Lugar geométrico : uma abordagem com geometria dinâmica

Detalhes bibliográficos
Autor(a) principal: BANDIM, Ronaldo Gomes
Data de Publicação: 2016
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/tede2/7909
Resumo: The aim of this study was to explore the effects of dynamic geometry in situations of learning the concept of Locus with students of the 8th year of Elementary School of the Military School of Recife. We proposed five activities that focused on building situations in which the concept of locus was required. The students used the software CABRI, by which we sought to understand what influence this tool (from the dynamic geometry effects it provides) has in relation to the use of design tools such as ruler and compass, still valued by many teachers. The work rescues foundation elements of some topics of the history of ancient Greek geometry, through the classic problems rather discussed in academia. The activities were applied with 30 selected students and focused on knowledge related to constructions with ruler and compass which explore the concept of Locus. The activities were similar to those presented in the proposed exercises of the Mathematics textbooks of Elementary School. The activities took place in the computer lab of the school and were applied by the researcher. Students, in each of the activities, should hold notes on the knowledge manipulated to perform them. In the end, we presented the activities of the students, followed by analysis and its results. As a final result, we found that the activities applied showed the importance of Dynamic Geometry in the learning process concerning the investigation of the concept of Locus. It can be seen, in some cases, a strengthening of the thought of the student for what they imagine or foresee happening in the simulation phenomenon generated by the software; as in other cases, students seem to find assurance that the simulation produced in the software will give them a compelling understanding of the solution of the problem.
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spelling NASCIMENTO, Ross Alves doNASCIMENTO, Ross Alves doOLIVEIRA, Glauco Reinaldo Ferreira deSILVA, Adriano Regis Melo Rodrigues daBANDIM, Ronaldo Gomes2019-04-02T13:09:50Z2016-08-26BANDIM, Ronaldo Gomes. Lugar geométrico : uma abordagem com geometria dinâmica. 2016. 57 f. Dissertação (Programa de Pós-Graduação em Matemática (PROFMAT)) - Universidade Federal Rural de Pernambuco, Recife.http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/7909The aim of this study was to explore the effects of dynamic geometry in situations of learning the concept of Locus with students of the 8th year of Elementary School of the Military School of Recife. We proposed five activities that focused on building situations in which the concept of locus was required. The students used the software CABRI, by which we sought to understand what influence this tool (from the dynamic geometry effects it provides) has in relation to the use of design tools such as ruler and compass, still valued by many teachers. The work rescues foundation elements of some topics of the history of ancient Greek geometry, through the classic problems rather discussed in academia. The activities were applied with 30 selected students and focused on knowledge related to constructions with ruler and compass which explore the concept of Locus. The activities were similar to those presented in the proposed exercises of the Mathematics textbooks of Elementary School. The activities took place in the computer lab of the school and were applied by the researcher. Students, in each of the activities, should hold notes on the knowledge manipulated to perform them. In the end, we presented the activities of the students, followed by analysis and its results. As a final result, we found that the activities applied showed the importance of Dynamic Geometry in the learning process concerning the investigation of the concept of Locus. It can be seen, in some cases, a strengthening of the thought of the student for what they imagine or foresee happening in the simulation phenomenon generated by the software; as in other cases, students seem to find assurance that the simulation produced in the software will give them a compelling understanding of the solution of the problem.O objetivo desse trabalho foi explorar os efeitos da geometria dinâmica em situações de aprendizagem do conceito de Lugar Geométrico com estudantes do 8 Ano do Ensino Fundamental do Colégio Militar do Recife. Propomos cinco atividades que focavam na construção de situações em que o conceito de lugar geométrico era requisitado. Os estudantes usaram o software CABRI, no qual buscávamos entender que influência dessa ferramenta a partir dos efeitos de geometria dinâmica que ele proporciona em relação ao uso dos utensílios de desenho ‘ régua e compasso’ ainda valorizado por muitos professores. O trabalho resgata elementos de fundamentação de alguns tópicos da história da geometria Grega antiga, passando pelos problemas clássicos bastante discutidos no meio acadêmico. As atividades foram trabalhadas com 30 estudantes selecionados e focavam em saberes relativos a construções com régua e compasso que exploram o conceito de Lugar Geométrico. As atividades eram semelhantes àquelas apresentadas em exercícios propostos nos livros didáticos de Matemática do Ensino Fundamental. As atividades ocorreram no laboratório de informática do colégio e foram aplicadas pelo pesquisador. Os estudantes, em cada uma das atividades, deveriam realizar anotações sobre o conhecimento que manipulavam para realizá-las. No final, apresentamos as atividades realizadas pelos estudantes, seguida de análises e de seus resultados. Como resultado final, verificamos que as atividades trabalhadas mostraram a importância da Geometria Dinâmica no processo de aprendizagem relativo a investigação do conceito de Lugar Geométrico. Percebe-se em alguns casos, um reforço ao pensamento do estudante para o que imaginam ou preveem acontecer no fenômeno de simulação gerado pelo software, já em outros casos, os estudantes parecem encontrar segurança de que a simulação produzida no software lhes dará uma compreensão convincente no entendimento da solução do problema.Submitted by Mario BC (mario@bc.ufrpe.br) on 2019-04-02T13:09:50Z No. of bitstreams: 1 Ronaldo Gomes Bandim.pdf: 3184565 bytes, checksum: 21c640e833058d7b7de34ed6585a2bbb (MD5)Made available in DSpace on 2019-04-02T13:09:50Z (GMT). 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dc.title.por.fl_str_mv Lugar geométrico : uma abordagem com geometria dinâmica
title Lugar geométrico : uma abordagem com geometria dinâmica
spellingShingle Lugar geométrico : uma abordagem com geometria dinâmica
BANDIM, Ronaldo Gomes
Geometria dinâmica
Lugar geométrico
Ensino de matemática
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Lugar geométrico : uma abordagem com geometria dinâmica
title_full Lugar geométrico : uma abordagem com geometria dinâmica
title_fullStr Lugar geométrico : uma abordagem com geometria dinâmica
title_full_unstemmed Lugar geométrico : uma abordagem com geometria dinâmica
title_sort Lugar geométrico : uma abordagem com geometria dinâmica
author BANDIM, Ronaldo Gomes
author_facet BANDIM, Ronaldo Gomes
author_role author
dc.contributor.advisor1.fl_str_mv NASCIMENTO, Ross Alves do
dc.contributor.referee1.fl_str_mv NASCIMENTO, Ross Alves do
dc.contributor.referee2.fl_str_mv OLIVEIRA, Glauco Reinaldo Ferreira de
dc.contributor.referee3.fl_str_mv SILVA, Adriano Regis Melo Rodrigues da
dc.contributor.author.fl_str_mv BANDIM, Ronaldo Gomes
contributor_str_mv NASCIMENTO, Ross Alves do
NASCIMENTO, Ross Alves do
OLIVEIRA, Glauco Reinaldo Ferreira de
SILVA, Adriano Regis Melo Rodrigues da
dc.subject.por.fl_str_mv Geometria dinâmica
Lugar geométrico
Ensino de matemática
topic Geometria dinâmica
Lugar geométrico
Ensino de matemática
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description The aim of this study was to explore the effects of dynamic geometry in situations of learning the concept of Locus with students of the 8th year of Elementary School of the Military School of Recife. We proposed five activities that focused on building situations in which the concept of locus was required. The students used the software CABRI, by which we sought to understand what influence this tool (from the dynamic geometry effects it provides) has in relation to the use of design tools such as ruler and compass, still valued by many teachers. The work rescues foundation elements of some topics of the history of ancient Greek geometry, through the classic problems rather discussed in academia. The activities were applied with 30 selected students and focused on knowledge related to constructions with ruler and compass which explore the concept of Locus. The activities were similar to those presented in the proposed exercises of the Mathematics textbooks of Elementary School. The activities took place in the computer lab of the school and were applied by the researcher. Students, in each of the activities, should hold notes on the knowledge manipulated to perform them. In the end, we presented the activities of the students, followed by analysis and its results. As a final result, we found that the activities applied showed the importance of Dynamic Geometry in the learning process concerning the investigation of the concept of Locus. It can be seen, in some cases, a strengthening of the thought of the student for what they imagine or foresee happening in the simulation phenomenon generated by the software; as in other cases, students seem to find assurance that the simulation produced in the software will give them a compelling understanding of the solution of the problem.
publishDate 2016
dc.date.issued.fl_str_mv 2016-08-26
dc.date.accessioned.fl_str_mv 2019-04-02T13:09:50Z
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dc.identifier.citation.fl_str_mv BANDIM, Ronaldo Gomes. Lugar geométrico : uma abordagem com geometria dinâmica. 2016. 57 f. Dissertação (Programa de Pós-Graduação em Matemática (PROFMAT)) - Universidade Federal Rural de Pernambuco, Recife.
dc.identifier.uri.fl_str_mv http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/7909
identifier_str_mv BANDIM, Ronaldo Gomes. Lugar geométrico : uma abordagem com geometria dinâmica. 2016. 57 f. Dissertação (Programa de Pós-Graduação em Matemática (PROFMAT)) - Universidade Federal Rural de Pernambuco, Recife.
url http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/7909
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