Abstract
The paper presents some of the results obtained in the course of experiments which have provided evidence of a considerable degree of numerical competence exhibited by six-years-olds and of their fairly advanced activity in discovering and dealing with arithmetical problems.
The children used both “counting” and “non-counting” ways for solving arithmetical problems. They applied them elastically and interchangeably, often combining them into mutually complementary patterns of finding solutions.
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References
Comiti, C.: 1980, “Les premières acquisitions de la notion de nombre par l'enfant”,Educational Studies in Mathematics 11, 301–318.
Comiti, C., Bessot, A., and Pariselle, C.: 1980, “Analyse de comportements d'éléves en cours préparatoire confrontés a une tâche de construction d'un ensemble équipotent a un ensemble donné”,Recherches en didactique des math ématiques, Vol. 1–2, Grenoble, pp. 171–224.
Fuson, K. C.: 1983, “The development of counting words and of the counting act”, in ICME Berkeley 1980, Birkhäuser, Boston, pp, 499–502.
Fuson, K. C.: 1988,Children's Counting and Concepts of Number, Springer-Verlag, New York.
Gelman, R. and Gallistel, C. R.: 1978,The Child's Understanding of Number, Harvard University Press, England.
Maćkowiakowie, J. A.: 1960,Rozwójpojeć matematycznych u dzieci w wieku przedszkolnym, PTPN, Poznań.
Piaget, J. and Szemińska, A.: 1941,La genèse du nombre chez l'enfant, Delachaux et Niestlé, Neuchâtel.
Urbanska, A.: 1987,Pojecie liczby naturalnej w rozumieniu dzieci rozpoczynajacych nauke szkolna, WSP, Kraków (unpublished doctoral thesis).
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Urbańska, A. On the numerical competence of six-years-old children. Educ Stud Math 24, 265–275 (1993). https://doi.org/10.1007/BF01275427
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DOI: https://doi.org/10.1007/BF01275427