Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra

Detalhes bibliográficos
Autor(a) principal: Numer, Francine Mirele
Data de Publicação: 2017
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/14418
Resumo: Spatial Geometry is a currently applied content on the high school curriculum in most high schools in Brazil. Proposing a different way to calculate volumes from Definite Integrals is giving students one more tool to solve the questions. Didactics of Problem Solving and Mathematical Modeling are excellent ways to stimulate students to learn, think and develop critical sense, as well as to apply their Definite Integral knowledge when calculating volumes, being able to turn the common learning much more meaningful. Allied to GeoGebra, a Dynamic Geometry software that enables geometric, algebraic and graphic visualization of functions, Problem Solving and Mathematical Modeling can effectively foster students learning. In this present work, activities performed with the students involving calculus of monument’s volumes using definite integrals are presented.
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spelling 2018-09-27T21:41:53Z2018-09-27T21:41:53Z2017-08-23http://repositorio.ufsm.br/handle/1/14418Spatial Geometry is a currently applied content on the high school curriculum in most high schools in Brazil. Proposing a different way to calculate volumes from Definite Integrals is giving students one more tool to solve the questions. Didactics of Problem Solving and Mathematical Modeling are excellent ways to stimulate students to learn, think and develop critical sense, as well as to apply their Definite Integral knowledge when calculating volumes, being able to turn the common learning much more meaningful. Allied to GeoGebra, a Dynamic Geometry software that enables geometric, algebraic and graphic visualization of functions, Problem Solving and Mathematical Modeling can effectively foster students learning. In this present work, activities performed with the students involving calculus of monument’s volumes using definite integrals are presented.A Geometria Espacial é um conteúdo comumente trabalhado nos currículos de Ensino Médio na maioria das escolas no Brasil. Acrescentar uma outra forma para o cálculo de volumes a partir de Integrais Definidas é dar mais uma ferramenta aos alunos para resolver questões. As didáticas de Resoluções de Problemas e de Modelagem Matemática são excelentes formas de estimular o aluno a aprender, a pensar e a desenvolver o senso crítico e, por exemplo, aplicar seus conhecimentos de Integral Definida para o cálculo de volumes, podendo tornar a aprendizagem mais significativa. Aliada ao GeoGebra, software de Geometria Dinâmica que possibilita a visualização geométrica, algébrica e gráfica de funções, a Resolução de Problemas e a Modelagem Matemática poderão auxiliar positivamente a aprendizagem dos alunos. Neste trabalho, são apresentadas atividades realizadas com os alunos envolvendo cálculo de volumes de monumentos com a utilização de integrais definidas.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em Matemática em Rede NacionalUFSMBrasilMatemáticaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessResolução de problemasModelagem matemáticaGeoGebraIntegrais definidasGeometria espacialMathematical modelingProblem solvingGeoGebraDefinite integralsSpatial geometryCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICACálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebraMonuments volume calculation using definite integrals for high school students with the support of geogebra softwareinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisPansonato, Claudia Candidahttp://lattes.cnpq.br/5048965212765046Santarosa, Maria Cecilia Pereirahttp://lattes.cnpq.br/7310867402763253Sant'Ana, Alvino Alveshttp://lattes.cnpq.br/5962460505956770http://lattes.cnpq.br/3874622677192208Numer, Francine Mirele100100000008600088433c9-b4e9-4409-a4ea-444a0bc9f18499d91c7c-c7ae-4b17-983e-672b68df2cc84c6e5e2b-2ee5-48fc-855a-63c00edaa73348fb656a-d3a6-4844-b3fa-859249000d50reponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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dc.title.por.fl_str_mv Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
dc.title.alternative.eng.fl_str_mv Monuments volume calculation using definite integrals for high school students with the support of geogebra software
title Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
spellingShingle Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
Numer, Francine Mirele
Resolução de problemas
Modelagem matemática
GeoGebra
Integrais definidas
Geometria espacial
Mathematical modeling
Problem solving
GeoGebra
Definite integrals
Spatial geometry
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
title_full Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
title_fullStr Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
title_full_unstemmed Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
title_sort Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra
author Numer, Francine Mirele
author_facet Numer, Francine Mirele
author_role author
dc.contributor.advisor1.fl_str_mv Pansonato, Claudia Candida
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5048965212765046
dc.contributor.referee1.fl_str_mv Santarosa, Maria Cecilia Pereira
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/7310867402763253
dc.contributor.referee2.fl_str_mv Sant'Ana, Alvino Alves
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/5962460505956770
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/3874622677192208
dc.contributor.author.fl_str_mv Numer, Francine Mirele
contributor_str_mv Pansonato, Claudia Candida
Santarosa, Maria Cecilia Pereira
Sant'Ana, Alvino Alves
dc.subject.por.fl_str_mv Resolução de problemas
Modelagem matemática
GeoGebra
Integrais definidas
Geometria espacial
Mathematical modeling
topic Resolução de problemas
Modelagem matemática
GeoGebra
Integrais definidas
Geometria espacial
Mathematical modeling
Problem solving
GeoGebra
Definite integrals
Spatial geometry
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Problem solving
GeoGebra
Definite integrals
Spatial geometry
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
description Spatial Geometry is a currently applied content on the high school curriculum in most high schools in Brazil. Proposing a different way to calculate volumes from Definite Integrals is giving students one more tool to solve the questions. Didactics of Problem Solving and Mathematical Modeling are excellent ways to stimulate students to learn, think and develop critical sense, as well as to apply their Definite Integral knowledge when calculating volumes, being able to turn the common learning much more meaningful. Allied to GeoGebra, a Dynamic Geometry software that enables geometric, algebraic and graphic visualization of functions, Problem Solving and Mathematical Modeling can effectively foster students learning. In this present work, activities performed with the students involving calculus of monument’s volumes using definite integrals are presented.
publishDate 2017
dc.date.issued.fl_str_mv 2017-08-23
dc.date.accessioned.fl_str_mv 2018-09-27T21:41:53Z
dc.date.available.fl_str_mv 2018-09-27T21:41:53Z
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http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
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publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
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