Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation

Detalhes bibliográficos
Autor(a) principal: Schmidt, Wilian
Data de Publicação: 2017
Outros Autores: Mariani, Rita de Cássia Pistóia
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista de Ensino de Ciências e Matemática - REnCiMa
Texto Completo: https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1196
Resumo: This study aims to investigate whether and how the semiotic representation registers are employed in four strict sense dissertations produced by Brazilian institutions that address the development of combinatory reasoning through educational activities that had the participation of high school students. Therefore the study is based on qualitative meta- analysis in the semiotic representation registers and in solving strategies of combinatorial nature of activities. Through ten descriptors data analysis showed that the use of arrangement, combination and permutation formulas mainly mobilizes symbolic records and raises treatments in the same record type. In other strategies such as enumerating the requested settings, recursion, subdividing the problem, set variables and the translation of the problem in its equivalent there was a greater diversity of records, namely: natural language, figural, tabular and tree, therefore, a greater variety in the types of changes among them.
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spelling Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic RepresentationRaciocínio combinatório: uma meta-análise com ênfase nas Representações SemióticasRaciocínio combinatórioMeta-análiseRegistros de representaçãoCombinatorial reasoningMeta-analysisRegister of representationThis study aims to investigate whether and how the semiotic representation registers are employed in four strict sense dissertations produced by Brazilian institutions that address the development of combinatory reasoning through educational activities that had the participation of high school students. Therefore the study is based on qualitative meta- analysis in the semiotic representation registers and in solving strategies of combinatorial nature of activities. Through ten descriptors data analysis showed that the use of arrangement, combination and permutation formulas mainly mobilizes symbolic records and raises treatments in the same record type. In other strategies such as enumerating the requested settings, recursion, subdividing the problem, set variables and the translation of the problem in its equivalent there was a greater diversity of records, namely: natural language, figural, tabular and tree, therefore, a greater variety in the types of changes among them.Este trabalho objetiva investigar se, e como, são mobilizados os registros de representação semiótica em quatro dissertações stricto sensu produzidas por instituições brasileiras que abordam o desenvolvimento do raciocínio combinatório por meio de atividades didáticas que tiveram a participação de alunos do ensino médio. Para tanto, o estudo embasa-se na meta-análise qualitativa, nos registros de representação semiótica e nas estratégias de resolução de atividades que envolvem raciocínio combinatório. Por meio de dez descritores, a análise dos dados permitiu concluir que o emprego das fórmulas de arranjo, combinação e permutação mobiliza principalmente registros simbólicos e suscita tratamentos nesse mesmo tipo de registro. Nas demais estratégias, como enumeração das configurações solicitadas, recursividade, subdivisão do problema, fixação de variáveis e tradução do problema a outro equivalente, identificou-se uma diversidade maior de registros, a saber: língua natural, figural, tabular e em árvore e, por conseguinte, uma variedade maior nos tipos de conversões entre eles.Editora Cruzeiro do Sul2017-09-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/119610.26843/rencima.v8i3.1196Revista de Ensino de Ciências e Matemática; v. 8 n. 3 (2017): jul./set.; 109-1282179-426X10.26843/rencima.v8i3reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/1196/899https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessSchmidt, WilianMariani, Rita de Cássia Pistóia2023-04-20T22:37:54Zoai:ojs.pkp.sfu.ca:article/1196Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-04-20T22:37:54Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false
dc.title.none.fl_str_mv Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
Raciocínio combinatório: uma meta-análise com ênfase nas Representações Semióticas
title Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
spellingShingle Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
Schmidt, Wilian
Raciocínio combinatório
Meta-análise
Registros de representação
Combinatorial reasoning
Meta-analysis
Register of representation
title_short Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
title_full Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
title_fullStr Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
title_full_unstemmed Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
title_sort Combinatorial reasoning: a meta-analysis whit emphasis on the Semiotic Representation
author Schmidt, Wilian
author_facet Schmidt, Wilian
Mariani, Rita de Cássia Pistóia
author_role author
author2 Mariani, Rita de Cássia Pistóia
author2_role author
dc.contributor.author.fl_str_mv Schmidt, Wilian
Mariani, Rita de Cássia Pistóia
dc.subject.por.fl_str_mv Raciocínio combinatório
Meta-análise
Registros de representação
Combinatorial reasoning
Meta-analysis
Register of representation
topic Raciocínio combinatório
Meta-análise
Registros de representação
Combinatorial reasoning
Meta-analysis
Register of representation
description This study aims to investigate whether and how the semiotic representation registers are employed in four strict sense dissertations produced by Brazilian institutions that address the development of combinatory reasoning through educational activities that had the participation of high school students. Therefore the study is based on qualitative meta- analysis in the semiotic representation registers and in solving strategies of combinatorial nature of activities. Through ten descriptors data analysis showed that the use of arrangement, combination and permutation formulas mainly mobilizes symbolic records and raises treatments in the same record type. In other strategies such as enumerating the requested settings, recursion, subdividing the problem, set variables and the translation of the problem in its equivalent there was a greater diversity of records, namely: natural language, figural, tabular and tree, therefore, a greater variety in the types of changes among them.
publishDate 2017
dc.date.none.fl_str_mv 2017-09-28
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://revistapos.cruzeirodosul.edu.br/rencima/article/view/1196
10.26843/rencima.v8i3.1196
url https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1196
identifier_str_mv 10.26843/rencima.v8i3.1196
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1196/899
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editora Cruzeiro do Sul
publisher.none.fl_str_mv Editora Cruzeiro do Sul
dc.source.none.fl_str_mv Revista de Ensino de Ciências e Matemática; v. 8 n. 3 (2017): jul./set.; 109-128
2179-426X
10.26843/rencima.v8i3
reponame:Revista de Ensino de Ciências e Matemática - REnCiMa
instname:Universidade de Caxias do Sul (UCS)
instacron:UCS
instname_str Universidade de Caxias do Sul (UCS)
instacron_str UCS
institution UCS
reponame_str Revista de Ensino de Ciências e Matemática - REnCiMa
collection Revista de Ensino de Ciências e Matemática - REnCiMa
repository.name.fl_str_mv Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)
repository.mail.fl_str_mv ||rencima@cruzeirodosul.edu.br
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