DOI QR코드

DOI QR Code

Analysis on mathematical behavior characteristics of a mathematically gifted student in independent study

독자적 연구에서 나타난 수학영재의 수학적 행동특성 분석

  • Received : 2014.07.10
  • Accepted : 2014.11.12
  • Published : 2014.11.30

Abstract

According to Krutetskii, the education of mathematically gifted students must be focused on the improvement of creative mathematical ability and the mathematically gifted students need to experience the research process like mathematician. Independent study is highly encouraged as the self-directed activity of highest level in the learning process which is similar to research process used by experts. We conducted independent study as a viable differentiation technique for gifted middle school students in the 3rd grade, which participated in mentorship program for 10 months. Based on the data through the research process, interview with a study participant and his parents, and his blog, we analyzed mathematical behavior characteristics of a study participant. This behavior characteristics are not found in all mathematically gifted students. But through this case study, we understand mathematically gifted students better and furthermore obtain the message for the selection and education of the mathematically gifted students and for the effective method of running mentorship program particularly.

Keywords

References

  1. 김지원, 송상헌 (2004). 한 수학영재아아의 수학적 사고 특성에 관한 사례연구, 수학교육학연구 4(1), 89-110. (Kim, J.W., & Song, S.H. (2004). A case study on mathematical thinking characteristic of a gifted child, The Journal of Educational Research in Mathematics 14(1), 89-110.)
  2. 송상헌 (2000). 수학영재아들을 위한 행동특성 검사지의 개발과 활용에 관한연구, 학교수학 2(2), 427-457. (Song, S.H. (2000). A study on the development of an instrument to measure the behavior characteristics of the mathematical gifted children, School mathematics 2(2), 427-457.)
  3. 신인선, 김시명 (2006). 개방형 문제 해결과정에서 수학 영재아와 수학 우수아의 행동특성 분석, 수학교육논문집 20(1), 33-59. (Shin, I.S., & Kim, S.M. (2006). An analysis on behavior characteristics between gifted students and talented students in open-end mathematical problem solving, Communications of mathematical education 20(1), 33-59.)
  4. 황동주 (2006). 수학영재를 위한 행동 특성 검사도구 개발, 한국학교수학회논문집 9(3). 405-424. (Hwang, D.J. (2006). The development of behavior characteristics scale in the mathematically giftedness of the middle school, Journal of the Korean School Mathematics 9(3), 405-424.)
  5. 류희찬, 조완영, 김인수 (2003). 고등수학적 사고, 서울:경문사. (Lew, H.C., Cho, W.Y., & Kim, I.S. (2003). Advanced mathematical thinking, Seoul: Kyoungmoon.)
  6. Kaplan, S., Madsen, S., & Gould, B.(1976). The big book of independent study, Santa Monica, CA: Goodyear
  7. Karnes, F. A. & Bean, S. M.(2009). Methods and Materials for Teaching the Gifted, Prufrock Press, Inc.
  8. Krutetskii, V. A. (1976). The psychology of mathematical abilities in school children, The Univ. of Chicago Press.
  9. Renzulli, J. S.(1977). The enrichment triad model: A guide for developing defensible programs for the gifted and talented, Mansfield Center, CT: Creative Learning Press.