Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva

Detalhes bibliográficos
Ano de defesa: 2018
Autor(a) principal: Caetano, Danilo Borges lattes
Orientador(a): Civardi, Jaqueline Araújo lattes
Banca de defesa: Civardi, Jaqueline Araújo lattes, Kranz, Cláudia Rosana, Moraes, Moema Gomes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
dARK ID: ark:/38995/0013000007xp4
Idioma: por
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em Ensino na Educação Básica (CEPAE)
Departamento: Centro de Ensino e Pesquisa Aplicada à Educação - CEPAE (RG)
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/8597
Resumo: This work aimed to develop and investigate strategies and mediations for the teaching of contents of Flat Geometry in light of the Historical-Cultural Theory and the Universal Pedagogical Design focused on Inclusive Mathematical Education. To achieve this goal, we developed a teaching and learning project with the collaboration of the regent teacher in which its application sought to answer the following question: What are the characteristics that should be observed in the definition of teaching strategies developed according to the Universal Pedagogical Design lead to an Inclusive Mathematical Education in the teaching of areas and perimeter of flat figures in the context of basic education? The Historical-Cultural Theory of Vigotiski (1993), complemented by Leontiev's Theory of Human Activity (1978) and The Theory of Learning Activity in the child in Galperin (1987) are some of the theoretical presuppositions that subsidize research and pedagogical actions. The elaboration of pedagogical strategies and instruments are also based on the concept of Universal Pedagogical Design of Kranz (2015). To reach the proposed objectives, we adopted the qualitative approach, using techniques and instruments such as: participant observation, field diary, structured interview, audio and video recording and student and teacher registration. The characteristics showed us: a) The recognition of the importance of the planning and the use of the procedures in the development of a pedagogical activity helped the students to find reasons to participate in the activity. The identification of these elements are indications that the proposal elaborated managed to show the objective of the activity. b) The use of activities in groups promoted a greater interaction between the students and motivated them to participates in the activities. c) The use of the pedagogical tools from the perspective of the DUP allowed all students to participate in the activity in order to create strategies to solve the problems and interact among the colleagues. d) The use of the pedagogical tools elaborated from the perspective of the DUP provided the students' learning of the concepts of area and perimeter. e) The use of psychological instruments by the teachers in the learning activity, propitiated mediating actions that fostered in the students aspects of an intuitive reasoning in the formulation of the concepts of area and perimeter. From specific cases and through mediating actions, it was possible to perceive the application of the concepts worked by students in a generalized way. e) The sense that the teachers gave the error of the students, in the activities of the Project of Teaching and Learning of Flat Geometry for All - PEAGPT, is that of a pedagogical component articulating the learning. f) The process of mediation performed with the Geoplane instrument presented a weakness in the strategy drawn to measure the length of the figures in which one side did not pass through two points of the same square.
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spelling Civardi, Jaqueline Araújohttp://lattes.cnpq.br/2625858563605104Civardi, Jaqueline Araújohttp://lattes.cnpq.br/2625858563605104Kranz, Cláudia RosanaMoraes, Moema Gomeshttp://lattes.cnpq.br/3357232534687167Caetano, Danilo Borges2018-06-27T11:01:48Z2018-06-04CAETANO, D. B. Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva. 2018. 193 f. Dissertação (Mestrado em Ensino na Educação Básica) - Universidade Federal de Goiás, Goiânia, 2018.http://repositorio.bc.ufg.br/tede/handle/tede/8597ark:/38995/0013000007xp4This work aimed to develop and investigate strategies and mediations for the teaching of contents of Flat Geometry in light of the Historical-Cultural Theory and the Universal Pedagogical Design focused on Inclusive Mathematical Education. To achieve this goal, we developed a teaching and learning project with the collaboration of the regent teacher in which its application sought to answer the following question: What are the characteristics that should be observed in the definition of teaching strategies developed according to the Universal Pedagogical Design lead to an Inclusive Mathematical Education in the teaching of areas and perimeter of flat figures in the context of basic education? The Historical-Cultural Theory of Vigotiski (1993), complemented by Leontiev's Theory of Human Activity (1978) and The Theory of Learning Activity in the child in Galperin (1987) are some of the theoretical presuppositions that subsidize research and pedagogical actions. The elaboration of pedagogical strategies and instruments are also based on the concept of Universal Pedagogical Design of Kranz (2015). To reach the proposed objectives, we adopted the qualitative approach, using techniques and instruments such as: participant observation, field diary, structured interview, audio and video recording and student and teacher registration. The characteristics showed us: a) The recognition of the importance of the planning and the use of the procedures in the development of a pedagogical activity helped the students to find reasons to participate in the activity. The identification of these elements are indications that the proposal elaborated managed to show the objective of the activity. b) The use of activities in groups promoted a greater interaction between the students and motivated them to participates in the activities. c) The use of the pedagogical tools from the perspective of the DUP allowed all students to participate in the activity in order to create strategies to solve the problems and interact among the colleagues. d) The use of the pedagogical tools elaborated from the perspective of the DUP provided the students' learning of the concepts of area and perimeter. e) The use of psychological instruments by the teachers in the learning activity, propitiated mediating actions that fostered in the students aspects of an intuitive reasoning in the formulation of the concepts of area and perimeter. From specific cases and through mediating actions, it was possible to perceive the application of the concepts worked by students in a generalized way. e) The sense that the teachers gave the error of the students, in the activities of the Project of Teaching and Learning of Flat Geometry for All - PEAGPT, is that of a pedagogical component articulating the learning. f) The process of mediation performed with the Geoplane instrument presented a weakness in the strategy drawn to measure the length of the figures in which one side did not pass through two points of the same square.Este trabalho teve como objetivo desenvolver e investigar estratégias e mediações para o ensino de conteúdos de Geometria Plana à luz da Teoria Histório-Cultural e do Desenho Universal Pedagógico voltada para a Educação Matemática Inclusiva. Para alcançar tal objetivo, desenvolvemos, com colaboração da professora regente, um projeto de ensino e aprendizagem em que sua aplicação procurou responder a seguinte questão: Quais são as características que devem ser observadas na definição de estratégias de ensino desenvolvidas segundo o Desenho Universal Pedagógico que levam a uma Educação Matemática Inclusiva no ensino de áreas e perímetro de figuras planas, no contexto da educação básica? A Teoria Histório-Cultural de Vigotiski (1993), complementada pela Teoria da Atividade Humana de Leontiev (1978) e a Teoria da Atividade de Aprendizagem na criança em Galperin (1987) são alguns dos pressupostos teóricos que subsidiam a investigação e as ações pedagógicas. A elaboração das estratégias e instrumentos pedagógicos estão fundamentadas também no conceito Desenho Universal Pedagógico de Kranz (2015). Para o alcance dos objetivos propostos adotamos a abordagem qualitativa, utilizando técnicas e instrumentos tais como: observação participante, diário de campo, entrevista estruturada, gravação de áudio e vídeo e registro dos alunos e professoras. As características nos mostraram: a) O reconhecimento da importância do planejamento e do uso dos procedimentos no desenvolvimento de uma atividade pedagógica ajudaram os educandos a encontrarem motivos para participarem da atividade. A identificação desses elementos são indícios de que a proposta elaborada conseguiu mostrar o objetivo da atividade. b) A utilização de atividades em grupos promoveu uma maior interação entre os educandos e os motivaram para participarem das atividades. c) A utilização dos instrumentos pedagógicos na perspectiva do DUP, permitiu que todos educandos participassem da atividade de modo a criarem estratégias para resolverem os problemas e interagiram entre os colegas. d) O uso dos instrumentos pedagógicos elaborados na perspectiva do DUP propiciou a aprendizagem dos conceitos de área e perímetro pelos alunos. e) A utilização de instrumentos psicológicos pelos docentes na atividade de aprendizagem, propiciaram ações mediadoras que potenciaram nos educandos aspectos de um raciocínio intuitivo na formulação dos conceitos de área e perímetro. A partir de casos específicos e por meio de ações mediadoras, foi possível perceber a aplicação dos conceitos trabalhados pelos educandos de forma generalizada. e) O sentido que os professores deram ao erro dos alunos, nas atividades do Projeto de Ensino e Aprendizagem de Geometria Plana para Todos - PEAGPT, é o de um componente pedagógico articulador da aprendizagem. f) O processo de mediação realizado com o instrumento geoplano apresentou uma fragilidade na estratégia traçada para medir o comprimento das figuras em que um dos lados não passava por dois pontos do mesmo quadrado.application/pdfporUniversidade Federal de GoiásPrograma de Pós-graduação em Ensino na Educação Básica (CEPAE)UFGBrasilCentro de Ensino e Pesquisa Aplicada à Educação - CEPAE (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEnsino e aprendizagemEducação matemática inclusivaTeoria histórico-culturalDesenho universal pedagógicoTeaching and learningInclusive mathematical educationHistorical-cultural theoryUniversal pedagogical designEDUCACAO::ENSINO-APRENDIZAGEMEstratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusivaStrategies and meditations for the education of flat geometry in the light of universal pedagogical design in the perspective of inclusive mathematical educationinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-6760778910420212860600600600-2481939986799146269-4452917836576020174reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; 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dc.title.eng.fl_str_mv Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
dc.title.alternative.eng.fl_str_mv Strategies and meditations for the education of flat geometry in the light of universal pedagogical design in the perspective of inclusive mathematical education
title Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
spellingShingle Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
Caetano, Danilo Borges
Ensino e aprendizagem
Educação matemática inclusiva
Teoria histórico-cultural
Desenho universal pedagógico
Teaching and learning
Inclusive mathematical education
Historical-cultural theory
Universal pedagogical design
EDUCACAO::ENSINO-APRENDIZAGEM
title_short Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
title_full Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
title_fullStr Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
title_full_unstemmed Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
title_sort Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva
author Caetano, Danilo Borges
author_facet Caetano, Danilo Borges
author_role author
dc.contributor.advisor1.fl_str_mv Civardi, Jaqueline Araújo
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2625858563605104
dc.contributor.referee1.fl_str_mv Civardi, Jaqueline Araújo
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/2625858563605104
dc.contributor.referee2.fl_str_mv Kranz, Cláudia Rosana
dc.contributor.referee3.fl_str_mv Moraes, Moema Gomes
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/3357232534687167
dc.contributor.author.fl_str_mv Caetano, Danilo Borges
contributor_str_mv Civardi, Jaqueline Araújo
Civardi, Jaqueline Araújo
Kranz, Cláudia Rosana
Moraes, Moema Gomes
dc.subject.por.fl_str_mv Ensino e aprendizagem
Educação matemática inclusiva
Teoria histórico-cultural
Desenho universal pedagógico
topic Ensino e aprendizagem
Educação matemática inclusiva
Teoria histórico-cultural
Desenho universal pedagógico
Teaching and learning
Inclusive mathematical education
Historical-cultural theory
Universal pedagogical design
EDUCACAO::ENSINO-APRENDIZAGEM
dc.subject.eng.fl_str_mv Teaching and learning
Inclusive mathematical education
Historical-cultural theory
Universal pedagogical design
dc.subject.cnpq.fl_str_mv EDUCACAO::ENSINO-APRENDIZAGEM
description This work aimed to develop and investigate strategies and mediations for the teaching of contents of Flat Geometry in light of the Historical-Cultural Theory and the Universal Pedagogical Design focused on Inclusive Mathematical Education. To achieve this goal, we developed a teaching and learning project with the collaboration of the regent teacher in which its application sought to answer the following question: What are the characteristics that should be observed in the definition of teaching strategies developed according to the Universal Pedagogical Design lead to an Inclusive Mathematical Education in the teaching of areas and perimeter of flat figures in the context of basic education? The Historical-Cultural Theory of Vigotiski (1993), complemented by Leontiev's Theory of Human Activity (1978) and The Theory of Learning Activity in the child in Galperin (1987) are some of the theoretical presuppositions that subsidize research and pedagogical actions. The elaboration of pedagogical strategies and instruments are also based on the concept of Universal Pedagogical Design of Kranz (2015). To reach the proposed objectives, we adopted the qualitative approach, using techniques and instruments such as: participant observation, field diary, structured interview, audio and video recording and student and teacher registration. The characteristics showed us: a) The recognition of the importance of the planning and the use of the procedures in the development of a pedagogical activity helped the students to find reasons to participate in the activity. The identification of these elements are indications that the proposal elaborated managed to show the objective of the activity. b) The use of activities in groups promoted a greater interaction between the students and motivated them to participates in the activities. c) The use of the pedagogical tools from the perspective of the DUP allowed all students to participate in the activity in order to create strategies to solve the problems and interact among the colleagues. d) The use of the pedagogical tools elaborated from the perspective of the DUP provided the students' learning of the concepts of area and perimeter. e) The use of psychological instruments by the teachers in the learning activity, propitiated mediating actions that fostered in the students aspects of an intuitive reasoning in the formulation of the concepts of area and perimeter. From specific cases and through mediating actions, it was possible to perceive the application of the concepts worked by students in a generalized way. e) The sense that the teachers gave the error of the students, in the activities of the Project of Teaching and Learning of Flat Geometry for All - PEAGPT, is that of a pedagogical component articulating the learning. f) The process of mediation performed with the Geoplane instrument presented a weakness in the strategy drawn to measure the length of the figures in which one side did not pass through two points of the same square.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-06-27T11:01:48Z
dc.date.issued.fl_str_mv 2018-06-04
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv CAETANO, D. B. Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva. 2018. 193 f. Dissertação (Mestrado em Ensino na Educação Básica) - Universidade Federal de Goiás, Goiânia, 2018.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/8597
dc.identifier.dark.fl_str_mv ark:/38995/0013000007xp4
identifier_str_mv CAETANO, D. B. Estratégias e mediações para o ensino de geometria plana à luz do desenho universal pedagógico na perspectiva da educação matemática inclusiva. 2018. 193 f. Dissertação (Mestrado em Ensino na Educação Básica) - Universidade Federal de Goiás, Goiânia, 2018.
ark:/38995/0013000007xp4
url http://repositorio.bc.ufg.br/tede/handle/tede/8597
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600
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dc.relation.cnpq.fl_str_mv -4452917836576020174
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info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Ensino na Educação Básica (CEPAE)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Centro de Ensino e Pesquisa Aplicada à Educação - CEPAE (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFG
instname:Universidade Federal de Goiás (UFG)
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instname_str Universidade Federal de Goiás (UFG)
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