The set straight by the least squares method and didactic sections of LSQ solution for high school
Autor(a) principal: | |
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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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Biblioteca Digital de Teses e Dissertações da UFC |
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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 Cearà |
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 Cearà |
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 |
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Biblioteca Digital de Teses e Dissertações da UFC |
instname_str |
Universidade Federal do Ceará |
instacron_str |
UFC |
institution |
UFC |
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-
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repository.mail.fl_str_mv |
mail@mail.com |
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1643295211292459008 |