On the influence of knowledge about the ideal-typical modelling processes on individuals’ modelling routes
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
repository.mail.fl_str_mv |
|
_version_ |
1799130480529899520 |