RAZÕES TRIGONOMÉTRICAS NO TRIÂNGULO RETÂNGULO: UMA ANÁLISE DE ERROS NO ENSINO MÉDIO

Detalhes bibliográficos
Autor(a) principal: Fortes, Adriana Wachtmann Borges
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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spelling 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
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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
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dc.publisher.program.fl_str_mv Mestrado Profissionalizante em Ensino de Física e Matemática
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