THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS

Detalhes bibliográficos
Autor(a) principal: Silveira, Arielle Rodrigues
Data de Publicação: 2023
Outros Autores: Mariana Moran
Tipo de documento: Artigo
Idioma: por
Título da fonte: Vitruvian Cogitationes
Texto Completo: https://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/article/view/69584
Resumo: The current article presents the results obtained during a scientific initiation research, whose objective was to analyze two collections of textbooks about the teaching of Fractal Geometry with the support of the Anthropological Theory of Didactics, by Yves Chevallard. Studying elements of Fractal Geometry fosters the development of geometric thinking and the exploration of diverse mathematical concepts through geometric constructions that are often appealing to students due to the visual beauty inherent in fractals. Furthermore, we inform that in addition to the visual beauty of fractals, we took as a principle in this work a Mathematical Organization, base don the investigation of the types of tasks included in the approaches to Fractal Geometry in textbooks of the New High School, approved by the Plano Nacional do Livro Didático (PNLD) of 2021. By investigatingand classifying such types of tasks, we identified skills and objects f knowledge present in the National Common Curricular Base.
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spelling THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS LA GEOMETRÍA FRACTAL Y LOS TIPOS DE TAREFAS PROPUESTAS EM LOS LIBROS DE TEXTO DE ESCUELA SECUNDARIAA GEOMETRIA DOS FRACTAIS E OS TIPOS DE TAREFAS PROPOSTOS EM LIVROS DIDÁTICOS DO ENSINO MÉDIO Fractal GeometryAnthropological Theory of DidacticsTextbooksGeometría FractalTeoría Antropológica de la DidácticaLibro DidácticoGeometria dos fractaisTeoria Antropológica do DidáticoLivro DidáticoThe current article presents the results obtained during a scientific initiation research, whose objective was to analyze two collections of textbooks about the teaching of Fractal Geometry with the support of the Anthropological Theory of Didactics, by Yves Chevallard. Studying elements of Fractal Geometry fosters the development of geometric thinking and the exploration of diverse mathematical concepts through geometric constructions that are often appealing to students due to the visual beauty inherent in fractals. Furthermore, we inform that in addition to the visual beauty of fractals, we took as a principle in this work a Mathematical Organization, base don the investigation of the types of tasks included in the approaches to Fractal Geometry in textbooks of the New High School, approved by the Plano Nacional do Livro Didático (PNLD) of 2021. By investigatingand classifying such types of tasks, we identified skills and objects f knowledge present in the National Common Curricular Base. El presente artículo presenta los resultados obtenidos durante uma investigación científica de iniciación, cuyo objetivo fue analizar dos colecciones de libros de texto sobre educación en Geometría Fractal con el respaldo de la Teoría Antropológica de la Didáctica, de Yves Chevallard. El estudio de elementos de la Geometría Fractal promueve el pensamiento geométrico, así como la exploración de diferentes conceptos matemáticos a través de construcciones geométricas que generalmente resultan atractivas para los estudiantes debido a la belleza visual presente en los fractales. Además, informamos que tomamos como principio en este trabajo una Organización Matemática, basada en la investigación de tipos de tareas en enfoques de la Geometría Fractal en los libros de texto de la Nueva Educación Secundaria, aprobados por el Programa Nacional de Libro y Material Didáctico de 2021. Al investigar y clasificar estas tareas, identificamos habilidades y objetos de conocimiento presentes en la Base Nacional Común Curricular.O presente artigo detém resultados obtidos durante uma pesquisa de iniciação científica, cujo objetivo foi analisar duas coleções de livros didáticos do Ensino Médio acerca do ensino da geometria dos fractais. O estudo de elementos da geometria dos fractais propicia o desenvolvimento do pensamento geométrico, bem como a exploração de diferentes conceitos matemáticos através de construções geométricas que, geralmente são atrativas aos alunos devido a beleza visual e seu padrão de regularidade, presentes nos fractais. Outrossim, além da beleza visual dos fractais, recorreu-se como aporte teórico e metodológico, à Teoria Antropológica do Didático, de Yves Chevallard, a qual possibilitou uma Organização Matemática com base na investigação dos tipos de tarefas contemplados nas abordagens de geometria dos fractais nos livros didáticos analisados e aprovados pelo Programa Nacional do Livro e do Material Didático (PNLD) de 2021. Ao investigar e classificar tais tipos de tarefas, identificou-se habilidades e objetos de conhecimento presentes na Base Nacional Comum Curricular (BNCC).Eduem2023-09-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/article/view/6958410.4025/rvc.v4i2.69584Vitruvian Cogitationes; v. 4 n. 2 (2023); 62-822675-9616reponame:Vitruvian Cogitationesinstname:Universidade Estadual de Maringá (UEM)instacron:UEMporhttps://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/article/view/69584/751375156421Copyright (c) 2023 Revista Vitruvian Cogitationesinfo:eu-repo/semantics/openAccessSilveira, Arielle RodriguesMariana Moran2023-11-11T19:58:11Zoai:periodicos.uem.br/ojs:article/69584Revistahttps://periodicos.uem.br/ojs/index.php/revisvitruscogitationesPUBhttps://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/oairvc@uem.br2675-96162675-9616opendoar:2023-11-11T19:58:11Vitruvian Cogitationes - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
LA GEOMETRÍA FRACTAL Y LOS TIPOS DE TAREFAS PROPUESTAS EM LOS LIBROS DE TEXTO DE ESCUELA SECUNDARIA
A GEOMETRIA DOS FRACTAIS E OS TIPOS DE TAREFAS PROPOSTOS EM LIVROS DIDÁTICOS DO ENSINO MÉDIO
title THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
spellingShingle THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
Silveira, Arielle Rodrigues
Fractal Geometry
Anthropological Theory of Didactics
Textbooks
Geometría Fractal
Teoría Antropológica de la Didáctica
Libro Didáctico
Geometria dos fractais
Teoria Antropológica do Didático
Livro Didático
title_short THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
title_full THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
title_fullStr THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
title_full_unstemmed THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
title_sort THE FRACTAL GEOMETRY AND THE TYPES OF TASKS PROPOSED IN HIGH SCHOOL TEXTBOOKS
author Silveira, Arielle Rodrigues
author_facet Silveira, Arielle Rodrigues
Mariana Moran
author_role author
author2 Mariana Moran
author2_role author
dc.contributor.author.fl_str_mv Silveira, Arielle Rodrigues
Mariana Moran
dc.subject.por.fl_str_mv Fractal Geometry
Anthropological Theory of Didactics
Textbooks
Geometría Fractal
Teoría Antropológica de la Didáctica
Libro Didáctico
Geometria dos fractais
Teoria Antropológica do Didático
Livro Didático
topic Fractal Geometry
Anthropological Theory of Didactics
Textbooks
Geometría Fractal
Teoría Antropológica de la Didáctica
Libro Didáctico
Geometria dos fractais
Teoria Antropológica do Didático
Livro Didático
description The current article presents the results obtained during a scientific initiation research, whose objective was to analyze two collections of textbooks about the teaching of Fractal Geometry with the support of the Anthropological Theory of Didactics, by Yves Chevallard. Studying elements of Fractal Geometry fosters the development of geometric thinking and the exploration of diverse mathematical concepts through geometric constructions that are often appealing to students due to the visual beauty inherent in fractals. Furthermore, we inform that in addition to the visual beauty of fractals, we took as a principle in this work a Mathematical Organization, base don the investigation of the types of tasks included in the approaches to Fractal Geometry in textbooks of the New High School, approved by the Plano Nacional do Livro Didático (PNLD) of 2021. By investigatingand classifying such types of tasks, we identified skills and objects f knowledge present in the National Common Curricular Base.
publishDate 2023
dc.date.none.fl_str_mv 2023-09-12
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://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/article/view/69584
10.4025/rvc.v4i2.69584
url https://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/article/view/69584
identifier_str_mv 10.4025/rvc.v4i2.69584
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.uem.br/ojs/index.php/revisvitruscogitationes/article/view/69584/751375156421
dc.rights.driver.fl_str_mv Copyright (c) 2023 Revista Vitruvian Cogitationes
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 Revista Vitruvian Cogitationes
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Eduem
publisher.none.fl_str_mv Eduem
dc.source.none.fl_str_mv Vitruvian Cogitationes; v. 4 n. 2 (2023); 62-82
2675-9616
reponame:Vitruvian Cogitationes
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Vitruvian Cogitationes
collection Vitruvian Cogitationes
repository.name.fl_str_mv Vitruvian Cogitationes - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv rvc@uem.br
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