The set straight by the least squares method and didactic sections of LSQ solution for high school

Detalhes bibliográficos
Autor(a) principal: Antonio Everton Sousa da Silva
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFC
Texto Completo: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=15438
Resumo: Try to represent a line through the data of an experiment, so that it can draw inferences,enables the experience develop important hypothesis about a phenomenon. This work aims to present the method of least squares as a way to find the line that best fits a set of points. For development of this research, it was decided to do a whole literature, allowing to make theoretical survey about some concepts and differential calculus demonstrations, analytical geometry on the straight and linear algebra, as yet, define the method of least squares and apply LSQ solution to resolve an impossible system in the usual sense. Also explored in this study using Excel software as a teaching support tool and its use in the classroom. We finish with a hint of an interdisciplinary lecture on the subject, which in turn, is in an accessible and clear language to the teacher. This class has been developed for teaching steps, in which the latter is performed using Excel software as an auxiliary tool. For a deeper attachment content, we enumerated the end of class several practical exercises.
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spelling info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisThe set straight by the least squares method and didactic sections of LSQ solution for high schoolO ajuste de retas pelo mÃtodo dos mÃnimos quadrados e secÃÃes didÃticas de soluÃÃo LSQ para o ensino mÃdio2015-09-26JÃnio Moreira de Alencar00778513319http://lattes.cnpq.br/1832229915103950 Maria Silvana Alcantara Costa81221673300http://lattes.cnpq.br/4616262586408783MÃrio de Assis Oliveira25944940387http://lattes.cnpq.br/803809841820182802236741332http://lattes.cnpq.br/0784216120850547Antonio Everton Sousa da SilvaUniversidade Federal do CearÃPrograma de PÃs-GraduaÃÃo em MatemÃtica em Rede Nacional (PROFMAT)UFCBRretaajuste curvastraight setting curveMATEMATICATry to represent a line through the data of an experiment, so that it can draw inferences,enables the experience develop important hypothesis about a phenomenon. This work aims to present the method of least squares as a way to find the line that best fits a set of points. For development of this research, it was decided to do a whole literature, allowing to make theoretical survey about some concepts and differential calculus demonstrations, analytical geometry on the straight and linear algebra, as yet, define the method of least squares and apply LSQ solution to resolve an impossible system in the usual sense. Also explored in this study using Excel software as a teaching support tool and its use in the classroom. We finish with a hint of an interdisciplinary lecture on the subject, which in turn, is in an accessible and clear language to the teacher. This class has been developed for teaching steps, in which the latter is performed using Excel software as an auxiliary tool. For a deeper attachment content, we enumerated the end of class several practical exercises. Representar atravÃs de uma reta os dados de um experimento de modo que possa fazer inferÃncias, possibilita,ao experimentar, elaborar hipÃteses importantes sobre um determinado fenÃmeno. Este trabalho tem por objetivo apresentar o mÃtodo dos MÃnimos Quadrados como caminho para encontrar a reta que mais se ajusta a um conjunto de dados. Para o desenvolvimento desta investigaÃÃo, optou-se por fazer uma pesquisa inteiramente bibliogrÃfica, permitindo realizar um levantamento teÃrico acerca de alguns conceitos e demonstraÃÃes de CÃlculo Diferencial, Geometria AnalÃtica na Reta e Ãlgebra Linear, como ainda, definir o mÃtodo dos mÃnimos quadrados e aplicar a soluÃÃo LSQ na resoluÃÃo de um sistema impossÃvel no sentido usual. TambÃm se explorou neste estudo o uso Software Excel como ferramenta de apoio didÃtico e sua aplicabilidade em sala de aula. Finaliza-se com sugestÃo de aula interdisciplinar sobre o tema, que por sua vez, està em uma linguagem acessÃvel e clara ao professor. Essa aula foi desenvolvida em etapas didÃticas, na qual a Ãltima, utiliza-se o Software Excel como ferramenta auxiliar. Na perspectiva de uma fixaÃÃo mais profunda do conteÃdo, enumeramos ao final da aula,vÃrios exercÃcios de aplicaÃÃo. CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=15438application/pdfinfo:eu-repo/semantics/openAccessporreponame:Biblioteca Digital de Teses e Dissertações da UFCinstname:Universidade Federal do Cearáinstacron:UFC2019-01-21T11:28:37Zmail@mail.com -
dc.title.en.fl_str_mv The set straight by the least squares method and didactic sections of LSQ solution for high school
dc.title.alternative.pt.fl_str_mv O ajuste de retas pelo mÃtodo dos mÃnimos quadrados e secÃÃes didÃticas de soluÃÃo LSQ para o ensino mÃdio
title The set straight by the least squares method and didactic sections of LSQ solution for high school
spellingShingle The set straight by the least squares method and didactic sections of LSQ solution for high school
Antonio Everton Sousa da Silva
reta
ajuste
curva
straight
setting
curve
MATEMATICA
title_short The set straight by the least squares method and didactic sections of LSQ solution for high school
title_full The set straight by the least squares method and didactic sections of LSQ solution for high school
title_fullStr The set straight by the least squares method and didactic sections of LSQ solution for high school
title_full_unstemmed The set straight by the least squares method and didactic sections of LSQ solution for high school
title_sort The set straight by the least squares method and didactic sections of LSQ solution for high school
author Antonio Everton Sousa da Silva
author_facet Antonio Everton Sousa da Silva
author_role author
dc.contributor.advisor1.fl_str_mv JÃnio Moreira de Alencar
dc.contributor.advisor1ID.fl_str_mv 00778513319
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1832229915103950
dc.contributor.referee1.fl_str_mv Maria Silvana Alcantara Costa
dc.contributor.referee1ID.fl_str_mv 81221673300
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/4616262586408783
dc.contributor.referee2.fl_str_mv MÃrio de Assis Oliveira
dc.contributor.referee2ID.fl_str_mv 25944940387
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/8038098418201828
dc.contributor.authorID.fl_str_mv 02236741332
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0784216120850547
dc.contributor.author.fl_str_mv Antonio Everton Sousa da Silva
contributor_str_mv JÃnio Moreira de Alencar
Maria Silvana Alcantara Costa
MÃrio de Assis Oliveira
dc.subject.por.fl_str_mv reta
ajuste
curva
topic reta
ajuste
curva
straight
setting
curve
MATEMATICA
dc.subject.eng.fl_str_mv straight
setting
curve
dc.subject.cnpq.fl_str_mv MATEMATICA
dc.description.sponsorship.fl_txt_mv CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior
dc.description.abstract.por.fl_txt_mv Try to represent a line through the data of an experiment, so that it can draw inferences,enables the experience develop important hypothesis about a phenomenon. This work aims to present the method of least squares as a way to find the line that best fits a set of points. For development of this research, it was decided to do a whole literature, allowing to make theoretical survey about some concepts and differential calculus demonstrations, analytical geometry on the straight and linear algebra, as yet, define the method of least squares and apply LSQ solution to resolve an impossible system in the usual sense. Also explored in this study using Excel software as a teaching support tool and its use in the classroom. We finish with a hint of an interdisciplinary lecture on the subject, which in turn, is in an accessible and clear language to the teacher. This class has been developed for teaching steps, in which the latter is performed using Excel software as an auxiliary tool. For a deeper attachment content, we enumerated the end of class several practical exercises.
Representar atravÃs de uma reta os dados de um experimento de modo que possa fazer inferÃncias, possibilita,ao experimentar, elaborar hipÃteses importantes sobre um determinado fenÃmeno. Este trabalho tem por objetivo apresentar o mÃtodo dos MÃnimos Quadrados como caminho para encontrar a reta que mais se ajusta a um conjunto de dados. Para o desenvolvimento desta investigaÃÃo, optou-se por fazer uma pesquisa inteiramente bibliogrÃfica, permitindo realizar um levantamento teÃrico acerca de alguns conceitos e demonstraÃÃes de CÃlculo Diferencial, Geometria AnalÃtica na Reta e Ãlgebra Linear, como ainda, definir o mÃtodo dos mÃnimos quadrados e aplicar a soluÃÃo LSQ na resoluÃÃo de um sistema impossÃvel no sentido usual. TambÃm se explorou neste estudo o uso Software Excel como ferramenta de apoio didÃtico e sua aplicabilidade em sala de aula. Finaliza-se com sugestÃo de aula interdisciplinar sobre o tema, que por sua vez, està em uma linguagem acessÃvel e clara ao professor. Essa aula foi desenvolvida em etapas didÃticas, na qual a Ãltima, utiliza-se o Software Excel como ferramenta auxiliar. Na perspectiva de uma fixaÃÃo mais profunda do conteÃdo, enumeramos ao final da aula,vÃrios exercÃcios de aplicaÃÃo.
description Try to represent a line through the data of an experiment, so that it can draw inferences,enables the experience develop important hypothesis about a phenomenon. This work aims to present the method of least squares as a way to find the line that best fits a set of points. For development of this research, it was decided to do a whole literature, allowing to make theoretical survey about some concepts and differential calculus demonstrations, analytical geometry on the straight and linear algebra, as yet, define the method of least squares and apply LSQ solution to resolve an impossible system in the usual sense. Also explored in this study using Excel software as a teaching support tool and its use in the classroom. We finish with a hint of an interdisciplinary lecture on the subject, which in turn, is in an accessible and clear language to the teacher. This class has been developed for teaching steps, in which the latter is performed using Excel software as an auxiliary tool. For a deeper attachment content, we enumerated the end of class several practical exercises.
publishDate 2015
dc.date.issued.fl_str_mv 2015-09-26
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
status_str publishedVersion
format masterThesis
dc.identifier.uri.fl_str_mv http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=15438
url http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=15438
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 CearÃ
dc.publisher.program.fl_str_mv Programa de PÃs-GraduaÃÃo em MatemÃtica em Rede Nacional (PROFMAT)
dc.publisher.initials.fl_str_mv UFC
dc.publisher.country.fl_str_mv BR
publisher.none.fl_str_mv Universidade Federal do CearÃ
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da UFC
instname:Universidade Federal do Ceará
instacron:UFC
reponame_str Biblioteca Digital de Teses e Dissertações da UFC
collection Biblioteca Digital de Teses e Dissertações da UFC
instname_str Universidade Federal do Ceará
instacron_str UFC
institution UFC
repository.name.fl_str_mv -
repository.mail.fl_str_mv mail@mail.com
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