Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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The heuristic function of mathematical signs in learning of mathematical concepts

수학 개념의 습득에 있어 기호의 발견법적 기능

  • Cheong, Kye-Seop (Department of french language and literature Duksung Women's University)
  • 정계섭 (덕성여자대학교 불어불문학과)
  • Published : 2009.08.31
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Abstract

Mathematical thinking can be symbolized by the external signs, and these signs determine in reverse the form of mathematical thinking. Each symbol - a symbol in algebra, a symbol in analysis, and a diagram which verifies syllogism - reflects the diverse characteristic of cogitation in mathematics and perfirms a heuristic function.

수학적 사고는 외적 기호에 의해 기호화되고, 역으로 이 기호는 사고의 형태를 결정한다. 기호는 - 대수학에서의 기호, 해석학에서의 기호 그리고 삼단논법을 검증해주는 다이어그램 - 수학연구에서 수행하는 사고 작용의 다양성을 반영하고 각각 발견법적 기능을 수행한다.

Keywords

References

  1. Berkeley A., The Analyst or a Discourse addressed to an Infidel Mathematician, Dublin, London, 1734.
  2. Cajori F., A history of Mathematical Notations, vol.2, Gabay, 1966(1928-29).
  3. Carnot L. Reflexions sur la metaphysique du calcul infinitesimal, Blanchard, 1970.
  4. Condillac E.B., de La langue des calculs, Presse Universitaire de Lille, 1981(1798).
  5. Duval, R., Seiosis et pense humaine, Bern:Lang, 1995.
  6. Duval, R., Quelle Semiotique pour l'analyse de l'activite et des productions mathematiques?, Relime, Numero special, 2006, PP. 45-81.
  7. Edwards A.W.F., The story of Venn Diagrams, Johns Hopkins University press, 2004.
  8. IREM, La demonstration mathematique dans l'histoire, 1989.
  9. Morris Charles, Writings on the general theory of signs, Mouton, 1971.
  10. Peraya, D., et Meunier, J.P., Vers une Semiotique cognitive, Cognito, 14, 199, p.1-16.
  11. Radford, L., Signs and meanings in students' emergent algebraic thinking: A semiotic analysis, Educational studies in Mathematics, 42(3),pp.237-268, 2000. https://doi.org/10.1023/A:1017530828058
  12. Radford, L. & Puig L., Syntex and meaning as sensuous, viguak, historical forms of algebraic thinking, Educational studies in mathematics 66, 2007, p.145-164. https://doi.org/10.1007/s10649-006-9024-6