Students’ modelling processes when working with math trails

Detalhes bibliográficos
Autor(a) principal: Buchholtz, Nils
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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spelling 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
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.48489/quadrante.23699
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dc.language.iso.fl_str_mv eng
language eng
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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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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