Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão

Detalhes bibliográficos
Autor(a) principal: LEAL, Waleff Mesquita
Data de Publicação: 2021
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFMA
Texto Completo: https://tedebc.ufma.br/jspui/handle/tede/tede/4043
Resumo: This work aims to support Mathematics teachers in the production of their teaching work plan, based on the results and discussions presented, as well as to promote the debate about the quality of geometry teaching in High School, through the analysis and classification of errors in the evidence of the second phase of OBMEP. For this purpose, 100 tests were randomly selected and, subsequently, question 4, which involves knowledge related to geometry, was analyzed. The research is of a quanti-qualitative character in which the errors present in the solutions given by the students were classified, following as a basis the error methodology used by Radatz (1979), with theoretical assumptions by Cury (2007), in order to provide a systematic research in which students' mistakes can be questioned, analyzing and seeking to understand their causes. At the end of the research it can be seen that most students understand the Pythagorean Theorem, however they have difficulties in its application, in addition to the great difficulty about the use of algebra in geometric problems.
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spelling ARAÚJO, Valdiane Saleshttp://lattes.cnpq.br/0818801264632485MACIEL, Domício Magalhaeshttp://lattes.cnpq.br/4207108730103387BRANDÃO, Raimundo José Barbosahttp://lattes.cnpq.br/1910896410830499ARAÚJO, Valdiane Saleshttp://lattes.cnpq.br/0818801264632485http://lattes.cnpq.br/9365327663126074LEAL, Waleff Mesquita2022-08-29T18:55:48Z2021-03-31LEAL, Waleff Mesquita. Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão. 2021. 68 f. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2021.https://tedebc.ufma.br/jspui/handle/tede/tede/4043This work aims to support Mathematics teachers in the production of their teaching work plan, based on the results and discussions presented, as well as to promote the debate about the quality of geometry teaching in High School, through the analysis and classification of errors in the evidence of the second phase of OBMEP. For this purpose, 100 tests were randomly selected and, subsequently, question 4, which involves knowledge related to geometry, was analyzed. The research is of a quanti-qualitative character in which the errors present in the solutions given by the students were classified, following as a basis the error methodology used by Radatz (1979), with theoretical assumptions by Cury (2007), in order to provide a systematic research in which students' mistakes can be questioned, analyzing and seeking to understand their causes. At the end of the research it can be seen that most students understand the Pythagorean Theorem, however they have difficulties in its application, in addition to the great difficulty about the use of algebra in geometric problems.Este trabalho tem por objetivo subsidiar professores de Matemática na produção de seu plano de trabalho docente, a partir dos resultados e discussões apresentados, bem como promover o debate acerca da qualidade do ensino de geometria no Ensino Médio, mediante a análise e classificação de erros nas provas da segunda fase da OBMEP. Para tanto, foram selecionadas aleatoriamente 100 provas e, posteriormente, analisada a questão 4, que envolve conhecimentos ligados à geometria. A pesquisa é de caráter quanti-qualitativa, na qual foram classificados os erros presentes nas soluções dadas pelos alunos, seguindo como base a metodologia de erro utilizada por Radatz (1979), com pressupostos teóricos de Cury (2007), no intuito de fornecer uma sistemática de investigação na qual se possa questionar sobre os erros dos alunos, analisando e buscando entender as causas deles. Ao final da pesquisa, pode-se observar que a maioria dos alunos compreende o Teorema de Pitágoras, no entanto, apresentam dificuldades na sua aplicação, além da grande dificuldade acerca do uso da álgebra em problemas geométricos.Submitted by Daniella Santos (daniella.santos@ufma.br) on 2022-08-29T18:55:48Z No. of bitstreams: 1 WALEFFLEAL.pdf: 1533857 bytes, checksum: 42a4a071e20f6c656896895fca5d8353 (MD5)Made available in DSpace on 2022-08-29T18:55:48Z (GMT). No. of bitstreams: 1 WALEFFLEAL.pdf: 1533857 bytes, checksum: 42a4a071e20f6c656896895fca5d8353 (MD5) Previous issue date: 2021-03-31CAPESapplication/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCETUFMABrasilDEPARTAMENTO DE MATEMÁTICA/CCETanálise de erro;ensino médio;OBMEP;geometria;error analysis;secondary school;OBMEP;geometry.Ensino-AprendizagemMatemáticaResolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no MaranhãoSolving geometry problems in high school: an analysis of errors in OBMEP tests in Maranhãoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFMAinstname:Universidade Federal do Maranhão (UFMA)instacron:UFMAORIGINALWALEFFLEAL.pdfWALEFFLEAL.pdfapplication/pdf1533857http://tedebc.ufma.br:8080/bitstream/tede/4043/2/WALEFFLEAL.pdf42a4a071e20f6c656896895fca5d8353MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82255http://tedebc.ufma.br:8080/bitstream/tede/4043/1/license.txt97eeade1fce43278e63fe063657f8083MD51tede/40432022-08-29 15:55:48.622oai:tede2: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Biblioteca Digital de Teses e Dissertaçõeshttps://tedebc.ufma.br/jspui/PUBhttp://tedebc.ufma.br:8080/oai/requestrepositorio@ufma.br||repositorio@ufma.bropendoar:21312022-08-29T18:55:48Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false
dc.title.por.fl_str_mv Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
dc.title.alternative.eng.fl_str_mv Solving geometry problems in high school: an analysis of errors in OBMEP tests in Maranhão
title Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
spellingShingle Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
LEAL, Waleff Mesquita
análise de erro;
ensino médio;
OBMEP;
geometria;
error analysis;
secondary school;
OBMEP;
geometry.
Ensino-Aprendizagem
Matemática
title_short Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
title_full Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
title_fullStr Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
title_full_unstemmed Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
title_sort Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão
author LEAL, Waleff Mesquita
author_facet LEAL, Waleff Mesquita
author_role author
dc.contributor.advisor1.fl_str_mv ARAÚJO, Valdiane Sales
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/0818801264632485
dc.contributor.referee1.fl_str_mv MACIEL, Domício Magalhaes
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/4207108730103387
dc.contributor.referee2.fl_str_mv BRANDÃO, Raimundo José Barbosa
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/1910896410830499
dc.contributor.referee3.fl_str_mv ARAÚJO, Valdiane Sales
dc.contributor.referee3Lattes.fl_str_mv http://lattes.cnpq.br/0818801264632485
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/9365327663126074
dc.contributor.author.fl_str_mv LEAL, Waleff Mesquita
contributor_str_mv ARAÚJO, Valdiane Sales
MACIEL, Domício Magalhaes
BRANDÃO, Raimundo José Barbosa
ARAÚJO, Valdiane Sales
dc.subject.por.fl_str_mv análise de erro;
ensino médio;
OBMEP;
geometria;
error analysis;
secondary school;
OBMEP;
geometry.
topic análise de erro;
ensino médio;
OBMEP;
geometria;
error analysis;
secondary school;
OBMEP;
geometry.
Ensino-Aprendizagem
Matemática
dc.subject.cnpq.fl_str_mv Ensino-Aprendizagem
Matemática
description This work aims to support Mathematics teachers in the production of their teaching work plan, based on the results and discussions presented, as well as to promote the debate about the quality of geometry teaching in High School, through the analysis and classification of errors in the evidence of the second phase of OBMEP. For this purpose, 100 tests were randomly selected and, subsequently, question 4, which involves knowledge related to geometry, was analyzed. The research is of a quanti-qualitative character in which the errors present in the solutions given by the students were classified, following as a basis the error methodology used by Radatz (1979), with theoretical assumptions by Cury (2007), in order to provide a systematic research in which students' mistakes can be questioned, analyzing and seeking to understand their causes. At the end of the research it can be seen that most students understand the Pythagorean Theorem, however they have difficulties in its application, in addition to the great difficulty about the use of algebra in geometric problems.
publishDate 2021
dc.date.issued.fl_str_mv 2021-03-31
dc.date.accessioned.fl_str_mv 2022-08-29T18:55:48Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv LEAL, Waleff Mesquita. Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão. 2021. 68 f. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2021.
dc.identifier.uri.fl_str_mv https://tedebc.ufma.br/jspui/handle/tede/tede/4043
identifier_str_mv LEAL, Waleff Mesquita. Resolução de problemas de geometria no ensino médio: uma análise de erros em provas da OBMEP no Maranhão. 2021. 68 f. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2021.
url https://tedebc.ufma.br/jspui/handle/tede/tede/4043
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language por
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 Universidade Federal do Maranhão
dc.publisher.program.fl_str_mv PROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCET
dc.publisher.initials.fl_str_mv UFMA
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv DEPARTAMENTO DE MATEMÁTICA/CCET
publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da UFMA
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