On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes

Detalhes bibliográficos
Autor(a) principal: Schneider, Lisa
Data de Publicação: 2021
Outros Autores: Borromeo Ferri, Rita, Ruzika, Stefan
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.23719
Resumo: Working on mathematical modelling tasks is challenging for students. Several studies have shown that knowledge of mathematical modelling on a meta-level has a positive effect on the modelling process. Nevertheless, students mostly do not knowingly and consciously use solution strategies when working on modelling tasks. Within the framework of our study, we investigated whether and to what extent knowledge about ideal-typical modelling processes has an effect on the structure of the solution processes of individuals. Individuals acquired this knowledge in our study in the form of an instruction that includes information about the modelling process, e.g., the modelling cycle and a solution plan. In this article, the structure of individual modelling routes of students who have received an instruction about modelling processes are compared with those students without such an instruction. The data in the study was collected, presented, and analysed using the Modelling-Activity-Interaction-Tool (MAI-Tool), which is also presented here. The MAI-Tool is a newly developed instrument based on quantitative methods to capture and analyse structures and patterns of modelling processes in more detail than with previously known methods.
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spelling On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routesSobre la influencia de los metaconocimientos sobre modelización matemática en las rutas de modelización de los individuosSur l'influence des méta-connaissances sur la modélisation mathématique sur les parcours de modélisation des individusSobre a influência do conhecimento acerca dos processos ideais-típicos de modelação nas rotas de modelação dos indivíduosArtigosWorking on mathematical modelling tasks is challenging for students. Several studies have shown that knowledge of mathematical modelling on a meta-level has a positive effect on the modelling process. Nevertheless, students mostly do not knowingly and consciously use solution strategies when working on modelling tasks. Within the framework of our study, we investigated whether and to what extent knowledge about ideal-typical modelling processes has an effect on the structure of the solution processes of individuals. Individuals acquired this knowledge in our study in the form of an instruction that includes information about the modelling process, e.g., the modelling cycle and a solution plan. In this article, the structure of individual modelling routes of students who have received an instruction about modelling processes are compared with those students without such an instruction. The data in the study was collected, presented, and analysed using the Modelling-Activity-Interaction-Tool (MAI-Tool), which is also presented here. The MAI-Tool is a newly developed instrument based on quantitative methods to capture and analyse structures and patterns of modelling processes in more detail than with previously known methods.Trabalhar em tarefas de modelação matemática é um desafio para os estudantes. Vários estudos demonstraram que o conhecimento sobre a modelação matemática, a um meta-nível, tem um efeito positivo sobre o processo de modelação. No entanto, os estudantes não utilizam estratégias de resolução, intencional e conscientemente, ao trabalharem em tarefas de modelação. No âmbito do nosso estudo, pretende-se saber se, e em que medida, o conhecimento sobre os processos ideais-típicos de modelação tem um efeito sobre a estrutura dos processos de resolução dos indivíduos. Os indivíduos adquiriram esse conhecimento, durante o nosso estudo, no contexto de um ensino que incluiu informação sobre o processo de modelação, tal como, por exemplo, o ciclo de modelação e um plano de resolução. Neste artigo, a estrutura das rotas de modelação individuais dos estudantes que receberam instrução sobre os processos de modelação é comparada com a dos estudantes que não receberam tal instrução. Os dados do estudo foram recolhidos, apresentados e analisados, utilizando a Ferramenta de Modelação-Atividade-Interação (MAI-Tool), que também é aqui apresentada. O MAI-Tool é uma ferramenta recentemente desenvolvida com base em métodos quantitativos para captar e analisar estruturas e padrões de processos de modelação com mais detalhe do que com métodos previamente conhecidos.APM - Associação de Professores de Matemática2021-12-31T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://doi.org/10.48489/quadrante.23719eng2183-28380872-3915Schneider, LisaBorromeo Ferri, RitaRuzika, Stefaninfo: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/23719Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:01:32.393617Repositório 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 On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
Sobre la influencia de los metaconocimientos sobre modelización matemática en las rutas de modelización de los individuos
Sur l'influence des méta-connaissances sur la modélisation mathématique sur les parcours de modélisation des individus
Sobre a influência do conhecimento acerca dos processos ideais-típicos de modelação nas rotas de modelação dos indivíduos
title On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
spellingShingle On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
Schneider, Lisa
Artigos
title_short On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
title_full On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
title_fullStr On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
title_full_unstemmed On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
title_sort On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
author Schneider, Lisa
author_facet Schneider, Lisa
Borromeo Ferri, Rita
Ruzika, Stefan
author_role author
author2 Borromeo Ferri, Rita
Ruzika, Stefan
author2_role author
author
dc.contributor.author.fl_str_mv Schneider, Lisa
Borromeo Ferri, Rita
Ruzika, Stefan
dc.subject.por.fl_str_mv Artigos
topic Artigos
description Working on mathematical modelling tasks is challenging for students. Several studies have shown that knowledge of mathematical modelling on a meta-level has a positive effect on the modelling process. Nevertheless, students mostly do not knowingly and consciously use solution strategies when working on modelling tasks. Within the framework of our study, we investigated whether and to what extent knowledge about ideal-typical modelling processes has an effect on the structure of the solution processes of individuals. Individuals acquired this knowledge in our study in the form of an instruction that includes information about the modelling process, e.g., the modelling cycle and a solution plan. In this article, the structure of individual modelling routes of students who have received an instruction about modelling processes are compared with those students without such an instruction. The data in the study was collected, presented, and analysed using the Modelling-Activity-Interaction-Tool (MAI-Tool), which is also presented here. The MAI-Tool is a newly developed instrument based on quantitative methods to capture and analyse structures and patterns of modelling processes in more detail than with previously known methods.
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.23719
url https://doi.org/10.48489/quadrante.23719
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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