Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A STUDY ON THE TELEOLOGY OF MATHEMATICS EDUCATION IN THE LIGHT OF KANT'S EPISTEMOLOGY

  • CHUNGHYUN YU (Department of Mathematics Education, Hannam University)
  • Received : 2023.01.13
  • Accepted : 2023.03.23
  • Published : 2023.03.30
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Abstract

As for the practical purpose of mathematics education, the extrinsic purpose is emphasized. As an alternative to this, a discussion on mathematics education as a character education is urgently requested. It can be said that the main purpose of learning mathematics is to have a form of life that values the form and structure of mathematics. The epistemological basis of such an idea can be seen as based on Kant's philosophy. Kant's epistemology can provide one answer to the question of the intrinsic purpose of mathematics education.

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References

  1. Carl J. Posy, Kants philosophy of mathematics: modern essays, Kluwer Academic Publishers, edited Dordrecht, Boston, 1992. 
  2. Chun-ho Shin, Kant's philosophy as an educational theory; commentary on the critique of judgment, Seoul National University Doctoral Dissertation, 2005. 
  3. Chung-hyeon Yu, Kant's transcendental philosophy and mathematics education, Seoul National University Doctoral Dissertation, 2008. 
  4. Dae-hee Han, The meaning of mathematics education in Froebel's thought of human education, Research on Mathematics Education 10 (2000), 100-111. 
  5. E. Carson, Kant on intuition in geometry, Canadian Journal of Philosophy 27 (1997), 489-512.  https://doi.org/10.1080/00455091.1997.10717483
  6. E. Carson and R. Huber, Intuition and the axiomatic method, Springer, New York, 2006. 
  7. F. Copleston, History of Philosophy, Vol 6, Newman Press, 1961. 
  8. I. Kant, Critique of pure reason, translated by P. Guyer and A. Wood, The Cambridge Edition of the works of Immanuel Kant, Cambridge, 1998. 
  9. I. Kant, Critique of pure reason, translated by J.M.D. Meiklejohn, 2009. eBooks@Adelaide. http://ebooks.adelaide.edu.au/k/kant/immanuel/k16p/ 
  10. Ja-gyeong Han, Kant and Transcendental Philosophy: What is Human?, Seogwangsa, Seoul, 1992. 
  11. Jae-hee Choi, Kant's Critique of Pure Reason, Parkyoungsa, Seoul, 1983. 
  12. Jae-Hoon Lim, A Study on Plato's Philosophy of Mathematics Education, Seoul National University Doctoral Dissertation, 1998. 
  13. Jae-hoon Lim, Kyung-hwa Lee, Dae-hee Han, Inherent Purpose of Mathematics Education, Proceedings of the 2003 Summer Math Education Research Conference 1 (2003), 225-242. 
  14. Jae-moon Park, Bruner's Structure of Knowledge in the Light of Structuralist Epistemology, Seoul National University Doctoral Dissertation, 1981 
  15. J. Dewey, J.A. Mclellan, The Psychology of Number and its Application to Methods of Teaching Arithmetic, D. Appleton and company, New York, 1895. 
  16. J. Piaget. Psychology and epistemology: towards a theory of knowledge, (A. Denoel, Rosin, Trans.). Penguin Books, New York, 1977. 
  17. Moon-gyo Lim, A Study on the Goals of Elementary School Mathematics in Korea and Japan: Focusing on the Revised Curriculum and Commentary at the End of the 20th Century, Journal of the Korean Society for Elementary Mathematics Education 9 (2005), 111-135. 
  18. Oh-Nam Kwon, Ji-Hyun Park, Jeong-Suk Park, Case of Mathematics Class Model for Creative Character Education, Education of Mathematics 50 (2011), 403-428.  https://doi.org/10.7468/mathedu.2011.50.4.403
  19. S.R. Campbell, Constructivism and the limits of reason: revisiting the Kantian problematic, Studies in Philosophy and Education 21 (2002), 421-445.  https://doi.org/10.1023/A:1020844323677
  20. Seongmo Jang, Curriculum Education and Cultivation of Mind, The Journal of Mathematics Education 1 (2004), 1-13. 
  21. S.E. Stumpf, A History of Philophy, McGraw-Hill. Inc, New York, 1975. 
  22. Tae-pyeong Im , Kant's Philosophy of Education, Academic History, Seoul, 1983. 
  23. Yang-ja Kim, Comparative Study on the Moral Theory of Kant and Dewey, Ewha Womans University Graduate School Master's Thesis, 1990. 
  24. Wi-seong Kim, Kant's a priori deduction and Popper's falsifiability, Kyungpook National University graduate school doctoral dissertation, 1983. 
  25. Young-bae Park, A Study on the Constructivist Development of Mathematics Teaching-Learning, Seoul National University Graduate School Doctoral Dissertation, 1996.