DOI QR코드

DOI QR Code

A Study on the Historical Development of Linear Algebra Unifying Mathematical Concept

통합적(統合的) 개념(槪念)으로서의 선형대수(線型代數)에 관한 역사(歷史) 발생적(發生的) 연구(硏究)

  • YU ChungHyun (Dept. of Math. Edu., Hannam Univ) ;
  • OH Jumi (Graduate school of Math. Edu., Hannam Univ)
  • Received : 2024.03.10
  • Accepted : 2024.04.17
  • Published : 2024.04.30

Abstract

In this article, we study the historical development of how the main concepts of linear algebra - matrices, vectors, and transformations - arise, are connected then integrated into a category. Also we study how linearity is recognized and integrated into algebraic and geometric viewpoint. Furthermore, we discuss, based on this, the role of linear algebra as a unifying concept in a school mathematics.

Keywords

References

  1. BOYER Carl B., MERZBACH Uta C., A History of Mathematics(수학의 역사 상, 하), 양영오, 조윤동 옮김, 경문사, 2002.
  2. DORIER, Jean-Luc, On the Teaching of Linear Algebra, Kluwer Academic Publishers, 2000.
  3. EVES Howard, An Introduction to the History of Mathematics, (수학사), 이우영, 신항균 옮김, 경문사, 2005.
  4. HUH Eun Sook, Study on the teaching of the concepts of linear algebra in the high school mathematics: focused on the mathematical connections, Seoul National University Theses (Master's Degree), 2005.
  5. KANG Hyun Young, A study of the mathematics education of F. Klein, The Korean Journal for History of Mathematics 24(2) (2011), 71-89.
  6. KATZ, Victor J., 수학교육에서 역사 활용하기(상), 계영희 외 12인 옮김, 교우사, 2006.
  7. KATZ, Victor J., A History of Mathematics : an introduction(2nd ed.), Addison Wesley (1998).
  8. KATZ, Victor J., Historical Ideas in Teaching Linear Algebra, In F. Swetz(Ed.), Learn from the Masters, The Mathematical Association of America, 1995, 188-206.
  9. KNOBLOCH, E., KOMATSU, H., LIU, D., Seki, founder of modern mathematics in Japan: a commemoration on his tercentenary, Springer Proceedings in Mathematics & Statistics 39, Springer, 2013.
  10. Ministry of Education (2009). Mathematics curriculum.
  11. Ministry of Education (2015). Mathematics curriculum.
  12. Ministry of Education (2022). Mathematics curriculum.
  13. PAK Hong Kyung, Two original concepts in linear algebra, The Korean Journal for History of Mathematics 21(1) (2008), 109-120.
  14. WOO Jeong Ho, MIN Se Young, A study on historico-genetic principle of teaching and learning in mathematics, The Journal of Educational Research in Mathematics XII(3) (2002), 409-424.
  15. WOO Jeong Ho, Educational Foundations of School Mathematics (1), Seoul National University Press and Culture Center, 2017.
  16. WOO Jeong Ho, Historico-genetic approach of School mathematics, Seoul National University Press and Culture Cente, 2017.