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A comparative study of mathematical thinking in mathematical problem-solving abilities with reference to secondary talented students

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주제분류수학

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It is one of important and interesting topics in education of mathematics to study the process of the logical thinking and the intuitive thinking in mathematical problem-solving abilities from the viewpoint of mathematical thinking. The main object of the present paper is to investigate on this problem with reference to secondary talented students (students aged 16~17 years). In particular, we focus on the relationship between the preference of mathematical thinking and their mathematical problem-solving abilities.

Abstract

It is one of important and interesting topics in education of mathematics to study the process of the logical thinking and the intuitive thinking in mathematical problem-solving abilities from the viewpoint of mathematical thinking. The main object of the present paper is to investigate on this problem with reference to secondary talented students (students aged 16~17 years). In particular, we focus on the relationship between the preference of mathematical thinking and their mathematical problem-solving abilities.

참고문헌 (8)

  1. 강시중, "수학교육론" (1999), 교육출판사
  2. 김응태, "수학교육학 개론" (2001), 서울대출판부
  3. 박홍경, "On teaching the concept of continuous functions in calculus", 한국데이터정보과학회지, 18(4), pp.859~868 (2007), 한국데이터정보과학회
  4. 박홍경, "수학적 개념의 유형과 효과적인 개념학습- 벡터이론을 중심으로", 한국수학사학회지, 20(3), pp.105~126 (2007), 한국수학사학회
  5. V. J. Glennon, "Neuropsychology and the instrumental psychology of mathematics", The 7th Annual Conf. Research Council for Diagonostic and Prescriptive Mathematics, ~ (1980)
  6. J. A. Malone, "Measuring problem-solving ability, Problem solving in school mathematics" (1980), 1980 Yearbook of NCTM
  7. S. L. Senk, "An empirical classification model for errors in high school mathematics", Mathematics Teachers, 78, pp.448~456 (1985)
  8. D. Tall, "Intuition and rigour : the role of visualization in the calculus", Visualization in mathematics, ~ (1991)

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