Acta Mathematica Nitriensia Vol. 6, No. 1, 2020

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Šárka Pěchoučková, Martina Kašparová:	Strategies Applied by Pupils During the Representation of Natural Numbers
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Abstract: The process of creating a conception of natural number poses a complex problem. We focused primarily on manipulation activities, namely on manipulation with Cuisenaire rods, and we studied the strategies employed by first-year and second-year pupils during the enactive representation of natural numbers 4, 5, 6, 7, 9, 10, 11, 12, 19, 27, 34, 46 and 55. In the course of this experiment based on observation, following strategies were recorded: counting-on strategy, filling-in strategy “L”, filling-in strategy “S”, applied facts strategy, derived facts strategy, known facts strategy. The known facts strategy was most frequently applied in both first and second year and had two specific forms at older children. The use of counting-on strategy was considerably reduced in second grade. It was thus demonstrated that pupils had already automated operations of addition in the 0-20 range.

Keywords: natural number, manipulation, Cuisenaire rods, enactive representation, strategy

Classification: 97C30

Pages: 1 – 19

DOI: 10.17846/AMN.2020.6.1.1-19

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