Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes

Detalhes bibliográficos
Autor(a) principal: Awila, Hakel Fernandes de
Data de Publicação: 2017
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
dARK ID: ark:/26339/00130000186st
Texto Completo: http://repositorio.ufsm.br/handle/1/13531
Resumo: This paper was based on the objective of investigating and verifying how much the applets produced with the software GeoGebra can contribute to make the area and volume calculation, of the principal figures studied during the Basic Education, enlightening. In order to verify and investigate these contributions, freshmen from Mathematics graduation course of the Federal University of Santa Maria were invited to participate in weekly meetings aiming the study of the contents referred. In all, seven meetings were held, with an average duration of 2 hours each, in which it was executed a didactic sequence, following the Zabala’s principles (1998), that approached the area and volume contents combining the theories of significative learning and cognitive load. Before the study development, freshmen answered a questionnaire to verify their previous knowledges about these contents and a second questionnaire was answered at the end of the didactic sequence to, along with the research diary made during the planning execution, serve as data to the fulfillment of the objective. It was performed, therefore, a field research by means of an action research in the presence and participation of the researcher in the study environment (FLICK, 2004; FIORENTINI; LORENZATO, 2012). Analyzing the first questionnaire, it was possible to identify that freshmen worked these topics of Geometry in their basic formation by a mechanical learning, for they were answering the area and volume questions only with the application of formulas, incorrected, many times. Confronting the researcher’s diary and the second questionnaire with the first one, it was possible infer that, through the interaction developed with the applets in the didactic sequence, the students understood the justifications and/or certifications of the reasons why certain mathematical sentences express area and volume values.
id UFSM_e859c2b375e762a09cfa5be2c3d639bc
oai_identifier_str oai:repositorio.ufsm.br:1/13531
network_acronym_str UFSM
network_name_str Manancial - Repositório Digital da UFSM
repository_id_str
spelling Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumesAn analysis of GeoGebra’s contribution as an interactive resource for the areas and volumes studyÁreaVolumeÁrea e volumeSequência didáticaGeoGebraAreaVolumeArea and volumeDidactic sequenceGeoGebraCNPQ::CIENCIAS HUMANAS::EDUCACAOThis paper was based on the objective of investigating and verifying how much the applets produced with the software GeoGebra can contribute to make the area and volume calculation, of the principal figures studied during the Basic Education, enlightening. In order to verify and investigate these contributions, freshmen from Mathematics graduation course of the Federal University of Santa Maria were invited to participate in weekly meetings aiming the study of the contents referred. In all, seven meetings were held, with an average duration of 2 hours each, in which it was executed a didactic sequence, following the Zabala’s principles (1998), that approached the area and volume contents combining the theories of significative learning and cognitive load. Before the study development, freshmen answered a questionnaire to verify their previous knowledges about these contents and a second questionnaire was answered at the end of the didactic sequence to, along with the research diary made during the planning execution, serve as data to the fulfillment of the objective. It was performed, therefore, a field research by means of an action research in the presence and participation of the researcher in the study environment (FLICK, 2004; FIORENTINI; LORENZATO, 2012). Analyzing the first questionnaire, it was possible to identify that freshmen worked these topics of Geometry in their basic formation by a mechanical learning, for they were answering the area and volume questions only with the application of formulas, incorrected, many times. Confronting the researcher’s diary and the second questionnaire with the first one, it was possible infer that, through the interaction developed with the applets in the didactic sequence, the students understood the justifications and/or certifications of the reasons why certain mathematical sentences express area and volume values.Este trabalho partiu do objetivo em investigar e verificar o quanto applets produzidos com o software GeoGebra podem contribuir para tornar o cálculo de área e volume, das principais figuras estudadas durante a Educação Básica, esclarecedor. Para verificar e investigar tais contribuições, calouros do curso de graduação em Matemática da Universidade Federal de Santa Maria foram convidados para participar de encontros semanais, visando ao estudo dos referidos conteúdos. Ao todo, foram realizados sete encontros, com duração média de duas horas cada, em que se executou uma sequência didática, seguindo os princípios de Zabala (1998), que abordou os conteúdos de área e volume combinando as teorias da aprendizagem significativa e da carga cognitiva. Antes do desenvolvimento do estudo, os calouros responderam um questionário para verificar seus conhecimentos prévios acerca desses conteúdos, e um segundo questionário foi respondido ao final da sequência didática, para, junto com o diário de pesquisa produzido durante a execução do planejamento, servir de dados para o cumprimento do objetivo. Realizou-se, portanto, uma pesquisa de campo, por meio de uma pesquisa-ação, diante da presença e participação do pesquisador ao ambiente de estudo (FLICK, 2004; FIORENTINI; LORENZATO, 2012). Analisando o primeiro questionário, foi possível identificar que os calouros trabalharam esses tópicos de Geometria na sua formação básica por meio de uma aprendizagem mecânica, pois respondiam as questões de área e de volume tão somente com a aplicação de fórmulas, incorretas, muitas vezes. Confrontando o diário do pesquisador e o segundo questionário com o primeiro, foi possível inferir que, por meio da interação com os applets desenvolvida na sequência didática, os estudantes compreenderam as justificativas e/ou convencimentos dos motivos pelos quais determinadas sentenças matemáticas expressam os valores de área e volume.Universidade Federal de Santa MariaBrasilEducaçãoUFSMPrograma de Pós-Graduação em Educação Matemática e Ensino de FísicaCentro de Ciências Naturais e ExatasFajardo, Ricardohttp://lattes.cnpq.br/4796609278630063Bulegon, Ana Marlihttp://lattes.cnpq.br/1315096515847809Mathias, Carmen Vieirahttp://lattes.cnpq.br/0112509701698645Awila, Hakel Fernandes de2018-06-25T18:40:30Z2018-06-25T18:40:30Z2017-08-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/13531ark:/26339/00130000186stporAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessreponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSM2022-04-11T12:30:48Zoai:repositorio.ufsm.br:1/13531Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2022-04-11T12:30:48Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.none.fl_str_mv Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
An analysis of GeoGebra’s contribution as an interactive resource for the areas and volumes study
title Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
spellingShingle Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
Awila, Hakel Fernandes de
Área
Volume
Área e volume
Sequência didática
GeoGebra
Area
Volume
Area and volume
Didactic sequence
GeoGebra
CNPQ::CIENCIAS HUMANAS::EDUCACAO
title_short Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
title_full Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
title_fullStr Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
title_full_unstemmed Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
title_sort Uma análise da contribuição do GeoGebra como recurso interativo para o estudo de áreas e volumes
author Awila, Hakel Fernandes de
author_facet Awila, Hakel Fernandes de
author_role author
dc.contributor.none.fl_str_mv Fajardo, Ricardo
http://lattes.cnpq.br/4796609278630063
Bulegon, Ana Marli
http://lattes.cnpq.br/1315096515847809
Mathias, Carmen Vieira
http://lattes.cnpq.br/0112509701698645
dc.contributor.author.fl_str_mv Awila, Hakel Fernandes de
dc.subject.por.fl_str_mv Área
Volume
Área e volume
Sequência didática
GeoGebra
Area
Volume
Area and volume
Didactic sequence
GeoGebra
CNPQ::CIENCIAS HUMANAS::EDUCACAO
topic Área
Volume
Área e volume
Sequência didática
GeoGebra
Area
Volume
Area and volume
Didactic sequence
GeoGebra
CNPQ::CIENCIAS HUMANAS::EDUCACAO
description This paper was based on the objective of investigating and verifying how much the applets produced with the software GeoGebra can contribute to make the area and volume calculation, of the principal figures studied during the Basic Education, enlightening. In order to verify and investigate these contributions, freshmen from Mathematics graduation course of the Federal University of Santa Maria were invited to participate in weekly meetings aiming the study of the contents referred. In all, seven meetings were held, with an average duration of 2 hours each, in which it was executed a didactic sequence, following the Zabala’s principles (1998), that approached the area and volume contents combining the theories of significative learning and cognitive load. Before the study development, freshmen answered a questionnaire to verify their previous knowledges about these contents and a second questionnaire was answered at the end of the didactic sequence to, along with the research diary made during the planning execution, serve as data to the fulfillment of the objective. It was performed, therefore, a field research by means of an action research in the presence and participation of the researcher in the study environment (FLICK, 2004; FIORENTINI; LORENZATO, 2012). Analyzing the first questionnaire, it was possible to identify that freshmen worked these topics of Geometry in their basic formation by a mechanical learning, for they were answering the area and volume questions only with the application of formulas, incorrected, many times. Confronting the researcher’s diary and the second questionnaire with the first one, it was possible infer that, through the interaction developed with the applets in the didactic sequence, the students understood the justifications and/or certifications of the reasons why certain mathematical sentences express area and volume values.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-31
2018-06-25T18:40:30Z
2018-06-25T18:40:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufsm.br/handle/1/13531
dc.identifier.dark.fl_str_mv ark:/26339/00130000186st
url http://repositorio.ufsm.br/handle/1/13531
identifier_str_mv ark:/26339/00130000186st
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
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 Santa Maria
Brasil
Educação
UFSM
Programa de Pós-Graduação em Educação Matemática e Ensino de Física
Centro de Ciências Naturais e Exatas
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Brasil
Educação
UFSM
Programa de Pós-Graduação em Educação Matemática e Ensino de Física
Centro de Ciências Naturais e Exatas
dc.source.none.fl_str_mv reponame:Manancial - Repositório Digital da UFSM
instname:Universidade Federal de Santa Maria (UFSM)
instacron:UFSM
instname_str Universidade Federal de Santa Maria (UFSM)
instacron_str UFSM
institution UFSM
reponame_str Manancial - Repositório Digital da UFSM
collection Manancial - Repositório Digital da UFSM
repository.name.fl_str_mv Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)
repository.mail.fl_str_mv atendimento.sib@ufsm.br||tedebc@gmail.com
_version_ 1815172470480568320