Teaching of Fractal Geometry in Basic Education: a systematic review

Detalhes bibliográficos
Autor(a) principal: Mossulin, Ângela Vieira Leonel
Data de Publicação: 2023
Outros Autores: Medeiros, Luciano Frontino de
Tipo de documento: Artigo
Idioma: por
Título da fonte: Remat (Bento Gonçalves)
Texto Completo: https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6397
Resumo: Fractal Geometry is an area of Mathematics that studies the properties of complex figures that have great aesthetic appeal and, therefore, have the potential to arouse the interest of students. Aiming to obtain an overview of research on the teaching of Mathematics involving Fractal Geometry, within the scope of Basic Education, a systematic review of the literature on the subject is presented here. The bases used were the CAPES Periodicals Portal, Google Scholar and the Brazilian Digital Library of Theses and Dissertations (BDTD/IBICT), within the range from 2018 to 2021, obtaining a preliminary result of 862 studies on the subject, of which 58 were considered relevant. According to the inclusion criteria, allowing theses, dissertations and articles within the scope of Basic Education, 13 studies were obtained that were relevant to the objectives of the review. For the subsequent analysis, the guiding question was established: “How is the teaching of Fractal Geometry in Elementary School II, High School and Youth and Adult Education?”, being proposed 8 complementary questions that allowed consolidating a series of information. Some promising research and application gaps for Mathematics Education were identified, with the possibility of generating significant knowledge from the use and application of Fractal Geometry, effectively in the classroom.
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spelling Teaching of Fractal Geometry in Basic Education: a systematic reviewLa enseñanza de la Geometría Fractal en la Educación Básica: una revisión sistemática de la literaturaO ensino de Geometria Fractal na Educação Básica: uma revisão sistemática de literaturaEducação MatemáticaEnsino de Matem´áticaPesquisa em MatemáticaGeometria FractalMath EducationMath TeachingMathematics ResearchFractal GeometryEducación MatemáticaEnseñanza de las MatemáticasInvestigación MatemáticaGeometría FractalFractal Geometry is an area of Mathematics that studies the properties of complex figures that have great aesthetic appeal and, therefore, have the potential to arouse the interest of students. Aiming to obtain an overview of research on the teaching of Mathematics involving Fractal Geometry, within the scope of Basic Education, a systematic review of the literature on the subject is presented here. The bases used were the CAPES Periodicals Portal, Google Scholar and the Brazilian Digital Library of Theses and Dissertations (BDTD/IBICT), within the range from 2018 to 2021, obtaining a preliminary result of 862 studies on the subject, of which 58 were considered relevant. According to the inclusion criteria, allowing theses, dissertations and articles within the scope of Basic Education, 13 studies were obtained that were relevant to the objectives of the review. For the subsequent analysis, the guiding question was established: “How is the teaching of Fractal Geometry in Elementary School II, High School and Youth and Adult Education?”, being proposed 8 complementary questions that allowed consolidating a series of information. Some promising research and application gaps for Mathematics Education were identified, with the possibility of generating significant knowledge from the use and application of Fractal Geometry, effectively in the classroom.La Geometría Fractal es un área de las Matemáticas que estudia las propiedades de las figuras complejas que tienen un gran atractivo estético y, por tanto, tienen el potencial de despertar el interés de los estudiantes. Con el objetivo de obtener un panorama de las investigaciones sobre la enseñanza de las Matemáticas involucrando la Geometría Fractal, en el ámbito de la Educación Básica, se presenta aquí una revisión sistemática de la literatura sobre el tema. Las bases utilizadas fueron el Portal de Periódicos de la CAPES, Google Scholar y la Biblioteca Digital Brasileña de Tesis y Disertaciones (BDTD/IBICT), en el intervalo de 2018 a 2021, obteniendo un resultado preliminar de 862 estudios sobre el tema, de los cuales 58 fueron considerados importante. De acuerdo con los criterios de inclusión, admitiendo tesis, disertaciones y artículos en el ámbito de la Educación Básica, se obtuvieron 13 estudios pertinentes a los objetivos de la revisión. Para el análisis posterior se estableció la pregunta orientadora: “¿Cómo es la enseñanza de la Geometría Fractal en la Enseñanza Básica II, Secundaria y Educación de Jóvenes y Adultos?”, proponiéndose 8 preguntas complementarias que permitieron consolidar una serie de información. Se identificaron algunos vacíos prometedores de investigación y aplicación para la Educación Matemática, con la posibilidad de generar conocimiento significativo a partir del uso y aplicación de la Geometría Fractal, de manera efectiva en el aula.A Geometria Fractal é uma área da Matemática que estuda as propriedades de figuras complexas que possuem grande apelo estético. Visando obter um panorama das pesquisas quanto ao ensino da Matemática envolvendo a Geometria Fractal, no âmbito da Educação Básica, apresenta-se aqui uma revisão sistemática de literatura referente ao tema, o qual se insere no contexto de um projeto de dissertação de mestrado profissional de um dos autores. As bases utilizadas foram o Portal de Periódicos da CAPES, Google Acadêmico e Biblioteca Digital Brasileira de Teses e Dissertações, dentro do intervalo de 2018 a 2021, obtendo-se um resultado preliminar de 862 estudos sobre o tema, dos quais 58 foram considerados relevantes. De acordo com os critérios de inclusão, permitindo teses, dissertações e artigos no âmbito da Educação Básica, obteve-se 13 estudos relevantes para os objetivos da revisão. Para a subsequente análise, estabeleceu-se a questão norteadora: “Como se dá o ensino da Geometria Fractal no Ensino Fundamental II, Ensino Médio e Educação de Jovens e Adultos?”, sendo propostas 8 questões complementares que permitiram consolidar uma série de informações. Foram identificadas ainda algumas lacunas de pesquisa e aplicação promissoras para a Educação Matemática, com possibilidade de gerar conhecimentos significativos a partir do uso e aplicação da Geometria Fractal, de maneira efetiva em sala de aula.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2023-09-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/639710.35819/remat2023v9i2id6397REMAT: Revista Eletrônica da Matemática; Vol. 9 No. 2 (2023); e2004REMAT: Revista Eletrônica da Matemática; Vol. 9 Núm. 2 (2023); e2004REMAT: Revista Eletrônica da Matemática; v. 9 n. 2 (2023); e20042447-2689reponame:Remat (Bento Gonçalves)instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)instacron:IFRSporhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6397/3446Copyright (c) 2023 REMAT: Revista Eletrônica da Matemáticahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessMossulin, Ângela Vieira LeonelMedeiros, Luciano Frontino de2023-09-20T18:05:18Zoai:ojs2.periodicos.ifrs.edu.br:article/6397Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2023-09-20T18:05:18Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false
dc.title.none.fl_str_mv Teaching of Fractal Geometry in Basic Education: a systematic review
La enseñanza de la Geometría Fractal en la Educación Básica: una revisión sistemática de la literatura
O ensino de Geometria Fractal na Educação Básica: uma revisão sistemática de literatura
title Teaching of Fractal Geometry in Basic Education: a systematic review
spellingShingle Teaching of Fractal Geometry in Basic Education: a systematic review
Mossulin, Ângela Vieira Leonel
Educação Matemática
Ensino de Matem´ática
Pesquisa em Matemática
Geometria Fractal
Math Education
Math Teaching
Mathematics Research
Fractal Geometry
Educación Matemática
Enseñanza de las Matemáticas
Investigación Matemática
Geometría Fractal
title_short Teaching of Fractal Geometry in Basic Education: a systematic review
title_full Teaching of Fractal Geometry in Basic Education: a systematic review
title_fullStr Teaching of Fractal Geometry in Basic Education: a systematic review
title_full_unstemmed Teaching of Fractal Geometry in Basic Education: a systematic review
title_sort Teaching of Fractal Geometry in Basic Education: a systematic review
author Mossulin, Ângela Vieira Leonel
author_facet Mossulin, Ângela Vieira Leonel
Medeiros, Luciano Frontino de
author_role author
author2 Medeiros, Luciano Frontino de
author2_role author
dc.contributor.author.fl_str_mv Mossulin, Ângela Vieira Leonel
Medeiros, Luciano Frontino de
dc.subject.por.fl_str_mv Educação Matemática
Ensino de Matem´ática
Pesquisa em Matemática
Geometria Fractal
Math Education
Math Teaching
Mathematics Research
Fractal Geometry
Educación Matemática
Enseñanza de las Matemáticas
Investigación Matemática
Geometría Fractal
topic Educação Matemática
Ensino de Matem´ática
Pesquisa em Matemática
Geometria Fractal
Math Education
Math Teaching
Mathematics Research
Fractal Geometry
Educación Matemática
Enseñanza de las Matemáticas
Investigación Matemática
Geometría Fractal
description Fractal Geometry is an area of Mathematics that studies the properties of complex figures that have great aesthetic appeal and, therefore, have the potential to arouse the interest of students. Aiming to obtain an overview of research on the teaching of Mathematics involving Fractal Geometry, within the scope of Basic Education, a systematic review of the literature on the subject is presented here. The bases used were the CAPES Periodicals Portal, Google Scholar and the Brazilian Digital Library of Theses and Dissertations (BDTD/IBICT), within the range from 2018 to 2021, obtaining a preliminary result of 862 studies on the subject, of which 58 were considered relevant. According to the inclusion criteria, allowing theses, dissertations and articles within the scope of Basic Education, 13 studies were obtained that were relevant to the objectives of the review. For the subsequent analysis, the guiding question was established: “How is the teaching of Fractal Geometry in Elementary School II, High School and Youth and Adult Education?”, being proposed 8 complementary questions that allowed consolidating a series of information. Some promising research and application gaps for Mathematics Education were identified, with the possibility of generating significant knowledge from the use and application of Fractal Geometry, effectively in the classroom.
publishDate 2023
dc.date.none.fl_str_mv 2023-09-20
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artigo avaliado pelos pares
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6397
10.35819/remat2023v9i2id6397
url https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6397
identifier_str_mv 10.35819/remat2023v9i2id6397
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6397/3446
dc.rights.driver.fl_str_mv Copyright (c) 2023 REMAT: Revista Eletrônica da Matemática
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 REMAT: Revista Eletrônica da Matemática
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
dc.source.none.fl_str_mv REMAT: Revista Eletrônica da Matemática; Vol. 9 No. 2 (2023); e2004
REMAT: Revista Eletrônica da Matemática; Vol. 9 Núm. 2 (2023); e2004
REMAT: Revista Eletrônica da Matemática; v. 9 n. 2 (2023); e2004
2447-2689
reponame:Remat (Bento Gonçalves)
instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron:IFRS
instname_str Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron_str IFRS
institution IFRS
reponame_str Remat (Bento Gonçalves)
collection Remat (Bento Gonçalves)
repository.name.fl_str_mv Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
repository.mail.fl_str_mv ||greice.andreis@caxias.ifrs.edu.br
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