The role of software Modellus in a teaching approach based on model analysis
Autor(a) principal: | |
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Data de Publicação: | 2014 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s11858-013-0568-5 http://hdl.handle.net/11449/167800 |
Resumo: | We discuss some results of a study carried out over the past 4 years to investigate the role of Modellus, a software package, in the development of an approach to teaching calculus for Biology majors. The central idea of the teaching approach is to propose the analysis of a mathematical model for a biological phenomenon at the very beginning of the course, in a way that this analysis is interrelated with some of the mathematical concepts listed in the syllabus. In this paper, we focus on the role of the software during the development of one of the activities proposed to the students, the purpose of which was to discuss the relation between secant lines and the instantaneous rate of change. It was found that this software played two roles in the development of this activity: providing information about the phenomenon and the model; and acting as a trigger, making evident to the student an important aspect that contributed to his understanding. Based on our theoretical perspective of digital technology, we believe that students’ interaction with the software played a fundamental role in the thinking collective composed of humans and media involved in mathematical learning. |
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The role of software Modellus in a teaching approach based on model analysisDigital technologyMathematical modelingMathematics educationWe discuss some results of a study carried out over the past 4 years to investigate the role of Modellus, a software package, in the development of an approach to teaching calculus for Biology majors. The central idea of the teaching approach is to propose the analysis of a mathematical model for a biological phenomenon at the very beginning of the course, in a way that this analysis is interrelated with some of the mathematical concepts listed in the syllabus. In this paper, we focus on the role of the software during the development of one of the activities proposed to the students, the purpose of which was to discuss the relation between secant lines and the instantaneous rate of change. It was found that this software played two roles in the development of this activity: providing information about the phenomenon and the model; and acting as a trigger, making evident to the student an important aspect that contributed to his understanding. Based on our theoretical perspective of digital technology, we believe that students’ interaction with the software played a fundamental role in the thinking collective composed of humans and media involved in mathematical learning.Pure and Applied Mathematics Department, Federal University of Rio Grande do Sul, UFRGS, Av. Bento Gonçalves, 9500-Prédio 43-111, AgronomiaGPIMEM, Graduate Program in Mathematics Education, Mathematics Department, São Paulo State University, UNESP, Av. 24 A, 1515, Bela VistaGPIMEM, Graduate Program in Mathematics Education, Mathematics Department, São Paulo State University, UNESP, Av. 24 A, 1515, Bela VistaPure and Applied Mathematics Department, Federal University of Rio Grande do Sul, UFRGSUniversidade Estadual Paulista (Unesp)Soares, Débora da SilvaBorba, Marcelo C. [UNESP]2018-12-11T16:38:23Z2018-12-11T16:38:23Z2014-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article575-587application/pdfhttp://dx.doi.org/10.1007/s11858-013-0568-5ZDM - International Journal on Mathematics Education, v. 46, n. 4, p. 575-587, 2014.1863-97041863-9690http://hdl.handle.net/11449/16780010.1007/s11858-013-0568-52-s2.0-849263866422-s2.0-84926386642.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengZDM - International Journal on Mathematics Education0,7810,781info:eu-repo/semantics/openAccess2023-11-22T06:13:07Zoai:repositorio.unesp.br:11449/167800Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:24:36.129726Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The role of software Modellus in a teaching approach based on model analysis |
title |
The role of software Modellus in a teaching approach based on model analysis |
spellingShingle |
The role of software Modellus in a teaching approach based on model analysis Soares, Débora da Silva Digital technology Mathematical modeling Mathematics education |
title_short |
The role of software Modellus in a teaching approach based on model analysis |
title_full |
The role of software Modellus in a teaching approach based on model analysis |
title_fullStr |
The role of software Modellus in a teaching approach based on model analysis |
title_full_unstemmed |
The role of software Modellus in a teaching approach based on model analysis |
title_sort |
The role of software Modellus in a teaching approach based on model analysis |
author |
Soares, Débora da Silva |
author_facet |
Soares, Débora da Silva Borba, Marcelo C. [UNESP] |
author_role |
author |
author2 |
Borba, Marcelo C. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Pure and Applied Mathematics Department, Federal University of Rio Grande do Sul, UFRGS Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Soares, Débora da Silva Borba, Marcelo C. [UNESP] |
dc.subject.por.fl_str_mv |
Digital technology Mathematical modeling Mathematics education |
topic |
Digital technology Mathematical modeling Mathematics education |
description |
We discuss some results of a study carried out over the past 4 years to investigate the role of Modellus, a software package, in the development of an approach to teaching calculus for Biology majors. The central idea of the teaching approach is to propose the analysis of a mathematical model for a biological phenomenon at the very beginning of the course, in a way that this analysis is interrelated with some of the mathematical concepts listed in the syllabus. In this paper, we focus on the role of the software during the development of one of the activities proposed to the students, the purpose of which was to discuss the relation between secant lines and the instantaneous rate of change. It was found that this software played two roles in the development of this activity: providing information about the phenomenon and the model; and acting as a trigger, making evident to the student an important aspect that contributed to his understanding. Based on our theoretical perspective of digital technology, we believe that students’ interaction with the software played a fundamental role in the thinking collective composed of humans and media involved in mathematical learning. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-08-01 2018-12-11T16:38:23Z 2018-12-11T16:38:23Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/s11858-013-0568-5 ZDM - International Journal on Mathematics Education, v. 46, n. 4, p. 575-587, 2014. 1863-9704 1863-9690 http://hdl.handle.net/11449/167800 10.1007/s11858-013-0568-5 2-s2.0-84926386642 2-s2.0-84926386642.pdf |
url |
http://dx.doi.org/10.1007/s11858-013-0568-5 http://hdl.handle.net/11449/167800 |
identifier_str_mv |
ZDM - International Journal on Mathematics Education, v. 46, n. 4, p. 575-587, 2014. 1863-9704 1863-9690 10.1007/s11858-013-0568-5 2-s2.0-84926386642 2-s2.0-84926386642.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
ZDM - International Journal on Mathematics Education 0,781 0,781 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
575-587 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128928888389632 |