DE LA INVESTIGACIÓN EN MATEMÁTICA TEÓRICA A LA INVESTIGACIÓN EN MATEMÁTICA EDUCATIVA: UN VIAJE PERSONAL

Ed Dubinsky

Artículos

Vol. 3 No 1 (2000): Marzo

DE LA INVESTIGACIÓN EN MATEMÁTICA TEÓRICA A LA INVESTIGACIÓN EN MATEMÁTICA EDUCATIVA: UN VIAJE PERSONAL

Ed Dubinsky^▸^▾

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Soumis: mars 23, 2025
Publiée: 2000-03-31

Résumé

L'objectif principal de cet essai est d'exposer pourquoi et comment un mathématicien dont la spécialité est la recherche théorique en mathématiques peut faire évoluer ses recherches vers le domaine des didactique des mathématiques. Pour bien comprendre cette évolution, il faut décrire quelle était la situation avant et après ce changement, de quelle façon celui a pu se produire et à quel point j'ai pu parvenir dans ma nouvelle vie professionnelle actuelle. J'entends de cette manière explorer mes propres expériences avec l'espoir que cette introspection in-dividuelle puisse être pour certains une source d'enseignement.

Références

Asiala, M., Brown, N., DeVries, D., Dubinsky, E., Mathews, D. & Thomas, K. (1996). A Framework for Research and Development in Undergraduate Mathematics Education. Research in Collegiate Mathematics Education II CBMS Issues in Mathematics Education, 6, 1-32
Ayers, T., Davis, G., Dubinsky, E & Lewin, P. (1988). Computer Experiences in the Teaching of Composition of Functions. Journal for Research in Mathematics Education, 19(3), 246-259
Baxter, N., Dubinsky, E. & Levin, G. (1988). Learnig Discrete Mathematics with ISENTL Springer-Verlag.
Breidenbach, D., Dubinsky, E., Hawks, J. & Nichols, D. (1992). Development of the Process Conception of Function. Educational Studies in Mathematics, 23, 247-285.
Clark, J., Cordero, F., Cottrill, F., Czarnocha, B., DeVries, D., St. John, D., Tolias, G. & Vidakovic D. (1997). Constructing a schema: The case of the chain rule, Journal of Mathematical Behavior, 16(4), 345-364.
Dubinsky, E. (1987). On Teaching Mathematical Induction, I. Journal of Mathematical Behavior, 6(1), 305-317.
Dubinsky, E. (1989). On Teaching Mathematical Induction, II. Journal of Mathematical Behavior, 8, 285-304.
Dubinsky, E. (1997). On Learning Quantification, I. Journal of Computers in Mathematics and Science Teaching, 16(213), 335-362.
Dubinsky, E. (1991a). Reflective Abstraction in Advanced Mathematical Thinking. D. Tall, (Ed.), Advanced Mathematical Thinking, 95-126. Kluwer.
Dubinsky, E. (1991b). The Constructive Aspects of Reflective Abstraction in Advanced Mathematics. L. P. Steffe (Ed.), Epistemological Foundations of Mathematical Experiences, New York: Springer-Verlag.
Dubinsky, E., Elterman, F. & Gong, C. (1989). The Student's Construction of Quantification. For the Learning of Mathematic, 8(2), 44-51.
Dubinsky, E., Schwingendorf, K. & Mathews, D. (1995) Calculus, Concepts & Computers. Second Edition. McGraw-Hill.
Dubinsky, E. & Fenton, W. E. (1996). Introduction to Discrete Mathematics with ISETL. Springer.
Leron, U. (1994). Learnig Abstract Algebra with ISETL. Springer-Verlag.
Mathews, D. & Clark, J. M. Successful Students' Conceptions of Mean, Standard Derivation. and The Central Limit Theorem, Manuscrito no publicado.
Schwingendorf, K., Dubinsky, E. & Mathews, D. (1996). Applied Calculus, Concepts & Computers. Revised Preliminary Edition. McGraw-Hill.
Tall, D. O. & Vinner, S. (1981) Concept image and concept definition with particular referen-ce to limits and continuity. Educational Studies in Mathematics 12(2), 151-169.
Weller, K., Clark, J. M., Dubinsky, E., Loch, S., McDonald, M. A. & Merkovsky, R. An Examination of Student Performance Data in Recent RUMEC Studies. En revisión.

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Comment citer

Dubinsky, E. (2000). DE LA INVESTIGACIÓN EN MATEMÁTICA TEÓRICA A LA INVESTIGACIÓN EN MATEMÁTICA EDUCATIVA: UN VIAJE PERSONAL. Revista Latinoamericana De Investigación En Matemática Educativa, 3(1), 47–70. Consulté à l’adresse https://relime.org/index.php/relime/article/view/633

Ce travail est disponible sous licence Creative Commons Attribution - Pas d’Utilisation Commerciale 4.0 International.

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[1] Asiala, M., Brown, N., DeVries, D., Dubinsky, E., Mathews, D. & Thomas, K. (1996). A Framework for Research and Development in Undergraduate Mathematics Education. Research in Collegiate Mathematics Education II CBMS Issues in Mathematics Education, 6, 1-32

[2] Ayers, T., Davis, G., Dubinsky, E & Lewin, P. (1988). Computer Experiences in the Teaching of Composition of Functions. Journal for Research in Mathematics Education, 19(3), 246-259

[3] Baxter, N., Dubinsky, E. & Levin, G. (1988). Learnig Discrete Mathematics with ISENTL Springer-Verlag.

[4] Breidenbach, D., Dubinsky, E., Hawks, J. & Nichols, D. (1992). Development of the Process Conception of Function. Educational Studies in Mathematics, 23, 247-285.

[5] Clark, J., Cordero, F., Cottrill, F., Czarnocha, B., DeVries, D., St. John, D., Tolias, G. & Vidakovic D. (1997). Constructing a schema: The case of the chain rule, Journal of Mathematical Behavior, 16(4), 345-364.

[6] Dubinsky, E. (1987). On Teaching Mathematical Induction, I. Journal of Mathematical Behavior, 6(1), 305-317.

[7] Dubinsky, E. (1989). On Teaching Mathematical Induction, II. Journal of Mathematical Behavior, 8, 285-304.

[8] Dubinsky, E. (1997). On Learning Quantification, I. Journal of Computers in Mathematics and Science Teaching, 16(213), 335-362.

[9] Dubinsky, E. (1991a). Reflective Abstraction in Advanced Mathematical Thinking. D. Tall, (Ed.), Advanced Mathematical Thinking, 95-126. Kluwer.

[10] Dubinsky, E. (1991b). The Constructive Aspects of Reflective Abstraction in Advanced Mathematics. L. P. Steffe (Ed.), Epistemological Foundations of Mathematical Experiences, New York: Springer-Verlag.

[11] Dubinsky, E., Elterman, F. & Gong, C. (1989). The Student's Construction of Quantification. For the Learning of Mathematic, 8(2), 44-51.

[12] Dubinsky, E., Schwingendorf, K. & Mathews, D. (1995) Calculus, Concepts & Computers. Second Edition. McGraw-Hill.

[13] Dubinsky, E. & Fenton, W. E. (1996). Introduction to Discrete Mathematics with ISETL. Springer.

[14] Leron, U. (1994). Learnig Abstract Algebra with ISETL. Springer-Verlag.

[15] Mathews, D. & Clark, J. M. Successful Students' Conceptions of Mean, Standard Derivation. and The Central Limit Theorem, Manuscrito no publicado.

[16] Schwingendorf, K., Dubinsky, E. & Mathews, D. (1996). Applied Calculus, Concepts & Computers. Revised Preliminary Edition. McGraw-Hill.

[17] Tall, D. O. & Vinner, S. (1981) Concept image and concept definition with particular referen-ce to limits and continuity. Educational Studies in Mathematics 12(2), 151-169.

[18] Weller, K., Clark, J. M., Dubinsky, E., Loch, S., McDonald, M. A. & Merkovsky, R. An Examination of Student Performance Data in Recent RUMEC Studies. En revisión.