Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Revista de Ensino de Ciências e Matemática - REnCiMa |
Texto Completo: | https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1182 |
Resumo: | The present research qualitative, delineated by a case of study with research participating, analyzed the contributions the use of the software Geogebra ally to modeling Mathematics teaching and learning trigonometric functions sine and cosine, from the point of view of Meaningful Learning. The study was applied to 18 students of the second year of high school in a public school in the municipality of Marechal Deodoro, Alagoas. The investigation was ruled by a Sequence teaching didactic which was worked the software combined with the mathematics modeling periodic phenomena. The researches results showed that the use of the Geogebra software dynamized the teaching and learning process of trigonometric functions; It was possible utilize mathematics modeling as a teaching methodology for learning the functions f(x)=a+bsen(cx+d) and g(x)=a+bcos(cx+d); and the students understoond the behavior of the parameters a, b, c and d. The study has as the main contribution the connection realized by the students between the content of the trigonometric functions and the daily through of its application in the forecast of periodic phenomena (tide height and lunar phases), getting like this Meaningful Learning. |
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Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical ModelingEnsino e aprendizagem de funções trigonométricas por meio do software Geogebra aliado à Modelagem MatemáticaEnsino e AprendizagemGeogebraModelagem MatemáticaFunções TrigonométricasTeaching and LearningGeogebraMathematical ModelingTrigonometric functionsThe present research qualitative, delineated by a case of study with research participating, analyzed the contributions the use of the software Geogebra ally to modeling Mathematics teaching and learning trigonometric functions sine and cosine, from the point of view of Meaningful Learning. The study was applied to 18 students of the second year of high school in a public school in the municipality of Marechal Deodoro, Alagoas. The investigation was ruled by a Sequence teaching didactic which was worked the software combined with the mathematics modeling periodic phenomena. The researches results showed that the use of the Geogebra software dynamized the teaching and learning process of trigonometric functions; It was possible utilize mathematics modeling as a teaching methodology for learning the functions f(x)=a+bsen(cx+d) and g(x)=a+bcos(cx+d); and the students understoond the behavior of the parameters a, b, c and d. The study has as the main contribution the connection realized by the students between the content of the trigonometric functions and the daily through of its application in the forecast of periodic phenomena (tide height and lunar phases), getting like this Meaningful Learning.A presente pesquisa qualitativa, delineado por um estudo de caso com pesquisa participante, analisou as contribuições da utilização do software Geogebra aliado à Modelagem Matemática no ensino-aprendizagem das funções trigonométricas seno e cosseno, à luz da Aprendizagem Significativa. O estudo foi aplicado a 18 alunos do segundo ano do Ensino Médio de uma escola pública do município de Marechal Deodoro, Alagoas. A investigação foi regida por uma Sequência Didática de Ensino, produto desta dissertação, na qual foi trabalhado o software junto com a Modelagem Matemática de fenômenos periódicos. Os resultados da pesquisa mostraram que o uso do software Geogebra otimizou o ensino e a aprendizagem de funções trigonométricas; foi possível utilizar a Modelagem Matemática como uma metodologia de ensino para a aprendizagem das funções f(x)=a+bsen(cx+d) e g(x)=a+bcos(cx+d); e que os discentes compreenderam o comportamento dos seus parâmetros a, b, c e d. O estudo tem como principal contribuição, a conexão realizada pelos estudantes entre o conteúdo de funções trigonométricas e o cotidiano, através de sua aplicação na previsão de fenômenos periódicos (altura da maré e fases lunares), entendendo ainda a importância deste assunto para outras áreas do conhecimento, como física, astronomia, biologia e medicina, obtendo assim, uma Aprendizagem Significativa.Editora Cruzeiro do Sul2016-12-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/118210.26843/rencima.v7i5.1182Revista de Ensino de Ciências e Matemática; v. 7 n. 5 (2016): out./dez.; 12-302179-426X10.26843/rencima.v7i5reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/1182/857https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessde Melo, Enaldo VieiraFireman, Elton Casado2023-04-20T22:18:59Zoai:ojs.pkp.sfu.ca:article/1182Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-04-20T22:18:59Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false |
dc.title.none.fl_str_mv |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling Ensino e aprendizagem de funções trigonométricas por meio do software Geogebra aliado à Modelagem Matemática |
title |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling |
spellingShingle |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling de Melo, Enaldo Vieira Ensino e Aprendizagem Geogebra Modelagem Matemática Funções Trigonométricas Teaching and Learning Geogebra Mathematical Modeling Trigonometric functions |
title_short |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling |
title_full |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling |
title_fullStr |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling |
title_full_unstemmed |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling |
title_sort |
Teaching and learning of trigonometric functions through Geogebra software allied to Mathematical Modeling |
author |
de Melo, Enaldo Vieira |
author_facet |
de Melo, Enaldo Vieira Fireman, Elton Casado |
author_role |
author |
author2 |
Fireman, Elton Casado |
author2_role |
author |
dc.contributor.author.fl_str_mv |
de Melo, Enaldo Vieira Fireman, Elton Casado |
dc.subject.por.fl_str_mv |
Ensino e Aprendizagem Geogebra Modelagem Matemática Funções Trigonométricas Teaching and Learning Geogebra Mathematical Modeling Trigonometric functions |
topic |
Ensino e Aprendizagem Geogebra Modelagem Matemática Funções Trigonométricas Teaching and Learning Geogebra Mathematical Modeling Trigonometric functions |
description |
The present research qualitative, delineated by a case of study with research participating, analyzed the contributions the use of the software Geogebra ally to modeling Mathematics teaching and learning trigonometric functions sine and cosine, from the point of view of Meaningful Learning. The study was applied to 18 students of the second year of high school in a public school in the municipality of Marechal Deodoro, Alagoas. The investigation was ruled by a Sequence teaching didactic which was worked the software combined with the mathematics modeling periodic phenomena. The researches results showed that the use of the Geogebra software dynamized the teaching and learning process of trigonometric functions; It was possible utilize mathematics modeling as a teaching methodology for learning the functions f(x)=a+bsen(cx+d) and g(x)=a+bcos(cx+d); and the students understoond the behavior of the parameters a, b, c and d. The study has as the main contribution the connection realized by the students between the content of the trigonometric functions and the daily through of its application in the forecast of periodic phenomena (tide height and lunar phases), getting like this Meaningful Learning. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-12-22 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1182 10.26843/rencima.v7i5.1182 |
url |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1182 |
identifier_str_mv |
10.26843/rencima.v7i5.1182 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1182/857 |
dc.rights.driver.fl_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Editora Cruzeiro do Sul |
publisher.none.fl_str_mv |
Editora Cruzeiro do Sul |
dc.source.none.fl_str_mv |
Revista de Ensino de Ciências e Matemática; v. 7 n. 5 (2016): out./dez.; 12-30 2179-426X 10.26843/rencima.v7i5 reponame:Revista de Ensino de Ciências e Matemática - REnCiMa instname:Universidade de Caxias do Sul (UCS) instacron:UCS |
instname_str |
Universidade de Caxias do Sul (UCS) |
instacron_str |
UCS |
institution |
UCS |
reponame_str |
Revista de Ensino de Ciências e Matemática - REnCiMa |
collection |
Revista de Ensino de Ciências e Matemática - REnCiMa |
repository.name.fl_str_mv |
Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS) |
repository.mail.fl_str_mv |
||rencima@cruzeirodosul.edu.br |
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