Visualization in pattern generalization: potential and challenges

Detalhes bibliográficos
Autor(a) principal: Barbosa, Ana
Data de Publicação: 2015
Outros Autores: Vale, Isabel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/20.500.11960/3834
Resumo: This study tries to understand how pre-service teachers, for basic education, solve problems involving the generalization of visual patterns, identifying: the strategies used; the difficulties presented; the role of visualization in their reasoning; the factors that influence their generalizations. We followed a qualitative methodology. The participants were 80 pre-service teachers. During the classes of a Didactics of Mathematics unit course, they solved a sequence of tasks involving growing visual patterns. Results showed that students were able to use different strategies, but also that some dimensions of the tasks can have impact in their reasoning, provoking, sometimes, a shift on the strategies used and the emergence of difficulties of different kind.
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spelling Visualization in pattern generalization: potential and challengesVisualizationPatternsGeneralizationFunctional reasoningThis study tries to understand how pre-service teachers, for basic education, solve problems involving the generalization of visual patterns, identifying: the strategies used; the difficulties presented; the role of visualization in their reasoning; the factors that influence their generalizations. We followed a qualitative methodology. The participants were 80 pre-service teachers. During the classes of a Didactics of Mathematics unit course, they solved a sequence of tasks involving growing visual patterns. Results showed that students were able to use different strategies, but also that some dimensions of the tasks can have impact in their reasoning, provoking, sometimes, a shift on the strategies used and the emergence of difficulties of different kind.2024-01-15T14:26:35Z2015-01-01T00:00:00Z20152023-12-30T18:23:40Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/20.500.11960/3834engBarbosa, AnaVale, Isabelinfo: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:RCAAP2024-01-18T09:41:13Zoai:repositorio.ipvc.pt:20.500.11960/3834Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:59.309169Repositório 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 Visualization in pattern generalization: potential and challenges
title Visualization in pattern generalization: potential and challenges
spellingShingle Visualization in pattern generalization: potential and challenges
Barbosa, Ana
Visualization
Patterns
Generalization
Functional reasoning
title_short Visualization in pattern generalization: potential and challenges
title_full Visualization in pattern generalization: potential and challenges
title_fullStr Visualization in pattern generalization: potential and challenges
title_full_unstemmed Visualization in pattern generalization: potential and challenges
title_sort Visualization in pattern generalization: potential and challenges
author Barbosa, Ana
author_facet Barbosa, Ana
Vale, Isabel
author_role author
author2 Vale, Isabel
author2_role author
dc.contributor.author.fl_str_mv Barbosa, Ana
Vale, Isabel
dc.subject.por.fl_str_mv Visualization
Patterns
Generalization
Functional reasoning
topic Visualization
Patterns
Generalization
Functional reasoning
description This study tries to understand how pre-service teachers, for basic education, solve problems involving the generalization of visual patterns, identifying: the strategies used; the difficulties presented; the role of visualization in their reasoning; the factors that influence their generalizations. We followed a qualitative methodology. The participants were 80 pre-service teachers. During the classes of a Didactics of Mathematics unit course, they solved a sequence of tasks involving growing visual patterns. Results showed that students were able to use different strategies, but also that some dimensions of the tasks can have impact in their reasoning, provoking, sometimes, a shift on the strategies used and the emergence of difficulties of different kind.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2023-12-30T18:23:40Z
2024-01-15T14:26:35Z
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