The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele

Detalhes bibliográficos
Autor(a) principal: Costa, André Pereira
Data de Publicação: 2020
Outros Autores: Santos, Marilene Rosa
Tipo de documento: Artigo
Idioma: por
Título da fonte: Educação Matemática Debate
Texto Completo: https://www.periodicos.unimontes.br/index.php/emd/article/view/1150
Resumo: In this research, we analyze the geometric thinking of undergraduate mathematics students from a university in Pernambuco. We are based on Duval's Theory of Semiotic Representation Records (1995), which presents a theoretical model on cognitive functioning in the field of geometry and Van-Hiele's (1957) theory of geometric thought development, which indicates a model of levels of understanding of geometric concepts. Participated in the research thirty-four academics who had already studied Geometry-related subjects. These participants answered a question that addressed the concept of remarkable quadrilaterals. The results indicated that almost half of these participants acted in the perceptual apprehension of Duval (1995) and in the first level of Van-Hiele (1957), characterized by the identification of geometric figures in a plane or space through physical appearance. We conclude that the articulation between the theories of Duval (1995) and Van-Hiele (1957) enabled a better understanding of the students' geometric thinking. Keywords: Duval. Van-Hiele. Quadrilaterals. Geometric thinking.
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spelling The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-HieleO pensamento geométrico na licenciatura em Matemática: uma análise à luz de Duval e Van-HieleIn this research, we analyze the geometric thinking of undergraduate mathematics students from a university in Pernambuco. We are based on Duval's Theory of Semiotic Representation Records (1995), which presents a theoretical model on cognitive functioning in the field of geometry and Van-Hiele's (1957) theory of geometric thought development, which indicates a model of levels of understanding of geometric concepts. Participated in the research thirty-four academics who had already studied Geometry-related subjects. These participants answered a question that addressed the concept of remarkable quadrilaterals. The results indicated that almost half of these participants acted in the perceptual apprehension of Duval (1995) and in the first level of Van-Hiele (1957), characterized by the identification of geometric figures in a plane or space through physical appearance. We conclude that the articulation between the theories of Duval (1995) and Van-Hiele (1957) enabled a better understanding of the students' geometric thinking. Keywords: Duval. Van-Hiele. Quadrilaterals. Geometric thinking.Nesta pesquisa, analisamos o pensamento geométrico de estudantes da licenciatura em Matemática de uma universidade em Pernambuco. Fundamentamo-nos na Teoria dos Registros de Representação Semiótica de Duval (1995), que apresenta um modelo teórico sobre o funcionamento cognitivo no campo da Geometria e na teoria de desenvolvimento do pensamento geométrico de Van-Hiele (1957), que indica um modelo de níveis de compreensão dos conceitos geométricos. Participaram da pesquisa 34 acadêmicos que já tinham cursando disciplinas relacionadas à Geometria. Esses participantes responderam uma questão que abordou o conceito de quadriláteros notáveis. Os resultados indicaram que quase a metade desses participantes atuava na apreensão perceptiva de Duval (1995) e no primeiro nível de Van-Hiele (1957), caracterizados pela identificação das figuras geométricas em um plano ou espaço por meio da aparência física. Concluímos que a articulação entre as teorias de Duval (1995) e de Van-Hiele (1957) possibilitou uma melhor compreensão do pensamento geométrico dos estudantes. Palavras-chave: Duval. Van-Hiele. Quadriláteros. Pensamento Geométrico.Editora Unimontes2020-02-29info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicos.unimontes.br/index.php/emd/article/view/115010.24116/emd.e202004Educação Matemática Debate; v. 4 n. 10 (2020): jan./dez.; 1-202526-6136reponame:Educação Matemática Debateinstname:Universidade Estadual de Montes Claros (UNIMONTES)instacron:UNIMONTESporhttps://www.periodicos.unimontes.br/index.php/emd/article/view/1150/4171https://www.periodicos.unimontes.br/index.php/emd/article/view/1150/1183https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessCosta, André PereiraSantos, Marilene Rosa2021-04-29T13:59:02Zoai:ojs2.periodicos.unimontes.br:article/1150Revistahttps://www.periodicos.unimontes.br/index.php/emdPUBhttps://www.periodicos.unimontes.br/index.php/emdrevista.emd@unimontes.br||2526-61362526-6136opendoar:2021-04-29T13:59:02Educação Matemática Debate - Universidade Estadual de Montes Claros (UNIMONTES)false
dc.title.none.fl_str_mv The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
O pensamento geométrico na licenciatura em Matemática: uma análise à luz de Duval e Van-Hiele
title The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
spellingShingle The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
Costa, André Pereira
title_short The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
title_full The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
title_fullStr The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
title_full_unstemmed The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
title_sort The geometric thinking in Mathematics degree: an analysis in the light of Duval and Van-Hiele
author Costa, André Pereira
author_facet Costa, André Pereira
Santos, Marilene Rosa
author_role author
author2 Santos, Marilene Rosa
author2_role author
dc.contributor.author.fl_str_mv Costa, André Pereira
Santos, Marilene Rosa
description In this research, we analyze the geometric thinking of undergraduate mathematics students from a university in Pernambuco. We are based on Duval's Theory of Semiotic Representation Records (1995), which presents a theoretical model on cognitive functioning in the field of geometry and Van-Hiele's (1957) theory of geometric thought development, which indicates a model of levels of understanding of geometric concepts. Participated in the research thirty-four academics who had already studied Geometry-related subjects. These participants answered a question that addressed the concept of remarkable quadrilaterals. The results indicated that almost half of these participants acted in the perceptual apprehension of Duval (1995) and in the first level of Van-Hiele (1957), characterized by the identification of geometric figures in a plane or space through physical appearance. We conclude that the articulation between the theories of Duval (1995) and Van-Hiele (1957) enabled a better understanding of the students' geometric thinking. Keywords: Duval. Van-Hiele. Quadrilaterals. Geometric thinking.
publishDate 2020
dc.date.none.fl_str_mv 2020-02-29
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv https://www.periodicos.unimontes.br/index.php/emd/article/view/1150
10.24116/emd.e202004
url https://www.periodicos.unimontes.br/index.php/emd/article/view/1150
identifier_str_mv 10.24116/emd.e202004
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://www.periodicos.unimontes.br/index.php/emd/article/view/1150/4171
https://www.periodicos.unimontes.br/index.php/emd/article/view/1150/1183
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info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
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dc.publisher.none.fl_str_mv Editora Unimontes
publisher.none.fl_str_mv Editora Unimontes
dc.source.none.fl_str_mv Educação Matemática Debate; v. 4 n. 10 (2020): jan./dez.; 1-20
2526-6136
reponame:Educação Matemática Debate
instname:Universidade Estadual de Montes Claros (UNIMONTES)
instacron:UNIMONTES
instname_str Universidade Estadual de Montes Claros (UNIMONTES)
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institution UNIMONTES
reponame_str Educação Matemática Debate
collection Educação Matemática Debate
repository.name.fl_str_mv Educação Matemática Debate - Universidade Estadual de Montes Claros (UNIMONTES)
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