Modelling (mathematics) and modelling in education: reflections on and continuing training

Bibliographic Details
Main Author: Bonotto, Danusa de Lara
Publication Date: 2020
Other Authors: Scheller, Morgana, Lima, Valderez Marina do Rosário
Format: Article
Language: por
Source: Reflexão e Ação (Online)
Download full: https://seer.unisc.br/index.php/reflex/article/view/9870
Summary: This article reports an experience of the development of a task of Modeling (Mathematics) and its projection to the classroom from the reflexes in and the continued formation. From the reflections in the training, the task triggered new research activities and favored the insertion of Modeling in the classroom to explore two main concepts of Mathematics: reason and proportionality through the concept of density.The results indicate the positive evaluation regarding the task developed and projection of the insertion of new practices of Modeling (Mathematics) by the teachers to the teaching action, thus increasing the use of Modeling in Education in the teacher's doing.However, they indicate concern about the fulfillment of the prescriptions, among them, the programmatic contents that are included in the Mathematics curriculum matrix. In relation to the students who experienced the task implemented by one of the teachers, they (re) organized the representations initially textualized and signified the concept of density by verbally expressing the mathematical model. They did so to perform their calculation and to use the concept to make arguments during the development of the task.
id UNISC-9_959dba5c69e43bc569615073b77f8e0b
oai_identifier_str oai:ojs.online.unisc.br:article/9870
network_acronym_str UNISC-9
network_name_str Reflexão e Ação (Online)
repository_id_str
spelling Modelling (mathematics) and modelling in education: reflections on and continuing trainingModelación (matemática) y modelación en la educación: reflejos en la formación continuadaModelagem (matemática) e modelagem na educação: reflexos na e da formação continuadaTeacher who teaches MathematicsContinuing education of teachersReason and proportion.Profesor que enseña MatemáticasFormación de profesoresRazón y proporción.Professor que ensina MatemáticaFormação continuada de professoresRazão e proporção.Formação continuada de professoresThis article reports an experience of the development of a task of Modeling (Mathematics) and its projection to the classroom from the reflexes in and the continued formation. From the reflections in the training, the task triggered new research activities and favored the insertion of Modeling in the classroom to explore two main concepts of Mathematics: reason and proportionality through the concept of density.The results indicate the positive evaluation regarding the task developed and projection of the insertion of new practices of Modeling (Mathematics) by the teachers to the teaching action, thus increasing the use of Modeling in Education in the teacher's doing.However, they indicate concern about the fulfillment of the prescriptions, among them, the programmatic contents that are included in the Mathematics curriculum matrix. In relation to the students who experienced the task implemented by one of the teachers, they (re) organized the representations initially textualized and signified the concept of density by verbally expressing the mathematical model. They did so to perform their calculation and to use the concept to make arguments during the development of the task.Este artículo relata una experiencia del desarrollo de una tarea de Modelación (Matemática) y su proyección para el aula a partir de los reflejos en y de la formación continuada. A partir de las reflexiones en la formación, la tarea desencadenó nuevas actividades investigativas y favoreció la inserción del Modelaje en el aula para explorar dos conceptos destaques de la Matemática: razón y proporcionalidad por medio del concepto de densidad. Los resultados indican la evaluación positiva referente a la tarea desarrollada y proyección de inserción de nuevas prácticas de Modelado (Matemática) por los docentes a la acción docente, ampliando así la utilización de Modelado en la Educación en el hacer del profesor. Sin embargo, señalan preocupación por el cumplimiento de las prescripciones, entre ellas, los contenidos de la matriz curricular de Matemáticas. En cuanto a los estudiantes que vivenciaron la tarea hecha por una de las profesoras, éstos (re) organizaron las representaciones iniciales y significaron el concepto de densidad al expresar, verbalmente, el modelo matemático. Lo hicieron para ejecutar su cálculo y al usar el concepto para hacer argumentaciones en el momento del desarrollo de latarea.Este artigo relata a experiência do desenvolvimento de uma tarefa de Modelagem (Matemática) realizada com um grupo de professores de Matemática e sua projeção para a sala de aula a partir dos reflexos na e da formação continuada. Decorrente das reflexões na formação, a tarefa desencadeou novas atividades investigativas e favoreceu a inserção da Modelagem na sala de aula para explorar dois conceitos destaques da Matemática: razão e proporcionalidade por meio do conceito de densidade. Os resultados indicam a avaliação positiva referente à tarefa desenvolvida e projeção de inserção de novas práticas de Modelagem (Matemática) pelos docentes à ação docente, ampliando assim a utilização da Modelagem na Educação no fazer do professor. No entanto, assinalam preocupação com o cumprimento das prescrições, dentre essas, os conteúdos programáticos que constam na matriz curricular de Matemática. Em relação aos estudantes que vivenciaram a tarefa implementada por uma das professoras, estes (re)organizaram as representações textualizadas inicialmente e significaram o conceito de densidade ao expressarem, verbalmente, o modelo matemático. O fizeram para realizar seu cálculo e ao utilizar o conceito para realizar argumentações durante o desenvolvimento da tarefa.EDUNISC2020-01-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://seer.unisc.br/index.php/reflex/article/view/987010.17058/rea.v28i1.9870Reflexão e Ação; v. 28 n. 1 (2020); 235-2531982-9949reponame:Reflexão e Ação (Online)instname:Universidade de Santa Cruz do Sul (UNISC)instacron:UNISCporhttps://seer.unisc.br/index.php/reflex/article/view/9870/pdfCopyright (c) 2020 Reflexão e Açãoinfo:eu-repo/semantics/openAccessBonotto, Danusa de LaraScheller, MorganaLima, Valderez Marina do Rosário2021-01-25T20:33:35Zoai:ojs.online.unisc.br:article/9870Revistahttps://online.unisc.br/seer/index.php/reflexPUBhttps://online.unisc.br/seer/index.php/reflex/oaieders@unisc.br || rea@unisc.br1982-99490103-8842opendoar:2021-01-25T20:33:35Reflexão e Ação (Online) - Universidade de Santa Cruz do Sul (UNISC)false
dc.title.none.fl_str_mv Modelling (mathematics) and modelling in education: reflections on and continuing training
Modelación (matemática) y modelación en la educación: reflejos en la formación continuada
Modelagem (matemática) e modelagem na educação: reflexos na e da formação continuada
title Modelling (mathematics) and modelling in education: reflections on and continuing training
spellingShingle Modelling (mathematics) and modelling in education: reflections on and continuing training
Bonotto, Danusa de Lara
Teacher who teaches Mathematics
Continuing education of teachers
Reason and proportion.
Profesor que enseña Matemáticas
Formación de profesores
Razón y proporción.
Professor que ensina Matemática
Formação continuada de professores
Razão e proporção.
Formação continuada de professores
title_short Modelling (mathematics) and modelling in education: reflections on and continuing training
title_full Modelling (mathematics) and modelling in education: reflections on and continuing training
title_fullStr Modelling (mathematics) and modelling in education: reflections on and continuing training
title_full_unstemmed Modelling (mathematics) and modelling in education: reflections on and continuing training
title_sort Modelling (mathematics) and modelling in education: reflections on and continuing training
author Bonotto, Danusa de Lara
author_facet Bonotto, Danusa de Lara
Scheller, Morgana
Lima, Valderez Marina do Rosário
author_role author
author2 Scheller, Morgana
Lima, Valderez Marina do Rosário
author2_role author
author
dc.contributor.author.fl_str_mv Bonotto, Danusa de Lara
Scheller, Morgana
Lima, Valderez Marina do Rosário
dc.subject.por.fl_str_mv Teacher who teaches Mathematics
Continuing education of teachers
Reason and proportion.
Profesor que enseña Matemáticas
Formación de profesores
Razón y proporción.
Professor que ensina Matemática
Formação continuada de professores
Razão e proporção.
Formação continuada de professores
topic Teacher who teaches Mathematics
Continuing education of teachers
Reason and proportion.
Profesor que enseña Matemáticas
Formación de profesores
Razón y proporción.
Professor que ensina Matemática
Formação continuada de professores
Razão e proporção.
Formação continuada de professores
description This article reports an experience of the development of a task of Modeling (Mathematics) and its projection to the classroom from the reflexes in and the continued formation. From the reflections in the training, the task triggered new research activities and favored the insertion of Modeling in the classroom to explore two main concepts of Mathematics: reason and proportionality through the concept of density.The results indicate the positive evaluation regarding the task developed and projection of the insertion of new practices of Modeling (Mathematics) by the teachers to the teaching action, thus increasing the use of Modeling in Education in the teacher's doing.However, they indicate concern about the fulfillment of the prescriptions, among them, the programmatic contents that are included in the Mathematics curriculum matrix. In relation to the students who experienced the task implemented by one of the teachers, they (re) organized the representations initially textualized and signified the concept of density by verbally expressing the mathematical model. They did so to perform their calculation and to use the concept to make arguments during the development of the task.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-05
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://seer.unisc.br/index.php/reflex/article/view/9870
10.17058/rea.v28i1.9870
url https://seer.unisc.br/index.php/reflex/article/view/9870
identifier_str_mv 10.17058/rea.v28i1.9870
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://seer.unisc.br/index.php/reflex/article/view/9870/pdf
dc.rights.driver.fl_str_mv Copyright (c) 2020 Reflexão e Ação
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2020 Reflexão e Ação
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv EDUNISC
publisher.none.fl_str_mv EDUNISC
dc.source.none.fl_str_mv Reflexão e Ação; v. 28 n. 1 (2020); 235-253
1982-9949
reponame:Reflexão e Ação (Online)
instname:Universidade de Santa Cruz do Sul (UNISC)
instacron:UNISC
instname_str Universidade de Santa Cruz do Sul (UNISC)
instacron_str UNISC
institution UNISC
reponame_str Reflexão e Ação (Online)
collection Reflexão e Ação (Online)
repository.name.fl_str_mv Reflexão e Ação (Online) - Universidade de Santa Cruz do Sul (UNISC)
repository.mail.fl_str_mv eders@unisc.br || rea@unisc.br
_version_ 1844000203140497408