Knowledge of Rational and Irrational Numbers of an undergraduate student in a course in Mathematics teaching
Autor(a) principal: | |
---|---|
Data de Publicação: | 2017 |
Outros Autores: | |
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. |
id |
UCS-4_7c05d79e9e52a7c96230933af58337f7 |
---|---|
oai_identifier_str |
oai:ojs.pkp.sfu.ca:article/1093 |
network_acronym_str |
UCS-4 |
network_name_str |
Revista de Ensino de Ciências e Matemática - REnCiMa |
repository_id_str |
|
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 |
_version_ |
1799306129630560256 |