Geometria analítica e vetores: uma análise com estudantes do ensino superior.
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/2379 |
Resumo: | The present work seeks to analyze the knowledge of students of higher education on analytical geometry and vectors. A study was carried out, relating the contents covered from the first concepts of analytical geometry, studied in basic education, to the study of vectors in the plane and in space, worked in Higher Education. The methodological structure consisted of the collection and analysis of data on resolution and knowledge of vectors, occurring in two stages. In the first one the students answered a questionnaire containing 11 questions involving the concepts of vectors and their properties, already in the second an interview was made based on the answers obtained in the first stage. The analysis of the data occurred through the examination of the answers, seeking to identify the concepts of Analytical Geometry, which are the conceptual basis for the study of Vector Algebra. The students presented their own definitions and at the same time based on theory. It is verified that mathematical concepts seen in high school are often raised to support the study of vectors. |
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SILVA, Antonio José da839.142.853-20http://lattes.cnpq.br/2510444490695173SILVA, Antonio José da839.142.853-20http://lattes.cnpq.br/2510444490695173CHAVES, Josenildo de Souzahttp://lattes.cnpq.br/5748689441032603SOARES, Waléria de Jesus Barbosahttp://lattes.cnpq.br/0967769086810823040.922.403-09http://lattes.cnpq.br/2783709226106427MARTINS, Antonio Alison Pinheiro2018-09-13T14:55:22Z2018-07-27MARTINS, Antonio Alison Pinheiro. Geometria analítica e vetores: uma análise com estudantes do ensino superior. 2018. 135 folhas. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2018.https://tedebc.ufma.br/jspui/handle/tede/tede/2379The present work seeks to analyze the knowledge of students of higher education on analytical geometry and vectors. A study was carried out, relating the contents covered from the first concepts of analytical geometry, studied in basic education, to the study of vectors in the plane and in space, worked in Higher Education. The methodological structure consisted of the collection and analysis of data on resolution and knowledge of vectors, occurring in two stages. In the first one the students answered a questionnaire containing 11 questions involving the concepts of vectors and their properties, already in the second an interview was made based on the answers obtained in the first stage. The analysis of the data occurred through the examination of the answers, seeking to identify the concepts of Analytical Geometry, which are the conceptual basis for the study of Vector Algebra. The students presented their own definitions and at the same time based on theory. It is verified that mathematical concepts seen in high school are often raised to support the study of vectors.O presente trabalho busca analisar o conhecimento de estudantes do ensino superior sobre geometria analítica e vetores. Foi feito um estudo, relacionando os conteúdos abordados desde os primeiros conceitos de geometria analítica, estudados na educação básica, até o estudo de vetores no plano e no espaço, trabalhados no Ensino Superior. A estrutura metodológica consistiu na coleta e análise de dados sobre resolução e conhecimento de vetores, ocorrendo em duas etapas. Na primeira os estudantes responderam um questionário contendo 11 questões envolvendo os conceitos de vetores e suas propriedades, já na segunda foi realizada uma entrevista tomando por base as respostas obtidas na primeira etapa. A análise dos dados ocorreu mediante o exame das respostas, buscando identificar os conceitos da Geometria Analítica que fundamentam conceitualmente o estudo da Álgebra de Vetores. Os alunos apresentaram definições próprias e ao mesmo tempo embasadas na teoria. Verifica-se que conceitos matemáticos vistos no ensino médio são suscitados com frequência para fundamentar o estudo de vetores.Submitted by Maria Aparecida (cidazen@gmail.com) on 2018-09-13T14:55:22Z No. of bitstreams: 1 Antonio Alison Pinheiro.pdf: 3767976 bytes, checksum: 179b7f72fa9ecee48072e26d6bc86421 (MD5)Made available in DSpace on 2018-09-13T14:55:22Z (GMT). No. of bitstreams: 1 Antonio Alison Pinheiro.pdf: 3767976 bytes, checksum: 179b7f72fa9ecee48072e26d6bc86421 (MD5) Previous issue date: 2018-07-27application/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCETUFMABrasilDEPARTAMENTO DE MATEMÁTICA/CCETEnsino médio; Geometria Analítica; VetoresHigh school; Analytical Geometry; VectorsGeometria e Topologia.Geometria analítica e vetores: uma análise com estudantes do ensino superior.Analytic geometry and vectors: a review with students in the higher education.info: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:UFMAORIGINALAntonio Alison Pinheiro.pdfAntonio Alison Pinheiro.pdfapplication/pdf3767976http://tedebc.ufma.br:8080/bitstream/tede/2379/2/Antonio+Alison+Pinheiro.pdf179b7f72fa9ecee48072e26d6bc86421MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82255http://tedebc.ufma.br:8080/bitstream/tede/2379/1/license.txt97eeade1fce43278e63fe063657f8083MD51tede/23792023-03-13 14:27:00.135oai: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:21312023-03-13T17:27Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false |
dc.title.por.fl_str_mv |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
dc.title.alternative.eng.fl_str_mv |
Analytic geometry and vectors: a review with students in the higher education. |
title |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
spellingShingle |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. MARTINS, Antonio Alison Pinheiro Ensino médio; Geometria Analítica; Vetores High school; Analytical Geometry; Vectors Geometria e Topologia. |
title_short |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
title_full |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
title_fullStr |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
title_full_unstemmed |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
title_sort |
Geometria analítica e vetores: uma análise com estudantes do ensino superior. |
author |
MARTINS, Antonio Alison Pinheiro |
author_facet |
MARTINS, Antonio Alison Pinheiro |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
SILVA, Antonio José da |
dc.contributor.advisor1ID.fl_str_mv |
839.142.853-20 |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/2510444490695173 |
dc.contributor.referee1.fl_str_mv |
SILVA, Antonio José da |
dc.contributor.referee1ID.fl_str_mv |
839.142.853-20 |
dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/2510444490695173 |
dc.contributor.referee2.fl_str_mv |
CHAVES, Josenildo de Souza |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/5748689441032603 |
dc.contributor.referee3.fl_str_mv |
SOARES, Waléria de Jesus Barbosa |
dc.contributor.referee3Lattes.fl_str_mv |
http://lattes.cnpq.br/0967769086810823 |
dc.contributor.authorID.fl_str_mv |
040.922.403-09 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/2783709226106427 |
dc.contributor.author.fl_str_mv |
MARTINS, Antonio Alison Pinheiro |
contributor_str_mv |
SILVA, Antonio José da SILVA, Antonio José da CHAVES, Josenildo de Souza SOARES, Waléria de Jesus Barbosa |
dc.subject.por.fl_str_mv |
Ensino médio; Geometria Analítica; Vetores |
topic |
Ensino médio; Geometria Analítica; Vetores High school; Analytical Geometry; Vectors Geometria e Topologia. |
dc.subject.eng.fl_str_mv |
High school; Analytical Geometry; Vectors |
dc.subject.cnpq.fl_str_mv |
Geometria e Topologia. |
description |
The present work seeks to analyze the knowledge of students of higher education on analytical geometry and vectors. A study was carried out, relating the contents covered from the first concepts of analytical geometry, studied in basic education, to the study of vectors in the plane and in space, worked in Higher Education. The methodological structure consisted of the collection and analysis of data on resolution and knowledge of vectors, occurring in two stages. In the first one the students answered a questionnaire containing 11 questions involving the concepts of vectors and their properties, already in the second an interview was made based on the answers obtained in the first stage. The analysis of the data occurred through the examination of the answers, seeking to identify the concepts of Analytical Geometry, which are the conceptual basis for the study of Vector Algebra. The students presented their own definitions and at the same time based on theory. It is verified that mathematical concepts seen in high school are often raised to support the study of vectors. |
publishDate |
2018 |
dc.date.accessioned.fl_str_mv |
2018-09-13T14:55:22Z |
dc.date.issued.fl_str_mv |
2018-07-27 |
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 |
MARTINS, Antonio Alison Pinheiro. Geometria analítica e vetores: uma análise com estudantes do ensino superior. 2018. 135 folhas. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2018. |
dc.identifier.uri.fl_str_mv |
https://tedebc.ufma.br/jspui/handle/tede/tede/2379 |
identifier_str_mv |
MARTINS, Antonio Alison Pinheiro. Geometria analítica e vetores: uma análise com estudantes do ensino superior. 2018. 135 folhas. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2018. |
url |
https://tedebc.ufma.br/jspui/handle/tede/tede/2379 |
dc.language.iso.fl_str_mv |
por |
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 |
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Biblioteca Digital de Teses e Dissertações da UFMA |
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Biblioteca Digital de Teses e Dissertações da UFMA |
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