Experiência de atividades para o cálculo diferencial e integral com o software geogebra

Detalhes bibliográficos
Ano de defesa: 2011
Autor(a) principal: Amorim, Frank Victor
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Rio Grande do Norte
Brasil
UFRN
Programa de Pós-graduação em Ensino de Ciências Naturais e Matemática
Centro de Ciências Exatas e da Terra
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: https://repositorio.ufrn.br/handle/123456789/48265
Resumo: The discipline CDI I (Calculation Differential and Integral I) consists in the curricular structure of several areas as: Exact Sciences and of the Land; Technological; Biological and Humanistic. For there are difficulties with regard to CDI's Teaching Learning I, the present study has as thematic axis to seek to answer to the following matter: “How can the software utilization GeoGebra be used to a better Calculation I approach?”. Basing itself in this matter, the present work has the goal of elaborating activities sessions using the software GeoGebra concerning the main concepts of CDI I. Basing itself on resources offered by UFRN-Christmas (Federal University of Rio Grande do Norte - Native Campus), it elaborated activities sessions in the proposed investigative perspective. This work presents an activities sequence posts in sessions, in which the students work on couples or individually, to realize the functions initial concepts essence, iimits, derivatives and integral. After the accomplishment of a research accomplished close to the PROGRAD-UFRN (Pro- rectory of Graduation of the Federal University of Rio Grande do Norte), it chose a students' group who attended licenciatura in mathematics, for being, that course, one that they present íarger difficulties. These students were invited aleatoriamente take part herfrom encounters accomplished in the inverse turn in which the same studied. First it accomplished a Pilot, to be able to be analyzed better the proposal viability, as well as to accomplish improvements for the real. Like data collections instruments, they were used questionnaires answered by teachers and students, interviews accomplished informal after each encounter, reports performed by observant that were assisting in the experiment, sessions of answered activities and entregues, as well as the activities accomplished by the students in the Computer and entregues to the searching teacher. The sessions of applied activities helped to realize the improvements in the concepts comprehensions of CDI I by the students and teachers front to GeoGebra's Resources, mostly in the comprehension aspect propitiated by the visual and by means of the process of draging the illustrations in the Computer without occur losses in the structure of her constructions. It is worth point out that the software in himself has her limitations and that he does not do anything if the teacher does not have a good planning of his activities, as well as objective to are reached, clear and safe knowledge than is being taught and a software good knowledge. After the application of this product that the software was observed is of easy handling by students and teachers, it allows to the teacher who can detect better doubts and, still summarily, with regard to the student it noticed that they managed to relate better the graphic part with the algebraic.
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spelling Experiência de atividades para o cálculo diferencial e integral com o software geogebracálculo diferencial e Integralatividades investigativassoftware GeoGebraThe discipline CDI I (Calculation Differential and Integral I) consists in the curricular structure of several areas as: Exact Sciences and of the Land; Technological; Biological and Humanistic. For there are difficulties with regard to CDI's Teaching Learning I, the present study has as thematic axis to seek to answer to the following matter: “How can the software utilization GeoGebra be used to a better Calculation I approach?”. Basing itself in this matter, the present work has the goal of elaborating activities sessions using the software GeoGebra concerning the main concepts of CDI I. Basing itself on resources offered by UFRN-Christmas (Federal University of Rio Grande do Norte - Native Campus), it elaborated activities sessions in the proposed investigative perspective. This work presents an activities sequence posts in sessions, in which the students work on couples or individually, to realize the functions initial concepts essence, iimits, derivatives and integral. After the accomplishment of a research accomplished close to the PROGRAD-UFRN (Pro- rectory of Graduation of the Federal University of Rio Grande do Norte), it chose a students' group who attended licenciatura in mathematics, for being, that course, one that they present íarger difficulties. These students were invited aleatoriamente take part herfrom encounters accomplished in the inverse turn in which the same studied. First it accomplished a Pilot, to be able to be analyzed better the proposal viability, as well as to accomplish improvements for the real. Like data collections instruments, they were used questionnaires answered by teachers and students, interviews accomplished informal after each encounter, reports performed by observant that were assisting in the experiment, sessions of answered activities and entregues, as well as the activities accomplished by the students in the Computer and entregues to the searching teacher. The sessions of applied activities helped to realize the improvements in the concepts comprehensions of CDI I by the students and teachers front to GeoGebra's Resources, mostly in the comprehension aspect propitiated by the visual and by means of the process of draging the illustrations in the Computer without occur losses in the structure of her constructions. It is worth point out that the software in himself has her limitations and that he does not do anything if the teacher does not have a good planning of his activities, as well as objective to are reached, clear and safe knowledge than is being taught and a software good knowledge. After the application of this product that the software was observed is of easy handling by students and teachers, it allows to the teacher who can detect better doubts and, still summarily, with regard to the student it noticed that they managed to relate better the graphic part with the algebraic.A disciplina CDI I (Cálculo Diferencial e Integral I), consta na estrutura curricular de diversas áreas como: Ciências Exatas e da Terra; Tecnológica; Biológica e Humanística. Dado que existem dificuldades no que se refere ao ensino aprendizagem de CDI I, o presente estudo tem como eixo temático buscar responder a seguinte questão: “Como a utilização do software GeoGebra pode ser usada para uma melhor abordagem de Cálculo I?” Fundamentando-se nesta questão o presente trabalho tem o objetivo de elaborar sessões de atividades utilizando o software GeoGebra, no tocante aos principais conceitos do CDI I. Baseando-se nos recursos oferecidos na UFRN-Natal (Universidades Federal do Rio Grande do Norte Campus Natal), preparamos nossas sessões de atividades na perspectiva investigativa proposta pelas concepções de Ponte (2003), bem como utilizamos em nosso referencial as ideias propostas por Borba e Penteado (2007), Zulatto (2002, 2007), Salazar (2009) e Lopes (2010) no que diz respeito as TI (Tecnologias da Informação). Assim, este trabalho apresenta uma sequência de atividades posta em sessões, em que os alunos trabalham em duplas ou individualmente, para perceber a essência dos conceitos iniciais de funções, limites, derivadas e integrais. Após a realização de uma pesquisa realizada junto a PROGRAD-UFRN (Pró-reitoria de Graduação da Universidade Federal do Rio Grande do Norte), escolheu-se uma turma de alunos que cursavam licenciatura em matemática, devido esse curso fazer parte dos que apresentavam maiores dificuldades. Esses alunos eram convidados aleatoriamente a participarem de encontros realizados no turno inverso em que os mesmos estudavam. Primeiro realizamos um Piloto, para podermos analisar melhor a viabilidade da proposta, bem como realizar melhorias para o Experimento real. Como instrumentos de coletas de dados usamos: questionários respondidos por professores e alunos, entrevistas informais realizadas após cada encontro, relatórios preenchidos por observadores que estavam auxiliando no experimento, as sessões de atividades respondidas e entregues, bem como as atividades realizadas pelos alunos no computador e entregues ao professor pesquisador. As sessões de atividades aplicadas nos ajudaram a perceber as melhorias nas compreensões dos conceitos de CDI I, por parte dos alunos e professores frente aos recursos do GeoGebra principalmente no aspecto da compreensão propiciada pelo visual e por meio do processo de arrastar as figuras no computador sem que ocorram perdas na estrutura de suas construções. Vale salientar que o software em si tem suas limitações e que ele não faz nada se o professor não tiver um bom planejamento de suas atividades, como também objetivos a serem alcançados, um conhecimento claro e seguro do que se está sendo ensinado e um bom conhecimento do software. Após a aplicação deste produto observamos que o software é de fácil manuseio por parte de alunos e professores, permite ao professor detectar melhor onde o aluno apresenta sua dúvida e, ainda sumariamente, com relação ao aluno notou-se que conseguiram relacionar melhor a parte gráfica com a algébrica.Universidade Federal do Rio Grande do NorteBrasilUFRNPrograma de Pós-graduação em Ensino de Ciências Naturais e MatemáticaCentro de Ciências Exatas e da TerraSousa, Giselle Costa dehttp://lattes.cnpq.br/2319269653442042http://lattes.cnpq.br/1300121866958282Salazar, Jesus Victoria Floreshttp://lattes.cnpq.br/0075037871974370Bandeira, Francisco de Assishttp://lattes.cnpq.br/7600840360005863Rêgo, Rômulo Marinho dohttp://lattes.cnpq.br/7603835797321850Amorim, Frank Victor2022-06-22T20:56:44Z2022-06-22T20:56:44Z2011-09-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfAMORIM, Frank Victor. Experiência de atividades para o cálculo diferencial e integral com o software geogebra. 2011. 190f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2011.https://repositorio.ufrn.br/handle/123456789/48265porreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccess2025-03-25T15:15:04Zoai:repositorio.ufrn.br:123456789/48265Repositório InstitucionalPUBhttp://repositorio.ufrn.br/oai/repositorio@bczm.ufrn.bropendoar:2025-03-25T15:15:04Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.none.fl_str_mv Experiência de atividades para o cálculo diferencial e integral com o software geogebra
title Experiência de atividades para o cálculo diferencial e integral com o software geogebra
spellingShingle Experiência de atividades para o cálculo diferencial e integral com o software geogebra
Amorim, Frank Victor
cálculo diferencial e Integral
atividades investigativas
software GeoGebra
title_short Experiência de atividades para o cálculo diferencial e integral com o software geogebra
title_full Experiência de atividades para o cálculo diferencial e integral com o software geogebra
title_fullStr Experiência de atividades para o cálculo diferencial e integral com o software geogebra
title_full_unstemmed Experiência de atividades para o cálculo diferencial e integral com o software geogebra
title_sort Experiência de atividades para o cálculo diferencial e integral com o software geogebra
author Amorim, Frank Victor
author_facet Amorim, Frank Victor
author_role author
dc.contributor.none.fl_str_mv Sousa, Giselle Costa de
http://lattes.cnpq.br/2319269653442042
http://lattes.cnpq.br/1300121866958282
Salazar, Jesus Victoria Flores
http://lattes.cnpq.br/0075037871974370
Bandeira, Francisco de Assis
http://lattes.cnpq.br/7600840360005863
Rêgo, Rômulo Marinho do
http://lattes.cnpq.br/7603835797321850
dc.contributor.author.fl_str_mv Amorim, Frank Victor
dc.subject.por.fl_str_mv cálculo diferencial e Integral
atividades investigativas
software GeoGebra
topic cálculo diferencial e Integral
atividades investigativas
software GeoGebra
description The discipline CDI I (Calculation Differential and Integral I) consists in the curricular structure of several areas as: Exact Sciences and of the Land; Technological; Biological and Humanistic. For there are difficulties with regard to CDI's Teaching Learning I, the present study has as thematic axis to seek to answer to the following matter: “How can the software utilization GeoGebra be used to a better Calculation I approach?”. Basing itself in this matter, the present work has the goal of elaborating activities sessions using the software GeoGebra concerning the main concepts of CDI I. Basing itself on resources offered by UFRN-Christmas (Federal University of Rio Grande do Norte - Native Campus), it elaborated activities sessions in the proposed investigative perspective. This work presents an activities sequence posts in sessions, in which the students work on couples or individually, to realize the functions initial concepts essence, iimits, derivatives and integral. After the accomplishment of a research accomplished close to the PROGRAD-UFRN (Pro- rectory of Graduation of the Federal University of Rio Grande do Norte), it chose a students' group who attended licenciatura in mathematics, for being, that course, one that they present íarger difficulties. These students were invited aleatoriamente take part herfrom encounters accomplished in the inverse turn in which the same studied. First it accomplished a Pilot, to be able to be analyzed better the proposal viability, as well as to accomplish improvements for the real. Like data collections instruments, they were used questionnaires answered by teachers and students, interviews accomplished informal after each encounter, reports performed by observant that were assisting in the experiment, sessions of answered activities and entregues, as well as the activities accomplished by the students in the Computer and entregues to the searching teacher. The sessions of applied activities helped to realize the improvements in the concepts comprehensions of CDI I by the students and teachers front to GeoGebra's Resources, mostly in the comprehension aspect propitiated by the visual and by means of the process of draging the illustrations in the Computer without occur losses in the structure of her constructions. It is worth point out that the software in himself has her limitations and that he does not do anything if the teacher does not have a good planning of his activities, as well as objective to are reached, clear and safe knowledge than is being taught and a software good knowledge. After the application of this product that the software was observed is of easy handling by students and teachers, it allows to the teacher who can detect better doubts and, still summarily, with regard to the student it noticed that they managed to relate better the graphic part with the algebraic.
publishDate 2011
dc.date.none.fl_str_mv 2011-09-29
2022-06-22T20:56:44Z
2022-06-22T20:56:44Z
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 AMORIM, Frank Victor. Experiência de atividades para o cálculo diferencial e integral com o software geogebra. 2011. 190f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2011.
https://repositorio.ufrn.br/handle/123456789/48265
identifier_str_mv AMORIM, Frank Victor. Experiência de atividades para o cálculo diferencial e integral com o software geogebra. 2011. 190f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2011.
url https://repositorio.ufrn.br/handle/123456789/48265
dc.language.iso.fl_str_mv por
language por
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Universidade Federal do Rio Grande do Norte
Brasil
UFRN
Programa de Pós-graduação em Ensino de Ciências Naturais e Matemática
Centro de Ciências Exatas e da Terra
publisher.none.fl_str_mv Universidade Federal do Rio Grande do Norte
Brasil
UFRN
Programa de Pós-graduação em Ensino de Ciências Naturais e Matemática
Centro de Ciências Exatas e da Terra
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
instacron:UFRN
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
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institution UFRN
reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
repository.name.fl_str_mv Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)
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