An investigative activity about polygons: reflection about unpredictabilities that promoted learnings
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Revista de Educação Matemática (Online) |
Texto Completo: | https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134 |
Resumo: | The main objective of this text is to introduce a reflection about the unpredictability in Mathematics classes. The episode reported is part of an undergraduate final project of a Mathematics Teacher Education course from a public University, whose main objective was to characterize Mathematics class in which students were involved in situations of investigation, exploration and discoveries. This study is based on the works of Ponte (2003), Ponte, Brocardo and Oliveira (2016) that treat investigations in Mathematics classes and on the studies of Skovsmose (2000) with the concepts of landscape of investigation, risk zone and comfort zone. As a methodology, an exploration and investigation activity about polygons was implemented with 5th grade students from a public school in São Paulo. The development’s characterization of the activity was described after the class in an internship notebook. Considering the activity applied, it was possible to conclude that unpredictable situations place the teacher in a risk zone and it should not be avoided, because it can establish a collaborative way of work between teacher and students and also provide learnings to the teacher. In fact, it was what occurred to the teacher and the prospective teacher whose knowledge of the definition of polygons were increased. They could relish the encountered opportunities throughout the implementation of the activities and, therefore, discuss it with students. |
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An investigative activity about polygons: reflection about unpredictabilities that promoted learningsUna actividad de investigación sobre polígonos: reflexiones sobre las imprevisibilidades que promovieron aprendizajes Uma atividade investigativa sobre polígonos: reflexões sobre imprevisibilidades que promoveram aprendizagensAtividades de exploração e investigaçãoImprevisibilidadePolígonosActividades de exploración e investigaciónImprevisibilidadPolígonosInvestigations and explorations activitiesUnpredictabilityPolygonsThe main objective of this text is to introduce a reflection about the unpredictability in Mathematics classes. The episode reported is part of an undergraduate final project of a Mathematics Teacher Education course from a public University, whose main objective was to characterize Mathematics class in which students were involved in situations of investigation, exploration and discoveries. This study is based on the works of Ponte (2003), Ponte, Brocardo and Oliveira (2016) that treat investigations in Mathematics classes and on the studies of Skovsmose (2000) with the concepts of landscape of investigation, risk zone and comfort zone. As a methodology, an exploration and investigation activity about polygons was implemented with 5th grade students from a public school in São Paulo. The development’s characterization of the activity was described after the class in an internship notebook. Considering the activity applied, it was possible to conclude that unpredictable situations place the teacher in a risk zone and it should not be avoided, because it can establish a collaborative way of work between teacher and students and also provide learnings to the teacher. In fact, it was what occurred to the teacher and the prospective teacher whose knowledge of the definition of polygons were increased. They could relish the encountered opportunities throughout the implementation of the activities and, therefore, discuss it with students.El objetivo de este texto es presentar una reflexión acerca de la imprevisibilidad en las clases de Matemática. El episodio relatado es parte del trabajo de conclusión del curso de Licenciatura en Matemática de una Universidad Pública, cuyo objetivo principal era caracterizar una clase de Matemática en la cual los alumnos estuvieran envueltos en situaciones de investigación, exploración y descubrimiento. La fundamentación teórica está basada en el trabajo de Ponte (2003), Ponte, Brocardo y Oliveira (2016) sobre investigaciones en las clases de Matemática y en el trabajo de Skovsmose (2000) con conceptos de escenario de investigación, zona de riesgo y zona de comodidad. Como metodología de estudio, fue implementada una actividad de exploración e investigación sobre polígonos a alumnos de una clase del 5º grado de la enseñanza básica en São Paulo. El desarrollo de la caracterización de la actividad fue descrito en un diario de pasantía. A partir de la actividad aplicada, fue posible concluir que las situaciones de imprevisibilidad ponen el profesor en una zona de riesgo que no se debe evitar, pues establece una colaboración del trabajo entre profesor y alumnos, además de proporcionar aprendizaje al profesor. De hecho, eso ocurrió con la profesora de la turma y la estudiante, las cuales pudieron ampliar sus aprendizajes sobre la definición de polígonos y además aprovechar las oportunidades que surgieron mediante la implementación de la actividad para discutirla con los estudiantes. Este texto tem como objetivo apresentar uma reflexão acerca da imprevisibilidade nas aulas de Matemática. O episódio descrito, neste relato de experiência, é parte de um trabalho de conclusão do curso de Licenciatura em Matemática da Universidade de São Paulo, o qual teve como objetivo principal caracterizar uma aula de Matemática em que os alunos estivessem envolvidos em situações de investigação, exploração e descobrimento. A fundamentação teórica está pautada, principalmente, nos trabalhos de Ponte (2003), Ponte, Brocardo e Oliveira (2016) sobre investigações nas aulas de Matemática e no trabalho de Skovsmose (2000), com os conceitos de cenário de investigação, zona de risco e zona de conforto. Como metodologia do estudo, foi implementada uma atividade de exploração e investigação sobre polígonos com os alunos de uma turma do 5º ano do Ensino Fundamental de uma escola pública em São Paulo. A caracterização do desenvolvimento da atividade foi descrito, logo após a realização da aula, em um diário de campo. A partir da atividade implementada, foi possível concluir que as situações de imprevisibilidade colocam o professor numa zona de risco e essa não deve ser evitada, pois ela pode estabelecer uma forma colaborativa de trabalho entre professor e alunos e proporcionar aprendizagens também para o professor. De fato, foi o que ocorreu com a professora da turma e a licencianda, as quais ampliaram seus conhecimentos sobre a definição de polígono e aproveitaram as oportunidades que surgiram mediante a implementação da atividade para discuti-la com os alunos.Sociedade Brasileira de Educação Matemática (SBEM)2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/ziphttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/13410.37001/remat25269062v17id437Revista de Educação Matemática; Vol. 18 (2021): Publicação contínua; e021006Revista de Educação Matemática; Vol. 18 (2021): Publicação contínua; e021006Revista de Educação Matemática; v. 18 (2021): Publicação contínua; e0210062526-9062reponame:Revista de Educação Matemática (Online)instname:Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)instacron:SBEMporhttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/148https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/479https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/498https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/517https://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessRubim, AndressaFernandes, MaíraMilani, Raquel2023-07-16T02:36:42Zoai:ojs2.www.revistasbemsp.com.br:article/134Revistahttps://www.revistasbemsp.com.br/index.php/REMat-SPONGhttps://www.revistasbemsp.com.br/index.php/REMat-SP/oaidouglas.tinti@unicid.edu.br2526-90621676-8868opendoar:2023-07-16T02:36:42Revista de Educação Matemática (Online) - Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF)false |
dc.title.none.fl_str_mv |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings Una actividad de investigación sobre polígonos: reflexiones sobre las imprevisibilidades que promovieron aprendizajes Uma atividade investigativa sobre polígonos: reflexões sobre imprevisibilidades que promoveram aprendizagens |
title |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings |
spellingShingle |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings Rubim, Andressa Atividades de exploração e investigação Imprevisibilidade Polígonos Actividades de exploración e investigación Imprevisibilidad Polígonos Investigations and explorations activities Unpredictability Polygons |
title_short |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings |
title_full |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings |
title_fullStr |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings |
title_full_unstemmed |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings |
title_sort |
An investigative activity about polygons: reflection about unpredictabilities that promoted learnings |
author |
Rubim, Andressa |
author_facet |
Rubim, Andressa Fernandes, Maíra Milani, Raquel |
author_role |
author |
author2 |
Fernandes, Maíra Milani, Raquel |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Rubim, Andressa Fernandes, Maíra Milani, Raquel |
dc.subject.por.fl_str_mv |
Atividades de exploração e investigação Imprevisibilidade Polígonos Actividades de exploración e investigación Imprevisibilidad Polígonos Investigations and explorations activities Unpredictability Polygons |
topic |
Atividades de exploração e investigação Imprevisibilidade Polígonos Actividades de exploración e investigación Imprevisibilidad Polígonos Investigations and explorations activities Unpredictability Polygons |
description |
The main objective of this text is to introduce a reflection about the unpredictability in Mathematics classes. The episode reported is part of an undergraduate final project of a Mathematics Teacher Education course from a public University, whose main objective was to characterize Mathematics class in which students were involved in situations of investigation, exploration and discoveries. This study is based on the works of Ponte (2003), Ponte, Brocardo and Oliveira (2016) that treat investigations in Mathematics classes and on the studies of Skovsmose (2000) with the concepts of landscape of investigation, risk zone and comfort zone. As a methodology, an exploration and investigation activity about polygons was implemented with 5th grade students from a public school in São Paulo. The development’s characterization of the activity was described after the class in an internship notebook. Considering the activity applied, it was possible to conclude that unpredictable situations place the teacher in a risk zone and it should not be avoided, because it can establish a collaborative way of work between teacher and students and also provide learnings to the teacher. In fact, it was what occurred to the teacher and the prospective teacher whose knowledge of the definition of polygons were increased. They could relish the encountered opportunities throughout the implementation of the activities and, therefore, discuss it with students. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 |
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://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134 10.37001/remat25269062v17id437 |
url |
https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134 |
identifier_str_mv |
10.37001/remat25269062v17id437 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/148 https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/479 https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/498 https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/134/517 |
dc.rights.driver.fl_str_mv |
https://creativecommons.org/licenses/by-nc-nd/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf application/zip |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Educação Matemática (SBEM) |
publisher.none.fl_str_mv |
Sociedade Brasileira de Educação Matemática (SBEM) |
dc.source.none.fl_str_mv |
Revista de Educação Matemática; Vol. 18 (2021): Publicação contínua; e021006 Revista de Educação Matemática; Vol. 18 (2021): Publicação contínua; e021006 Revista de Educação Matemática; v. 18 (2021): Publicação contínua; e021006 2526-9062 reponame:Revista de Educação Matemática (Online) instname:Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF) instacron:SBEM |
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Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF) |
instacron_str |
SBEM |
institution |
SBEM |
reponame_str |
Revista de Educação Matemática (Online) |
collection |
Revista de Educação Matemática (Online) |
repository.name.fl_str_mv |
Revista de Educação Matemática (Online) - Sociedade Brasileira de Educação Matemática, Brasília (SBEM-DF) |
repository.mail.fl_str_mv |
douglas.tinti@unicid.edu.br |
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1798313494841393152 |