A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry

Detalhes bibliográficos
Autor(a) principal: Alves da Silva, José Gleison
Data de Publicação: 2020
Outros Autores: Vieira Alves, Francisco Régis, Menezes, Daniel Brandão
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista de Educação Matemática (Online)
Texto Completo: https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/168
Resumo: This article presents theoretical and conceptual elements characteristic of a research design in Didactics of Mathematics with the aim of highlighting a discussion and the possibility of gaining didactic-methodological knowledge about teaching plane Euclidean geometry through Olympic Problems (PO) ) taken from the tests of the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP). The objective is to carry out a Didactic Engineering (ED) aiming at the construction of an Olympic Didactic Situation (SDO), with a focus on teaching Flat Euclidean geometry, with the aid of the GeoGebra software as a technological resource in order to enable the perception of new strategies students by moving and viewing the figures presented in the problem situation. The Didactic Engineering (ED) methodology based on its two initial stages was used: Preliminary analyzes and Conception and Analysis a priori of the didactic situation, with special attention dedicated to the design and modeling of a problem situation in addition to the Theory of Didactic Situations (TSD) and GeoGebra software as a technological resource to assist in visualization and modeling. A proposal was presented through an SDO for teachers to use in the classroom or in preparation for OBMEP and with that, it is expected that it will contribute to the planning and methodological diversity applied in the school environment.
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spelling A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry Una Ingeniería Didáctica (ED) aplicada a la Olimpíada Matemática Brasileña de Escuelas Públicas y Privadas (OBMEP): Situaciones Didácticas Olímpicas (SDO) para la enseñanza de la geometría euclidiana planaEngenharia Didática (ED) aplicada a Olimpíada Brasileira de Matemática das Escolas Públicas e privadas (OBMEP): Situações Didáticas Olímpicas (SDO) para o ensino de geometria Euclidiana planaOBMEPEngenharia DidáticaTeoria das Situações DidáticasThis article presents theoretical and conceptual elements characteristic of a research design in Didactics of Mathematics with the aim of highlighting a discussion and the possibility of gaining didactic-methodological knowledge about teaching plane Euclidean geometry through Olympic Problems (PO) ) taken from the tests of the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP). The objective is to carry out a Didactic Engineering (ED) aiming at the construction of an Olympic Didactic Situation (SDO), with a focus on teaching Flat Euclidean geometry, with the aid of the GeoGebra software as a technological resource in order to enable the perception of new strategies students by moving and viewing the figures presented in the problem situation. The Didactic Engineering (ED) methodology based on its two initial stages was used: Preliminary analyzes and Conception and Analysis a priori of the didactic situation, with special attention dedicated to the design and modeling of a problem situation in addition to the Theory of Didactic Situations (TSD) and GeoGebra software as a technological resource to assist in visualization and modeling. A proposal was presented through an SDO for teachers to use in the classroom or in preparation for OBMEP and with that, it is expected that it will contribute to the planning and methodological diversity applied in the school environment.Este artículo presenta elementos teóricos y conceptuales característicos de un diseño de investigación en Didáctica de las Matemáticas con el objetivo de resaltar una discusión y la posibilidad de adquirir conocimientos didáctico-metodológicos sobre la enseñanza de la geometría plana euclidiana a través de Problemas Olímpicos (PO) extraído de las pruebas de la Olimpiada Brasileña de Matemáticas de Escuelas Públicas y Privadas (OBMEP). El objetivo es la realización de una Ingeniería Didáctica (ED) orientada a la construcción de una Situación Didáctica Olímpica (SDO), con enfoque en la enseñanza de la geometría plana euclidiana, con la ayuda del software GeoGebra como recurso tecnológico para posibilitar la percepción de nuevas estrategias. estudiantes moviéndose y viendo las figuras presentadas en la situación del problema. Se utilizó la metodología de Ingeniería Didáctica (ED) basada en sus dos etapas iniciales: Análisis Preliminar y Concepción y Análisis a priori de la situación didáctica, con especial atención dedicada al diseño y modelado de una situación problema además de la Teoría de Situaciones Didácticas. (TSD) y el software GeoGebra como recurso tecnológico para ayudar en la visualización y el modelado. Se presentó una propuesta a través de un SDO para que los docentes la utilicen en el aula o en preparación para OBMEP y con ello, se espera que contribuya a la planificación y diversidad metodológica aplicada en el ámbito escolar.Este artigo apresenta elementos de ordem teórico-conceitual característicos de um design de investigação em Didática da Matemática com o escopo de assinalar uma discussão e a possibilidade do ganho de conhecimentos didático-metodológicos acerca do ensino de geometria Euclidiana plana por meio de Problemas Olímpicos (PO) retirados das provas da Olimpíada Brasileira de Matemática das Escolas Púbicas e Privadas (OBMEP). O objetivo é realizar uma Engenharia Didática (ED) visando a construção de uma Situação Didática Olímpica (SDO), com foco no ensino de geometria Euclidiana Plana, com o auxílio do software GeoGebra como recurso tecnológico com o intuito de possibilitar a percepção de novas estratégias aos estudantes por meio da movimentação e visualização das figuras apresentadas na situação-problema. Foi usada a metodologia Engenharia Didática (ED) pautado nas suas duas etapas iniciais: Análises preliminares e Concepção e Análise a priori da situação didática, com atenção especial dedicada à concepção e a modelização de uma situação-problema em complemento com a Teoria das Situações Didáticas (TSD) e o softwareGeoGebra como recurso tecnológico auxiliadora na visualização e modelização. Apresentou-se uma proposta através de uma SDO para os professores utilizarem em sala de aula ou em preparações para a OBMEP e com isso, espera-se que ela contribua para o planejamento e na diversidade metodológica aplicada no ambiente escolar.Sociedade Brasileira de Educação Matemática (SBEM)2020-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/16810.37001/remat25269062v17id416Revista de Educação Matemática; Vol. 17 (2020): Publicação Contínua; e020047Revista de Educação Matemática; Vol. 17 (2020): Publicação Contínua; e020047Revista de Educação Matemática; v. 17 (2020): Publicação Contínua; e0200472526-9062reponame:Revista de Educação Matemática (Online)instname:Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)instacron:SBEMporhttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/168/182https://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessAlves da Silva, José GleisonVieira Alves, Francisco RégisMenezes, Daniel Brandão2023-07-08T19:09:21Zoai:ojs2.www.revistasbemsp.com.br:article/168Revistahttps://www.revistasbemsp.com.br/index.php/REMat-SPONGhttps://www.revistasbemsp.com.br/index.php/REMat-SP/oaidouglas.tinti@unicid.edu.br2526-90621676-8868opendoar:2023-07-08T19:09:21Revista de Educação Matemática (Online) - Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)false
dc.title.none.fl_str_mv A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
Una Ingeniería Didáctica (ED) aplicada a la Olimpíada Matemática Brasileña de Escuelas Públicas y Privadas (OBMEP): Situaciones Didácticas Olímpicas (SDO) para la enseñanza de la geometría euclidiana plana
Engenharia Didática (ED) aplicada a Olimpíada Brasileira de Matemática das Escolas Públicas e privadas (OBMEP): Situações Didáticas Olímpicas (SDO) para o ensino de geometria Euclidiana plana
title A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
spellingShingle A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
Alves da Silva, José Gleison
OBMEP
Engenharia Didática
Teoria das Situações Didáticas
title_short A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
title_full A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
title_fullStr A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
title_full_unstemmed A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
title_sort A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry
author Alves da Silva, José Gleison
author_facet Alves da Silva, José Gleison
Vieira Alves, Francisco Régis
Menezes, Daniel Brandão
author_role author
author2 Vieira Alves, Francisco Régis
Menezes, Daniel Brandão
author2_role author
author
dc.contributor.author.fl_str_mv Alves da Silva, José Gleison
Vieira Alves, Francisco Régis
Menezes, Daniel Brandão
dc.subject.por.fl_str_mv OBMEP
Engenharia Didática
Teoria das Situações Didáticas
topic OBMEP
Engenharia Didática
Teoria das Situações Didáticas
description This article presents theoretical and conceptual elements characteristic of a research design in Didactics of Mathematics with the aim of highlighting a discussion and the possibility of gaining didactic-methodological knowledge about teaching plane Euclidean geometry through Olympic Problems (PO) ) taken from the tests of the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP). The objective is to carry out a Didactic Engineering (ED) aiming at the construction of an Olympic Didactic Situation (SDO), with a focus on teaching Flat Euclidean geometry, with the aid of the GeoGebra software as a technological resource in order to enable the perception of new strategies students by moving and viewing the figures presented in the problem situation. The Didactic Engineering (ED) methodology based on its two initial stages was used: Preliminary analyzes and Conception and Analysis a priori of the didactic situation, with special attention dedicated to the design and modeling of a problem situation in addition to the Theory of Didactic Situations (TSD) and GeoGebra software as a technological resource to assist in visualization and modeling. A proposal was presented through an SDO for teachers to use in the classroom or in preparation for OBMEP and with that, it is expected that it will contribute to the planning and methodological diversity applied in the school environment.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/168
10.37001/remat25269062v17id416
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dc.relation.none.fl_str_mv https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/168/182
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Educação Matemática (SBEM)
publisher.none.fl_str_mv Sociedade Brasileira de Educação Matemática (SBEM)
dc.source.none.fl_str_mv Revista de Educação Matemática; Vol. 17 (2020): Publicação Contínua; e020047
Revista de Educação Matemática; Vol. 17 (2020): Publicação Contínua; e020047
Revista de Educação Matemática; v. 17 (2020): Publicação Contínua; e020047
2526-9062
reponame:Revista de Educação Matemática (Online)
instname:Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)
instacron:SBEM
instname_str Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)
instacron_str SBEM
institution SBEM
reponame_str Revista de Educação Matemática (Online)
collection Revista de Educação Matemática (Online)
repository.name.fl_str_mv Revista de Educação Matemática (Online) - Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)
repository.mail.fl_str_mv douglas.tinti@unicid.edu.br
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