Epidemiological models and the problem of coherence: from the critical justification to a practice of teaching mathematical modelling
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Data de Publicação: | 2021 |
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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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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 |
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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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1799130480503685120 |