Mathematical modeling in high school: possibility of learning via water bills
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/1283 |
Resumo: | The present work aims to report the results of a Mathematical Modeling practice developed in 2016, with students of the 2nd year of a public Polytechnic School located in the state of Rio Grande do Sul. The studies covered an investigation about the costs of water consumption afforded by the local municipality and then compared to the charges of another company, in order to propose criteria of choice between the two water supply companies. The work was developed by a group of research professors with 2nd year students and the class was organized in groups. The results show that, initially, the students presented difficulties in obtaining a mathematical model that represented the relation between consumption and the value paid for water. However, through the intervention of the professors, the students, in a collaborative way, obtained satisfactory results in terms of mathematical models representation. The professors acted as mediators, in order to objectify that the students were the protagonists. After the practice, it was noticed that the students developed interest, curiosity and valorization of Mathematics. In addition, it was observed that Mathematical Modeling enabled students to think critically and creatively, favoring their autonomy and independence. |
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Mathematical modeling in high school: possibility of learning via water billsModelagem Matemática no Ensino Médio: uma possibilidade de aprendizagem a partir de contas de águaEnsino Médio PolitécnicoModelagem MatemáticaCusto de águaPolytechnic High SchoolMathematical ModelingCost of waterThe present work aims to report the results of a Mathematical Modeling practice developed in 2016, with students of the 2nd year of a public Polytechnic School located in the state of Rio Grande do Sul. The studies covered an investigation about the costs of water consumption afforded by the local municipality and then compared to the charges of another company, in order to propose criteria of choice between the two water supply companies. The work was developed by a group of research professors with 2nd year students and the class was organized in groups. The results show that, initially, the students presented difficulties in obtaining a mathematical model that represented the relation between consumption and the value paid for water. However, through the intervention of the professors, the students, in a collaborative way, obtained satisfactory results in terms of mathematical models representation. The professors acted as mediators, in order to objectify that the students were the protagonists. After the practice, it was noticed that the students developed interest, curiosity and valorization of Mathematics. In addition, it was observed that Mathematical Modeling enabled students to think critically and creatively, favoring their autonomy and independence.Este trabalho tem como objetivo relatar os resultados de uma prática de Modelagem Matemática desenvolvida em 2016, com alunos do 2º ano do Ensino Médio Politécnico de uma escola pública, localizada do Rio Grande do Sul. Os estudos abrangeram uma investigação acerca dos custos do consumo de água concedida pela prefeitura local que, posteriormente, foram comparados às cobranças de outra companhia, com o intuito de proporem critérios de escolha entre as duas companhias de fornecimento de água. O trabalho foi desenvolvido por um grupo de professores pesquisadores e a turma foi organizada em grupos. Os resultados obtidos apontam que, inicialmente, os alunos apresentaram dificuldades em obter um modelo matemático que representasse a relação entre o consumo e o valor pago pela água. Entretanto, por meio da intervenção dos professores, os alunos, de forma colaborativa, obtiveram resultados satisfatórios. Os professores atuaram como mediadores, de forma a objetivar que os alunos fossem os protagonistas. Para a professora titular e integrante da pesquisa, os alunos apresentaram ao longo das atividades, interação com a Modelagem Matemática, desenvolvendo interesse, curiosidade e valorização quanto à Matemática. Além disso, observou-se que a Modelagem Matemática possibilitou aos alunos um pensar crítico e criativo, favorecendo sua autonomia e independência. Editora Cruzeiro do Sul2018-04-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/128310.26843/rencima.v9i1.1283Revista de Ensino de Ciências e Matemática; v. 9 n. 1 (2018): jan./mar.; 103-1212179-426X10.26843/rencima.v9i1reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/1283/951https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessRehfeldt, Márcia Jussara HeppNeide, Italo GabrielBöckel, Wolmir JoséBroilo, Ana PaulaPisching, IsabelHeinen, Camila AparecidaKönig, Rosilene Inês2023-04-20T22:55:11Zoai:ojs.pkp.sfu.ca:article/1283Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-04-20T22:55:11Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false |
dc.title.none.fl_str_mv |
Mathematical modeling in high school: possibility of learning via water bills Modelagem Matemática no Ensino Médio: uma possibilidade de aprendizagem a partir de contas de água |
title |
Mathematical modeling in high school: possibility of learning via water bills |
spellingShingle |
Mathematical modeling in high school: possibility of learning via water bills Rehfeldt, Márcia Jussara Hepp Ensino Médio Politécnico Modelagem Matemática Custo de água Polytechnic High School Mathematical Modeling Cost of water |
title_short |
Mathematical modeling in high school: possibility of learning via water bills |
title_full |
Mathematical modeling in high school: possibility of learning via water bills |
title_fullStr |
Mathematical modeling in high school: possibility of learning via water bills |
title_full_unstemmed |
Mathematical modeling in high school: possibility of learning via water bills |
title_sort |
Mathematical modeling in high school: possibility of learning via water bills |
author |
Rehfeldt, Márcia Jussara Hepp |
author_facet |
Rehfeldt, Márcia Jussara Hepp Neide, Italo Gabriel Böckel, Wolmir José Broilo, Ana Paula Pisching, Isabel Heinen, Camila Aparecida König, Rosilene Inês |
author_role |
author |
author2 |
Neide, Italo Gabriel Böckel, Wolmir José Broilo, Ana Paula Pisching, Isabel Heinen, Camila Aparecida König, Rosilene Inês |
author2_role |
author author author author author author |
dc.contributor.author.fl_str_mv |
Rehfeldt, Márcia Jussara Hepp Neide, Italo Gabriel Böckel, Wolmir José Broilo, Ana Paula Pisching, Isabel Heinen, Camila Aparecida König, Rosilene Inês |
dc.subject.por.fl_str_mv |
Ensino Médio Politécnico Modelagem Matemática Custo de água Polytechnic High School Mathematical Modeling Cost of water |
topic |
Ensino Médio Politécnico Modelagem Matemática Custo de água Polytechnic High School Mathematical Modeling Cost of water |
description |
The present work aims to report the results of a Mathematical Modeling practice developed in 2016, with students of the 2nd year of a public Polytechnic School located in the state of Rio Grande do Sul. The studies covered an investigation about the costs of water consumption afforded by the local municipality and then compared to the charges of another company, in order to propose criteria of choice between the two water supply companies. The work was developed by a group of research professors with 2nd year students and the class was organized in groups. The results show that, initially, the students presented difficulties in obtaining a mathematical model that represented the relation between consumption and the value paid for water. However, through the intervention of the professors, the students, in a collaborative way, obtained satisfactory results in terms of mathematical models representation. The professors acted as mediators, in order to objectify that the students were the protagonists. After the practice, it was noticed that the students developed interest, curiosity and valorization of Mathematics. In addition, it was observed that Mathematical Modeling enabled students to think critically and creatively, favoring their autonomy and independence. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-04-05 |
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/1283 10.26843/rencima.v9i1.1283 |
url |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1283 |
identifier_str_mv |
10.26843/rencima.v9i1.1283 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1283/951 |
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. 9 n. 1 (2018): jan./mar.; 103-121 2179-426X 10.26843/rencima.v9i1 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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1799306129777360896 |