Plato, Pascal, and the dynamics of personal knowledge

Otte M, Campos TMM, Abido AS (2013)
Educational Studies In Mathematics 82(3): 397-415.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Otte, MichaelUniBi; Campos, Tania M. M.; Abido, Alexandre S.
Abstract / Bemerkung
Educational practices are to be based on proven scientific knowledge, not least because the function science has to perform in human culture consists of unifying practical skills and general beliefs, the episteme and the techne (Amsterdamski, 1975, pp. 43-44). Now, modern societies first of all presuppose regular and standardized ways of organizing both our concepts and our institutions. The explanatory schemata resulting from this standardization tend to destroy individualism and enchantment. But mathematics education is in fact the only place in which to treat the human subject's relationship with mathematics. And that is what mathematics education is all about: make the human subject grow intellectually and as a person by means of mathematics. At first sight, mathematics, in its formal guise, seems the opposite of philosophy, because philosophy constructs concepts (meanings), whereas mathematics deals with extensions of concepts (sets). We shall, however, turn this problem into an instrument, using the complementarity of intensions and extensions of theoretical terms as our main device for discussing the relationship between philosophy and mathematics education. The complementarity of the "how" and the "what" of our representations outlines, in fact, the terrain on which epistemology and education are to meet.
Stichworte
Peirce; Pascal; Plato; Philosophy in mathematics education; Complementarity
Erscheinungsjahr
2013
Zeitschriftentitel
Educational Studies In Mathematics
Band
82
Ausgabe
3
Seite(n)
397-415
ISSN
0013-1954
Page URI
https://pub.uni-bielefeld.de/record/2560076

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Otte M, Campos TMM, Abido AS. Plato, Pascal, and the dynamics of personal knowledge. Educational Studies In Mathematics. 2013;82(3):397-415.
Otte, M., Campos, T. M. M., & Abido, A. S. (2013). Plato, Pascal, and the dynamics of personal knowledge. Educational Studies In Mathematics, 82(3), 397-415. doi:10.1007/s10649-012-9435-5
Otte, M., Campos, T. M. M., and Abido, A. S. (2013). Plato, Pascal, and the dynamics of personal knowledge. Educational Studies In Mathematics 82, 397-415.
Otte, M., Campos, T.M.M., & Abido, A.S., 2013. Plato, Pascal, and the dynamics of personal knowledge. Educational Studies In Mathematics, 82(3), p 397-415.
M. Otte, T.M.M. Campos, and A.S. Abido, “Plato, Pascal, and the dynamics of personal knowledge”, Educational Studies In Mathematics, vol. 82, 2013, pp. 397-415.
Otte, M., Campos, T.M.M., Abido, A.S.: Plato, Pascal, and the dynamics of personal knowledge. Educational Studies In Mathematics. 82, 397-415 (2013).
Otte, Michael, Campos, Tania M. M., and Abido, Alexandre S. “Plato, Pascal, and the dynamics of personal knowledge”. Educational Studies In Mathematics 82.3 (2013): 397-415.

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