Step by step: simplifying and mathematizing the real world with MathCityMap

Detalhes bibliográficos
Autor(a) principal: Ludwig, Matthias
Data de Publicação: 2021
Outros Autores: Jablonski, Simone
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.23604
Resumo: Mathematical modelling needs to be taught in realistic contexts. In this paper, we examine the potential of outdoor tasks that are solved by means of the digital tool MathCityMap to learn mathematical modelling stepwise. From a theoretical perspective, it can be assumed that the tasks have the potential to force the “Simplifying/Structuring” and “Mathematizing” steps to occur in an authentic way. In addition, MathCityMap supports the modelling process through hints and an answer validation. In a case study, we compare outdoor tasks with identical indoor tasks to examine in how far these theoretical considerations can be confirmed while using of the system. The results show that the outdoor tasks strongly force the simplifying/structuring step to occur and claim to work as precisely as possible while choosing a model and compensating for inaccuracies. Additionally, the MathCityMap system can support the choice of an exact but still simplified model by means of hints, and triggers an answer validation that might have the potential to make learners rethink the steps of the modelling cycle.
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spelling Step by step: simplifying and mathematizing the real world with MathCityMapPasso a passo: simplificando e matematizando o mundo real com o MathCityMapArtigosMathematical modelling needs to be taught in realistic contexts. In this paper, we examine the potential of outdoor tasks that are solved by means of the digital tool MathCityMap to learn mathematical modelling stepwise. From a theoretical perspective, it can be assumed that the tasks have the potential to force the “Simplifying/Structuring” and “Mathematizing” steps to occur in an authentic way. In addition, MathCityMap supports the modelling process through hints and an answer validation. In a case study, we compare outdoor tasks with identical indoor tasks to examine in how far these theoretical considerations can be confirmed while using of the system. The results show that the outdoor tasks strongly force the simplifying/structuring step to occur and claim to work as precisely as possible while choosing a model and compensating for inaccuracies. Additionally, the MathCityMap system can support the choice of an exact but still simplified model by means of hints, and triggers an answer validation that might have the potential to make learners rethink the steps of the modelling cycle.A modelação matemática precisa de ser ensinada em contextos reais. Neste artigo, examinamos o potencial das tarefas que são resolvidas em espaços exteriores, usando a ferramenta digital MathCityMap, para aprender o processo de modelação matemática passo a passo. Do ponto de vista teórico, pode supor-se que estas tarefas têm potencial para impulsionar as etapas “Simplificar/Estruturar” e “Matematizar” de uma forma autêntica. Além disso, presume-se que a ferramenta MathCityMap apoia o processo de modelação por meio de pistas e favorece a validação da solução. Num estudo de caso, comparamos tarefas resolvidas em espaços exteriores com as mesmas tarefas, mas resolvidas na sala de aula, para averiguar até que ponto essas considerações teóricas podem ser confirmadas na prática com o uso do sistema. Os resultados mostram que as tarefas resolvidas em espaços exteriores provocam fortemente a ocorrência da etapa de Simplificar/Estruturar e aumentam a exigência de trabalhar, com a maior precisão possível, na escolha de um modelo e no controlo de erros. Adicionalmente, o sistema MathCityMap permite apoiar, através de pistas, a escolha de um modelo exato, ainda que simplificado, além de fomentar a validação da resposta, mostrando ter potencial para levar os alunos a rever os passos do ciclo de modelação. APM - Associação de Professores de Matemática2021-12-31T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://doi.org/10.48489/quadrante.23604eng2183-28380872-3915Ludwig, MatthiasJablonski, Simoneinfo: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:RCAAP2022-09-22T17:07:07Zoai:ojs.revistas.rcaap.pt:article/23604Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:01:31.874645Repositório 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 Step by step: simplifying and mathematizing the real world with MathCityMap
Passo a passo: simplificando e matematizando o mundo real com o MathCityMap
title Step by step: simplifying and mathematizing the real world with MathCityMap
spellingShingle Step by step: simplifying and mathematizing the real world with MathCityMap
Ludwig, Matthias
Artigos
title_short Step by step: simplifying and mathematizing the real world with MathCityMap
title_full Step by step: simplifying and mathematizing the real world with MathCityMap
title_fullStr Step by step: simplifying and mathematizing the real world with MathCityMap
title_full_unstemmed Step by step: simplifying and mathematizing the real world with MathCityMap
title_sort Step by step: simplifying and mathematizing the real world with MathCityMap
author Ludwig, Matthias
author_facet Ludwig, Matthias
Jablonski, Simone
author_role author
author2 Jablonski, Simone
author2_role author
dc.contributor.author.fl_str_mv Ludwig, Matthias
Jablonski, Simone
dc.subject.por.fl_str_mv Artigos
topic Artigos
description Mathematical modelling needs to be taught in realistic contexts. In this paper, we examine the potential of outdoor tasks that are solved by means of the digital tool MathCityMap to learn mathematical modelling stepwise. From a theoretical perspective, it can be assumed that the tasks have the potential to force the “Simplifying/Structuring” and “Mathematizing” steps to occur in an authentic way. In addition, MathCityMap supports the modelling process through hints and an answer validation. In a case study, we compare outdoor tasks with identical indoor tasks to examine in how far these theoretical considerations can be confirmed while using of the system. The results show that the outdoor tasks strongly force the simplifying/structuring step to occur and claim to work as precisely as possible while choosing a model and compensating for inaccuracies. Additionally, the MathCityMap system can support the choice of an exact but still simplified model by means of hints, and triggers an answer validation that might have the potential to make learners rethink the steps of the modelling cycle.
publishDate 2021
dc.date.none.fl_str_mv 2021-12-31T00:00:00Z
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.23604
url https://doi.org/10.48489/quadrante.23604
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
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
repository.mail.fl_str_mv
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