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The study investigated the solution of direct which requires multiplication for its resolution and inverse which requires division for its resolution Cartesian product problems by elementary education students, examining the level of problem complexity and the children procedures according to the type of problem.
A total of 8 and 10 year-old students attending from 3rd to 5th grade, were asked 8 and 10 years to solve direct and inverse Cartesian product problems.
As expected, the inverse problem was the most difficult one. The strategies showed that levels of combinatorial reasoning vary according to the type of problem. It was also found a progression in the solution of direct Cartesian product problems, but not in relation to the solution of inverse problems.
De quantas maneiras diferentes ela pode se arrumar? Fonte: Imagem elaborada pelas autoras. Se ela levou 3 saias, quantas blusas ela tem que ter levado para poder formas esses 12 trajes?
Bryant; Morgado; Nunes, ; Fischbein; Grossman, Identificam-se ainda pesquisas em que se compara o desempenho em diferentes tipos de problemas e. A professora lia em voz alta cada problema. Fonte: Extrato de protocolo retirado do material coletado pela pesquisa. Combinatorial Reasoning and its Assessment. The Assessment Challenge in Statistics Education. Tokyo: PME, Cooperative Problem Solving in Combinatorics: the inter-relations between control processes and successful solutions.
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Em Teia, Recife, v. Rio de Janeiro: Record, Rio de Janeiro: Zahar, Epsilon, Granada, v. Making Explicit the Principles Governing Combinatorial Reasoning: does it help children to solve cartesian product problems? Belo Horizonte: PME, Educar em Revista, Curitiba, n.
Curitiba: Editora CRV, Multiplicative Structures. Numbers Concepts and Operations in the Middle Grades. Hillsdale: Lawrence Erlbaum, E-mail: sandramagina gmail. E-mail: alinaspinillo hotmail. This is an open-access article distributed under the terms of the Creative Commons Attribution License.
Abstract: The study investigated the solution of direct which requires multiplication for its resolution and inverse which requires division for its resolution Cartesian product problems by elementary education students, examining the level of problem complexity and the children procedures according to the type of problem. Recebido: 15 de Maio de ; Aceito: 27 de Agosto de Como citar este artigo.
ANALISE COMBINATORIA EXERCICIOS RESOLVIDOS COMENTADOS PDF