Bibliography
BrinkF. J.van den, Strokenaanpak I en II (An Approach to Ratios by Bars, I, II) (A Mathematical-Didactical Internal Study), IOWO, Utrecht, 1975.
BryantP., Perception and Understanding in Young Children, Methuen & Co. Ltd., London, 1974.
Desjardins, M. and Hétu, J. C., L'activité mathématique dans l'enseignement des fractions, les Presses de l'Université du Québec, 1974.
DudwellP., Children's Perception and Their Understanding of Geometrical Ideas, in: ‘Piagetian Cognitive Development Research and Mathematical Education’, National Council of Teachers of Mathematics, U.S.A., 1971.
For an extended and thorough didactical-phenomenological analysis of ratio and proportion, the reader is referred to the last sections of: (a) FreudenthanlH., Weeding and Sowing-Preface to a Science of Mathematical Education, Reidel, Dordrecht, Holland, 1978. (b) Freudenthal, H., Lernzielfindung im Mathematikunterricht, in: ‘Zeitschrift für Pädagogik’, jahrgang 20, heft 5, pp. 719–729, 1974.
PiagetJ., Understanding Causality, (especially Ch. 12: ‘Linearity, Proportionality and Distributivity’), W. W. Norton & Company Inc., New York, 1971.
Parreren, C. F. van, Niveaus in ontwikkeling van het abstraheren, State University of Utrecht (internal), 1978.
‘Five Years IOWO-on H. Freudenthal's Retirement from the Directorship of IOWO’, Educational Studies in Mathematics 7 (1976), 3.
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Van Den Brink, J., Streefland, L. Young children (6–8)-ratio and proportion. Educ Stud Math 10, 403–420 (1979). https://doi.org/10.1007/BF00417087
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DOI: https://doi.org/10.1007/BF00417087