Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
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On Exploring the Properties of Pythagorean Triples Using Spreadsheets

스프레드시트를 활용한 피타고라스 삼원수 성질의 탐구

  • Son, Hong-Chan (Dept. of Math. Education, Chonbuk National University)
  • Received : 2011.01.13
  • Accepted : 2011.02.07
  • Published : 2011.02.15
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Abstract

In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.

본 고에서는 중학교 3학년 영재학생 5명을 대상으로 한 실험 수업 결과를 바탕으로 스프레드시트 환경에서 학생들이 생성수의 조건 변화에 따른 피타고라스 삼원수의 다양한 성질을 탐구할 수 있었음을 논하였고, 스프레드시트 환경이 스프레드시트의 구체적 수치로부터 학생이 발견하고 증명한 성질을 보다 일반적인 경우로 확장할 수 있는 기회를 줄 수 있었음을 논하였다. 또한 피타고라스 상원수의 다양한 성질을 탐구함에 있어서 교사의 적절한 안내가 필요함을 함께 논하였다.

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References

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