Situations are often regarded as the panacea which guarantees ‘concretisation’ of abstract notions. Recent research results have led us to qualify this opinion. After analysing briefly the notion of situation, we raise various issues on the basis of the responses of children aged 11–15 to the ‘racing car problem’. We observed various limits brought about by the situation in the abstraction prócess, and also that the task involved more abstract notions (even pictorial) than expected. The conclusion singles out some principles ensuring a better use of situations and points out key problems such as the role of mental images and the importance of the ‘spoken’ language.
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Austin J. L. and Howson A. G.: 1979, ‘Language and mathematical education’, Education Studies in Mathematics 10, 160–197.
Dienes, Z., The Power of Mathematics, Hutchinson, 1964.
Fischbein E.: 1977, ‘Image and concept in learning mathematics’, Educational Studies in Mathematics 8, 153–165.
Freudenthal H., Weeding and Sowing — Preface to a Science of Mathematical Education, Reidel, Dordrecht, Holland, 1978.
Freudenthal, H., Jansen, G. M., and Sweers, W. J., Five Years IOWO, reprinted from Educational Studies in Mathematics 7, No. 3 (August, 1976).
Group Zero, Matematicas de Bachillerato, volumen 1, Roberto Guillen, Valencia, 1977.
Janvier, C., The Interpretation of Complex Cartesian Graphs Representing Situations-Studies and Teaching Experiments, Ph.D. dissertation, University of Nottingham, 1978.
Lomon Earle, L. et al.: 1975, ‘Real problem solving in USMES: Interdisciplinary education and much more’, School Science and Mathematics, January, 53–64.
Luria, A. R. and Yudovich, F. J., 1971, Speech and the Development of mental Processes in the Child, Penguin, 1971.
Paivio A., ‘Theoretical analysis of the role of imagery in learning and memory’, in The Function and Nature of Imagery, Sheehan, Academic Press, New York, 1972.
USMES Guide, Education Development Center, Newton, Mass., 1973.