Volume 6 · Number 2 · Pages 239–247

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Ernst von Glasersfeld’s Contribution and Legacy to a Didactique des Mathématiques Research Community

Nadine Bednarz & Jérôme Proulx

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Abstract

Context: During the 1980s, Ernst von Glasersfeld’s reflections nourished various studies conducted by a community of mathematics education researchers at CIRADE, Quebec, Canada. Problem: What are his influence on and contributions to the center’s rich climate of development? We discuss the fecundity of von Glasersfeld’s ideas for the CIRADE researchers’ community, specifically in didactique des mathématiques. Furthermore, we take a prospective view and address some challenges that new, post-CIRADE mathematics education researchers are confronted with that are related to interpretations of and reactions to constructivism by the surrounding community. Results: Von Glasersfeld’s contribution still continues today, with a new generation of researchers in mathematics education that have inherited views and ideas related to constructivism. For the post-CIRADE research community, the concepts and epistemology that von Glasersfeld put forward still need to be developed further, in particular concepts such as subjectivity, viability, the circular interpretative effect, representations, the nature of knowing, errors, and reality. Implications: Radical constructivism’s offspring resides within the concepts and epistemology put forth, and that continue to be put forth, through a large number of new and different generations of theories, thereby perpetuating von Glasersfeld’s legacy.

Key words: radical constructivism, mathematics education, viability, reification, representation

Citation

Bednarz N. & Proulx J. (2011) Ernst von Glasersfeld’s Contribution and Legacy to a Didactique des Mathématiques Research Community. Constructivist Foundations 6(2): 239–247. Available at http://www.univie.ac.at/constructivism/journal/6/2/239.bednarz

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References

Bachelard G. (1938) La formation de l’esprit scientifique. Vrin, Paris. << Google Scholar

Battista M. T. (1999) The mathematical miseducation of America’s youth. Phi Delta Kappan 80(6): 424–433. << Google Scholar

Bélanger M. (1990–1991) Les erreurs en arithmétique: Un siècle de présomption américaine. Petit x 26: 49–71. << Google Scholar

Bednarz N. & Dufour-Janvier B. (1984) La numération : les difficultés suscitées par son apprentissage. Grand N 33: 5–31. << Google Scholar

Bednarz N. & Garnier C. (eds.) (1989) Construction des savoirs: Obstacles et conflits. Agence d’Arc, Montreal. << Google Scholar

Bednarz N. (1991) Interactions sociales et construction d’un système d’écriture des nombres en classe primaire. In: Garnier C., Bednarz N. & Ulanovskaya I. (eds.) Après Vygotski et Piaget. Perspectives sociale et constructiviste. Écoles russe et occidentale. Éditions De Boeck, Brussels: 51–67. << Google Scholar

Bednarz N. (2001) A problem-solving approach to algebra: Accounting for reasonings and notations developed by students. In: Chick H., Stacey K. & Vincent J. (eds.) Proceedings of ICMI Study-12. The future of the Teaching and Learning of Algebra. Volume 1. University of Melbourne: 69–78. << Google Scholar

Bednarz N. (2004) Collaborative research and professional development of teachers in mathematics. In: Niss M. & Emberg E. (eds.) Proceedings of the international conference on mathematics education. CD-ROM. ICME-10, Copenhagen. << Google Scholar

Bednarz N., Dufour-Janvier B., Poirier L. & Bacon L. (1993) Socio-constructivist viewpoint on the use of symbolism in mathematics education. The Alberta Journal of Educational Research 49(1): 41–58. << Google Scholar

Clements D. H. (1997) (Mis?)constructing constructivism. Teaching Children Mathematics 4: 198–200. << Google Scholar

Desgagnés S., Bednarz N., Couture C., Poirier L. & Lebuis P. (2001) L’approche collaborative de recherche en éducation: Un rapport nouveau à établir entre recherche et formation. Revue des sciences de l’éducation 27(1): 33–64. << Google Scholar

Fischbein E. (1990) Book review. Educational Studies in Mathematics 21(5): 479–486. << Google Scholar

Glasersfeld E. von (1987) Learning as a constructive activity. In: Janvier C. (ed.) Problems of representation in the teaching and learning of mathematics. Lawrence Erlbaum, Hillsdale NJ: 3–17. Originally published in 1983. Available at http://www.vonglasersfeld.com/083

Glasersfeld E. von (1987) Preliminaries to any theory of representation. In: Janvier C. (ed.) Problems of representation in the teaching and learning of mathematics. Lawrence Erlbaum, Hillsdale NJ: 215–225. Available at http://www.vonglasersfeld.com/105

Glasersfeld E. von (1989) Commentaire subjectif par un observateur. In: Bednarz N. & Garnier C. (eds.), Construction des saviors: Obstacles et conflits. Agence d’Arc, Montreal: 367–371. << Google Scholar

Glasersfeld E. von (1994) Pourquoi le constructivisme doit-il être radical? Revue des sciences de l’éducation 20(1): 21–27. Available at http://www.vonglasersfeld.com/165. English translation: Glasersfeld E. von (1998) Why constructivism must be radical? In: Larochelle M., Bednarz N. & Garrison J. (eds.) Constructivism in educalion. Cambridge University Press: Cambridge UK: 23–28.

Janvier C. (1978) The interpretation of complex Cartesian graphs representing situations: Studies and teaching experiment. Ph.D dissertation. Shell Centre for Mathematical Education, Nottingham. << Google Scholar

Janvier C. (1998) Constructivism and its consequences for training teachers. In: Steffe L. P., Nesher P., Cobb P., Goldin G. A. & Greer B. (eds.) Theories of mathematical learning. Lawrence Erlbaum, Mahwah NJ: 449–463. << Google Scholar

Janvier C. (ed.) (1987) Problems of representation in the teaching and learning of mathematics. Lawrence Erlbaum, Hillsdale NJ. << Google Scholar

Janvier C., Baril M. & Mary C. (1998) Contextualized reasoning of electrical technicians. Les Cahiers du CIRADE 1: 155–169. << Google Scholar

Janvier C., Charbonneau L. & René de Cotret S. (1989) Obstacles épistémologiques à la notion de variable: Perspectives historiques. In: Bednarz N. & Garnier C. (eds.) Construction des savoirs: Obstacles et conflits. Agence d’Arc, Montreal: 64–75. << Google Scholar

Jonnaert P. & Masciotra D. (2004) Constructivisme. Choix contemporains. Hommage à Ernst Von Glasersfeld. Presses de l’Université du Québec, Montreal. << Google Scholar

Larochelle M. & Bednarz N. (1998) Constructivism and education: Beyond the epistemological correctness. In: Larochelle M., Bednarz N. & Garrison J. (eds.) Constructivism and Education. Cambridge University Press, Cambridge: 3–20. << Google Scholar

Larochelle M. & Desautels J. (1991) “Of course, it’s just obvious!” Adolescents’ ideas of scientific knowledge. International Journal of Science Education 14: 373–89. << Google Scholar

Larochelle M., Bednarz N. & Garrison J. (eds.) (1998) Constructivism and Education. Cambridge University Press. << Google Scholar

Lemoyne G. & Lessard G. (2003) Les rencontres singulières entre les élèves présentant des difficultés d’apprentissage en mathématiques et leurs enseignants. Éducation et francophonie 31(2) Available at http://www.acelf.ca/c/revue/index.php

Maturana H. R. (1988) Reality: The quest for objectivity or the quest for a compelling argument. The Irish Journal of Psychology 9(1): 25–82. << Google Scholar

Pallascio R., Lafortune L. & Daniel M. F. (2000) Une approche philosophique pour l’apprentissage des mathématiques. Apprentissage et socialisation 20(2): 25–46. << Google Scholar

Pépin Y. (1994) Savoirs pratiques et savoirs scolaires: Une representation constructiviste de l’éducation. Revue des sciences de l’éducation 20(1): 63–85. << Google Scholar

Proulx J. (2010) Is constructivism victim of its success in mathematics education. For the Learning of Mathematics 30(3): 24–25. << Google Scholar

Salin M. H. & Brousseau G. (1980) Qu’est-ce qui est caché dans la boîte? VHS Tape, black and white, 44 mins. IREM, Bordeaux France. << Google Scholar

Traoré, K. & Bednarz N. (2009) Mathématiques de la vie quotidienne au Burkina Faso: Une analyse de la pratique sociale de comptage et de vente de mangues. Educational Studies in Mathematics 72(3): 359–378. << Google Scholar

Traoré, K. & Bednarz N. (2010) Une étude ethnomathématique au Burkina Faso: L’arithmétique au quotidien. Canadian Journal of Science, Mathematics and Technology Education 10(4): 1–14. << Google Scholar

Varela F. J. (1984) The creative circle: Sketches on the natural history of circularity. In: Watzlawick P. (ed.) The invented reality: How do we know what we believe we know? Contributions to constructivism. Norton, New York: 309–323. << Google Scholar