Solving and investigating: possibilities for the teaching of exponential functions

Detalhes bibliográficos
Autor(a) principal: Cardozo, Dionei
Data de Publicação: 2019
Outros Autores: Possamai, Janaína Poffo
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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spelling 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
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info:eu-repo/semantics/openAccess
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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)
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instname_str Universidade de Caxias do Sul (UCS)
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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)
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