RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional Universidade Franciscana |
Texto Completo: | http://tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/131 http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/396 |
Resumo: | This research aimed to analyze errors made by high school students to solve problems involving trigonometric reasons in the rectangle triangle and plan activities to remediate them. We also seek to collect the opinions of teachers about such errors, through a questionnaire applied to them. The investigation was carried out with students from second year of high school in the city of Quevedos, RS. The errors made by the students in response to a test were categorized separately for each question. We analyzed 11 public school teachers and 58 high school students. Thirty-three students answered these questions and, further, 25 other students made some activities on Trigonometry, in order to verify if these students also had difficulties in solving such issues. In the final stage of this research participated 12 students of the Youth and Adults Education (EJA) who tested the activities that had been proposed as final product of this dissertation. By the number of occurrences in each class of errors, it was noted that the students have many difficulties related to the identification of the names of the sides of a triangle and to the knowledge of trigonometric relationships defined therein. Teachers who responded to the survey have generally considered that the difficulties of the students are related to the lack of attention and knowledge prerequisites. All the teachers work in public schools in Quevedos as well in the neighboring city, Santa Maria, RS. Based on the opinions and suggestions made by the teachers, we created a Webquest as final product of this research, with a sequence of activities that aim to overcome the difficulties presented by the students. |
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Cury, Helena NoronhaCPF:09196498072CPF:96958863020http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4456956A5Fortes, Adriana Wachtmann Borges2018-06-27T19:13:16Z2012-01-06FORTES, Adriana Wachtmann Borges. RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO. 2012. 97 f. Dissertação (Mestrado em Ensino de Matemática) - Universidade Franciscana, Santa Maria, 2012.http://tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/131http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/396This research aimed to analyze errors made by high school students to solve problems involving trigonometric reasons in the rectangle triangle and plan activities to remediate them. We also seek to collect the opinions of teachers about such errors, through a questionnaire applied to them. The investigation was carried out with students from second year of high school in the city of Quevedos, RS. The errors made by the students in response to a test were categorized separately for each question. We analyzed 11 public school teachers and 58 high school students. Thirty-three students answered these questions and, further, 25 other students made some activities on Trigonometry, in order to verify if these students also had difficulties in solving such issues. In the final stage of this research participated 12 students of the Youth and Adults Education (EJA) who tested the activities that had been proposed as final product of this dissertation. By the number of occurrences in each class of errors, it was noted that the students have many difficulties related to the identification of the names of the sides of a triangle and to the knowledge of trigonometric relationships defined therein. Teachers who responded to the survey have generally considered that the difficulties of the students are related to the lack of attention and knowledge prerequisites. All the teachers work in public schools in Quevedos as well in the neighboring city, Santa Maria, RS. Based on the opinions and suggestions made by the teachers, we created a Webquest as final product of this research, with a sequence of activities that aim to overcome the difficulties presented by the students.Esta pesquisa teve como objetivo analisar os erros cometidos pelos alunos do Ensino Médio na resolução de problemas que envolvem razões trigonométricas no triângulo retângulo e planejar atividades para remediá-los. Também procuramos coletar as opiniões de professores sobre tais erros, por meio de um questionário a eles aplicado. A investigação realizou-se com estudantes do 2º ano do Ensino Médio de uma escola pública, no município de Quevedos, RS. Os erros cometidos pelos alunos nas respostas a um teste foram categorizados separadamente para cada questão. Participaram desta pesquisa 11 professores de escolas públicas e 58 alunos de Ensino Médio. Trinta e três desses alunos responderam às questões e, posteriormente, 25 realizaram algumas atividades sobre Trigonometria, com intuito de verificar se esses estudantes também tinham dificuldade para resolver tais questões. Na etapa final da pesquisa, também participaram 12 alunos da Educação de Jovens e Adultos (EJA) que testaram as atividades que foram propostas como produto final desta dissertação. Pelo número de ocorrências em cada classe de erros, notou-se que os alunos têm muitas dificuldades relacionadas à identificação da nomenclatura dos lados de um triângulo retângulo e ao conhecimento das relações trigonométricas nele definidas. Os professores que responderam à pesquisa consideraram, em geral, que as dificuldades são relacionadas à falta de atenção e de conhecimentos pré-requisitos. Todos os professores trabalham em escolas públicas de Quevedos, bem como no município vizinho, Santa Maria, RS. A partir das opiniões e sugestões apresentadas pelos docentes, foi elaborada uma Webquest como produto final desta pesquisa, com uma sequência de atividades que visam superar as dificuldades apresentadas pelos estudantes.Made available in DSpace on 2018-06-27T19:13:16Z (GMT). No. of bitstreams: 2 Adriana Wachtmann Borges Fortes.pdf: 1968984 bytes, checksum: 2c7127ba5b8e9d157888771b9cabf40f (MD5) Adriana Wachtmann Borges Fortes.pdf.jpg: 3430 bytes, checksum: 389bb177d826798522e008007eb115d2 (MD5) Previous issue date: 2012-01-06Coordenação de Aperfeiçoamento de Pessoal de Nível Superiorapplication/pdfhttp://tede.universidadefranciscana.edu.br:8080/retrieve/341/Adriana%20Wachtmann%20Borges%20Fortes.pdf.jpgporUniversidade FranciscanaMestrado Profissionalizante em Ensino de Física e MatemáticaUFNBREnsino de MatemáticaAnálise de errosTrigonometriaWebquestError analysisTrigonometryWebquestCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICARAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIOinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional Universidade Franciscanainstname:Universidade Franciscana (UFN)instacron:UFNORIGINALAdriana Wachtmann Borges Fortes.pdfapplication/pdf1968984http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/396/1/Adriana+Wachtmann+Borges+Fortes.pdf2c7127ba5b8e9d157888771b9cabf40fMD51THUMBNAILAdriana Wachtmann Borges Fortes.pdf.jpgimage/jpeg3430http://tede.universidadefranciscana.edu.br:8080/bitstream/UFN-BDTD/396/2/Adriana+Wachtmann+Borges+Fortes.pdf.jpg389bb177d826798522e008007eb115d2MD52UFN-BDTD/3962018-08-01 11:28:43.654oai:tede.universidadefranciscana.edu.br:UFN-BDTD/396Repositório de Publicaçõeshttp://www.tede.universidadefranciscana.edu.br:8080/http://www.tede.universidadefranciscana.edu.br:8080/oai/requestopendoar:2018-08-01T14:28:43Repositório Institucional Universidade Franciscana - Universidade Franciscana (UFN)false |
dc.title.por.fl_str_mv |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
title |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
spellingShingle |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO Fortes, Adriana Wachtmann Borges Análise de erros Trigonometria Webquest Error analysis Trigonometry Webquest CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
title_full |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
title_fullStr |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
title_full_unstemmed |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
title_sort |
RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO |
author |
Fortes, Adriana Wachtmann Borges |
author_facet |
Fortes, Adriana Wachtmann Borges |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Cury, Helena Noronha |
dc.contributor.advisor1ID.fl_str_mv |
CPF:09196498072 |
dc.contributor.authorID.fl_str_mv |
CPF:96958863020 |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4456956A5 |
dc.contributor.author.fl_str_mv |
Fortes, Adriana Wachtmann Borges |
contributor_str_mv |
Cury, Helena Noronha |
dc.subject.por.fl_str_mv |
Análise de erros Trigonometria Webquest |
topic |
Análise de erros Trigonometria Webquest Error analysis Trigonometry Webquest CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Error analysis Trigonometry Webquest |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This research aimed to analyze errors made by high school students to solve problems involving trigonometric reasons in the rectangle triangle and plan activities to remediate them. We also seek to collect the opinions of teachers about such errors, through a questionnaire applied to them. The investigation was carried out with students from second year of high school in the city of Quevedos, RS. The errors made by the students in response to a test were categorized separately for each question. We analyzed 11 public school teachers and 58 high school students. Thirty-three students answered these questions and, further, 25 other students made some activities on Trigonometry, in order to verify if these students also had difficulties in solving such issues. In the final stage of this research participated 12 students of the Youth and Adults Education (EJA) who tested the activities that had been proposed as final product of this dissertation. By the number of occurrences in each class of errors, it was noted that the students have many difficulties related to the identification of the names of the sides of a triangle and to the knowledge of trigonometric relationships defined therein. Teachers who responded to the survey have generally considered that the difficulties of the students are related to the lack of attention and knowledge prerequisites. All the teachers work in public schools in Quevedos as well in the neighboring city, Santa Maria, RS. Based on the opinions and suggestions made by the teachers, we created a Webquest as final product of this research, with a sequence of activities that aim to overcome the difficulties presented by the students. |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012-01-06 |
dc.date.accessioned.fl_str_mv |
2018-06-27T19:13:16Z |
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 |
FORTES, Adriana Wachtmann Borges. RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO. 2012. 97 f. Dissertação (Mestrado em Ensino de Matemática) - Universidade Franciscana, Santa Maria, 2012. |
dc.identifier.uri.fl_str_mv |
http://tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/131 http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/396 |
identifier_str_mv |
FORTES, Adriana Wachtmann Borges. RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO. 2012. 97 f. Dissertação (Mestrado em Ensino de Matemática) - Universidade Franciscana, Santa Maria, 2012. |
url |
http://tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/131 http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/396 |
dc.language.iso.fl_str_mv |
por |
language |
por |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Franciscana |
dc.publisher.program.fl_str_mv |
Mestrado Profissionalizante em Ensino de Física e Matemática |
dc.publisher.initials.fl_str_mv |
UFN |
dc.publisher.country.fl_str_mv |
BR |
dc.publisher.department.fl_str_mv |
Ensino de Matemática |
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Universidade Franciscana |
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