Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental

Detalhes bibliográficos
Autor(a) principal: Casarin, Jones Ueder
Data de Publicação: 2023
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional Manancial UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/28185
Resumo: The present study deals with the mathematical content of geometric transformations, taking as a source of inspiration the fact that it is little explored, often due to gaps in the teacher's knowledge in relation to this topic. Therefore, the main objective is to investigate the importance of the content of geometric transformations within the development of students' geometric thinking, in order to identify practices that best meet the theoretical foundations related to the subject. In addition to bibliographical research, activities will also be applied and elaborated with digital technologies and works of art, to work with homothety and isometries, such as rotation, translation and reflection, in order to contemplate the skills required by the current National Common Curricular Base ( BNCC). The participants of the applications are 37 students from the 6th and 7th years of elementary school in a municipal public school in the interior of Rio Grande do Sul. It is concluded that from the application of the activities, objects proposed by the curricular guidelines were reached, in addition to obtaining extraordinary interaction of the students in the activities with the use of computational tools. It is hoped that this work can support fellow mathematics teachers and inspire them to continue creating activities and accept the theme as important for the development of student learning.
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spelling 2023-03-14T14:51:25Z2023-03-14T14:51:25Z2023-01-06http://repositorio.ufsm.br/handle/1/28185The present study deals with the mathematical content of geometric transformations, taking as a source of inspiration the fact that it is little explored, often due to gaps in the teacher's knowledge in relation to this topic. Therefore, the main objective is to investigate the importance of the content of geometric transformations within the development of students' geometric thinking, in order to identify practices that best meet the theoretical foundations related to the subject. In addition to bibliographical research, activities will also be applied and elaborated with digital technologies and works of art, to work with homothety and isometries, such as rotation, translation and reflection, in order to contemplate the skills required by the current National Common Curricular Base ( BNCC). The participants of the applications are 37 students from the 6th and 7th years of elementary school in a municipal public school in the interior of Rio Grande do Sul. It is concluded that from the application of the activities, objects proposed by the curricular guidelines were reached, in addition to obtaining extraordinary interaction of the students in the activities with the use of computational tools. It is hoped that this work can support fellow mathematics teachers and inspire them to continue creating activities and accept the theme as important for the development of student learning.O presente estudo trata do conteúdo matemático de transformações geométricas, trazendo como fonte de inspiração o fato de ser pouco explorado, muitas vezes devido às lacunas existentes no conhecimento do professor em relação a este tema. Diante disso, tem-se como principal objetivo investigar a importância do conteúdo de transformações geométricas dentro do desenvolvimento do pensamento geométrico dos estudantes, com a finalidade de identificar práticas que melhor atendam os fundamentos teóricos relacionados ao assunto. Além de pesquisas bibliográficas, também serão aplicadas e elaboradas atividades com tecnologias digitais e obras de arte, para trabalhar a homotetia e as isometrias, como a rotação, translação e a reflexão, de modo a contemplar as habilidades exigidas pela atual Base Nacional Comum Curricular (BNCC). Os participantes das aplicações são 37 alunos do 6º e 7º anos do Ensino Fundamental de uma escola pública municipal no interior do Rio Grande do Sul. Conclui-se que a partir da aplicação das atividades, objetos propostos pelas diretrizes curriculares foram atingidos, além de obter interação extraordinária dos alunos nas atividades com o uso de ferramentas computacionais. Espera-se, que o presente trabalho possa servir de apoio aos colegas professores de matemática e inspirá-los a seguir criando atividades e aceitar a temática como considerável para o desenvolvimento das aprendizagens dos estudantes.porUniversidade 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/openAccessTransformaçõesGeometriaRotaçãoTranslaçãoReflexãoTransformationsGeometryRotationTranslationReflectionCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICATransformações geométricas: ações e aplicações nos anos finais do ensino fundamentalGeometric transformations: actions and applications in the final years of elementary educationinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisBrum, Valéria de Fátima Maciel Cardosohttp://lattes.cnpq.br/7057570207918370Mathias, Carmen VieiraMeneghetti, Cinthya Maria SchneiderMagnago, Karine Faverzanihttp://lattes.cnpq.br/7495913489925777Casarin, Jones Ueder100100000008600b894b25f-281e-4c2a-ba24-4d78cd2c98529144be0f-d798-4f4d-9adc-9062ecd51e5a993a445b-de9e-4ab7-854b-c632a1436cbdb64edc1c-1d11-4e3c-8194-17af1e2775d9eff1755a-d8ee-47ce-ac53-a37d595b91f9reponame:Repositório Institucional Manancial UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALDIS_PPGPMRN_2023_CASARIN_JONES.pdfDIS_PPGPMRN_2023_CASARIN_JONES.pdfDissertação de Mestradoapplication/pdf2321287http://repositorio.ufsm.br/bitstream/1/28185/1/DIS_PPGPMRN_2023_CASARIN_JONES.pdf157fd6a9828e7f9fc8576e9aaf859f90MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.ufsm.br/bitstream/1/28185/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81956http://repositorio.ufsm.br/bitstream/1/28185/3/license.txt2f0571ecee68693bd5cd3f17c1e075dfMD531/281852023-03-14 11:51:25.33oai:repositorio.ufsm.br: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ório Institucionalhttp://repositorio.ufsm.br/PUBhttp://repositorio.ufsm.br/oai/requestouvidoria@ufsm.bropendoar:39132023-03-14T14:51:25Repositório Institucional Manancial UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.por.fl_str_mv Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
dc.title.alternative.eng.fl_str_mv Geometric transformations: actions and applications in the final years of elementary education
title Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
spellingShingle Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
Casarin, Jones Ueder
Transformações
Geometria
Rotação
Translação
Reflexão
Transformations
Geometry
Rotation
Translation
Reflection
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
title_full Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
title_fullStr Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
title_full_unstemmed Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
title_sort Transformações geométricas: ações e aplicações nos anos finais do ensino fundamental
author Casarin, Jones Ueder
author_facet Casarin, Jones Ueder
author_role author
dc.contributor.advisor1.fl_str_mv Brum, Valéria de Fátima Maciel Cardoso
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/7057570207918370
dc.contributor.referee1.fl_str_mv Mathias, Carmen Vieira
dc.contributor.referee2.fl_str_mv Meneghetti, Cinthya Maria Schneider
dc.contributor.referee3.fl_str_mv Magnago, Karine Faverzani
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7495913489925777
dc.contributor.author.fl_str_mv Casarin, Jones Ueder
contributor_str_mv Brum, Valéria de Fátima Maciel Cardoso
Mathias, Carmen Vieira
Meneghetti, Cinthya Maria Schneider
Magnago, Karine Faverzani
dc.subject.por.fl_str_mv Transformações
Geometria
Rotação
Translação
Reflexão
topic Transformações
Geometria
Rotação
Translação
Reflexão
Transformations
Geometry
Rotation
Translation
Reflection
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Transformations
Geometry
Rotation
Translation
Reflection
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
description The present study deals with the mathematical content of geometric transformations, taking as a source of inspiration the fact that it is little explored, often due to gaps in the teacher's knowledge in relation to this topic. Therefore, the main objective is to investigate the importance of the content of geometric transformations within the development of students' geometric thinking, in order to identify practices that best meet the theoretical foundations related to the subject. In addition to bibliographical research, activities will also be applied and elaborated with digital technologies and works of art, to work with homothety and isometries, such as rotation, translation and reflection, in order to contemplate the skills required by the current National Common Curricular Base ( BNCC). The participants of the applications are 37 students from the 6th and 7th years of elementary school in a municipal public school in the interior of Rio Grande do Sul. It is concluded that from the application of the activities, objects proposed by the curricular guidelines were reached, in addition to obtaining extraordinary interaction of the students in the activities with the use of computational tools. It is hoped that this work can support fellow mathematics teachers and inspire them to continue creating activities and accept the theme as important for the development of student learning.
publishDate 2023
dc.date.accessioned.fl_str_mv 2023-03-14T14:51:25Z
dc.date.available.fl_str_mv 2023-03-14T14:51:25Z
dc.date.issued.fl_str_mv 2023-01-06
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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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
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática em Rede Nacional
dc.publisher.initials.fl_str_mv UFSM
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Matemática
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
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