THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY

Detalhes bibliográficos
Autor(a) principal: Monteagudo, Carlos Duardo
Data de Publicação: 2023
Outros Autores: Marcelo, Liety Díaz, Salvador, Joaquín Suárez
Tipo de documento: preprint
Idioma: spa
Título da fonte: SciELO Preprints
Texto Completo: https://preprints.scielo.org/index.php/scielo/preprint/view/6687
Resumo: The topic of the equality of triangles, the fundamental basis for the study of geometric contents, is taught and consolidated in the eighth grade. The present research proposes the feasibility of applying the General Heuristic Program as an alternative for the treatment of the teaching content in the demonstrations of equality of triangles in the eighth grade of Basic Secondary School. The dialectical materialist method was used with the predominance of the quantitative approach and assumed a study sample of 23 students from an intentionally selected group of eighth grade. Observation, analysis of the product of the activity, and interview were applied together with other methods and techniques.  These made it possible to verify the difficulties in the teaching-learning process of the contents related to Unit 2 Plane geometry and calculation of bodies, specifically on the topic of equality of triangles. This is complex for the learners since they must apply concepts, propositions as well as procedures. For all these reasons, it is necessary to use the General Heuristic Program, which is incorporated through demonstration exercises. The partial evaluation of this work gave a positive result, which shows the effectiveness of the proposal.
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spelling THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARYLA DEMOSTRACIÓN DE IGUALDAD DE TRIÁNGULOS. CONSIDERACIONES PARA LA SECUNDARIA BÁSICAA PROVA DA IGUALDADE DOS TRIÂNGULOS. CONSIDERAÇÕES PARA O SECUNDÁRIO BÁSICOMatemáticaheurísticaigualdade de triângulosprovaMathematicsheuristicsequality of trianglesproofMatemáticaheurísticaigualdad de triángulosdemostraciónThe topic of the equality of triangles, the fundamental basis for the study of geometric contents, is taught and consolidated in the eighth grade. The present research proposes the feasibility of applying the General Heuristic Program as an alternative for the treatment of the teaching content in the demonstrations of equality of triangles in the eighth grade of Basic Secondary School. The dialectical materialist method was used with the predominance of the quantitative approach and assumed a study sample of 23 students from an intentionally selected group of eighth grade. Observation, analysis of the product of the activity, and interview were applied together with other methods and techniques.  These made it possible to verify the difficulties in the teaching-learning process of the contents related to Unit 2 Plane geometry and calculation of bodies, specifically on the topic of equality of triangles. This is complex for the learners since they must apply concepts, propositions as well as procedures. For all these reasons, it is necessary to use the General Heuristic Program, which is incorporated through demonstration exercises. The partial evaluation of this work gave a positive result, which shows the effectiveness of the proposal.El tema sobre igualdad de triángulos, base fundamental para el estudio de contenidos geométricos, se imparte y consolida en el octavo grado. La presente investigación expone la factibilidad de aplicación del Programa Heurístico General como alternativa para el tratamiento del contenido de enseñanza en las demostraciones de igualdad de triángulos en el octavo grado de Secundaria Básica. Se utiliza el método dialéctico materialista, con predominio del enfoque cuantitativo y asume una muestra de estudio de 23 estudiantes de un grupo de octavo grado seleccionado intencionalmente, en el que se aplicó la observación, el análisis del producto de la actividad y la entrevista entre otros métodos y técnicas, que permitieron constatar las dificultades en el proceso de enseñanza-aprendizaje de los contenidos relativos a la Unidad 2: Geometría plana y cálculo de cuerpos, específicamente en el tema de igualdad de triángulos. Este resulta complejo para los estudiantes, ya que deben aplicar conceptos, proposiciones y procedimientos. Por todo lo expuesto se precisa la utilización del Programa Heurístico General que es incorporado mediante ejercicios de demostración. La evaluación parcial de este trabajo brindó un resultado positivo, lo que muestra la efectividad de la propuesta.A disciplina de igualdade de triângulos, base fundamental para o estudo dos conteúdos geométricos, é ministrada e consolidada no oitavo ano. A presente investigação expõe a viabilidade da aplicação do Programa Heurístico Geral como alternativa para o tratamento do conteúdo didático nas demonstrações de igualdade de triângulos na oitava série do Ensino Médio Básico. Utiliza-se o método dialético materialista, com predominância da abordagem quantitativa e pressupõe uma amostra de estudo de 23 alunos de uma turma de oitavo ano selecionada intencionalmente, na qual foram aplicadas observação, análise do produto da atividade e entrevista entre outros. o que permitiu verificar as dificuldades no processo de ensino-aprendizagem dos conteúdos relativos à Unidade 2: Geometria plana e cálculo de corpos, especificamente na disciplina de igualdade de triângulos. Isso é complexo para os alunos, pois eles devem aplicar conceitos, proposições e procedimentos. Para tudo isso é necessária a utilização do Programa Heurístico Geral, que é incorporado por meio de exercícios de demonstração. A avaliação parcial deste trabalho proporcionou um resultado positivo, o que demonstra a eficácia da proposta.SciELO PreprintsSciELO PreprintsSciELO Preprints2023-08-28info:eu-repo/semantics/preprintinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://preprints.scielo.org/index.php/scielo/preprint/view/668710.1590/SciELOPreprints.6687spahttps://preprints.scielo.org/index.php/scielo/article/view/6687/12685Copyright (c) 2023 Carlos Duardo Monteagudo, Liety Díaz Marcelo, Joaquín Suárez Salvadorhttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessMonteagudo, Carlos DuardoMarcelo, Liety DíazSalvador, Joaquín Suárezreponame:SciELO Preprintsinstname:Scientific Electronic Library Online (SCIELO)instacron:SCI2023-08-26T02:03:46Zoai:ops.preprints.scielo.org:preprint/6687Servidor de preprintshttps://preprints.scielo.org/index.php/scieloONGhttps://preprints.scielo.org/index.php/scielo/oaiscielo.submission@scielo.orgopendoar:2023-08-26T02:03:46SciELO Preprints - Scientific Electronic Library Online (SCIELO)false
dc.title.none.fl_str_mv THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
LA DEMOSTRACIÓN DE IGUALDAD DE TRIÁNGULOS. CONSIDERACIONES PARA LA SECUNDARIA BÁSICA
A PROVA DA IGUALDADE DOS TRIÂNGULOS. CONSIDERAÇÕES PARA O SECUNDÁRIO BÁSICO
title THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
spellingShingle THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
Monteagudo, Carlos Duardo
Matemática
heurística
igualdade de triângulos
prova
Mathematics
heuristics
equality of triangles
proof
Matemática
heurística
igualdad de triángulos
demostración
title_short THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
title_full THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
title_fullStr THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
title_full_unstemmed THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
title_sort THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY
author Monteagudo, Carlos Duardo
author_facet Monteagudo, Carlos Duardo
Marcelo, Liety Díaz
Salvador, Joaquín Suárez
author_role author
author2 Marcelo, Liety Díaz
Salvador, Joaquín Suárez
author2_role author
author
dc.contributor.author.fl_str_mv Monteagudo, Carlos Duardo
Marcelo, Liety Díaz
Salvador, Joaquín Suárez
dc.subject.por.fl_str_mv Matemática
heurística
igualdade de triângulos
prova
Mathematics
heuristics
equality of triangles
proof
Matemática
heurística
igualdad de triángulos
demostración
topic Matemática
heurística
igualdade de triângulos
prova
Mathematics
heuristics
equality of triangles
proof
Matemática
heurística
igualdad de triángulos
demostración
description The topic of the equality of triangles, the fundamental basis for the study of geometric contents, is taught and consolidated in the eighth grade. The present research proposes the feasibility of applying the General Heuristic Program as an alternative for the treatment of the teaching content in the demonstrations of equality of triangles in the eighth grade of Basic Secondary School. The dialectical materialist method was used with the predominance of the quantitative approach and assumed a study sample of 23 students from an intentionally selected group of eighth grade. Observation, analysis of the product of the activity, and interview were applied together with other methods and techniques.  These made it possible to verify the difficulties in the teaching-learning process of the contents related to Unit 2 Plane geometry and calculation of bodies, specifically on the topic of equality of triangles. This is complex for the learners since they must apply concepts, propositions as well as procedures. For all these reasons, it is necessary to use the General Heuristic Program, which is incorporated through demonstration exercises. The partial evaluation of this work gave a positive result, which shows the effectiveness of the proposal.
publishDate 2023
dc.date.none.fl_str_mv 2023-08-28
dc.type.driver.fl_str_mv info:eu-repo/semantics/preprint
info:eu-repo/semantics/publishedVersion
format preprint
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://preprints.scielo.org/index.php/scielo/preprint/view/6687
10.1590/SciELOPreprints.6687
url https://preprints.scielo.org/index.php/scielo/preprint/view/6687
identifier_str_mv 10.1590/SciELOPreprints.6687
dc.language.iso.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://preprints.scielo.org/index.php/scielo/article/view/6687/12685
dc.rights.driver.fl_str_mv Copyright (c) 2023 Carlos Duardo Monteagudo, Liety Díaz Marcelo, Joaquín Suárez Salvador
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 Carlos Duardo Monteagudo, Liety Díaz Marcelo, Joaquín Suárez Salvador
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SciELO Preprints
SciELO Preprints
SciELO Preprints
publisher.none.fl_str_mv SciELO Preprints
SciELO Preprints
SciELO Preprints
dc.source.none.fl_str_mv reponame:SciELO Preprints
instname:Scientific Electronic Library Online (SCIELO)
instacron:SCI
instname_str Scientific Electronic Library Online (SCIELO)
instacron_str SCI
institution SCI
reponame_str SciELO Preprints
collection SciELO Preprints
repository.name.fl_str_mv SciELO Preprints - Scientific Electronic Library Online (SCIELO)
repository.mail.fl_str_mv scielo.submission@scielo.org
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