Abstract
The possible meanings of “epistemology,” “cognitive development” and “learning cultures” are discussed within the framework of an experiment on the teaching of mathematics and science in a transdisciplinary context at compulsory secondary school level.
This work has been supported by the Centre de recherches psychopédagogiques (CRPP), Geneve, and by the Fonds national de 1arecherche scientifique (FNRS), Beme, under the contractNo. 11-30259.90. It has been madepossib1e by the collaboration of Claude Béguin, Olivier de Marcellus, Martia1 Denzler, Jean-Luc and Myrto Gurtner, Carlos León, Rafae1 Núñez Errázuriz and Anastasia Tryphon.
On 1eave of absence from the Institute ofTheoretical Physics, University of Nap1es.
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References
Ackermann-Valladao, E. (1987) Que deviennent les idées à propos d’un phénomène une fois retraduites à travers différents médias? Le rôle du dessin, du récit et du geste dans la construction d’une connaissance, Archives de Psychologie, 55, 195–218
Apostel, L. (1961) Towards the formal study of models in the non-formal sciences, in H. Freudenthal (ed.) Concept and Rote of the Model in Mathematics and Natural and Social Sciences, 9, Dordrecht: Reidel
Aristotle (a). De Memoria, 450a, G.R.T. Ross (trans,)
Aristotle (b). Physics, 184a, P.H. Wicksteed (trans.)
Burner, J.S. (1966) On cognitive growth, in J.S. Bruner, R.R. Olver and RM. Greenfield (eds.) Studies in Cognitive Growth, 320, New York: Wiley
Béguin, C., de Marcellus, O., Tryphon, A. and Vitale, B. (1993) Expérimentation et programmation en LOGOwriter pour la construction de l’espace sonore, in P. Georgiadis
G. Gyftodimos, Y. Kotsanis and C. Kynigos (eds.) LOGO-like Learning Environments; Reflexions and Prospects, 77–84, Athens: Doukas School
Dionnet, S., Martí, E., Vitale, B., Wells, A. (1985) Représentation et contrôie global-local du mouvement chez 1’enfant dans la programmation LOGO, Revue Française de Pedagogie, 72, 13–23
diSessa, A.A. (1982) Unlearning Aristotelian physics: A study of knowledge-based learning, Cognitive Science, 6, 37–75
diSessa, A.A., Hammer, D., Sherin, B. and Kolpakowski, T. (1991) Inventing graphing: Meta-representational expertise in children, J. of Mathematical Behavior, 10, 117–160
Fontenelle. (1687) Histoire des Oracles, Paris
Freudenthal, H. (ed.) (1961) Concept and Role of the Model in Mathematics and Natural and Social Sciences, Dordrecht: Reidel
Gurtner, J.-L. and Vitale, B. (1991) Why modeling? Pupils interpretation of the activity of modeling in mathematical education, Proceedings of the 15th International Conference on Psychology in Mathematical Education, Assisi, II, 101–108
Gurtner, J.-L., León, C., Núñez Errázuriz, R. and Vitale, B. (1993a) The representation, understanding and mastering of experience: Modelling and programming in a school context, in J. de Lange, C. Keitel, J. Huntley and M. Niss (eds.) Innovation in Maths Education by Modelling and Applications, 63–68, New York: Horwood
Gurtner, J.-L. and Vitale, B. (1993b) The representation, the understanding and the modeling of experience in a transdisciplinary context, A progress report for the OECD-CERI maths/science/technology project, Geneva: CRPP
Gurtner, J.-L., Gurtner, M., Núñez Errázuriz, R. and Vitale, B. (1993c) From school mathematics to applied mathematics: Learning to build models with a word problem in mind, in J. Rossi Becker and B.J. Pence (eds.) Psychology of Mathematics Education, Proceedings of the PME-North America Chapter Conference, Asilomar, I, 218–223
Gurtner, J.-L., León, C., Núñez Errázuriz, R. and Vitale, B. (1993d) Representation and modelisation of change over time by 12—13 year old children in a school context, in J. Montangero et al. (eds.) Conceptions of Change Over Time, Cahiers de la Fondation Archives J. Piaget, 13, 279–290
Janvier, C. (1987a) Representation and understanding: The notion of function as an example, in C. Janvier (ed,), Problems of Representation in the Teaching and Learning of Mathematics, 67–71, Hillsdale, NJ: Erlbaum
Janvier, C. (1987b) Conceptions and representations: The circle as an example, in C. Janvier (ed.) Problems of Representation in the Teaching and Learning of Mathematics, 147–158, Hillsdale, NJ: Erlbaum
Larkin, J.H. and Simon, H.A. (1987) Why a diagram is (sometimes) worth ten thousand words, Cognitive Science, 11, 65–99
Larochelle, M. and Désautels, J. (1991) ‘Of course, it’s just obvious’: Adolescents’ ideas of scientific knowledge, International Journal of Scientific Education, 13, 373–389
Minsky, M. (1981) Music, Mind, and Meaning, A.I. Memo 616 (Note 10), Cambridge, MA: Artificial Intelligence Laboratory
Montangero, J., Cornu Wells, A., Tryphon, A. and Vonèche, J. (eds.) (1993) Conceptions of Change Over Time, Cahiers de la Fondation Archives J. Piaget, No. 13
Pylyshyn, Z. (1984) The explanatory role of representation, in Computation and Cognition: Toward a Foundation for Cognitive Science, Cambridge, MA: MIT Press
Tierney, C.C. and Nemirovsky, R. (1992a) Young Children’s Spontaneous Representations of Changes in Population and Speed, Cambridge, MA: TERC
Tierney, C.C., Weinberg, A.S. and Nemirovsky, R. (1992b) Telling Stories about Plant Growth; Forth Grade Students Interpret Graphs, Cambridge, MA: TERC
Vitale, B. (1988) Psycho-cognitive aspects of dynamic model-building in LOGO: A simple population evolution and predator/prey program, J. of Educational Computing Research, 4, 227–252
Vitale, B. (1989) The exploration of the space of informatics and the realm of open mathematics, in W. Blum, M. Niss and I. Huntley (eds.) Modelling, Applications and Applied Problem Solving: Teaching Mathematics in a Real Context, 109–115, Chichester: Horwood
Vitale, B. (1990-1994) L’intégration de l’informatique à la pratique pédagogique; Vol. 1: Considérations Générales pour une Approche Trans-disciplinaire; Vol. 2: Les Projets: Cahiers 1 (jeux). 2 (arbres), 3 (croissance et changement), 4 (musique), 5 (les bases de la pensée écologique), 6 (algorithmes aléatoires), 7 (algorithmes déterministes), Genève: CRPP-DIP
Vitale, B. (1992) Processes: A dynamical integration of informatics into mathematical education, in C. Hoyles and R. Noss (eds.) Learning Mathematics and LOGO, 279–318, Cambridge, MA: MIT Press
von Glasersfeld, E. (1987) Preliminaries to any theory of representation, in C. Janvier (ed.) Problems of Representation in the Teaching and Learning of Mathematics, 215–225, Hillsdale, NJ: Erlbaum
von Glasersfeld, E. (1991) Abstraction, re-presentation, and reflexion: An interpretation of experience and Piaget’s approach, in L.P. Steffe (ed.) Epistemological Foundations of Mathematical Experience, 45–67, New York: Springer
Weizenbaum, J. (1984) Computer Power and Human Reason, 108, Harm onds worth: Penguin
Wertz, H. (1981) Some ideas on the education use of computers. Proceedings of the Annual Conference of the ACM, 102
Wittgenstein, L., Remarks on the Foundations of Mathematics, II–5, G. Anscombe (trans.)
Wold, H. (1966) Avant-propos, in H. Wold (ed.) La Technique des Modeles dans les Sciences Humaines, IX, Monaco; Sciences Humaines
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Vitale, B. (1995). From Local to Global: Programming and the Unfolding of Local Models in the Exploratory Learning of Mathematics and Science. In: diSessa, A.A., Hoyles, C., Noss, R., Edwards, L.D. (eds) Computers and Exploratory Learning. NATO ASI Series, vol 146. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57799-4_4
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