Decoding, understanding, and evaluating extant mathematical models: what does that take?

Detalhes bibliográficos
Autor(a) principal: Blomhøj , Morten
Data de Publicação: 2021
Outros Autores: Niss , Mogens
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.24129
Resumo: The far majority of theoretical and empirical studies in the didactics of mathematical modelling focus on actively putting mathematics to use in dealing with extra-mathematical contexts and situations. However, modelling competency as conceptualised in, e.g., the Danish KOM Project, also involves the ability to analyse and relate to extant mathematical models. This ability has only been sparsely considered in research. The present paper proposes a systematic approach to such investigations. It takes its departure in in-depth accounts and analyses of two extant models, the so-called Reilly model of the attraction of shopping centres, and the well-established Michaelis-Menten model of enzyme kinetics. The paper aims at identifying what it takes to grasp and critically analyse such and other extant models and finishes by outlining didactical consequences for fostering students’ ability to undertaking model analysis, a highly important component of the modelling competency.
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spelling Decoding, understanding, and evaluating extant mathematical models: what does that take?Descodificar, compreender e avaliar modelos matemáticos existentes: o que é que isso requer?ArtigosThe far majority of theoretical and empirical studies in the didactics of mathematical modelling focus on actively putting mathematics to use in dealing with extra-mathematical contexts and situations. However, modelling competency as conceptualised in, e.g., the Danish KOM Project, also involves the ability to analyse and relate to extant mathematical models. This ability has only been sparsely considered in research. The present paper proposes a systematic approach to such investigations. It takes its departure in in-depth accounts and analyses of two extant models, the so-called Reilly model of the attraction of shopping centres, and the well-established Michaelis-Menten model of enzyme kinetics. The paper aims at identifying what it takes to grasp and critically analyse such and other extant models and finishes by outlining didactical consequences for fostering students’ ability to undertaking model analysis, a highly important component of the modelling competency.A grande maioria dos estudos teóricos e empíricos na didática da modelação matemática foca-se em colocar ativamente a matemática em utilização para lidar com contextos e situações extramatemáticos. Contudo, a competência de modelação matemática, tal como é entendida, por exemplo no Projeto KOM Dinamarquês, também envolve a capacidade de analisar e de compreender modelos matemáticos existentes. Essa capacidade tem sido apenas residualmente considerada na investigação. O presente artigo propõe uma abordagem sistemática para produzir tais estudos. O artigo tem como ponto de partida a análise e a descrição detalhada de dois modelos existentes, o chamado modelo Reilly da atração de centros comerciais e o modelo bem estabelecido da cinética enzimática de Michaelis-Menten. O artigo visa identificar o que é necessário para captar e analisar criticamente esses e outros modelos existentes e termina com a apresentação de consequências didáticas para promover a capacidade dos alunos de fazer a análise de modelos, uma componente altamente importante da competência 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.24129eng2183-28380872-3915Blomhøj , MortenNiss , Mogensinfo: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:RCAAP2022-09-22T17:07:09Zoai:ojs.revistas.rcaap.pt:article/24129Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:01:32.804445Repositório 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 Decoding, understanding, and evaluating extant mathematical models: what does that take?
Descodificar, compreender e avaliar modelos matemáticos existentes: o que é que isso requer?
title Decoding, understanding, and evaluating extant mathematical models: what does that take?
spellingShingle Decoding, understanding, and evaluating extant mathematical models: what does that take?
Blomhøj , Morten
Artigos
title_short Decoding, understanding, and evaluating extant mathematical models: what does that take?
title_full Decoding, understanding, and evaluating extant mathematical models: what does that take?
title_fullStr Decoding, understanding, and evaluating extant mathematical models: what does that take?
title_full_unstemmed Decoding, understanding, and evaluating extant mathematical models: what does that take?
title_sort Decoding, understanding, and evaluating extant mathematical models: what does that take?
author Blomhøj , Morten
author_facet Blomhøj , Morten
Niss , Mogens
author_role author
author2 Niss , Mogens
author2_role author
dc.contributor.author.fl_str_mv Blomhøj , Morten
Niss , Mogens
dc.subject.por.fl_str_mv Artigos
topic Artigos
description The far majority of theoretical and empirical studies in the didactics of mathematical modelling focus on actively putting mathematics to use in dealing with extra-mathematical contexts and situations. However, modelling competency as conceptualised in, e.g., the Danish KOM Project, also involves the ability to analyse and relate to extant mathematical models. This ability has only been sparsely considered in research. The present paper proposes a systematic approach to such investigations. It takes its departure in in-depth accounts and analyses of two extant models, the so-called Reilly model of the attraction of shopping centres, and the well-established Michaelis-Menten model of enzyme kinetics. The paper aims at identifying what it takes to grasp and critically analyse such and other extant models and finishes by outlining didactical consequences for fostering students’ ability to undertaking model analysis, a highly important component of the modelling competency.
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
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dc.identifier.uri.fl_str_mv https://doi.org/10.48489/quadrante.24129
url https://doi.org/10.48489/quadrante.24129
dc.language.iso.fl_str_mv eng
language eng
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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
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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