CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Revista Prática Docente |
Texto Completo: | https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548 |
Resumo: | The concept of limit of a function is conceived with one of the main, and also one of the most complex in the work with the disciplines of Differential and Integral Calculus (CDI), being the basis for learning the concept of derivative, for example. In this sense, in order to understand how students who have already studied a CDI discipline understand this concept, this study aims to analyze the characteristics of the Three Worlds of Mathematics proposed by Tall (2004; 2013) that students of two Mathematics Degree courses mobilize when solving questions involving the concept of limit. For that, a test with seven questions was proposed to the fourteen students of two courses of Mathematics Degree of the state of Rio Grande do Sul, of which, three are analyzed in this text, in view of the proposed theoretical framework. It can be concluded that most of the students present weak conceptual images in relation to this concept, being their learning based mainly on the characteristics of Conceptual Embodied World. |
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CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMITCARACTERÍSTICAS DOS TRÊS MUNDOS DA MATEMÁTICA QUE EMERGEM NA RESOLUÇÃO DE QUESTÕES ENVOLVENDO O CONCEITO DE LIMITEEducação Matemática no Ensino SuperiorTrês Mundos da MatemáticaLimite de uma funçãoMathematics Education in Higher EducationLimit of a functionThree Worlds of MathematicsThe concept of limit of a function is conceived with one of the main, and also one of the most complex in the work with the disciplines of Differential and Integral Calculus (CDI), being the basis for learning the concept of derivative, for example. In this sense, in order to understand how students who have already studied a CDI discipline understand this concept, this study aims to analyze the characteristics of the Three Worlds of Mathematics proposed by Tall (2004; 2013) that students of two Mathematics Degree courses mobilize when solving questions involving the concept of limit. For that, a test with seven questions was proposed to the fourteen students of two courses of Mathematics Degree of the state of Rio Grande do Sul, of which, three are analyzed in this text, in view of the proposed theoretical framework. It can be concluded that most of the students present weak conceptual images in relation to this concept, being their learning based mainly on the characteristics of Conceptual Embodied World.O conceito de limite de uma função é concebido com um dos principais e mais complexos no trabalho com as disciplinas de Cálculo Diferencial e Integral (CDI), sendo base para a aprendizagem do conceito de derivada, por exemplo. Nesse sentido, buscando compreender como alunos que já cursaram uma disciplina de CDI compreendem esse conceito, esse estudo objetiva analisar características dos Três Mundos da Matemática propostos por Tall (2004; 2013) que estudantes de dois cursos de Licenciatura em Matemática mobilizam ao resolverem questões envolvendo o conceito de limite. Para tal, foi proposto um teste com sete questões à catorze estudantes de dois cursos de Licenciatura em Matemática do estado do Rio Grande do Sul, das quais, três são analisadas nesse texto, com vistas ao quadro teórico proposto. Pode-se concluir que a maioria dos estudantes apresenta imagens conceituais fracas em relação a esse conceito, estando suas aprendizagens baseadas principalmente em características do Mundo Conceitual Corporificado.Revista Prática Docente2019-07-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionMathematicsMatemáticasMatemáticaapplication/pdfhttps://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/54810.23926/RPD.2526-2149.2019.v4.n1.p80-95.id370Revista Prática Docente (Journal Practice Teacher); Vol. 4 No. 1 (2019): Janeiro a Junho de 2019; 80-95Revista Prática Docente (Revista Práctica Docente); Vol. 4 Núm. 1 (2019): Janeiro a Junho de 2019; 80-95Revista Prática Docente; v. 4 n. 1 (2019): Janeiro a Junho de 2019; 80-952526-2149reponame:Revista Prática Docenteinstname:Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT)instacron:IFMTporhttps://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548/538Copyright (c) 2023 A Revista Prática Docente tem o direito de primeira publicaçãohttps://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessOliveira Soares , Gabriel de2023-06-08T00:54:36Zoai:ojs2.periodicos.cfs.ifmt.edu.br:article/548Revistahttp://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpdPUBhttps://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/oairevistapraticadocente@cfs.ifmt.edu.br||2526-21492526-2149opendoar:2023-06-08T00:54:36Revista Prática Docente - Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT)false |
dc.title.none.fl_str_mv |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT CARACTERÍSTICAS DOS TRÊS MUNDOS DA MATEMÁTICA QUE EMERGEM NA RESOLUÇÃO DE QUESTÕES ENVOLVENDO O CONCEITO DE LIMITE |
title |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT |
spellingShingle |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT Oliveira Soares , Gabriel de Educação Matemática no Ensino Superior Três Mundos da Matemática Limite de uma função Mathematics Education in Higher Education Limit of a function Three Worlds of Mathematics |
title_short |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT |
title_full |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT |
title_fullStr |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT |
title_full_unstemmed |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT |
title_sort |
CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT |
author |
Oliveira Soares , Gabriel de |
author_facet |
Oliveira Soares , Gabriel de |
author_role |
author |
dc.contributor.author.fl_str_mv |
Oliveira Soares , Gabriel de |
dc.subject.por.fl_str_mv |
Educação Matemática no Ensino Superior Três Mundos da Matemática Limite de uma função Mathematics Education in Higher Education Limit of a function Three Worlds of Mathematics |
topic |
Educação Matemática no Ensino Superior Três Mundos da Matemática Limite de uma função Mathematics Education in Higher Education Limit of a function Three Worlds of Mathematics |
description |
The concept of limit of a function is conceived with one of the main, and also one of the most complex in the work with the disciplines of Differential and Integral Calculus (CDI), being the basis for learning the concept of derivative, for example. In this sense, in order to understand how students who have already studied a CDI discipline understand this concept, this study aims to analyze the characteristics of the Three Worlds of Mathematics proposed by Tall (2004; 2013) that students of two Mathematics Degree courses mobilize when solving questions involving the concept of limit. For that, a test with seven questions was proposed to the fourteen students of two courses of Mathematics Degree of the state of Rio Grande do Sul, of which, three are analyzed in this text, in view of the proposed theoretical framework. It can be concluded that most of the students present weak conceptual images in relation to this concept, being their learning based mainly on the characteristics of Conceptual Embodied World. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-07-15 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mathematics Matemáticas Matemática |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548 10.23926/RPD.2526-2149.2019.v4.n1.p80-95.id370 |
url |
https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548 |
identifier_str_mv |
10.23926/RPD.2526-2149.2019.v4.n1.p80-95.id370 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548/538 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2023 A Revista Prática Docente tem o direito de primeira publicação https://creativecommons.org/licenses/by-nc/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2023 A Revista Prática Docente tem o direito de primeira publicação https://creativecommons.org/licenses/by-nc/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Revista Prática Docente |
publisher.none.fl_str_mv |
Revista Prática Docente |
dc.source.none.fl_str_mv |
Revista Prática Docente (Journal Practice Teacher); Vol. 4 No. 1 (2019): Janeiro a Junho de 2019; 80-95 Revista Prática Docente (Revista Práctica Docente); Vol. 4 Núm. 1 (2019): Janeiro a Junho de 2019; 80-95 Revista Prática Docente; v. 4 n. 1 (2019): Janeiro a Junho de 2019; 80-95 2526-2149 reponame:Revista Prática Docente instname:Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT) instacron:IFMT |
instname_str |
Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT) |
instacron_str |
IFMT |
institution |
IFMT |
reponame_str |
Revista Prática Docente |
collection |
Revista Prática Docente |
repository.name.fl_str_mv |
Revista Prática Docente - Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT) |
repository.mail.fl_str_mv |
revistapraticadocente@cfs.ifmt.edu.br|| |
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