MARTINS-MOURCO, Antsnio. Factores cognitivos do insucesso na matemática: desenvolvimento da compreensão da estrutura do sistema de numeração em crianças em idade pré-escolar . []. , 18, 3, pp.355-370. ISSN 0870-8231.

Two competences have been used to infer a grasp of additive composition of numbers: rearranging quantities to solve arithmetic word problems and constructing amounts with coins of different denominations in shopping tasks. The use of a counting-on strategy to solve addition problems has been suggested to be a precursor of additive composition. Counting-on presupposes an ability to continue counting from a number greater than one. In the present study, 152 children between 4 and 7 years old were tested on story problems, shopping tasks and continuation of counting. Use of the counting-on strategy was sought in a variety of arithmetical tasks. Each child was tested on three occasions during a school year. Children were more likely to succeed on the shopping task than on arithmetic word problems. Only children who could continue counting succeeded on these tasks. In contrast, several passed the shopping task without using counting-on to solve arithmetical problems. While both counting-on and the ability to combine coins of different denominations develop from continuation of counting, there is no necessary link between them.

: Numeration system; additive composition of number; mathematical cognition.

        · |     · |     · ( pdf )