Learning mathematics by investigating
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | |
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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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 |
format |
article |
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) instname:Universidade Estadual de Campinas (UNICAMP) instacron:UNICAMP |
instname_str |
Universidade Estadual de Campinas (UNICAMP) |
instacron_str |
UNICAMP |
institution |
UNICAMP |
reponame_str |
Zetetiké (Online) |
collection |
Zetetiké (Online) |
repository.name.fl_str_mv |
Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP) |
repository.mail.fl_str_mv |
zetetike@unicamp.br |
_version_ |
1798329591665786880 |