Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional

Detalhes bibliográficos
Autor(a) principal: SILVA, Ana Paula Bezerra da
Data de Publicação: 2008
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFRPE
Texto Completo: http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/5807
Resumo: By means of this experimental character research, the contribution of a teaching methodology developed was analyzed in order to foster a better student’comprehension of inverse order adding problem, based on Gérard Vergnaud’s Conceptual Fields Theory, focusing especially Adding Structures. The research corpus was made up of a fourth grade group of students, from an elementary school municipality system in the city of Carpina-PE. Twenty four students were selected who faced difficulties in relational calculus. Those students were divided into four distinct experimental groups that participated of diverse intervenient tasks: G1 – used math diagrams; G2 – used Carta Misteriosa game (search creation); G3 – used math diagrams and Carta Misteriosa game; G4 – controlled group. The students answered a pre-testing sample composed of problems whose initial values were unknown and unknown transformation problems, in situations of increasing and decreasing. Once the stage of intervenient tasks was done, students answered a post-testing with analogous problems as in the pre-testing. The results of data analysis, quantitative and qualitative, have indicated different performances within groups analyzed in the post-testing, thus, pinpointing that the group G3 with better scores was the one that went through a more meaningful contextualizing game intervention in addition to supportive symbolic representation systems – math diagram. The main contribution of this study emphasizes the necessity that teachers should create opportunities, so that students, get to know a better variety of situational and resource representations that will help students understand and develop the adding reasoning skills. All in all, based on this study, teachers can develop a math project which may turn classes into a more significant and interactive (as the game here indicated) tool through applying distinct forms of symbolic representation systems.
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spelling MENEZES, Josinalva EstácioBORBA, Rute Elizabete de Souza RosaBASTOS, Heloisa Flora Brasil NóbregaJÓFILI, Zélia Maria Soareshttp://lattes.cnpq.br/6321763081825208SILVA, Ana Paula Bezerra da2016-10-21T12:51:28Z2008-01-08SILVA, Ana Paula Bezerra da. Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional. 2008. 116 f. Dissertação (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife.http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/5807By means of this experimental character research, the contribution of a teaching methodology developed was analyzed in order to foster a better student’comprehension of inverse order adding problem, based on Gérard Vergnaud’s Conceptual Fields Theory, focusing especially Adding Structures. The research corpus was made up of a fourth grade group of students, from an elementary school municipality system in the city of Carpina-PE. Twenty four students were selected who faced difficulties in relational calculus. Those students were divided into four distinct experimental groups that participated of diverse intervenient tasks: G1 – used math diagrams; G2 – used Carta Misteriosa game (search creation); G3 – used math diagrams and Carta Misteriosa game; G4 – controlled group. The students answered a pre-testing sample composed of problems whose initial values were unknown and unknown transformation problems, in situations of increasing and decreasing. Once the stage of intervenient tasks was done, students answered a post-testing with analogous problems as in the pre-testing. The results of data analysis, quantitative and qualitative, have indicated different performances within groups analyzed in the post-testing, thus, pinpointing that the group G3 with better scores was the one that went through a more meaningful contextualizing game intervention in addition to supportive symbolic representation systems – math diagram. The main contribution of this study emphasizes the necessity that teachers should create opportunities, so that students, get to know a better variety of situational and resource representations that will help students understand and develop the adding reasoning skills. All in all, based on this study, teachers can develop a math project which may turn classes into a more significant and interactive (as the game here indicated) tool through applying distinct forms of symbolic representation systems.Nesta pesquisa, de caráter experimental, analisamos a contribuição de uma metodologia de ensino para o aprimoramento na compreensão dos alunos ao resolverem Problemas Aditivos de Ordem Inversa, baseada nas referências da Teoria dos Campos Conceituais de Gérard Vergnaud, focando em especial as Estruturas Aditivas. O universo da pesquisa foi constituído por alunos de uma 4ª série do Ensino Fundamental de uma escola da rede municipal em Carpina- PE. Foram selecionados 24 alunos que apresentavam dificuldades no cálculo relacional, divididos em quatro grupos que participaram de atividades de intervenção diferenciadas: G1 – uso do diagrama; G2 – uso do jogo Carta Misteriosa (criado pela pesquisadora); G3 – uso do jogo Carta Misteriosa mais diagrama; G4 – grupo de controle. Os alunos responderam a um pré-teste composto por problemas de valor inicial desconhecido e de transformação desconhecida, nas situações de acréscimo e decréscimo. Terminada a etapa das atividades de intervenção, os alunos responderam a um pós-teste com problemas análogos aos do pré-teste. Os resultados da análise dos dados, quantitativos e qualitativos, indicaram diferenças de desempenho dos grupos no pós-teste, apontando como melhor resultado o grupo G3 que teve uma intervenção com ênfase no contexto significativo de jogo, mais uma representação simbólica de suporte – diagrama. Como principal contribuição desta pesquisa, ressaltamos a necessidade dos professores oportunizarem aos alunos uma diversidade maior de situações e recursos representacionais que os ajudem a compreender e a desenvolver o raciocínio aditivo, buscando desenvolver um trabalho matemático significativo e interativo (como a proposta de um jogo), aliado ao uso de diferentes formas de representação simbólica.Submitted by (lucia.rodrigues@ufrpe.br) on 2016-10-21T12:51:28Z No. of bitstreams: 1 Ana Paula Bezerra da Silva.pdf: 887637 bytes, checksum: 976e8459e6530d2a1be94471e1e84c4f (MD5)Made available in DSpace on 2016-10-21T12:51:28Z (GMT). No. of bitstreams: 1 Ana Paula Bezerra da Silva.pdf: 887637 bytes, checksum: 976e8459e6530d2a1be94471e1e84c4f (MD5) Previous issue date: 2008-01-08application/pdfporUniversidade Federal Rural de PernambucoPrograma de Pós-Graduação em Ensino das CiênciasUFRPEBrasilDepartamento de EducaçãoResolução de problemasJogo matemáticoEnsino de matemáticaCIENCIAS HUMANAS::EDUCACAOResolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacionalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-6099596823942813476006006007124334461228751377-240345818910352367info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFRPEinstname:Universidade Federal Rural de Pernambuco (UFRPE)instacron:UFRPELICENSElicense.txtlicense.txttext/plain; charset=utf-82165http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/5807/1/license.txtbd3efa91386c1718a7f26a329fdcb468MD51ORIGINALAna Paula Bezerra da Silva.pdfAna Paula Bezerra da Silva.pdfapplication/pdf887637http://www.tede2.ufrpe.br:8080/tede2/bitstream/tede2/5807/2/Ana+Paula+Bezerra+da+Silva.pdf976e8459e6530d2a1be94471e1e84c4fMD52tede2/58072018-08-29 11:49:04.902oai:tede2: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Biblioteca Digital de Teses e Dissertaçõeshttp://www.tede2.ufrpe.br:8080/tede/PUBhttp://www.tede2.ufrpe.br:8080/oai/requestbdtd@ufrpe.br ||bdtd@ufrpe.bropendoar:2024-05-28T12:33:33.697862Biblioteca Digital de Teses e Dissertações da UFRPE - Universidade Federal Rural de Pernambuco (UFRPE)false
dc.title.por.fl_str_mv Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
title Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
spellingShingle Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
SILVA, Ana Paula Bezerra da
Resolução de problemas
Jogo matemático
Ensino de matemática
CIENCIAS HUMANAS::EDUCACAO
title_short Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
title_full Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
title_fullStr Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
title_full_unstemmed Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
title_sort Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional
author SILVA, Ana Paula Bezerra da
author_facet SILVA, Ana Paula Bezerra da
author_role author
dc.contributor.advisor1.fl_str_mv MENEZES, Josinalva Estácio
dc.contributor.referee1.fl_str_mv BORBA, Rute Elizabete de Souza Rosa
dc.contributor.referee2.fl_str_mv BASTOS, Heloisa Flora Brasil Nóbrega
dc.contributor.referee3.fl_str_mv JÓFILI, Zélia Maria Soares
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/6321763081825208
dc.contributor.author.fl_str_mv SILVA, Ana Paula Bezerra da
contributor_str_mv MENEZES, Josinalva Estácio
BORBA, Rute Elizabete de Souza Rosa
BASTOS, Heloisa Flora Brasil Nóbrega
JÓFILI, Zélia Maria Soares
dc.subject.por.fl_str_mv Resolução de problemas
Jogo matemático
Ensino de matemática
topic Resolução de problemas
Jogo matemático
Ensino de matemática
CIENCIAS HUMANAS::EDUCACAO
dc.subject.cnpq.fl_str_mv CIENCIAS HUMANAS::EDUCACAO
description By means of this experimental character research, the contribution of a teaching methodology developed was analyzed in order to foster a better student’comprehension of inverse order adding problem, based on Gérard Vergnaud’s Conceptual Fields Theory, focusing especially Adding Structures. The research corpus was made up of a fourth grade group of students, from an elementary school municipality system in the city of Carpina-PE. Twenty four students were selected who faced difficulties in relational calculus. Those students were divided into four distinct experimental groups that participated of diverse intervenient tasks: G1 – used math diagrams; G2 – used Carta Misteriosa game (search creation); G3 – used math diagrams and Carta Misteriosa game; G4 – controlled group. The students answered a pre-testing sample composed of problems whose initial values were unknown and unknown transformation problems, in situations of increasing and decreasing. Once the stage of intervenient tasks was done, students answered a post-testing with analogous problems as in the pre-testing. The results of data analysis, quantitative and qualitative, have indicated different performances within groups analyzed in the post-testing, thus, pinpointing that the group G3 with better scores was the one that went through a more meaningful contextualizing game intervention in addition to supportive symbolic representation systems – math diagram. The main contribution of this study emphasizes the necessity that teachers should create opportunities, so that students, get to know a better variety of situational and resource representations that will help students understand and develop the adding reasoning skills. All in all, based on this study, teachers can develop a math project which may turn classes into a more significant and interactive (as the game here indicated) tool through applying distinct forms of symbolic representation systems.
publishDate 2008
dc.date.issued.fl_str_mv 2008-01-08
dc.date.accessioned.fl_str_mv 2016-10-21T12:51:28Z
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dc.identifier.citation.fl_str_mv SILVA, Ana Paula Bezerra da. Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional. 2008. 116 f. Dissertação (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife.
dc.identifier.uri.fl_str_mv http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/5807
identifier_str_mv SILVA, Ana Paula Bezerra da. Resolução de problemas aditivos de ordem inversa: proposta de ensino em contexto significativo de jogo por meio de um suporte representacional. 2008. 116 f. Dissertação (Programa de Pós-Graduação em Ensino das Ciências) - Universidade Federal Rural de Pernambuco, Recife.
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