Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry

The aim of this article is to describe the difficulties and barriers presented by a group of Junior School Math teachers during an introductory course on Hyperbolic Geometry. Forty-one Math teachers participated in this research, from cities in the northern region of the state of Paraná, Brazil.  A...

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Autores principales: Lovis, Karla Aparecida, Franco, Valdeni Soliani, Barros, Rui Marcos de Oliveira
Formato: info:eu-repo/semantics/article
Lenguaje:Portugués
Publicado: Universidade Estadual de Campinas 2014
Materias:
Acceso en línea:https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646565
http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/67399
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author Lovis, Karla Aparecida
Franco, Valdeni Soliani
Barros, Rui Marcos de Oliveira
author_facet Lovis, Karla Aparecida
Franco, Valdeni Soliani
Barros, Rui Marcos de Oliveira
author_sort Lovis, Karla Aparecida
collection Repositorio
description The aim of this article is to describe the difficulties and barriers presented by a group of Junior School Math teachers during an introductory course on Hyperbolic Geometry. Forty-one Math teachers participated in this research, from cities in the northern region of the state of Paraná, Brazil.  A mini-course was taught about Hyperbolic Geometry, specifically on Poincaré´s Model and GeoGebra, to obtain data for current research. Teachers´ discourses and activities were recorded for this purpose. From this analysis, it must be highlighted that difficulties and barriers to comprehend basic concepts of Hyperbolic Geometry are related to the representations of geometrical objects in this type of Geometry, as well as to the 'contamination' that Euclidean Geometry provides on learning Hyperbolic Geometry. It was also observed two epistemological barriers: general and verbal.
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spelling clacso-CLACSO673992022-03-21T14:40:10Z Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry Dificuldades e obstáculos apresentados por um grupo de professores de matemática no estudo da Geometria Hiperbólica Lovis, Karla Aparecida Franco, Valdeni Soliani Barros, Rui Marcos de Oliveira Geometry Teaching Hyperbolic Geometry Epistemological barriers and constraints Math education Geometry teaching Hiperbolic geometry Ensino de geometrias. Geometria hiperbólica. Dificuldades e obstáculos epistemológicos. Educação Matemática Ensino de Geometria Geometria Hiperbólica Dificuldades e Obstáculos Epistemológicos The aim of this article is to describe the difficulties and barriers presented by a group of Junior School Math teachers during an introductory course on Hyperbolic Geometry. Forty-one Math teachers participated in this research, from cities in the northern region of the state of Paraná, Brazil.  A mini-course was taught about Hyperbolic Geometry, specifically on Poincaré´s Model and GeoGebra, to obtain data for current research. Teachers´ discourses and activities were recorded for this purpose. From this analysis, it must be highlighted that difficulties and barriers to comprehend basic concepts of Hyperbolic Geometry are related to the representations of geometrical objects in this type of Geometry, as well as to the 'contamination' that Euclidean Geometry provides on learning Hyperbolic Geometry. It was also observed two epistemological barriers: general and verbal. O objetivo deste artigo é descrever as dificuldades e os obstáculos apresentados por um grupo de professores de Matemática da Educação Básica observados durante um minicurso introdutório sobre a Geometria Hiperbólica. Os sujeitos da pesquisa são quarenta e um professores de Matemática de cidades da região norte do estado do Paraná. Para obter os dados da pesquisa, realizou-se um minicurso sobre a Geometria Hiperbólica, especificamente o Modelo de Poincaré, e o GeoGebra, no qual foram gravadas, em áudio e vídeo, as falas dos professores e as atividades por eles realizadas. Da análise, destaca-se que as dificuldades e os obstáculos para a compreensão de conceitos básicos da Geometria Hiperbólica estão relacionados à representação dos objetos geométricos nesta Geometria, bem como à “contaminação” que a Geometria Euclidiana desempenha no momento do aprendizado da Geometria Hiperbólica. Observou-se também dois obstáculos epistemológicos: geral e verbal. 2014-12-10 2022-03-21T14:40:10Z 2022-03-21T14:40:10Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Quantitative investigation Investigação qualitativa https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646565 10.20396/zet.v22i42.8646565 http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/67399 por https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646565/13465 Copyright (c) 2015 Zetetiké: Revista de Educação Matemática application/pdf Universidade Estadual de Campinas Zetetike; Vol. 22 No. 2 (2014): jul./dez. [42]; 11-29 Zetetike; Vol. 22 Núm. 2 (2014): jul./dez. [42]; 11-29 Zetetike; v. 22 n. 2 (2014): jul./dez. [42]; 11-29 2176-1744
spellingShingle Geometry Teaching
Hyperbolic Geometry
Epistemological barriers and constraints
Math education
Geometry teaching
Hiperbolic geometry
Ensino de geometrias. Geometria hiperbólica. Dificuldades e obstáculos epistemológicos.
Educação Matemática
Ensino de Geometria
Geometria Hiperbólica
Dificuldades e Obstáculos Epistemológicos
Lovis, Karla Aparecida
Franco, Valdeni Soliani
Barros, Rui Marcos de Oliveira
Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry
title Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry
title_full Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry
title_fullStr Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry
title_full_unstemmed Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry
title_short Difficulties and barriers presented by a group of Math teachers in the study of Hyperbolic Geometry
title_sort difficulties and barriers presented by a group of math teachers in the study of hyperbolic geometry
topic Geometry Teaching
Hyperbolic Geometry
Epistemological barriers and constraints
Math education
Geometry teaching
Hiperbolic geometry
Ensino de geometrias. Geometria hiperbólica. Dificuldades e obstáculos epistemológicos.
Educação Matemática
Ensino de Geometria
Geometria Hiperbólica
Dificuldades e Obstáculos Epistemológicos
url https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646565
http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/67399