Problems of Cartesian Product Solved by Elementary School Students

Detalhes bibliográficos
Autor(a) principal: Magina, Sandra Maria Pinto
Data de Publicação: 2017
Outros Autores: Spinillo, Alina Galvão, de Sá Melo, Lianny Milenna
Tipo de documento: Artigo
Idioma: por
Título da fonte: Educação & Realidade
Texto Completo: https://seer.ufrgs.br/index.php/educacaoerealidade/article/view/64750
Resumo: 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 269 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 aprogression in the solution of direct Cartesian product problems, but not in relation to the solution of inverse problems.
id UFRGS-9_d09fdedc3cd7cdc48a33ee524c2a9dae
oai_identifier_str oai:seer.ufrgs.br:article/64750
network_acronym_str UFRGS-9
network_name_str Educação & Realidade
repository_id_str
spelling Problems of Cartesian Product Solved by Elementary School StudentsA Resolução de Problemas de Produto Cartesiano por Alunos do Ensino FundamentalResolução de Problemas. Produto Cartesiano. Ensino Fundamental.Problem Solving. Cartesian Product Problems. Elementary Education.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 269 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 aprogression in the solution of direct Cartesian product problems, but not in relation to the solution of inverse problems.O estudo investigou a resolução de problemas de produto cartesiano diretos (requer a multiplicação para sua resolução) e inverso (requer a divisão para sua resolução) por alunos do Ensino Fundamental, examinando o nível de complexidade deles e os procedimentos adotados por esses alunos em função do tipo de problema. Solicitou-se que 269 alunos do 3º ao 5º ano, entre 8 e 10 anos, resolvessem um problema de produto cartesiano direto e outro inverso. Como esperado, o problema inverso foi o mais difícil. As estratégias mostraram que os níveis de raciocínio combinatório variavam em função do tipo de problema. Observou-se uma progressão no processo de resolução de problemas de produto cartesiano diretos, mas não nos inversos.FACED - UFRGS2017-12-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://seer.ufrgs.br/index.php/educacaoerealidade/article/view/64750Educação & Realidade [Education & Reality]; Vol. 43 No. 1 (2018)Educação & Realidade; v. 43 n. 1 (2018)2175-62360100-3143reponame:Educação & Realidadeinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSporhttps://seer.ufrgs.br/index.php/educacaoerealidade/article/view/64750/45065Copyright (c) 2017 Educação & Realidadeinfo:eu-repo/semantics/openAccessMagina, Sandra Maria PintoSpinillo, Alina Galvãode Sá Melo, Lianny Milenna2017-12-06T18:28:36Zoai:seer.ufrgs.br:article/64750Revistahttps://seer.ufrgs.br/educacaoerealidadePUBhttps://seer.ufrgs.br/educacaoerealidade/oai||educreal@ufrgs.br2175-62360100-3143opendoar:2017-12-06T18:28:36Educação & Realidade - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.none.fl_str_mv Problems of Cartesian Product Solved by Elementary School Students
A Resolução de Problemas de Produto Cartesiano por Alunos do Ensino Fundamental
title Problems of Cartesian Product Solved by Elementary School Students
spellingShingle Problems of Cartesian Product Solved by Elementary School Students
Magina, Sandra Maria Pinto
Resolução de Problemas. Produto Cartesiano. Ensino Fundamental.
Problem Solving. Cartesian Product Problems. Elementary Education.
title_short Problems of Cartesian Product Solved by Elementary School Students
title_full Problems of Cartesian Product Solved by Elementary School Students
title_fullStr Problems of Cartesian Product Solved by Elementary School Students
title_full_unstemmed Problems of Cartesian Product Solved by Elementary School Students
title_sort Problems of Cartesian Product Solved by Elementary School Students
author Magina, Sandra Maria Pinto
author_facet Magina, Sandra Maria Pinto
Spinillo, Alina Galvão
de Sá Melo, Lianny Milenna
author_role author
author2 Spinillo, Alina Galvão
de Sá Melo, Lianny Milenna
author2_role author
author
dc.contributor.author.fl_str_mv Magina, Sandra Maria Pinto
Spinillo, Alina Galvão
de Sá Melo, Lianny Milenna
dc.subject.por.fl_str_mv Resolução de Problemas. Produto Cartesiano. Ensino Fundamental.
Problem Solving. Cartesian Product Problems. Elementary Education.
topic Resolução de Problemas. Produto Cartesiano. Ensino Fundamental.
Problem Solving. Cartesian Product Problems. Elementary Education.
description 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 269 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 aprogression in the solution of direct Cartesian product problems, but not in relation to the solution of inverse problems.
publishDate 2017
dc.date.none.fl_str_mv 2017-12-06
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://seer.ufrgs.br/index.php/educacaoerealidade/article/view/64750
url https://seer.ufrgs.br/index.php/educacaoerealidade/article/view/64750
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://seer.ufrgs.br/index.php/educacaoerealidade/article/view/64750/45065
dc.rights.driver.fl_str_mv Copyright (c) 2017 Educação & Realidade
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2017 Educação & Realidade
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv FACED - UFRGS
publisher.none.fl_str_mv FACED - UFRGS
dc.source.none.fl_str_mv Educação & Realidade [Education & Reality]; Vol. 43 No. 1 (2018)
Educação & Realidade; v. 43 n. 1 (2018)
2175-6236
0100-3143
reponame:Educação & Realidade
instname:Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
instname_str Universidade Federal do Rio Grande do Sul (UFRGS)
instacron_str UFRGS
institution UFRGS
reponame_str Educação & Realidade
collection Educação & Realidade
repository.name.fl_str_mv Educação & Realidade - Universidade Federal do Rio Grande do Sul (UFRGS)
repository.mail.fl_str_mv ||educreal@ufrgs.br
_version_ 1799766987118739456

Registros relacionados