Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching

Detalhes bibliográficos
Autor(a) principal: Broetto, Geraldo Claudio
Data de Publicação: 2017
Outros Autores: Santos-Wagner, Vânia Maria Pereira dos
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/1093
Resumo: This article aims to make a diagnosis of knowledge regarding rational and irrational numbers brought by a newcomer student of an undergraduate course in mathematics teaching. The data presented here are part of a PhD research with the participation of two groups of students entering this undergraduate course in mathematics teaching at the Instituto Federal do Espírito Santo - IFES – Campus Vitória. The theoretical framework used to analyze the data was the concept image and concept definition (David Tall and Shlomo Vinner), incipient understanding (António Domingos), instrumental and relational understanding (Richard Skemp), and prototypes examples (Rina Hershkowitz). The results showed that the student has concept image with respect to rational and irrational numbers consistent with an incipient understanding of the subject.
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spelling Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teachingConhecimentos relativos a Números Racionais e Irracionais de uma aluna ingressante na Licenciatura em MatemáticaNúmeros irracionaisLicenciatura em matemáticaImagem do conceitoIrrational numbersDegree in mathematics teachingConcept imageThis article aims to make a diagnosis of knowledge regarding rational and irrational numbers brought by a newcomer student of an undergraduate course in mathematics teaching. The data presented here are part of a PhD research with the participation of two groups of students entering this undergraduate course in mathematics teaching at the Instituto Federal do Espírito Santo - IFES – Campus Vitória. The theoretical framework used to analyze the data was the concept image and concept definition (David Tall and Shlomo Vinner), incipient understanding (António Domingos), instrumental and relational understanding (Richard Skemp), and prototypes examples (Rina Hershkowitz). The results showed that the student has concept image with respect to rational and irrational numbers consistent with an incipient understanding of the subject.O presente artigo se propõe a fazer um diagnóstico dos conhecimentos referentes a números racionais e irracionais trazidos por uma aluna ingressante de um curso de licenciatura em matemática. Os dados aqui apresentados são parte integrante de uma pesquisa de doutorado da qual participaram duas turmas de alunos ingressantes na licenciatura em matemática do Instituto Federal do Espírito Santo – IFES – Campus Vitória. O quadro teórico utilizado para analisar os dados foi a imagem do conceito e a definição do conceito (David Tall e Shlomo Vinner), compreensão incipiente (António Domingos), compreensão instrumental e relacional (Richard Skemp), e os exemplos protótipos (Rina Hershkowitz). Os resultados mostraram que a aluna possui imagem do conceito compatíveis com uma compreensão incipiente em relação a números racionais e irracionais.Editora Cruzeiro do Sul2017-04-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/109310.26843/rencima.v8i1.1093Revista de Ensino de Ciências e Matemática; v. 8 n. 1 (2017): jan./mar.; 67-822179-426X10.26843/rencima.v8i1reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/1093/870https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessBroetto, Geraldo ClaudioSantos-Wagner, Vânia Maria Pereira dos2023-04-20T22:22:21Zoai:ojs.pkp.sfu.ca:article/1093Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-04-20T22:22:21Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false
dc.title.none.fl_str_mv Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
Conhecimentos relativos a Números Racionais e Irracionais de uma aluna ingressante na Licenciatura em Matemática
title Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
spellingShingle Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
Broetto, Geraldo Claudio
Números irracionais
Licenciatura em matemática
Imagem do conceito
Irrational numbers
Degree in mathematics teaching
Concept image
title_short Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
title_full Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
title_fullStr Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
title_full_unstemmed Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
title_sort Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
author Broetto, Geraldo Claudio
author_facet Broetto, Geraldo Claudio
Santos-Wagner, Vânia Maria Pereira dos
author_role author
author2 Santos-Wagner, Vânia Maria Pereira dos
author2_role author
dc.contributor.author.fl_str_mv Broetto, Geraldo Claudio
Santos-Wagner, Vânia Maria Pereira dos
dc.subject.por.fl_str_mv Números irracionais
Licenciatura em matemática
Imagem do conceito
Irrational numbers
Degree in mathematics teaching
Concept image
topic Números irracionais
Licenciatura em matemática
Imagem do conceito
Irrational numbers
Degree in mathematics teaching
Concept image
description This article aims to make a diagnosis of knowledge regarding rational and irrational numbers brought by a newcomer student of an undergraduate course in mathematics teaching. The data presented here are part of a PhD research with the participation of two groups of students entering this undergraduate course in mathematics teaching at the Instituto Federal do Espírito Santo - IFES – Campus Vitória. The theoretical framework used to analyze the data was the concept image and concept definition (David Tall and Shlomo Vinner), incipient understanding (António Domingos), instrumental and relational understanding (Richard Skemp), and prototypes examples (Rina Hershkowitz). The results showed that the student has concept image with respect to rational and irrational numbers consistent with an incipient understanding of the subject.
publishDate 2017
dc.date.none.fl_str_mv 2017-04-07
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/1093
10.26843/rencima.v8i1.1093
url https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1093
identifier_str_mv 10.26843/rencima.v8i1.1093
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1093/870
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. 1 (2017): jan./mar.; 67-82
2179-426X
10.26843/rencima.v8i1
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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