ON THE ANCESTRY OF Z. P. DIENES'S THEORY OF MATHEMATICS EDUCATION
DOI:
10.47976/RBHM2003v3n679-81Keywords:
Experimental Study of Mathematics LearningAbstract
Z. P. Dienes, um educador matemático influente nos meados do século passado, desenvolveu uma importante teoria de educação matemática. Não obstante, não explicitou as pressuposições filosóficas da sua teoria. O presente artigo mostra que a teoria da educação matemática de Dienes se assenta sobre uma compreensão intuicionista do que seja a matemática e isto, por sua vez, mostra que o intuicionismo teve uma grande influência no desenvolvimento do construtivismo.
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References
1. Bart, W. M. "Mathematics Education: The Views of Zoltan Dienes". School Review, May, 1970.
2. Beeson, M. J. Foundations of Constructive Mathematics. Berlin: Springer-Verlag, 1985.
3. Brouwer, L. E. J. Collected Works. A. Heyting (Ed.). Amsterdam: North Holland, 1975.
4. Dienes, Z. P. Memoirs of a Maverick Mathematician. London: Minerva, 1998.
5. _____. Relations and Functions. London: Hodder and Stoughton, 1976.
6. _____. "Les Six Etapes de l'Apprentissage des Structures". Educational Studies in Mathematics, 3, 1971a.
7. _____. "An Example of the Passage from the Concrete to the Manipulation of Formal Systems". Educational Studies in Mathematics, 3, 1971b. (This is a somewhat abbreviated version of Dienes, 1971a.)
8. _____. "Insight into Arithmetical Processes." School Review, 72-2, 1964a.
9. _____. The Power of Mathematics. London: Hutchinson Educational, 1964b.
10. _____. An Experimental Study in Mathematics-Learning. London: Hutchinson Educational, 1963.
11. _____. "On Abstraction and Generalization". Harvard Educational Review, 3-3, 1961.
2. Beeson, M. J. Foundations of Constructive Mathematics. Berlin: Springer-Verlag, 1985.
3. Brouwer, L. E. J. Collected Works. A. Heyting (Ed.). Amsterdam: North Holland, 1975.
4. Dienes, Z. P. Memoirs of a Maverick Mathematician. London: Minerva, 1998.
5. _____. Relations and Functions. London: Hodder and Stoughton, 1976.
6. _____. "Les Six Etapes de l'Apprentissage des Structures". Educational Studies in Mathematics, 3, 1971a.
7. _____. "An Example of the Passage from the Concrete to the Manipulation of Formal Systems". Educational Studies in Mathematics, 3, 1971b. (This is a somewhat abbreviated version of Dienes, 1971a.)
8. _____. "Insight into Arithmetical Processes." School Review, 72-2, 1964a.
9. _____. The Power of Mathematics. London: Hutchinson Educational, 1964b.
10. _____. An Experimental Study in Mathematics-Learning. London: Hutchinson Educational, 1963.
11. _____. "On Abstraction and Generalization". Harvard Educational Review, 3-3, 1961.
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Published
2020-11-04
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How to Cite
FOSSA, PH. D., John A. ON THE ANCESTRY OF Z. P. DIENES’S THEORY OF MATHEMATICS EDUCATION. Brazilian Journal on the History of Mathematics, São Paulo, vol. 3, no. 6, p. 79–81, 2020. DOI: 10.47976/RBHM2003v3n679-81. Disponível em: https://rbhm.org.br/index.php/RBHM/article/view/249. Acesso em: 21 nov. 2024.
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