Abstract
We begin this chapter with a short discussion about the heart of mathematical activity, i.e., about what Wiskobas considers to be the essence of mathematical activity in primary school mathematics. The actual process of deciding on that essential activity is not discussed here.1 Therefore when speaking of “the” mathematical activity in this study, we shall mean that activity in mathematics education which is in accordance with Wiskobas’ ideals.
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References
Polya, E.: Mathematics and Plausible Reasoning, Vol. I: Induction and Analogy in Mathematics, Princeton 1967; Vol. II: Patterns of Plausible Inference, Princeton 1968.
Polya, E.: Mathematics Discovery, Vol. I, New York 1962; Mathematics Discovery, Vol. II, New York 1965.
Melis, J. and Lorme-Bakker, H. de: `Kleuters en wiskunde’, in Wiskobas Bulletin 2 (1973), p. 648.
Goffree, F. and Jansen H. (eds.): 20 gevallen van stagebegeleiding: internal IOWO publication, Utrecht 1977.
O’Brien, T. C.: `Some notes on multiplication of whole numbers’, Educational Studies in Mathematics 3 (1970), 63–68.
Jong, R. de (ed.): De abacus. An important aid for mathematics instruction in the primary school, IOWO curriculum development publication 6, Utrecht, 1977, pp. 96–112.
Sawyer, W. W.: Wegwijs in de wiskunde, Utrecht 1962, pp. 11–12.
Kirsch, A.: Ein-eindeutige Zuordnungen im 5. Schuljahr: Begründung des Zahlbegriffs oder Forderung der Kombinationsfähigkeit?’, Die Schulwarte 8 (1974), 29–36.
Goffree, F.: Kijken, doen, denken en zien. Analyse van wiskundig-didactisch werk van studenten P. A., internal IOWO publication 1976.
Goffree, F.: Teilen. Analyse van wiskundigdidactisch werk van studenten P. A., internal IOWO publication, Utrecht 1977.
Goffree, F.: `Johan, A teacher training freshman studying mathematics and didactics’, Educational Studies in Mathematics 8 (1977), 117–153.
Swenson, E. J.: Making primary arithmetic meaningful to children, Washington 1961.
Thom, R.: `Modern mathematics: Does it exist?’, in Howson, A. G. (ed.), Developments in mathematical education, Cambridge 1973, pp. 194–213.
Jong, R. de (ed.): Bussen en blokken (Worksheets for mathematics education in the primary school), IOWO curriculum development publication 3, Utrecht 1976.
Jong, R. de (ed.): Inter-lokaal (working material for mathematics education in the primary school), IOWO curriculum development publication 4, Utrecht 1976.
Nijhof, W. `Van externe naar interne differentiatie?’ Pedagogische Studien 53 (1976), 391–405.
Ehrenfest-Afanassjewa, T.: Wiskunde. Didactische opstellen, Groningen 1960.
Dormolen, J. van: `Over het leren begrijpen wat een bewijs is’, Euclides 50 (1975), 247–253.
Râde, L. (ed.): The teaching of probability and statistics, New York 1970.
Dienes, Z. P.: An experimental study of mathematics learning, London 1963.
Bruiser, J. S.: The process of education, New York 1960.
Bruner, J. S.: Toward a Theory of Instruction, New York, 1966, p. 44.
Freudenthal, H.: Weeding and sowing. Preface to a science of mathematical education, Dordrecht 1978, pp. 233 ff.
Hoffman, N.: `Pascal’s Triangle’, The Arithmetic Teacher 21 (1973), 190–199.
Pollak, H. O.: `The interaction between mathematics and other school subjects’, paper for the Third International Congress of Mathematics Education, Karlsruhe 1976.
Bruner, J. S.: The process of education, New York 1960, 55–69.
Fishbein, E.: `Intuition, structure and heuristic methods in the teaching of mathematics’, in Howson, A. G. (ed.), Developments in Mathematics Education,Cambridge 1973, pp. 222–233.
Blankertz, H.: Theorien and Modelle der Didaktik, München 1969.
Meyer, H. L.: Einführung in die Curriculum-Methodologie, München 1972.
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© 1987 D. Reidel Publishing Company
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Treffers, A. (1987). Starting Points. In: Three Dimensions. Mathematics Education Library, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3707-9_2
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DOI: https://doi.org/10.1007/978-94-009-3707-9_2
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