Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica

Detalhes bibliográficos
Autor(a) principal: Duarte, Ronan Cesar
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/7624
Resumo: This study aimed to answer the following research question: how students in good yield in the context SIMAVE mobilize semiotic representation registers on issues with algebraic content? The method chosen for this research was qualitative, case study technique. The uniqueness of this study is because the teacher-researcher teach math classes for students in the ninth year of primary school, subject participants, since the sixth grade. On the other hand, our students belong to a school context that has shown good results in the external evaluation system of Minas Gerais, since 2009. We developed and applied a test with students, composed of eight items with four alternatives each. In the resolutions ask the justification of reasoning as a means of access to the written production of our students. The quantitative performance of students revealed to us that our students use what they learn in math classes to develop into effective strategists in obtaining the correct alternative. In the qualitative performance, how the semiotic representation registers were mobilized is directly linked to the role played by this teacher-researcher in the classroom, that is, the written record as a way to express the reasoning is treated in our classes as part fundamental development of mathematics student activities. One of the research results showed that skills SIMAVE assessment matrix to identify the relationship between the algebraic and geometric representations of a first-degree equations system is necessary and sufficient to succeed in resolving issues of this evaluation. However, the written records of our students showed that this ability is insufficient when there is need to link the internal concepts to visual elements of the graph as the slope of the line in the Cartesian plane, for example, as a necessary element to the equation of the composition.
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spelling Duarte, Ronan CesarOliveira, Paulo Césarhttp://lattes.cnpq.br/7516513469811353http://lattes.cnpq.br/59565630060242346778fed8-e45d-414b-abca-997d1be461532016-10-04T17:55:52Z2016-10-04T17:55:52Z2015-04-23DUARTE, Ronan Cesar. Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica. 2015. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7624.https://repositorio.ufscar.br/handle/ufscar/7624This study aimed to answer the following research question: how students in good yield in the context SIMAVE mobilize semiotic representation registers on issues with algebraic content? The method chosen for this research was qualitative, case study technique. The uniqueness of this study is because the teacher-researcher teach math classes for students in the ninth year of primary school, subject participants, since the sixth grade. On the other hand, our students belong to a school context that has shown good results in the external evaluation system of Minas Gerais, since 2009. We developed and applied a test with students, composed of eight items with four alternatives each. In the resolutions ask the justification of reasoning as a means of access to the written production of our students. The quantitative performance of students revealed to us that our students use what they learn in math classes to develop into effective strategists in obtaining the correct alternative. In the qualitative performance, how the semiotic representation registers were mobilized is directly linked to the role played by this teacher-researcher in the classroom, that is, the written record as a way to express the reasoning is treated in our classes as part fundamental development of mathematics student activities. One of the research results showed that skills SIMAVE assessment matrix to identify the relationship between the algebraic and geometric representations of a first-degree equations system is necessary and sufficient to succeed in resolving issues of this evaluation. However, the written records of our students showed that this ability is insufficient when there is need to link the internal concepts to visual elements of the graph as the slope of the line in the Cartesian plane, for example, as a necessary element to the equation of the composition.Este trabalho buscou responder à seguinte questão de investigação: como alunos com bom rendimento no SIMAVE mobilizam registros de representação semiótica em questões com conteúdos algébricos? A opção metodológica para esta pesquisa foi qualitativa, na modalidade de estudo de caso. A singularidade deste estudo se faz pelo fato do professor-pesquisador ministrar aulas de matemática para os alunos do nono ano do Ensino Fundamental, sujeitos participantes da pesquisa, desde o sexto ano. Por outro lado, nossos alunos pertencem a um contexto escolar que tem apresentado bons resultados no sistema de avaliação externa de Minas Gerais, desde 2009. Elaboramos e aplicamos um teste com alunos, composto de oito itens com quatro alternativas cada um. Nas resoluções pedimos a justificativa do raciocínio como forma de acesso à produção escrita de nossos alunos. O desempenho quantitativo levantado através de análise de dados revelou-nos que nossos alunos utilizam aquilo que aprendem nas aulas de matemática para se desenvolverem como estrategistas eficazes na obtenção da alternativa correta. A forma como os registros de representação semiótica foram mobilizados está diretamente ligada ao papel exercido por este professor-pesquisador em sala de aula, ou seja, o registro escrito como forma de expressar o raciocínio, é tratado em nossas aulas como parte fundamental do desenvolvimento das atividades matemáticas dos alunos. Um dos resultados da pesquisa apontou que habilidades da matriz de avaliação do SIMAVE, como identificar a relação entre as representações algébrica e geométrica de um sistema de equações do primeiro grau, é necessário e suficiente para ter sucesso na resolução de questões desta avaliação. Porém, os registros escritos de nossos alunos apontaram que esta habilidade é insuficiente quando há necessidade de articular os conceitos internos aos elementos visuais do gráfico como a inclinação da reta no plano cartesiano, por exemplo, como elemento necessário para a composição da equação da reta.Não recebi financiamentoporUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Ensino de Ciências Exatas - PPGECEUFSCarÁlgebraSemióticaEnsino fundamentalAvaliaçãoSemiotic representation registersSIMAVEElementary schoolEvaluationCIENCIAS EXATAS E DA TERRADesempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semióticainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600fada32c5-be00-4dfc-8c58-fed70691665cinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissRCD.pdfDissRCD.pdfapplication/pdf2164679https://repositorio.ufscar.br/bitstream/ufscar/7624/1/DissRCD.pdfee61ffe9098cde6ad01e1d3acc9529eeMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/7624/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTDissRCD.pdf.txtDissRCD.pdf.txtExtracted texttext/plain214427https://repositorio.ufscar.br/bitstream/ufscar/7624/3/DissRCD.pdf.txt78aad696fe9f54970196a91ca2645dc7MD53THUMBNAILDissRCD.pdf.jpgDissRCD.pdf.jpgIM Thumbnailimage/jpeg9265https://repositorio.ufscar.br/bitstream/ufscar/7624/4/DissRCD.pdf.jpgf985cae11130b1aa1589518529bdb933MD54ufscar/76242023-09-18 18:30:51.23oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:30:51Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
title Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
spellingShingle Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
Duarte, Ronan Cesar
Álgebra
Semiótica
Ensino fundamental
Avaliação
Semiotic representation registers
SIMAVE
Elementary school
Evaluation
CIENCIAS EXATAS E DA TERRA
title_short Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
title_full Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
title_fullStr Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
title_full_unstemmed Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
title_sort Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica
author Duarte, Ronan Cesar
author_facet Duarte, Ronan Cesar
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/5956563006024234
dc.contributor.author.fl_str_mv Duarte, Ronan Cesar
dc.contributor.advisor1.fl_str_mv Oliveira, Paulo César
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/7516513469811353
dc.contributor.authorID.fl_str_mv 6778fed8-e45d-414b-abca-997d1be46153
contributor_str_mv Oliveira, Paulo César
dc.subject.por.fl_str_mv Álgebra
Semiótica
Ensino fundamental
Avaliação
topic Álgebra
Semiótica
Ensino fundamental
Avaliação
Semiotic representation registers
SIMAVE
Elementary school
Evaluation
CIENCIAS EXATAS E DA TERRA
dc.subject.eng.fl_str_mv Semiotic representation registers
SIMAVE
Elementary school
Evaluation
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA
description This study aimed to answer the following research question: how students in good yield in the context SIMAVE mobilize semiotic representation registers on issues with algebraic content? The method chosen for this research was qualitative, case study technique. The uniqueness of this study is because the teacher-researcher teach math classes for students in the ninth year of primary school, subject participants, since the sixth grade. On the other hand, our students belong to a school context that has shown good results in the external evaluation system of Minas Gerais, since 2009. We developed and applied a test with students, composed of eight items with four alternatives each. In the resolutions ask the justification of reasoning as a means of access to the written production of our students. The quantitative performance of students revealed to us that our students use what they learn in math classes to develop into effective strategists in obtaining the correct alternative. In the qualitative performance, how the semiotic representation registers were mobilized is directly linked to the role played by this teacher-researcher in the classroom, that is, the written record as a way to express the reasoning is treated in our classes as part fundamental development of mathematics student activities. One of the research results showed that skills SIMAVE assessment matrix to identify the relationship between the algebraic and geometric representations of a first-degree equations system is necessary and sufficient to succeed in resolving issues of this evaluation. However, the written records of our students showed that this ability is insufficient when there is need to link the internal concepts to visual elements of the graph as the slope of the line in the Cartesian plane, for example, as a necessary element to the equation of the composition.
publishDate 2015
dc.date.issued.fl_str_mv 2015-04-23
dc.date.accessioned.fl_str_mv 2016-10-04T17:55:52Z
dc.date.available.fl_str_mv 2016-10-04T17:55:52Z
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dc.identifier.citation.fl_str_mv DUARTE, Ronan Cesar. Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica. 2015. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7624.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/7624
identifier_str_mv DUARTE, Ronan Cesar. Desempenho em questões de álgebra do SIMAVE sob a pespectiva dos registros de representação semiótica. 2015. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7624.
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