Solving and investigating: possibilities for the teaching of exponential functions
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Data de Publicação: | 2019 |
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/1875 |
Resumo: | This research is part of the master's dissertation entitled "From the Carbon Atom to the Great Populations: Teaching Exponential Functions under the Perspective of Problem Solving" of the Post-Graduate Program in Teaching Natural Sciences and Mathematics of the Regional University of Blumenau (FURB). The aim of this study is to analyze a problem-solving practice from the perspective of an investigative approach to the teaching of exponential functions in a first-year high school class. For that, the history of Problem Solving is discussed, as well as the differences and approximations to the context of Mathematical Research. A practice, involving the planting of a bean seed and the search for a corresponding function, is described and analyzed in order to show how a mathematical problem can be structured with questions that lead to an investigative process. As a result, a pedagogical practice in this context allows students to feel part of doing mathematics, exploring patterns, testing hypotheses, validating results and searching for new paths, as well as increasing confidence in mathematics as they expose and discuss their ideas with classmates and with the school community itself. |
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Solving and investigating: possibilities for the teaching of exponential functionsResolver e investigar: possibilidades para o ensino de funções exponenciaisResolução de ProblemasInvestigação MatemáticaFunção exponencialProblem SolvingMathematical InvestigationExponential FunctionThis research is part of the master's dissertation entitled "From the Carbon Atom to the Great Populations: Teaching Exponential Functions under the Perspective of Problem Solving" of the Post-Graduate Program in Teaching Natural Sciences and Mathematics of the Regional University of Blumenau (FURB). The aim of this study is to analyze a problem-solving practice from the perspective of an investigative approach to the teaching of exponential functions in a first-year high school class. For that, the history of Problem Solving is discussed, as well as the differences and approximations to the context of Mathematical Research. A practice, involving the planting of a bean seed and the search for a corresponding function, is described and analyzed in order to show how a mathematical problem can be structured with questions that lead to an investigative process. As a result, a pedagogical practice in this context allows students to feel part of doing mathematics, exploring patterns, testing hypotheses, validating results and searching for new paths, as well as increasing confidence in mathematics as they expose and discuss their ideas with classmates and with the school community itself.O objetivo deste estudo é analisar uma prática de resolução de problemas na perspectiva de uma abordagem investigativa para o ensino de funções exponenciais em uma turma de primeiro ano de Ensino Médio. Para tanto, discute-se o histórico da resolução de problemas, bem como as diferenças e aproximações para o contexto da investigação matemática. Uma prática, envolvendo o plantio de uma semente de feijão e a busca de uma função correspondente, é descrita e analisada com o intuito de mostrar como um problema matemático pode ser estruturado com questionamentos que levem à um processo investigativo. Como resultados verifica-se que uma pratica pedagógica nesse contexto permite aos estudantes se sentirem parte do fazer matemática, explorando padrões, testando hipóteses, validando resultados e procurando novos caminhos, bem como aumentando a confiança em relação à matemática na medida em que expõem e discutem suas ideias com os colegas da turma e com a própria comunidade escolar.Editora Cruzeiro do Sul2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/187510.26843/rencima.v10i1.1875Revista de Ensino de Ciências e Matemática; v. 10 n. 1 (2019): jan./mar.; 164-1832179-426X10.26843/rencima.v10i1reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/1875/1100https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessCardozo, DioneiPossamai, Janaína Poffo2023-04-21T01:53:44Zoai:ojs.pkp.sfu.ca:article/1875Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-04-21T01:53:44Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false |
dc.title.none.fl_str_mv |
Solving and investigating: possibilities for the teaching of exponential functions Resolver e investigar: possibilidades para o ensino de funções exponenciais |
title |
Solving and investigating: possibilities for the teaching of exponential functions |
spellingShingle |
Solving and investigating: possibilities for the teaching of exponential functions Cardozo, Dionei Resolução de Problemas Investigação Matemática Função exponencial Problem Solving Mathematical Investigation Exponential Function |
title_short |
Solving and investigating: possibilities for the teaching of exponential functions |
title_full |
Solving and investigating: possibilities for the teaching of exponential functions |
title_fullStr |
Solving and investigating: possibilities for the teaching of exponential functions |
title_full_unstemmed |
Solving and investigating: possibilities for the teaching of exponential functions |
title_sort |
Solving and investigating: possibilities for the teaching of exponential functions |
author |
Cardozo, Dionei |
author_facet |
Cardozo, Dionei Possamai, Janaína Poffo |
author_role |
author |
author2 |
Possamai, Janaína Poffo |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Cardozo, Dionei Possamai, Janaína Poffo |
dc.subject.por.fl_str_mv |
Resolução de Problemas Investigação Matemática Função exponencial Problem Solving Mathematical Investigation Exponential Function |
topic |
Resolução de Problemas Investigação Matemática Função exponencial Problem Solving Mathematical Investigation Exponential Function |
description |
This research is part of the master's dissertation entitled "From the Carbon Atom to the Great Populations: Teaching Exponential Functions under the Perspective of Problem Solving" of the Post-Graduate Program in Teaching Natural Sciences and Mathematics of the Regional University of Blumenau (FURB). The aim of this study is to analyze a problem-solving practice from the perspective of an investigative approach to the teaching of exponential functions in a first-year high school class. For that, the history of Problem Solving is discussed, as well as the differences and approximations to the context of Mathematical Research. A practice, involving the planting of a bean seed and the search for a corresponding function, is described and analyzed in order to show how a mathematical problem can be structured with questions that lead to an investigative process. As a result, a pedagogical practice in this context allows students to feel part of doing mathematics, exploring patterns, testing hypotheses, validating results and searching for new paths, as well as increasing confidence in mathematics as they expose and discuss their ideas with classmates and with the school community itself. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-01-01 |
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/1875 10.26843/rencima.v10i1.1875 |
url |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1875 |
identifier_str_mv |
10.26843/rencima.v10i1.1875 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1875/1100 |
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. 10 n. 1 (2019): jan./mar.; 164-183 2179-426X 10.26843/rencima.v10i1 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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