Estudo de funções utilizando Geogebra e Moodle

Detalhes bibliográficos
Autor(a) principal: Almeida, Altair Portes de
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/4474
Resumo: The concept of relationship between two sets, in particular, the real function of a real variable, is fundamental to mathematics education high school student, it is a basic object of mathematics is elementary and the modeling of many everyday problems or context of other sciences. However, one notes the difficulty of most students understand this concept; stands out, also, the difficulty of students to interpret a function by analyzing its graph in the Cartesian plane xOy. In this context, this thesis try alternative methods that can contribute to the improvement of teaching and learning theme in question. More precisely, it uses Geogebra educational software and the virtual environment Moodle learning for the study of elementary functions. In general, the resources of Geogebra, the Dynamic Geometry and Algebra, have to propitiate to student understands, the proper form, the ratings and the function representation as a curve in the plane; Furthermore, Geogebra allow guesses about the behavior of an elementary function parameters subject to variation. In turn, the use of Moodle environment allows communication and broader evaluation (between teacher-student and student-student) through, questionnaires / online tests, video lessons, discussion forums etc. This text is six classes developed with the participation of two groups (each with about 35 students) of the third year of high school. Initially, in order to detect major and several difficulties, an evaluation (presence) was made with basic issues (of different levels). The performance of these students was quantified, qualified (enjoying the most problematic conceptual topics) and then served as support for the activities - in order to reverse the reality presented and the existing student-mathematical relationship. It is noteworthy that the use of an educational software like GeoGebra already proposes a new dynamic student-teacher-mathematics. Wanted with this change that the student take a more active position on the mathematical content so that, in fact, with proper guidance of the teacher, can understand and demystify the concept of real function of a real variable.
id SCAR_8987c0bdabae3a6bffc2a2a881c19f34
oai_identifier_str oai:repositorio.ufscar.br:ufscar/4474
network_acronym_str SCAR
network_name_str Repositório Institucional da UFSCAR
repository_id_str 4322
spelling Almeida, Altair Portes deRamos, Adrianahttp://lattes.cnpq.br/1067090731407577http://lattes.cnpq.br/6826595746114811e14dce07-551c-4be4-b7fa-023fa68989bf2016-06-02T20:02:58Z2015-03-022016-06-02T20:02:58Z2014-12-18ALMEIDA, Altair Portes de. Estudo de funções utilizando Geogebra e Moodle. 2014. 224 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2014.https://repositorio.ufscar.br/handle/ufscar/4474The concept of relationship between two sets, in particular, the real function of a real variable, is fundamental to mathematics education high school student, it is a basic object of mathematics is elementary and the modeling of many everyday problems or context of other sciences. However, one notes the difficulty of most students understand this concept; stands out, also, the difficulty of students to interpret a function by analyzing its graph in the Cartesian plane xOy. In this context, this thesis try alternative methods that can contribute to the improvement of teaching and learning theme in question. More precisely, it uses Geogebra educational software and the virtual environment Moodle learning for the study of elementary functions. In general, the resources of Geogebra, the Dynamic Geometry and Algebra, have to propitiate to student understands, the proper form, the ratings and the function representation as a curve in the plane; Furthermore, Geogebra allow guesses about the behavior of an elementary function parameters subject to variation. In turn, the use of Moodle environment allows communication and broader evaluation (between teacher-student and student-student) through, questionnaires / online tests, video lessons, discussion forums etc. This text is six classes developed with the participation of two groups (each with about 35 students) of the third year of high school. Initially, in order to detect major and several difficulties, an evaluation (presence) was made with basic issues (of different levels). The performance of these students was quantified, qualified (enjoying the most problematic conceptual topics) and then served as support for the activities - in order to reverse the reality presented and the existing student-mathematical relationship. It is noteworthy that the use of an educational software like GeoGebra already proposes a new dynamic student-teacher-mathematics. Wanted with this change that the student take a more active position on the mathematical content so that, in fact, with proper guidance of the teacher, can understand and demystify the concept of real function of a real variable.O conceito de relação entre dois conjuntos, em especial, o de função real de uma variável real, é fundamental para a formação matemática do estudante de Ensino Médio, pois é um objeto básico da Matemática e é elementar na modelagem de diversos problemas cotidianos ou do contexto de outras ciências. No entanto, é notória a dificuldade da maioria dos alunos na compreensão desse conceito; destaca-se, também, a dificuldade dos estudantes em interpretar uma função, analisando seu gráfico no plano cartesiano xOy. Sob tal contexto, esta dissertação procura experimentar métodos alternativos que possam contribuir para a melhoria do ensino e da aprendizagem do tema em questão. Mais precisamente, utiliza-se do software educacional GeoGebra e do ambiente virtual de aprendizagem Moodle para o estudo de funções elementares. Em linhas gerais, com os recursos do GeoGebra, da Geometria Dinâmica e da Álgebra, propicia-se ao aluno a compreensão, da forma devida, das notações e da representação de uma função como uma curva no plano; além disso, o GeoGebra permite conjecturas sobre o comportamento de uma função elementar sujeita à variação de parâmetros. Por sua vez, o uso do ambiente Moodle permite comunicação e avaliação mais amplas (entre professor-aluno e aluno-aluno) através de, por exemplo: questionários/testes online, videoaulas, fóruns de discussão etc. Este texto trata de seis aulas desenvolvidas com a participação de duas turmas (cada uma com cerca de 35 alunos) da terceira série do Ensino Médio. Inicialmente, a fim de detectar as principais e diversas dificuldades, foi feita uma avaliação (presencial) com questões básicas (de níveis variados). O desempenho desses alunos foi quantificado, qualificado (apreciando os tópicos conceituais mais problemáticos) e, então, serviu como suporte para as atividades - com o intuito de reverter a realidade apresentada e a relação aluno-matemática existente. Vale ressaltar que a utilização de um software educacional como o GeoGebra já propõe uma nova dinâmica aluno-professormatemática. Procura-se com essa mudança que o aluno assuma uma posição mais ativa perante o conteúdo matemático para que, de fato, com a devida orientação do professor, consiga compreender e desmitificar o conceito de função real de uma variável real.application/pdfporUniversidade Federal de São CarlosPrograma de Pós-Graduação em Ensino de Ciências Exatas - PPGECEUFSCarBREducação matemáticaSoftware educacionalAmbiente virtualEducationMathematicsEducational softwareVirtual environmentCIENCIAS EXATAS E DA TERRAEstudo de funções utilizando Geogebra e Moodleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-1-1ccfc6307-e099-4734-a9ee-36def5155300info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINAL6512.pdfapplication/pdf7870391https://repositorio.ufscar.br/bitstream/ufscar/4474/1/6512.pdff2ecf30e7641b984ab08de32f66d3189MD51TEXT6512.pdf.txt6512.pdf.txtExtracted texttext/plain0https://repositorio.ufscar.br/bitstream/ufscar/4474/2/6512.pdf.txtd41d8cd98f00b204e9800998ecf8427eMD52THUMBNAIL6512.pdf.jpg6512.pdf.jpgIM Thumbnailimage/jpeg6434https://repositorio.ufscar.br/bitstream/ufscar/4474/3/6512.pdf.jpg13c75e7c018bf8f11fef9ac23e2f8cc0MD53ufscar/44742023-09-18 18:31:34.483oai:repositorio.ufscar.br:ufscar/4474Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:34Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Estudo de funções utilizando Geogebra e Moodle
title Estudo de funções utilizando Geogebra e Moodle
spellingShingle Estudo de funções utilizando Geogebra e Moodle
Almeida, Altair Portes de
Educação matemática
Software educacional
Ambiente virtual
Education
Mathematics
Educational software
Virtual environment
CIENCIAS EXATAS E DA TERRA
title_short Estudo de funções utilizando Geogebra e Moodle
title_full Estudo de funções utilizando Geogebra e Moodle
title_fullStr Estudo de funções utilizando Geogebra e Moodle
title_full_unstemmed Estudo de funções utilizando Geogebra e Moodle
title_sort Estudo de funções utilizando Geogebra e Moodle
author Almeida, Altair Portes de
author_facet Almeida, Altair Portes de
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/6826595746114811
dc.contributor.author.fl_str_mv Almeida, Altair Portes de
dc.contributor.advisor1.fl_str_mv Ramos, Adriana
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1067090731407577
dc.contributor.authorID.fl_str_mv e14dce07-551c-4be4-b7fa-023fa68989bf
contributor_str_mv Ramos, Adriana
dc.subject.por.fl_str_mv Educação matemática
Software educacional
Ambiente virtual
topic Educação matemática
Software educacional
Ambiente virtual
Education
Mathematics
Educational software
Virtual environment
CIENCIAS EXATAS E DA TERRA
dc.subject.eng.fl_str_mv Education
Mathematics
Educational software
Virtual environment
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA
description The concept of relationship between two sets, in particular, the real function of a real variable, is fundamental to mathematics education high school student, it is a basic object of mathematics is elementary and the modeling of many everyday problems or context of other sciences. However, one notes the difficulty of most students understand this concept; stands out, also, the difficulty of students to interpret a function by analyzing its graph in the Cartesian plane xOy. In this context, this thesis try alternative methods that can contribute to the improvement of teaching and learning theme in question. More precisely, it uses Geogebra educational software and the virtual environment Moodle learning for the study of elementary functions. In general, the resources of Geogebra, the Dynamic Geometry and Algebra, have to propitiate to student understands, the proper form, the ratings and the function representation as a curve in the plane; Furthermore, Geogebra allow guesses about the behavior of an elementary function parameters subject to variation. In turn, the use of Moodle environment allows communication and broader evaluation (between teacher-student and student-student) through, questionnaires / online tests, video lessons, discussion forums etc. This text is six classes developed with the participation of two groups (each with about 35 students) of the third year of high school. Initially, in order to detect major and several difficulties, an evaluation (presence) was made with basic issues (of different levels). The performance of these students was quantified, qualified (enjoying the most problematic conceptual topics) and then served as support for the activities - in order to reverse the reality presented and the existing student-mathematical relationship. It is noteworthy that the use of an educational software like GeoGebra already proposes a new dynamic student-teacher-mathematics. Wanted with this change that the student take a more active position on the mathematical content so that, in fact, with proper guidance of the teacher, can understand and demystify the concept of real function of a real variable.
publishDate 2014
dc.date.issued.fl_str_mv 2014-12-18
dc.date.available.fl_str_mv 2015-03-02
2016-06-02T20:02:58Z
dc.date.accessioned.fl_str_mv 2016-06-02T20:02:58Z
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.citation.fl_str_mv ALMEIDA, Altair Portes de. Estudo de funções utilizando Geogebra e Moodle. 2014. 224 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2014.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/4474
identifier_str_mv ALMEIDA, Altair Portes de. Estudo de funções utilizando Geogebra e Moodle. 2014. 224 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2014.
url https://repositorio.ufscar.br/handle/ufscar/4474
dc.language.iso.fl_str_mv por
language por
dc.relation.confidence.fl_str_mv -1
-1
dc.relation.authority.fl_str_mv ccfc6307-e099-4734-a9ee-36def5155300
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE
dc.publisher.initials.fl_str_mv UFSCar
dc.publisher.country.fl_str_mv BR
publisher.none.fl_str_mv Universidade Federal de São Carlos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSCAR
instname:Universidade Federal de São Carlos (UFSCAR)
instacron:UFSCAR
instname_str Universidade Federal de São Carlos (UFSCAR)
instacron_str UFSCAR
institution UFSCAR
reponame_str Repositório Institucional da UFSCAR
collection Repositório Institucional da UFSCAR
bitstream.url.fl_str_mv https://repositorio.ufscar.br/bitstream/ufscar/4474/1/6512.pdf
https://repositorio.ufscar.br/bitstream/ufscar/4474/2/6512.pdf.txt
https://repositorio.ufscar.br/bitstream/ufscar/4474/3/6512.pdf.jpg
bitstream.checksum.fl_str_mv f2ecf30e7641b984ab08de32f66d3189
d41d8cd98f00b204e9800998ecf8427e
13c75e7c018bf8f11fef9ac23e2f8cc0
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)
repository.mail.fl_str_mv
_version_ 1802136275938967552