Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade

Detalhes bibliográficos
Autor(a) principal: Carvalho, Maria José
Data de Publicação: 2019
Outros Autores: Fernandes, José António, Freitas, Adelaide
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/27123
Resumo: This study deals with the difficulties of 9th grade Portuguese students in the building and interpreting of boxplots (DEQ). The study is based on the responses given by 93 9th grade students to 2 questions on the DEQ in a written diagnostic test. By examining the configurations of the objects and mathematical processes that intervene in the students' resolutions, we have identified discrepancies between the personal meanings reached by the students and the institutional meanings intended in the construction and interpretation of the DEQ, noting that: (i) in the construction of the DEQ we observed confusions in the form of presenting a DEQ by incorporating its numeric support in the diagram itself, and difficulties in the accuracy to be considered for the support scale of the support when the data's variation domain is greater; and (ii) in the interpretation of DEQ, there are clear difficulties in analyzing the distributional form of the data through a DEQ, observing the tendency for the student to respond based on the intuitive perception of the symmetry and dispersion of the distribution, without resorting to statistical measures in their justifications. We also observed that the construction of the DEQ is easier than its interpretation. These results corroborate the idea that the analysis of aggregate data, using DEQ, is not an easy task to understand by students of this level of education, so we suggest a greater articulation between DEQ construction activities and interpretation activities.
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spelling Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridadeSemiotic conflictsBoxplot9th grade studentsThis study deals with the difficulties of 9th grade Portuguese students in the building and interpreting of boxplots (DEQ). The study is based on the responses given by 93 9th grade students to 2 questions on the DEQ in a written diagnostic test. By examining the configurations of the objects and mathematical processes that intervene in the students' resolutions, we have identified discrepancies between the personal meanings reached by the students and the institutional meanings intended in the construction and interpretation of the DEQ, noting that: (i) in the construction of the DEQ we observed confusions in the form of presenting a DEQ by incorporating its numeric support in the diagram itself, and difficulties in the accuracy to be considered for the support scale of the support when the data's variation domain is greater; and (ii) in the interpretation of DEQ, there are clear difficulties in analyzing the distributional form of the data through a DEQ, observing the tendency for the student to respond based on the intuitive perception of the symmetry and dispersion of the distribution, without resorting to statistical measures in their justifications. We also observed that the construction of the DEQ is easier than its interpretation. These results corroborate the idea that the analysis of aggregate data, using DEQ, is not an easy task to understand by students of this level of education, so we suggest a greater articulation between DEQ construction activities and interpretation activities.Universidade Estadual Paulista2019-12-09T17:28:00Z2019-01-01T00:00:00Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/27123por0103-636X10.1590/1980-4415v33n65a25Carvalho, Maria JoséFernandes, José AntónioFreitas, Adelaideinfo: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:RCAAP2024-02-22T11:52:31Zoai:ria.ua.pt:10773/27123Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:58.050543Repositório 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 Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
title Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
spellingShingle Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
Carvalho, Maria José
Semiotic conflicts
Boxplot
9th grade students
title_short Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
title_full Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
title_fullStr Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
title_full_unstemmed Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
title_sort Construção e interpretação de diagramas de extremos e quartis por alunos portugueses do 9.° ano de escolaridade
author Carvalho, Maria José
author_facet Carvalho, Maria José
Fernandes, José António
Freitas, Adelaide
author_role author
author2 Fernandes, José António
Freitas, Adelaide
author2_role author
author
dc.contributor.author.fl_str_mv Carvalho, Maria José
Fernandes, José António
Freitas, Adelaide
dc.subject.por.fl_str_mv Semiotic conflicts
Boxplot
9th grade students
topic Semiotic conflicts
Boxplot
9th grade students
description This study deals with the difficulties of 9th grade Portuguese students in the building and interpreting of boxplots (DEQ). The study is based on the responses given by 93 9th grade students to 2 questions on the DEQ in a written diagnostic test. By examining the configurations of the objects and mathematical processes that intervene in the students' resolutions, we have identified discrepancies between the personal meanings reached by the students and the institutional meanings intended in the construction and interpretation of the DEQ, noting that: (i) in the construction of the DEQ we observed confusions in the form of presenting a DEQ by incorporating its numeric support in the diagram itself, and difficulties in the accuracy to be considered for the support scale of the support when the data's variation domain is greater; and (ii) in the interpretation of DEQ, there are clear difficulties in analyzing the distributional form of the data through a DEQ, observing the tendency for the student to respond based on the intuitive perception of the symmetry and dispersion of the distribution, without resorting to statistical measures in their justifications. We also observed that the construction of the DEQ is easier than its interpretation. These results corroborate the idea that the analysis of aggregate data, using DEQ, is not an easy task to understand by students of this level of education, so we suggest a greater articulation between DEQ construction activities and interpretation activities.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-09T17:28:00Z
2019-01-01T00:00:00Z
2019
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/27123
url http://hdl.handle.net/10773/27123
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv 0103-636X
10.1590/1980-4415v33n65a25
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dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual Paulista
publisher.none.fl_str_mv Universidade Estadual Paulista
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
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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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