고대 이집트 분수의 교육학적 의미

  • 한길준 (단국대학교 수학교육과) ;
  • 정승진 (단국대학교 대학원 수학교육과)
  • Published : 2001.12.01

Abstract

The ancient Egyptians only used fractions of the form 1/n, so any other fraction had to be represented as a sum of such unit fractions and all the unit fractions were different. This study explores some of the history of Egyptian fractions and gives you an algorithm for such representations. There's lots of investigations to do in this area of mathematics suitable for elementary school students and it is also designed as a resource for teachers.

Keywords

References

  1. 세계수학문화사 김용운;김용국
  2. 초등수학교육 내용지도법 배종수
  3. 우리 겨레 수학 이야기 안소정
  4. 수학학습-지도 원리와 방법 우정호
  5. 학교수학의 교육적 기초 우정호
  6. 수학사 이우영(공역);신항균(공역)
  7. Counting and Arithmetic--basicsm Retrieved July 11, 2001, from the World Wide Web: http://www.math.tamu.edu/~don.allen/history/egypt/node2.html Allen, G.D.
  8. A History of Mathematics Boyer, C.B.
  9. BURTON's History of Mathematics: An Introduction Burton, D.M.
  10. Mathematics in Egyptial Papyri Retrieved July 11, 2001, from the World Wide Web: http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Egyptian-papyri.html Connor, J.J.;Robertson, E.F.
  11. Egyptian Fractions Retrieved July 11, 2001, from the World Wide Web: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fraction/egyptian.html Knott, R.
  12. Mathematics Teacher v.94 A History of Mathematical Dialogue in Textbooks and Classroom Mendez, P.
  13. A Concise History of Mathematics Struik, D.J.