017.08.16
  • Published : 2017.08.31
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Abstract

This study compared and contrasted the topics related to congruence and symmetry in the elementary mathematics textbooks series of Korea, Japan, Hong Kong, Finland, and Singapore in three aspects: (a) when to teach, (b) what to teach, and (c) how to teach. Firstly, the results of when to teach showed differences across the countries with a variation of teaching the topics among grades from 3 to 6. Secondly, the results of what to teach revealed subtle but significant differences. Regarding congruence, Korea and Japan deal with congruence in a systematic manner, while Finland tends to address the brief definition of congruence, and Hong Kong and Singapore focus on teaching tessellation which implies congruence. Regarding symmetry, Korea and Japan deal only with a symmetric figure for a line and that for a point, while Hong Kong includes a rotational symmetry and Finland extends further to cover the figures positioned in a symmetry both for a line and for a point. Lastly, the results of how to teach demonstrated that Korea tends to focus on the procedure of drawing both triangles to be congruent and symmetric figures. This implies that we need to consider alternative methods such as using various instructional materials and making an explicit connection among mathematical concepts in teaching congruence and symmetry.

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References

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