Students’ modelling processes when working with math trails
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://doi.org/10.48489/quadrante.23699 |
Resumo: | On math trails, students can make direct connections between real objects and mathematical ideas. In these extracurricular learning arrangements, which are in the form of a rally, students visit places and objects in the city or around the school to solve mathematical tasks. The tasks comprise measuring or estimating relevant sizes and quantities and placing them in a respective mathematical model. One indicator of the usefulness of math trails as a form of learning is the extent to which they entail modelling processes. In the present qualitative study, two 11th-grade school classes at Oslo, divided into five groups of three students each (Ngroups=10), were individually recorded on video while working with math trails. Each group’s work was then analysed to determine observable modelling processes. The results for the groups in completing a math trail that involved circle calculation showed individual progressions between modelling phases while they worked on the tasks. The real objects were used in particular in various forms of data collection and validation. The article presents the study and reports on empirical findings on two groups of students’ modelling processes on math trails. |
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Students’ modelling processes when working with math trailsProcessos de modelação dos alunos envolvidos em trilhos matemáticosArtigosOn math trails, students can make direct connections between real objects and mathematical ideas. In these extracurricular learning arrangements, which are in the form of a rally, students visit places and objects in the city or around the school to solve mathematical tasks. The tasks comprise measuring or estimating relevant sizes and quantities and placing them in a respective mathematical model. One indicator of the usefulness of math trails as a form of learning is the extent to which they entail modelling processes. In the present qualitative study, two 11th-grade school classes at Oslo, divided into five groups of three students each (Ngroups=10), were individually recorded on video while working with math trails. Each group’s work was then analysed to determine observable modelling processes. The results for the groups in completing a math trail that involved circle calculation showed individual progressions between modelling phases while they worked on the tasks. The real objects were used in particular in various forms of data collection and validation. The article presents the study and reports on empirical findings on two groups of students’ modelling processes on math trails.Nos trilhos matemáticos, os alunos podem estabelecer conexões diretas entre objetos reais e ideias matemáticas. Nestes ambientes de aprendizagem fora da escola, sob a forma de percursos programados, são visitados locais e objetos existentes na cidade ou em redor da escola onde surgem tarefas matemáticas para resolver. As tarefas podem implicar medir ou estimar tamanhos e quantidades relevantes e integrá-los num modelo matemático apropriado. Um indicador da vantagem dos trilhos matemáticos como forma de aprendizagem é a possibilidade que oferecem de desenvolver processos de modelação matemática. Num estudo qualitativo, duas turmas de 11.º ano de Oslo, divididas em cinco grupos de três alunos cada (Ngrupos=10), foram gravadas individualmente em vídeo no decorrer da sua atividade em trilhos matemáticos. O trabalho de cada grupo foi depois analisado em termos dos processos de modelação observáveis. Os resultados de dois grupos num trilho sobre medidas de círculos mostram progressos individuais entre sucessivas fases de modelação enquanto realizavam as tarefas. Os objetos reais foram utilizados, em particular, para várias formas de recolha e validação de dados. O artigo apresenta o estudo e relata os resultados empíricos relativos aos processos de modelação matemática de dois grupos no decurso de trilhos matemáticos.APM - Associação de Professores de Matemática2021-06-30T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://doi.org/10.48489/quadrante.23699eng2183-28380872-3915Buchholtz, Nilsinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-09-22T17:07:08Zoai:ojs.revistas.rcaap.pt:article/23699Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:01:32.306548Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Students’ modelling processes when working with math trails Processos de modelação dos alunos envolvidos em trilhos matemáticos |
title |
Students’ modelling processes when working with math trails |
spellingShingle |
Students’ modelling processes when working with math trails Buchholtz, Nils Artigos |
title_short |
Students’ modelling processes when working with math trails |
title_full |
Students’ modelling processes when working with math trails |
title_fullStr |
Students’ modelling processes when working with math trails |
title_full_unstemmed |
Students’ modelling processes when working with math trails |
title_sort |
Students’ modelling processes when working with math trails |
author |
Buchholtz, Nils |
author_facet |
Buchholtz, Nils |
author_role |
author |
dc.contributor.author.fl_str_mv |
Buchholtz, Nils |
dc.subject.por.fl_str_mv |
Artigos |
topic |
Artigos |
description |
On math trails, students can make direct connections between real objects and mathematical ideas. In these extracurricular learning arrangements, which are in the form of a rally, students visit places and objects in the city or around the school to solve mathematical tasks. The tasks comprise measuring or estimating relevant sizes and quantities and placing them in a respective mathematical model. One indicator of the usefulness of math trails as a form of learning is the extent to which they entail modelling processes. In the present qualitative study, two 11th-grade school classes at Oslo, divided into five groups of three students each (Ngroups=10), were individually recorded on video while working with math trails. Each group’s work was then analysed to determine observable modelling processes. The results for the groups in completing a math trail that involved circle calculation showed individual progressions between modelling phases while they worked on the tasks. The real objects were used in particular in various forms of data collection and validation. The article presents the study and reports on empirical findings on two groups of students’ modelling processes on math trails. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-06-30T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://doi.org/10.48489/quadrante.23699 |
url |
https://doi.org/10.48489/quadrante.23699 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2183-2838 0872-3915 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
APM - Associação de Professores de Matemática |
publisher.none.fl_str_mv |
APM - Associação de Professores de Matemática |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799130480526753792 |