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Wiskobas and Freudenthal realistic mathematics education

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Abstract

Freudenthal was the founder of so-called realistic mathematics education. In it reality does not only serve as application area but also as the source for learning. We take a newspaper article as an example of a rich context problem. It contains elements from all of the important areas of learning for mathematics education in primary school (grades 1 through 6). In the following these topics of learning are discussed. Historical comments will be indicated each time, in particular relating to the influence of Freudenthal. Freudenthal laid the foundation for this didactical realism and determined the development of various learning strands, but more indirectly than directly because he himself did not design or outline themes and learning strands. Attention is devoted briefly to the integral educational development of Wiskobas and Freudenthal's contribution to it, especially in terms of developmental research. The summary, in conclusion, is given by way of a problem that was posed by Freudenthal — his last one.

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References

  • Brink, J. van den: 1991, ‘Realistic Arithmetic Education for Young children, in Streefland, L. (ed.),Realistic Mathematics Education in Primary School, Freudenthal Institute/CD-β, Utrecht, pp. 77–92.

    Google Scholar 

  • Ernest, P.: 1991,The Philosophy of Mathematics Education, Palmer, London.

    Google Scholar 

  • Freudenthal, H.: 1973,Mathematics as an Educational Task, D. Reidel Publ. Co., Dordrecht.

    Google Scholar 

  • Freudenthal, H.: 1977, ‘Wiskunde Onderwijs anno 2000 - Afscheidsrede IOWO’,Euclides 52, 290–295.

    Google Scholar 

  • Freudenthal, H.: 1978, ‘Oppervlakte als verschijnsel benaderd’, in R. de Jong (ed.),Oppervlakte, IOWO, Utrecht, pp. 109–120.

    Google Scholar 

  • Freudenthal, H.: 1983,Didactical Phenomenology of Mathematical Structures, D. Reidel Publ. Co., Dordrecht.

    Google Scholar 

  • Freudenthal, H.: 1987,Schrijf dat op Hans, Meulenhoff, Amsterdam.

    Google Scholar 

  • Freudenthal, H.: 1991,Revisiting Mathematics Education. China Lectures, Kluwer Acad. Publ., Dordrecht.

    Google Scholar 

  • Freudenthal, H., Janssen G.M. and Sweers, WE.J. (eds.): ‘1976, IOWO-snapshots’,Educational Studies in Mathematics,7 (3), 188–367.

  • Goffree, F.: 1992,HF: Working on Mathematics Education. (paper).

  • Gravemeijer, K., van den Heuvel, M. and Streefland, L.: 1990,Contexts, Free productions, Tests and Geometry in Realistic Mathematics Education, OW & OC, Utrecht.

    Google Scholar 

  • Gravemeijer, K.: 1989.Evaluatieonderzoek vanuit ontwikkelingsperspectief (paper).

  • Heege, H. ter: 1985, ‘The acquisition of basic multiplication skills’,Educational Studies in Mathematics 16, 375–389.

    Google Scholar 

  • Jong, R. de: 1986,Wiskobas in Methoden, OW & OC, Utrecht.

    Google Scholar 

  • Lange, J. de: 1979, ‘Contextuele problemen’,Euclides 55, 50–60.

    Google Scholar 

  • Lange, J. de: 1987,Mathematics, Insight and Meaning, OW & OC, Utrecht.

    Google Scholar 

  • Moor, E. de and Streefland, L.: 1991, ‘Van Gogh in het graan’,Tijdschrift voor Nascholing en Onderzoek van het Reken- Wiskundeonderwijs 10(1), 61–64.

    Google Scholar 

  • Moor, E. de: 'Geometry-instruction (age 4–14) in the Netherlands — the realistic approach; in L. Streefland (ed.),Realistic Mathematics Education in Primary School, Freudenthal Institute, Utrecht, pp. 119–139.

  • Streefland, L.: 1991a,Fractions in realistic Mathematics Education, Kluwer Acad. Publ., Dordrecht.

    Google Scholar 

  • Streefland, L.: 1991b, ‘Fractions an integrated approach’, in Streefland, L. (ed.),Realistic Mathematics Education in Primary School, Freudenthal Institute/CD-β, Utrecht, pp. 93–118.

    Google Scholar 

  • Treffers, A.: 1987,Three dimensions. A Model of Goal and Theory Description in Mathematics Instruction — The Wiskobas Project, D. Reidel Publ. Co., Dordrecht.

    Google Scholar 

  • Treffers, A.: 1991a, ‘Meeting Innumeracy at Primary School’,Educational Studies in Mathematics 22, 333–352.

    Google Scholar 

  • Treffers, A.: 1991b, ‘Didactical Background of a Mathematics Program for Primary Education’, in Streefland, L. (ed.),Realistic Mathematics Education in Primary School, Freudenthal Institute/CD-β, Utrecht, pp. 21–56.

    Google Scholar 

  • Treffers, A., De Moor E.: 1990,Proeve van een Nationaal Programma voor het Rekenwiskundeonderwijs op de Basisschool, (deel II), Zwijsen, Tilburg.

    Google Scholar 

  • Whitney, H.: 1988,Mathematical Reasoning, Early Grades, Princeton (paper).

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I would like to thank Aad Goddijn, Fred Goffree, Rob de Jong, Edu Wijdeveld and other colleagues for their useful comments on the first draft of this article.

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Treffers, A. Wiskobas and Freudenthal realistic mathematics education. Educ Stud Math 25, 89–108 (1993). https://doi.org/10.1007/BF01274104

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