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수학적 귀납법의 역사에서 하강법의 역할 및 교수학적 논의

The Role of Regression in the History of Mathematical Induction and Its Didactical Implications

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참고문헌 (36)

  1. "Freudenthal의 수학화 학습-지도론 연구" (1997)
  2. "Mathematical Expeditions" (1999), Springer
  3. "Diophantus and Diophantine Equations" (1997), The Mathematical Association of America
  4. "A History of Mathematics Revised by Uta C" (1991), Inc
  5. "The History of Mathematics" (1991), Brown Publisher
  6. "The origin of Mathematical Induction"
  7. "Fermat's Method of Infinite Descent", pp.333~337 (1918)
  8. "The History of Zeno's Arguments on Motion Phases in the Development of Limits", pp.39~47 (1915)
  9. "Origin of the Name of Mathematical Induction"
  10. "The Mathematics of Great Amateurs" (1950), Oxord University Press
  11. "Euler-The Master of Us All" (1999), The Mathematical Association of America
  12. "Pascal's Arithmetical Triangle:The Story of Mathematical Idea" (2002), John Hopkins University Press
  13. "Educational Studies in Mathematics15", pp.173~179 (1984)
  14. "Fermat's Method of Infinite Descent"
  15. "Teaching Induction:Historical Perspective and Current Views" (1998), Doctoral Dissertation
  16. "Mathematics as an Educational Task" (1973), Reidel Publishing Company
  17. "A Study of Mathematical Induction University of Illinois at Urbana-Champaign Doctoral Dissertation" (1972)
  18. "A History of Mathematics" (1993), HarperCollins College Publishers
  19. "Educational Studies in Mathematics16", pp.1~26 (1985)
  20. "Mathematical Thought From Ancient to Modern Times" (1972), Oxford University Press
  21. "The Logic of Mathematical Discovery" (1976), Cambridge University Press
  22. "The Mathematical Career of Pierre de Fermat" (1994), Princeton University Press
  23. "Ways of Thought of Great Mathematicians" (1964), Inc
  24. "The Method of Infinite Descent and the Method of Mathematical Induction Philosophy of Science 11", pp.178~185 (1944)
  25. "forgotten brilliance ?" (1999)
  26. "Rabi Levi ben Gershon and the Origin of Mathematical Induction Archive for History of Exact Sciences 6", rabi(vitch), pp.237~248 (1970)
  27. "Archive for History of Exact Sciences 9", pp.1~21 (1972)
  28. "The Development of Arabic Mathematics", 1994 (1984), ~[DOI]
  29. "A Source Books in the Mathematics" (1929), McGraw-Hill Book Company Inc
  30. "A Source Books in Mathematics", pp.1200~1800 (1969), Harvard University Press
  31. "Selections Illustrating the History of Greek mathematics" (1967), William Heinemann Ltd
  32. "The University of Chicago Press" (1963)
  33. "the First Discoverer of the Principle of Mathematical Induction Bulletin of American Mathematical Society16", pp.70~73 (1909)
  34. "The Infinite in the Finite" (1995), The Oxford University Press
  35. "The Use of Mathematical Induction by Ab Kmil Shuj'ibn Aslam", pp.259~69 62 (1978)
  36. "The Role of Regression in the History of Mathematical Induction and Its Didactical ImplicationsCollege of Education Chinju National University of Education Hye-won ChangThis study begins from posing a problem 'formal introduction of mathematical induction in school mathematics' Most students may learn the mathematical induction at the level of instrumental understanding without meaningful understanding about its meaning and struct", pp.145~153 (1908), Seoul National University Sun-yong

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