Learning mathematics by investigating

Detalhes bibliográficos
Autor(a) principal: Rocha, Alexandra
Data de Publicação: 2006
Outros Autores: Ponte, João Pedro da
Tipo de documento: Artigo
Idioma: por
Título da fonte: Zetetiké (Online)
Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8647004
Resumo: This study aims to verify the effects of carrying out a set ofmathematical investigations in grade 7 students. In special, it seeks to know ifstudents show the development of new mathematical knowledge and abilitiesand new conceptions and attitudes regarding mathematics and mathematicslearning. It is a de qualitative-interpretative study about professional practice,based in two case studies of students of different achievement level. Data wascollected by participant observation, interviews, questionnaires and documentsproduced by students. The results show that carrying out mathematicalinvestigations is a new situation for students that show to understand in aprogressive way their role on this kind of task. Even though both students do insome moments reasoning that constitute true mathematical proofs, none ofthem comes to a clear understanding of the need of proving. In carrying out theproposed tasks both use their previous mathematical knowledge and show thatthey learned several concepts. Furthermore, both show they appreciate this kindof task that they feel favours their learning. Without giving up many of theirtraces of their vision of mathematics, they come to it in a more dynamical way eto see themselves in a more active role in exploring mathematical situations. Thestudy shows the need for more continued and deeper experiences, using agreater diversity of tasks, to promote deeper leaning and change of conceptionsstudents.
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spelling Learning mathematics by investigatingAprender matemática investigandoMathematical investigationsAttitudesLearningConceptions of studentsInvestigações matemáticasAprendizagemAtitudesConcepções dos alunosThis study aims to verify the effects of carrying out a set ofmathematical investigations in grade 7 students. In special, it seeks to know ifstudents show the development of new mathematical knowledge and abilitiesand new conceptions and attitudes regarding mathematics and mathematicslearning. It is a de qualitative-interpretative study about professional practice,based in two case studies of students of different achievement level. Data wascollected by participant observation, interviews, questionnaires and documentsproduced by students. The results show that carrying out mathematicalinvestigations is a new situation for students that show to understand in aprogressive way their role on this kind of task. Even though both students do insome moments reasoning that constitute true mathematical proofs, none ofthem comes to a clear understanding of the need of proving. In carrying out theproposed tasks both use their previous mathematical knowledge and show thatthey learned several concepts. Furthermore, both show they appreciate this kindof task that they feel favours their learning. Without giving up many of theirtraces of their vision of mathematics, they come to it in a more dynamical way eto see themselves in a more active role in exploring mathematical situations. Thestudy shows the need for more continued and deeper experiences, using agreater diversity of tasks, to promote deeper leaning and change of conceptionsstudents.Este estudo tem por objectivo verificar o alcance da realização de um conjunto de investigações matemáticas em alunos do 7.º ano de escolaridade. Em especial, pretende-se saber se os alunos evidenciam novos conhecimentos e capacidades matemáticas e novas concepções e atitudes em relação à matemática e à sua aprendizagem nesta disciplina. Trata-se de um estudo sobre a prática profissional, de natureza qualitativo-interpretativa, baseado em dois estudos de caso de alunos de diferentes níveis de desempenho. Os dados foram recolhidos por observação participante, entrevistas, questionários e documentos produzidos pelos alunos. Os resultados evidenciam que a realização de investigações matemáticas constitui uma situação nova para os alunos, que mostram compreender de forma progressiva o seu papel neste tipo de tarefa. Apesar de ambos os alunos fazerem em certos momentos raciocínios que constituem provas matemáticas, nenhum deles chega a desenvolver uma compreensão clara da necessidade da demonstração. Na realização das tarefas propostas, ambos tiram partido dos seus conhecimentos matemáticos prévios e mostram aprender diversos conceitos. Além disso, ambos mostram adesão a este tipo de tarefa, que sentem favorecer a sua aprendizagem. Sem abandonar muitos dos traços da sua visão da matemática, passam a considerá-la de modo mais dinâmico e a ver-se a si próprios num papel mais activo na exploração de situações matemáticas. O estudo mostra a necessidade de experiências mais continuadas e aprofundadas, recorrendo a uma maior diversidade de tarefas, para promover aprendizagens e mudanças mais profundas nas concepções dos alunos.Universidade Estadual de Campinas2006-12-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTextoinfo:eu-repo/semantics/otherapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/864700410.20396/zet.v14i26.8647004Zetetike; Vol. 14 No. 2 (2006): jul./dez. [26]; 29-54Zetetike; Vol. 14 Núm. 2 (2006): jul./dez. [26]; 29-54Zetetike; v. 14 n. 2 (2006): jul./dez. [26]; 29-542176-1744reponame:Zetetiké (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8647004/13905Brazil; 2006Brasil; 2006Copyright (c) 2014 Zetetiké: Revista de Educação Matemáticahttps://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessRocha, AlexandraPonte, João Pedro da2023-10-31T15:36:16Zoai:ojs.periodicos.sbu.unicamp.br:article/8647004Revistahttp://www.fe.unicamp.br/zetetike/PUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/oaizetetike@unicamp.br2176-17440104-4877opendoar:2023-10-31T15:36:16Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv Learning mathematics by investigating
Aprender matemática investigando
title Learning mathematics by investigating
spellingShingle Learning mathematics by investigating
Rocha, Alexandra
Mathematical investigations
Attitudes
Learning
Conceptions of students
Investigações matemáticas
Aprendizagem
Atitudes
Concepções dos alunos
title_short Learning mathematics by investigating
title_full Learning mathematics by investigating
title_fullStr Learning mathematics by investigating
title_full_unstemmed Learning mathematics by investigating
title_sort Learning mathematics by investigating
author Rocha, Alexandra
author_facet Rocha, Alexandra
Ponte, João Pedro da
author_role author
author2 Ponte, João Pedro da
author2_role author
dc.contributor.author.fl_str_mv Rocha, Alexandra
Ponte, João Pedro da
dc.subject.por.fl_str_mv Mathematical investigations
Attitudes
Learning
Conceptions of students
Investigações matemáticas
Aprendizagem
Atitudes
Concepções dos alunos
topic Mathematical investigations
Attitudes
Learning
Conceptions of students
Investigações matemáticas
Aprendizagem
Atitudes
Concepções dos alunos
description This study aims to verify the effects of carrying out a set ofmathematical investigations in grade 7 students. In special, it seeks to know ifstudents show the development of new mathematical knowledge and abilitiesand new conceptions and attitudes regarding mathematics and mathematicslearning. It is a de qualitative-interpretative study about professional practice,based in two case studies of students of different achievement level. Data wascollected by participant observation, interviews, questionnaires and documentsproduced by students. The results show that carrying out mathematicalinvestigations is a new situation for students that show to understand in aprogressive way their role on this kind of task. Even though both students do insome moments reasoning that constitute true mathematical proofs, none ofthem comes to a clear understanding of the need of proving. In carrying out theproposed tasks both use their previous mathematical knowledge and show thatthey learned several concepts. Furthermore, both show they appreciate this kindof task that they feel favours their learning. Without giving up many of theirtraces of their vision of mathematics, they come to it in a more dynamical way eto see themselves in a more active role in exploring mathematical situations. Thestudy shows the need for more continued and deeper experiences, using agreater diversity of tasks, to promote deeper leaning and change of conceptionsstudents.
publishDate 2006
dc.date.none.fl_str_mv 2006-12-30
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Texto
info:eu-repo/semantics/other
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8647004
10.20396/zet.v14i26.8647004
url https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8647004
identifier_str_mv 10.20396/zet.v14i26.8647004
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8647004/13905
dc.rights.driver.fl_str_mv Copyright (c) 2014 Zetetiké: Revista de Educação Matemática
https://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2014 Zetetiké: Revista de Educação Matemática
https://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.coverage.none.fl_str_mv Brazil; 2006
Brasil; 2006
dc.publisher.none.fl_str_mv Universidade Estadual de Campinas
publisher.none.fl_str_mv Universidade Estadual de Campinas
dc.source.none.fl_str_mv Zetetike; Vol. 14 No. 2 (2006): jul./dez. [26]; 29-54
Zetetike; Vol. 14 Núm. 2 (2006): jul./dez. [26]; 29-54
Zetetike; v. 14 n. 2 (2006): jul./dez. [26]; 29-54
2176-1744
reponame:Zetetiké (Online)
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instname_str Universidade Estadual de Campinas (UNICAMP)
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reponame_str Zetetiké (Online)
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repository.mail.fl_str_mv zetetike@unicamp.br
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