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독자적 연구에서 나타난 수학영재의 수학적 행동특성 분석

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

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According to Krutetskii, the education of mathematically gifted students must be focused on theimprovement of creative mathematical ability and the mathematically gifted students need to experience theresearch process like mathematician. Independent study is highly encouraged as the self-directed activity ofhighest 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 inthe 3rd grade, which participated in mentorship program for 10 months. Based on the data through theresearch process, interview with a study participant and his parents, and his blog, we analyzed mathematicalbehavior characteristics of a study participant. This behavior characteristics are not found in all mathematically gifted students. But through this casestudy, we understand mathematically gifted students better and furthermore obtain the message for theselection and education of the mathematically gifted students and for the effective method of runningmentorship program particularly.

Abstract

According to Krutetskii, the education of mathematically gifted students must be focused on theimprovement of creative mathematical ability and the mathematically gifted students need to experience theresearch process like mathematician. Independent study is highly encouraged as the self-directed activity ofhighest 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 inthe 3rd grade, which participated in mentorship program for 10 months. Based on the data through theresearch process, interview with a study participant and his parents, and his blog, we analyzed mathematicalbehavior characteristics of a study participant. This behavior characteristics are not found in all mathematically gifted students. But through this casestudy, we understand mathematically gifted students better and furthermore obtain the message for theselection and education of the mathematically gifted students and for the effective method of runningmentorship program particularly.

참고문헌 (9)

  1. 김지원, "한 수학영재아의 수학적 사고 특성에 관한 사례연구", 수학교육학연구, 14(1), pp.89~110 (2004), 대한수학교육학회
  2. 송상헌, "수학영재아들을 위한 행동특성 검사지의개발과 활용에 관한연구", 학교수학, 2(2), pp.427~457 (2000)
  3. 신인선, "개방형 문제 해결과정에서 수학영재아와 수학 우수아의 행동특성 분석", 수학교육논문집, 20(1), pp.33~59 (2006)
  4. 황동주, "수학 영재를 위한 행동 특성 검사도구 개발", 한국학교수학회논문집, 9(3), pp.405~424 (2006), 한국학교수학회
  5. 김인수, "고등수학적 사고" (2003), 경문사
  6. Kaplan, S., "The big book of independent study" (1976), Goodyear
  7. Karnes, F. A., "Methods and Materials for Teaching the Gifted" (2009), Prufrock Press, Inc
  8. Krutetskii, V. A., "The psychology of mathematical abilities in school children" (1976), The Univ. of Chicago Press
  9. Renzulli, J. S., "The enrichment triad model : A guide for developing defensible programs for the gifted and talented, Mansfield Center" (1977), Creative Learning Press

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