From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10451/40738 |
Resumo: | This article reports a research in the context of a K-6 prospective teacher education experiment developed in a geometry course in the 2nd year of their preparation program. This course included the study of the classification of quadrilaterals and prisms. The research is guided by the following question: how does the learning of hierarchical classification of geometric figures evolve from a teacher education experiment that includes the classification of quadrilaterals and prisms and follows an exploratory approach to teaching? Data was collected from audio and video records from the lessons and from the participants’ written reports about the classification of quadrilaterals and prisms. The results show that, in the first stage that focused on quadrilaterals, the participants’ difficulties in classifying derived mainly from their inexperience with the process of classifying geometrical objects and from their strong conceptualization of some quadrilaterals, very attached to prototypical images. In the second stage, the classification of prisms showed a positive and significant evolution, with a lower influence of prototypical images and a higher understanding about the classification process and the identification of hierarchical relationships among “close” and “distant” figures. However, the final evaluation test showed that the prospective teachers still had misunderstandings, most often related to the interpretation of the discourse and logical reasoning than to limited figural concepts. |
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From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachersClassificationProspective teacher educationQuadrilateralsPrismsGeometric reasoningThis article reports a research in the context of a K-6 prospective teacher education experiment developed in a geometry course in the 2nd year of their preparation program. This course included the study of the classification of quadrilaterals and prisms. The research is guided by the following question: how does the learning of hierarchical classification of geometric figures evolve from a teacher education experiment that includes the classification of quadrilaterals and prisms and follows an exploratory approach to teaching? Data was collected from audio and video records from the lessons and from the participants’ written reports about the classification of quadrilaterals and prisms. The results show that, in the first stage that focused on quadrilaterals, the participants’ difficulties in classifying derived mainly from their inexperience with the process of classifying geometrical objects and from their strong conceptualization of some quadrilaterals, very attached to prototypical images. In the second stage, the classification of prisms showed a positive and significant evolution, with a lower influence of prototypical images and a higher understanding about the classification process and the identification of hierarchical relationships among “close” and “distant” figures. However, the final evaluation test showed that the prospective teachers still had misunderstandings, most often related to the interpretation of the discourse and logical reasoning than to limited figural concepts.ElsevierRepositório da Universidade de LisboaBrunheira, LinaPonte, João Pedro da2022-01-01T01:30:15Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10451/40738engBrunheira, L., & Ponte, J. P. (2019). From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers. Journal of Mathematical Behavior, 53, 65-80. Doi: https://doi.org/10.1016/j.jmathb.2018.06.0040732-3123https://doi.org/10.1016/j.jmathb.2018.06.004info: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:RCAAP2023-11-08T16:40:11Zoai:repositorio.ul.pt:10451/40738Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:54:21.412962Repositório 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 |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
title |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
spellingShingle |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers Brunheira, Lina Classification Prospective teacher education Quadrilaterals Prisms Geometric reasoning |
title_short |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
title_full |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
title_fullStr |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
title_full_unstemmed |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
title_sort |
From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers |
author |
Brunheira, Lina |
author_facet |
Brunheira, Lina Ponte, João Pedro da |
author_role |
author |
author2 |
Ponte, João Pedro da |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Repositório da Universidade de Lisboa |
dc.contributor.author.fl_str_mv |
Brunheira, Lina Ponte, João Pedro da |
dc.subject.por.fl_str_mv |
Classification Prospective teacher education Quadrilaterals Prisms Geometric reasoning |
topic |
Classification Prospective teacher education Quadrilaterals Prisms Geometric reasoning |
description |
This article reports a research in the context of a K-6 prospective teacher education experiment developed in a geometry course in the 2nd year of their preparation program. This course included the study of the classification of quadrilaterals and prisms. The research is guided by the following question: how does the learning of hierarchical classification of geometric figures evolve from a teacher education experiment that includes the classification of quadrilaterals and prisms and follows an exploratory approach to teaching? Data was collected from audio and video records from the lessons and from the participants’ written reports about the classification of quadrilaterals and prisms. The results show that, in the first stage that focused on quadrilaterals, the participants’ difficulties in classifying derived mainly from their inexperience with the process of classifying geometrical objects and from their strong conceptualization of some quadrilaterals, very attached to prototypical images. In the second stage, the classification of prisms showed a positive and significant evolution, with a lower influence of prototypical images and a higher understanding about the classification process and the identification of hierarchical relationships among “close” and “distant” figures. However, the final evaluation test showed that the prospective teachers still had misunderstandings, most often related to the interpretation of the discourse and logical reasoning than to limited figural concepts. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z 2022-01-01T01:30:15Z |
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 |
http://hdl.handle.net/10451/40738 |
url |
http://hdl.handle.net/10451/40738 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Brunheira, L., & Ponte, J. P. (2019). From the classification of quadrilaterals to the classification of prisms: An experiment with prospective teachers. Journal of Mathematical Behavior, 53, 65-80. Doi: https://doi.org/10.1016/j.jmathb.2018.06.004 0732-3123 https://doi.org/10.1016/j.jmathb.2018.06.004 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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 |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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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1799134482687590400 |