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A Study on Effect of Learner Centered Mathematical Club Based on Mathematics History

수학사 기반 학습자 중심 수학동아리 효과 분석 연구

  • Received : 2015.01.06
  • Accepted : 2015.02.22
  • Published : 2015.02.28

Abstract

This study assumes alternative character of the operation of mathematical club in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. And, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Second, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed. Finally, mathematical club activity based on mathematics history appeared to be effective in improving academic achievement and mathematics exploration activity.

Keywords

References

  1. Beck S. Y., The History of Mathematics and the Mathematics Curriculum, Science Education Research 16 (1990), Science Education Center, Chinju National University of Education. 백석윤, 수학사와 수학 교육과정, 과학교육연구 16 (1990), 경남 : 진주교육대학교 과학교육연구소.
  2. C. B. Boyer, U. C. Merzbach, A History of Mathematics, John Wiley & Sons, Inc., 199
  3. S. I. Brown, M. I. Walter, The Art of Problem Posing, Lawrence Erlbaum, 1990.
  4. A. Dresden, (trans. Van der Waerden. B. L.), Science Awakening, Science Editions, 1963.
  5. T. Dreyfus, Advanced mathematical thinking processes, In D. Tall (Ed.), Advanced mathematical thinking, Dordrecht: Kluwer, 1991, 25-41.
  6. P. M. Erdniev, Han I. K., Mathematics Inquiry through analogy, Sung San, 2005. P. M. Erdniev, 한인기, 유추를 통한 수학탐구, 승산, 2005.
  7. P. Ernest, Social Construction and as a Philosophy of Mathematics, State University of New York Press, 1998.
  8. H. Eves, An Introduction to the History of Mathematics, Harcourt Brac, 1962.
  9. H. Eves, Great moments in mathematics (Before 1650), MAA, 1983.
  10. H. Freudenthal, Mathematics as an Educational Task, Netherlands: D. Reidel Publishing Co., 1973.
  11. Han Gul Society, Korean Great Dictionary, Eoe Mun Gak, 1992. 한글학회, 우리말 큰 사전, 어문각, 1992.
  12. Han I. K., History for Teacher, Kyo-Woo Sa, 2003. 한인기, 교사를 위한 수학사, 교우사, 2003.
  13. Han I. K., Moscow Early Mathematics Competitions and Talented Education, Communications of Mathematical Education 18(3) (2004), 57-71. 한인기, 초창기 모스크바 수학경시대회와 영재교육, 수학교육논문집 18(3) (2004), 57-71.
  14. T. L. Heath, A history of Greek mathematics (Vol. 1), Adamant Media Corporation, 2008.
  15. T. L. Heath, A history of Greek mathematics (Vol. 2), Adamant Media Corporation, 2008.
  16. Kim K. M., A Study on the Evaluation of Inquiry Skills in Science Learning, Journal of Research in Science Education 13(1) (1986), 1-33. 김광명, 과학학습에 있어 탐구능력의 평가방법에 관한 연구, 과학교육연구 13(1) (1986), 1-33.
  17. Kim K. M., Analysis of Elementary School Science Textbooks for Development of Scientific Thinking Ability, Doctoral thesis(unpublished), Seoul National University, 1992. 김광명, 과학적 사고력 발달을 위한 초등학교 자연교과서 분석 연구, 박사학위논문, 서울대학교, 1992.
  18. Kim S. D., Joe J. S., A Study on Development and Application of Learning Materials Homework Assignment for Students Used in the Classroom and Extra-curricular Activitives, Journal of the Korean School Mathematics 4(1) (2001), 115-124. 김승동.조재승, 클럽활동과 동아리활동을 연계한 과제학습 자료 개발 적용에 관한 연구, 한국학교수학회논문집 4(1) (2001), 115-124.
  19. Kolmogorov, F-M-S pri M-GE-U, Moskba: Znanie, 1981.
  20. V. A. Krutetskii, The psychology of mathematical abilities in schoolchildren, Chicago: University of Chicago Press, 1976.
  21. Kwon O. N., Park J. S., Kim E. J., Instructions of History of Mathematics with Mathematical Machines, Journal for History of Mathematics 26(4) (2014), 301-320. 권오남.박정숙.김은지, 수학기계를 활용한 수학사 수업, Journal for History of Mathematics 26(4) (2014), 301-320. https://doi.org/10.14477/jhm.2013.26.4.301
  22. G. Polya, Mathematics and Plausible Reasoning, Vol. I, Princeton University Press, 1973.
  23. Seo B. E., A Comparative Study on Korean, American and Russian Mathematics Curriculua for Gifted Students, Master's thesis(unpublished), Korea National University of Education, 1997. 서보억, 한국 미국 러시아의 수학영재교육과정 비교 연구, 석사학위논문, 한국교원대학교, 1997.
  24. Seo B. E., Kwon Y. I., The Analysis of the Development Process of the Law of Cosines and the Study of the Extension through the Demonstration, Korean Journal for History of Mathematics 20(3) (2007), 147-166. 서보억.권영인, 코사인 법칙의 발달과정 분석과 논증을 통한 확장에 대한 연구, 한국수학사학회지 20(3) (2007), 147-166.
  25. Seo B. E., A Study on Comprehension Level of Mathematical Basic Knowledge by 2nd Middle School Students, Journal of the Korean School Mathematics Society 12(1) (2009), 131-149. 서보억, 중학교 영재학생의 수학기초지식의 이해 정도에 대한 조사 연구, 한국학교수학회논문집 12(1) (2009), 131-149.
  26. Seo B. E., Invsestgation on Middle School Mathematics and Curriculum for Teachers, Kyo Woo Sa, 2013. 서보억, 교육과정과 중학교 교직수학의 탐구, 교우사, 2013.
  27. Shin Y. M., The History of Mathematics and the Mathematics Education, Master's thesis( unpublished), Seoul National University, 1993. 신영미, 수학사와 수학교육 : 중.고등학교 수학교육을 중심으로, 석사학위논문, 서울대학교, 1993.
  28. The Ministry of Education, Science, and Technology, 2009 reformed mathematics curriculum, Seoul: MOST. 2011. 교육과학기술부, 2009 개정교육과정, 교육인적자원부, 2011.
  29. The National Council of Teachers of Mathematics, Providing Opportunities for the Mathematically Gifted, K-12, Virginia: NCTM, 1987.
  30. The National Council of Teachers of Mathematics, Curriculum and Evaluation Standards for School Mathematics, Virginia: NCTM, 1989.
  31. The National Council of Teachers of Mathematics, Learning mathematics for a new century, Virginia: NCTM, 2000.
  32. Unesco Korea, World Gifted Education II, Bae Young sa, 1983. 유네스코한국위원회, 세계의 영재교육 II, 배영사, 1983.
  33. Yang S. H., Lee K. Y., A Study on The Application of Oriental History of Mathematics in School mathematics, The Mathematical Education 49(1) (2010), 15-37. 양성호.이경언, 수학 교수-학습에서의 동양 수학사 활용에 관한 연구, 수학교육 49(1) (2010), 15-37.
  34. Yeon S. H., The Development and Application of STEAM Teaching-Learning Program for High School Science Club, Master's thesis(unpublished), Korea National University of Education, 2014. 윤성희, 고등학교 과학 동아리를 위한 융합인재교육 STEAM 교수. 학습 프로그램 개발 및 적용, 석사학위논문, 한국교원대학교, 2014.
  35. You K. S., Nam Y. M., The Effect of Math and Learning Attitude in a Math History Applied Lesson, East Asian Mathematical Journal 28(4) (2012), 383-401. 유금순.남영만, 수학사를 활용한 수학수업이 수학과 학습태도에 미치는 영향, 동아시아저널 28(4) (2012), 383-401. https://doi.org/10.7858/eamj.2012.030