The study of the graph of exponential functions from the theory of Raymond Duval

Detalhes bibliográficos
Autor(a) principal: Costa, Renata Gaspar da
Data de Publicação: 2022
Outros Autores: Ferreira, Jéssica Lorrany Parente, Azevêdo, Samylla Sousa de Castro, Barbosa, Maria José Bastos, Oliveira, Wellington Rogério de
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/34091
Resumo: Based on the Theory of Registers of Semiotic Representation by Raymond Duval, this research aims to present a study of the sketch of curves of exponential functions starting from the approach of the global interpretation of figural properties. This approach allows a broader look at the function curves compared to the point-to-point approach, since it only considers some specific points of the curve, thus, they end up limiting the interpretation in its entirety. The global interpretation of figural properties establishes correspondences between algebraic and graphic representations, favoring the conversion in the double sense. This is a research with a qualitative approach and bibliographic nature. In view of the above, we conclude that considering the figural properties of the curve makes it possible to visualize it as a whole, allowing the conversion between algebraic and graphical representations to occur in both directions. Note also the use of translation and symmetry as resources allowed the sketch of more complex curves.
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spelling The study of the graph of exponential functions from the theory of Raymond DuvalEl estudio de la gráfica de funciones exponenciales desde la teoría de Raymond DuvalO estudo de gráfico de funções exponenciais a partir da teoria de Raymond DuvalRaymond DuvalTheory of Semiotic Representation RecordsSketch of CurvesExponential Function.Raymond DuvalTeoria dos Registros de Representação SemióticaEsboço de CurvasFunção Exponencial.Raymond DuvalTeoría de los registros de representación semióticaCroquis de CurvasFuncion exponencialFuncion Exponencial.Based on the Theory of Registers of Semiotic Representation by Raymond Duval, this research aims to present a study of the sketch of curves of exponential functions starting from the approach of the global interpretation of figural properties. This approach allows a broader look at the function curves compared to the point-to-point approach, since it only considers some specific points of the curve, thus, they end up limiting the interpretation in its entirety. The global interpretation of figural properties establishes correspondences between algebraic and graphic representations, favoring the conversion in the double sense. This is a research with a qualitative approach and bibliographic nature. In view of the above, we conclude that considering the figural properties of the curve makes it possible to visualize it as a whole, allowing the conversion between algebraic and graphical representations to occur in both directions. Note also the use of translation and symmetry as resources allowed the sketch of more complex curves.Con base en la Teoría de los Registros de Representación Semiótica de Raymond Duval, esta investigación tiene como objetivo presentar un estudio del esquema de curvas de funciones exponenciales a partir del enfoque de la interpretación global de las propiedades figurativas. Este enfoque permite una mirada más amplia de las curvas de funciones en comparación con el enfoque punto a punto, ya que solo considera algunos puntos específicos de la curva, por lo que terminan limitando la interpretación en su totalidad. La interpretación global de las propiedades figurativas establece correspondencias entre las representaciones algebraicas y gráficas, favoreciendo la conversión en el doble sentido. Se trata de una investigación con enfoque cualitativo y carácter bibliográfico. En vista de lo anterior, concluimos que considerar las propiedades figurativas de la curva permite visualizarla como un todo, permitiendo que la conversión entre representaciones algebraicas y gráficas ocurra en ambas direcciones. Nótese también el uso de la traslación y la simetría como recursos que permitieron el esbozo de curvas más complejas.Baseado na Teoria dos Registros de Representação Semiótica de Raymond Duval, esta pesquisa objetiva apresentar um estudo do esboço de curvas de funções exponenciais partindo da abordagem da interpretação global de propriedades figurais. Essa abordagem permite um olhar mais amplo para as curvas de funções se comparado com a abordagem ponto a ponto, uma vez que essa só considera alguns pontos específicos da curva, logo, acabam limitando a interpretação em sua totalidade. A interpretação global de propriedade figurais estabelece correspondências entre as representações algébrica e gráfica, favorecendo a conversão no duplo sentido. Trata-se de uma pesquisa com abordagem qualitativa e natureza bibliográfica. Diante do exposto, concluímos que considerar as propriedades figurais da curva possibilita a visualização dessa como um todo, permitindo que a conversão entre as representações algébricas e gráfica ocorram no duplo sentido. Nota-se também o uso da translação e simetria como recursos permitiu o esboço de curvas mais complexas.Research, Society and Development2022-09-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/3409110.33448/rsd-v11i11.34091Research, Society and Development; Vol. 11 No. 11; e574111134091Research, Society and Development; Vol. 11 Núm. 11; e574111134091Research, Society and Development; v. 11 n. 11; e5741111340912525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/34091/28738Copyright (c) 2022 Renata Gaspar da Costa; Jéssica Lorrany Parente Ferreira; Samylla Sousa de Castro Azevêdo; Maria José Bastos Barbosa; Wellington Rogério de Oliveirahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessCosta, Renata Gaspar da Ferreira, Jéssica Lorrany Parente Azevêdo, Samylla Sousa de CastroBarbosa, Maria José Bastos Oliveira, Wellington Rogério de 2022-09-05T13:24:46Zoai:ojs.pkp.sfu.ca:article/34091Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:49:31.930886Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv The study of the graph of exponential functions from the theory of Raymond Duval
El estudio de la gráfica de funciones exponenciales desde la teoría de Raymond Duval
O estudo de gráfico de funções exponenciais a partir da teoria de Raymond Duval
title The study of the graph of exponential functions from the theory of Raymond Duval
spellingShingle The study of the graph of exponential functions from the theory of Raymond Duval
Costa, Renata Gaspar da
Raymond Duval
Theory of Semiotic Representation Records
Sketch of Curves
Exponential Function.
Raymond Duval
Teoria dos Registros de Representação Semiótica
Esboço de Curvas
Função Exponencial.
Raymond Duval
Teoría de los registros de representación semiótica
Croquis de Curvas
Funcion exponencial
Funcion Exponencial.
title_short The study of the graph of exponential functions from the theory of Raymond Duval
title_full The study of the graph of exponential functions from the theory of Raymond Duval
title_fullStr The study of the graph of exponential functions from the theory of Raymond Duval
title_full_unstemmed The study of the graph of exponential functions from the theory of Raymond Duval
title_sort The study of the graph of exponential functions from the theory of Raymond Duval
author Costa, Renata Gaspar da
author_facet Costa, Renata Gaspar da
Ferreira, Jéssica Lorrany Parente
Azevêdo, Samylla Sousa de Castro
Barbosa, Maria José Bastos
Oliveira, Wellington Rogério de
author_role author
author2 Ferreira, Jéssica Lorrany Parente
Azevêdo, Samylla Sousa de Castro
Barbosa, Maria José Bastos
Oliveira, Wellington Rogério de
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Costa, Renata Gaspar da
Ferreira, Jéssica Lorrany Parente
Azevêdo, Samylla Sousa de Castro
Barbosa, Maria José Bastos
Oliveira, Wellington Rogério de
dc.subject.por.fl_str_mv Raymond Duval
Theory of Semiotic Representation Records
Sketch of Curves
Exponential Function.
Raymond Duval
Teoria dos Registros de Representação Semiótica
Esboço de Curvas
Função Exponencial.
Raymond Duval
Teoría de los registros de representación semiótica
Croquis de Curvas
Funcion exponencial
Funcion Exponencial.
topic Raymond Duval
Theory of Semiotic Representation Records
Sketch of Curves
Exponential Function.
Raymond Duval
Teoria dos Registros de Representação Semiótica
Esboço de Curvas
Função Exponencial.
Raymond Duval
Teoría de los registros de representación semiótica
Croquis de Curvas
Funcion exponencial
Funcion Exponencial.
description Based on the Theory of Registers of Semiotic Representation by Raymond Duval, this research aims to present a study of the sketch of curves of exponential functions starting from the approach of the global interpretation of figural properties. This approach allows a broader look at the function curves compared to the point-to-point approach, since it only considers some specific points of the curve, thus, they end up limiting the interpretation in its entirety. The global interpretation of figural properties establishes correspondences between algebraic and graphic representations, favoring the conversion in the double sense. This is a research with a qualitative approach and bibliographic nature. In view of the above, we conclude that considering the figural properties of the curve makes it possible to visualize it as a whole, allowing the conversion between algebraic and graphical representations to occur in both directions. Note also the use of translation and symmetry as resources allowed the sketch of more complex curves.
publishDate 2022
dc.date.none.fl_str_mv 2022-09-03
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://rsdjournal.org/index.php/rsd/article/view/34091
10.33448/rsd-v11i11.34091
url https://rsdjournal.org/index.php/rsd/article/view/34091
identifier_str_mv 10.33448/rsd-v11i11.34091
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/34091/28738
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv 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 Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 11 No. 11; e574111134091
Research, Society and Development; Vol. 11 Núm. 11; e574111134091
Research, Society and Development; v. 11 n. 11; e574111134091
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
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instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
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