Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling

Detalhes bibliográficos
Autor(a) principal: Blomhøj, Morten
Data de Publicação: 2021
Outros Autores: Elicer, Raimundo
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.23597
Resumo: We explore the critical justification for mathematical modelling in school as one that aims at enabling students to reflect – internally and externally – on the role of mathematical models in describing and shaping risk phenomena, determining people’s courses of action, and informing actual policy decision-making. We argue for the exemplarity of epidemiology from three perspec­tives; subjective, instrumental and critical. Respectively, these refer to the case being exemplary for students’ experienced lives, mathematical ideas and competencies, and the formatting power of mathematics in society. By analysing epidemic modelling workshops with high school students in Denmark, we claim that it is possible to live up to this justification, though some challenges remain. Possibilities arise by invoking real scenarios as a departure point and scaffolding the modelling process in a dialogical setting. The main challenge is to balance the scaffolding and prompting with dialogical features in a limited timeframe.
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spelling Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modellingModelos epidemiológicos e o problema da coerência: entre a justificação crítica e uma prática de ensino da modelação matemáticaArtigosWe explore the critical justification for mathematical modelling in school as one that aims at enabling students to reflect – internally and externally – on the role of mathematical models in describing and shaping risk phenomena, determining people’s courses of action, and informing actual policy decision-making. We argue for the exemplarity of epidemiology from three perspec­tives; subjective, instrumental and critical. Respectively, these refer to the case being exemplary for students’ experienced lives, mathematical ideas and competencies, and the formatting power of mathematics in society. By analysing epidemic modelling workshops with high school students in Denmark, we claim that it is possible to live up to this justification, though some challenges remain. Possibilities arise by invoking real scenarios as a departure point and scaffolding the modelling process in a dialogical setting. The main challenge is to balance the scaffolding and prompting with dialogical features in a limited timeframe.Exploramos a justificação crítica para a modelação matemática na escola como aquela que permite aos alunos refletir - interna e externamente - sobre o papel dos modelos matemáticos na descrição e modelação dos fenómenos de risco, determinando os cursos de ação das pessoas e informando a tomada de decisão política. Discutimos a exemplaridade da epidemiologia a partir de três perspetivas; subjetiva, instrumental e crítica. Respetivamente, estas referem-se ao caso de ser exemplar para a experiência de vida dos alunos, ideias e competências matemáticas e o poder de formatação da matemática na sociedade. Ao analisar workshops de modelação de epidemias com alunos do ensino secundário na Dinamarca, afirmamos que é possível cumprir essa justificativa, embora alguns desafios permaneçam. As possibilidades surgem ao invocar cenários reais como ponto de partida e estruturando o processo de modelação num ambiente dialógico. O principal desafio é equilibrar o andaime e as sugestões com recursos dialógicos num período de tempo limitado.APM - Associação de Professores de Matemática2021-12-31T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://doi.org/10.48489/quadrante.23597eng2183-28380872-3915Blomhøj, MortenElicer, Raimundoinfo: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:RCAAP2022-09-22T17:07:06Zoai:ojs.revistas.rcaap.pt:article/23597Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:01:31.738477Repositório 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 Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
Modelos epidemiológicos e o problema da coerência: entre a justificação crítica e uma prática de ensino da modelação matemática
title Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
spellingShingle Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
Blomhøj, Morten
Artigos
title_short Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
title_full Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
title_fullStr Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
title_full_unstemmed Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
title_sort Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
author Blomhøj, Morten
author_facet Blomhøj, Morten
Elicer, Raimundo
author_role author
author2 Elicer, Raimundo
author2_role author
dc.contributor.author.fl_str_mv Blomhøj, Morten
Elicer, Raimundo
dc.subject.por.fl_str_mv Artigos
topic Artigos
description We explore the critical justification for mathematical modelling in school as one that aims at enabling students to reflect – internally and externally – on the role of mathematical models in describing and shaping risk phenomena, determining people’s courses of action, and informing actual policy decision-making. We argue for the exemplarity of epidemiology from three perspec­tives; subjective, instrumental and critical. Respectively, these refer to the case being exemplary for students’ experienced lives, mathematical ideas and competencies, and the formatting power of mathematics in society. By analysing epidemic modelling workshops with high school students in Denmark, we claim that it is possible to live up to this justification, though some challenges remain. Possibilities arise by invoking real scenarios as a departure point and scaffolding the modelling process in a dialogical setting. The main challenge is to balance the scaffolding and prompting with dialogical features in a limited timeframe.
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.23597
url https://doi.org/10.48489/quadrante.23597
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
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