Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental

Detalhes bibliográficos
Autor(a) principal: Miranda, Sílvia Andrea Alexandre
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/4460
Resumo: The present study aimed to analyze how an education that prioritizes tasks of exploratory- investigative nature can contribute to the generation and/or mobilization of geometric concepts in the 7th grade students of elementary school. More specifically, the tasks contained in this dissertation fieldwork, contemplated the learning of geometrical concepts involved in the composition of mosaics with regular polygons. The investigation of a qualitative nature, in the form of case study occurred in a public school in the town of Pilar do Sul, the state of São Paulo, where the information was produced and collected between the first and the second semester of 2013. The technique of triangulation of data involved audio, video and photographs records, students written records and observation notes of the participant teacher - researcher. To describe and analyze the process of students learning we support in Ponte (2009 ) and his various studies on exploratory and investigative tasks, in Fischbein (1993 ) with the theory of figural concepts and Tall (1995); who studied the phases of human activity and mathematical reasoning. The survey results allowed to identify the students progress and difficulties to explore the tasks over time they were performed. With the experiences, the students began to develop clearer written records and used a mathematical language with greater mastery of mathematical terms, in particular the geometry. Furthermore, they demonstrated appropriating and/or expand figural concepts like angles, straight, regular polygons and mobilized such knowledge during the exploration of the properties and relations of these objects.
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spelling Miranda, Sílvia Andrea AlexandreOliveira, Paulo Césarhttp://lattes.cnpq.br/7516513469811353http://lattes.cnpq.br/19597246258985862016-06-02T20:02:55Z2014-10-022016-06-02T20:02:55Z2014-05-15https://repositorio.ufscar.br/handle/ufscar/4460The present study aimed to analyze how an education that prioritizes tasks of exploratory- investigative nature can contribute to the generation and/or mobilization of geometric concepts in the 7th grade students of elementary school. More specifically, the tasks contained in this dissertation fieldwork, contemplated the learning of geometrical concepts involved in the composition of mosaics with regular polygons. The investigation of a qualitative nature, in the form of case study occurred in a public school in the town of Pilar do Sul, the state of São Paulo, where the information was produced and collected between the first and the second semester of 2013. The technique of triangulation of data involved audio, video and photographs records, students written records and observation notes of the participant teacher - researcher. To describe and analyze the process of students learning we support in Ponte (2009 ) and his various studies on exploratory and investigative tasks, in Fischbein (1993 ) with the theory of figural concepts and Tall (1995); who studied the phases of human activity and mathematical reasoning. The survey results allowed to identify the students progress and difficulties to explore the tasks over time they were performed. With the experiences, the students began to develop clearer written records and used a mathematical language with greater mastery of mathematical terms, in particular the geometry. Furthermore, they demonstrated appropriating and/or expand figural concepts like angles, straight, regular polygons and mobilized such knowledge during the exploration of the properties and relations of these objects.A presente pesquisa teve como objetivo, analisar como um ensino que prioriza tarefas de natureza exploratório-investigativas pode contribuir para a geração e/ou mobilização de conceitos geométricos em alunos do 7º ano do Ensino Fundamental. Mais especificamente, as tarefas contidas no trabalho de campo desta dissertação, contemplaram a aprendizagem de conceitos geométricos envolvidos na composição de mosaicos com polígonos regulares. A investigação de natureza qualitativa, na modalidade estudo de caso, ocorreu em uma escola pública estadual do município de Pilar do Sul, interior do Estado de São Paulo, sendo que as informações foram produzidas e coletadas entre o 1º e 2º semestre de 2013. A técnica da triangulação dos dados envolveu registros de áudio, vídeo, fotografias, registros escritos dos alunos e anotações da observação participante da professora-pesquisadora. Para descrever e analisar o processo de aprendizagem dos alunos nos apoiamos em Ponte (2009) e seus diversos estudos sobre tarefas exploratórias e investigativas, em Fischbein (1993) com a teoria dos conceitos figurais e Tall (1995); que estudou as fases da atividade humana e o raciocínio matemático. Os resultados da pesquisa permitiram identificar os avanços e dificuldades dos alunos ao explorarem as tarefas ao longo do tempo em que foram realizadas. Com as experiências vivenciadas, os alunos passaram a elaborar registros escritos mais claros e utilizaram a linguagem matemática com maior domínio de termos matemáticos, em especial, os geométricos. Além disso, demonstraram se apropriar e/ou ampliar conceitos figurais como ângulos, retas, polígonos regulares e mobilizaram tais conhecimentos durante a exploração das propriedades e relações desses objetos.application/pdfporUniversidade Federal de São CarlosPrograma de Pós-Graduação em Ensino de Ciências Exatas - PPGECEUFSCarBRGeometriaMosaicoEnsino fundamentalTarefa exploratório-investigativaMosaicElementary educationExploratory-investigative tasksGeometryCIENCIAS EXATAS E DA TERRAConstrução de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamentalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINAL6211.pdfapplication/pdf5914168https://{{ getenv "DSPACE_HOST" "repositorio.ufscar.br" }}/bitstream/ufscar/4460/1/6211.pdfbc000fa78546349db7cd749503debf84MD51TEXT6211.pdf.txt6211.pdf.txtExtracted texttext/plain0https://{{ getenv "DSPACE_HOST" "repositorio.ufscar.br" }}/bitstream/ufscar/4460/2/6211.pdf.txtd41d8cd98f00b204e9800998ecf8427eMD52THUMBNAIL6211.pdf.jpg6211.pdf.jpgIM Thumbnailimage/jpeg8089https://{{ getenv "DSPACE_HOST" "repositorio.ufscar.br" }}/bitstream/ufscar/4460/3/6211.pdf.jpg8906aea3590f2d204c250abc92ff9d28MD53ufscar/44602019-09-11 04:14:19.283oai:repositorio.ufscar.br:ufscar/4460Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222019-09-11T04:14:19Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
title Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
spellingShingle Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
Miranda, Sílvia Andrea Alexandre
Geometria
Mosaico
Ensino fundamental
Tarefa exploratório-investigativa
Mosaic
Elementary education
Exploratory-investigative tasks
Geometry
CIENCIAS EXATAS E DA TERRA
title_short Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
title_full Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
title_fullStr Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
title_full_unstemmed Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
title_sort Construção de mosaicos: uma análise por meio de tarefas exploratório-investigativas no 7°ano do ensino fundamental
author Miranda, Sílvia Andrea Alexandre
author_facet Miranda, Sílvia Andrea Alexandre
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/1959724625898586
dc.contributor.author.fl_str_mv Miranda, Sílvia Andrea Alexandre
dc.contributor.advisor1.fl_str_mv Oliveira, Paulo César
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/7516513469811353
contributor_str_mv Oliveira, Paulo César
dc.subject.por.fl_str_mv Geometria
Mosaico
Ensino fundamental
Tarefa exploratório-investigativa
topic Geometria
Mosaico
Ensino fundamental
Tarefa exploratório-investigativa
Mosaic
Elementary education
Exploratory-investigative tasks
Geometry
CIENCIAS EXATAS E DA TERRA
dc.subject.eng.fl_str_mv Mosaic
Elementary education
Exploratory-investigative tasks
Geometry
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA
description The present study aimed to analyze how an education that prioritizes tasks of exploratory- investigative nature can contribute to the generation and/or mobilization of geometric concepts in the 7th grade students of elementary school. More specifically, the tasks contained in this dissertation fieldwork, contemplated the learning of geometrical concepts involved in the composition of mosaics with regular polygons. The investigation of a qualitative nature, in the form of case study occurred in a public school in the town of Pilar do Sul, the state of São Paulo, where the information was produced and collected between the first and the second semester of 2013. The technique of triangulation of data involved audio, video and photographs records, students written records and observation notes of the participant teacher - researcher. To describe and analyze the process of students learning we support in Ponte (2009 ) and his various studies on exploratory and investigative tasks, in Fischbein (1993 ) with the theory of figural concepts and Tall (1995); who studied the phases of human activity and mathematical reasoning. The survey results allowed to identify the students progress and difficulties to explore the tasks over time they were performed. With the experiences, the students began to develop clearer written records and used a mathematical language with greater mastery of mathematical terms, in particular the geometry. Furthermore, they demonstrated appropriating and/or expand figural concepts like angles, straight, regular polygons and mobilized such knowledge during the exploration of the properties and relations of these objects.
publishDate 2014
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2016-06-02T20:02:55Z
dc.date.issued.fl_str_mv 2014-05-15
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