The definition of function: operationalize to articulate and articulate to understand
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Data de Publicação: | 2018 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Alexandria (Florianópolis) |
Texto Completo: | https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2018v11n1p125 |
Resumo: | To understand a mathematical concept it is needed to knowing to articulate the multiple representations of these concept. Articulate the representations of the concept of function it is not just about knowing how to identify if a table, diagram or graphics represents a function, imply to building a semantic knowledge of the concept. We believe that the articulation between various representations could be managed by the definition of function that learners would adopt. Not any definition, but one that be used and reach all representations, what we call operationalization of the definition of function. In this paper, our aim is to reflect about how to favoring the operationalization of the definition of function by learners. For this, we made a bibliographical survey focusing on the analysis of the historical-epistemological development of the concept of function, and a discussion on the multiple representations of this concept. We conclude by presenting three categories that we believe would favor the operationalization of the definition of function and that could be object of study in future projects. |
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The definition of function: operationalize to articulate and articulate to understandA definição de função: operacionalizar para articular e articular para compreenderTo understand a mathematical concept it is needed to knowing to articulate the multiple representations of these concept. Articulate the representations of the concept of function it is not just about knowing how to identify if a table, diagram or graphics represents a function, imply to building a semantic knowledge of the concept. We believe that the articulation between various representations could be managed by the definition of function that learners would adopt. Not any definition, but one that be used and reach all representations, what we call operationalization of the definition of function. In this paper, our aim is to reflect about how to favoring the operationalization of the definition of function by learners. For this, we made a bibliographical survey focusing on the analysis of the historical-epistemological development of the concept of function, and a discussion on the multiple representations of this concept. We conclude by presenting three categories that we believe would favor the operationalization of the definition of function and that could be object of study in future projects.Para compreender um conceito matemático é necessário saber articular as representações dele. Nesse sentido, articular as representações do conceito de função não é apenas saber identificar se determinada tabela, diagrama ou gráfico representa uma função, implica a construção semântica desse conceito. Acreditamos que a articulação entre as várias representações pode ser gerenciada pela definição de função que o aprendiz adota. Não qualquer definição, mas uma que seja realmente utilizada e que alcance todas as representações, o que denominamos de operacionalização da definição de função. Neste artigo, nosso objetivo é tecer reflexões sobre como favorecer a operacionalização da definição de função por parte do aprendiz. Para tal, fizemos um levantamento bibliográfico com foco na análise do desenvolvimento histórico-epistemológico do conceito de função e uma discussão sobre as múltiplas representações desse conceito. Concluímos apresentando três categorias que acreditamos favorecer a operacionalização e que podem ser objeto de estudo em projetos futuros.Universidade Federal de Santa Catarina2018-05-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2018v11n1p12510.5007/1982-5153.2018v11n1p125Alexandria: Revista de Educação em Ciência e Tecnologia; v. 11 n. 1 (2018); 125-1481982-5153reponame:Alexandria (Florianópolis)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCporhttps://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2018v11n1p125/36692Copyright (c) 2018 Alexandria: Revista de Educação em Ciência e Tecnologiainfo:eu-repo/semantics/openAccessSantos de Souza, Jerson SandroSouza, Leandro de Oliveira2018-05-21T12:47:11Zoai:periodicos.ufsc.br:article/49081Revistahttps://periodicos.ufsc.br/index.php/alexandria/oai1982-51531982-5153opendoar:2018-05-21T12:47:11Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC)false |
dc.title.none.fl_str_mv |
The definition of function: operationalize to articulate and articulate to understand A definição de função: operacionalizar para articular e articular para compreender |
title |
The definition of function: operationalize to articulate and articulate to understand |
spellingShingle |
The definition of function: operationalize to articulate and articulate to understand Santos de Souza, Jerson Sandro |
title_short |
The definition of function: operationalize to articulate and articulate to understand |
title_full |
The definition of function: operationalize to articulate and articulate to understand |
title_fullStr |
The definition of function: operationalize to articulate and articulate to understand |
title_full_unstemmed |
The definition of function: operationalize to articulate and articulate to understand |
title_sort |
The definition of function: operationalize to articulate and articulate to understand |
author |
Santos de Souza, Jerson Sandro |
author_facet |
Santos de Souza, Jerson Sandro Souza, Leandro de Oliveira |
author_role |
author |
author2 |
Souza, Leandro de Oliveira |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Santos de Souza, Jerson Sandro Souza, Leandro de Oliveira |
description |
To understand a mathematical concept it is needed to knowing to articulate the multiple representations of these concept. Articulate the representations of the concept of function it is not just about knowing how to identify if a table, diagram or graphics represents a function, imply to building a semantic knowledge of the concept. We believe that the articulation between various representations could be managed by the definition of function that learners would adopt. Not any definition, but one that be used and reach all representations, what we call operationalization of the definition of function. In this paper, our aim is to reflect about how to favoring the operationalization of the definition of function by learners. For this, we made a bibliographical survey focusing on the analysis of the historical-epistemological development of the concept of function, and a discussion on the multiple representations of this concept. We conclude by presenting three categories that we believe would favor the operationalization of the definition of function and that could be object of study in future projects. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-05-21 |
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://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2018v11n1p125 10.5007/1982-5153.2018v11n1p125 |
url |
https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2018v11n1p125 |
identifier_str_mv |
10.5007/1982-5153.2018v11n1p125 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2018v11n1p125/36692 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2018 Alexandria: Revista de Educação em Ciência e Tecnologia info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2018 Alexandria: Revista de Educação em Ciência e Tecnologia |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Santa Catarina |
publisher.none.fl_str_mv |
Universidade Federal de Santa Catarina |
dc.source.none.fl_str_mv |
Alexandria: Revista de Educação em Ciência e Tecnologia; v. 11 n. 1 (2018); 125-148 1982-5153 reponame:Alexandria (Florianópolis) instname:Universidade Federal de Santa Catarina (UFSC) instacron:UFSC |
instname_str |
Universidade Federal de Santa Catarina (UFSC) |
instacron_str |
UFSC |
institution |
UFSC |
reponame_str |
Alexandria (Florianópolis) |
collection |
Alexandria (Florianópolis) |
repository.name.fl_str_mv |
Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC) |
repository.mail.fl_str_mv |
|
_version_ |
1808843264434896896 |