Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment

Detalhes bibliográficos
Autor(a) principal: Rodrigues, Roberta dos Santos
Data de Publicação: 2022
Outros Autores: Lira, Ana Beatriz Pinheiro, Conceição, Ewerly Reis, Souza, Kassio Kevy Alves de, Costa, Thamillie Ketelen da, Feitosa, Francisco Eteval da Silva
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/36205
Resumo: This article aims to analyse the process of instrumentalization of the symbolic artifact 1st degree equation with two unknowns in 8th grade elementary school students. The theoretical framework used was the Instrumentation Theory from the perspective of Pierre Rabardel. With a qualitative approach and an action-research design, the data were collected from observation, audio and video recordings and material produced by the students. Recognizing that the graphic representation of a 1st degree linear equation with two unknowns is a straight line in the Cartesian plane is the main objective of an instrumentalization process of this mathematical object and constitutes the starting point of the phenomenon of Instrumental Genesis. From the observations took, it was possible to point the groups realized that, even though each one has constructed rectangles of different dimensions, what evidently resulted in tables with different values, the algebraic expression to represent the regularity observed in the tables was the same, diverging only in the letters chosen by each group to represent the rectangle dimensions. Moreover, the groups realized their graphic representations diverged only in the chosen points but it was the same line, thus demonstrating the instrumentalization process of the present mathematic object.
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spelling Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environmentInstrumentalización del artefacto simbólico ecuaciones de 1er grado con dos incógnitas en un entorno no digitalInstrumentalização do artefato simbólico equações do 1º grau com duas incógnitas em um ambiente não digitalInstrumentaciónEcuación lineal de primer grado con dos incógnitasRepresentación gráficaArtefacto simbólicoEnseñanza.InstrumentalizaçãoEquação linear de 1º grau com duas incógnitasRepresentação gráficaArtefato simbólicoEnsino.Instrumentation1st degree linear equation with two unknownsGraphic representationTeachingSymbolic artifact.This article aims to analyse the process of instrumentalization of the symbolic artifact 1st degree equation with two unknowns in 8th grade elementary school students. The theoretical framework used was the Instrumentation Theory from the perspective of Pierre Rabardel. With a qualitative approach and an action-research design, the data were collected from observation, audio and video recordings and material produced by the students. Recognizing that the graphic representation of a 1st degree linear equation with two unknowns is a straight line in the Cartesian plane is the main objective of an instrumentalization process of this mathematical object and constitutes the starting point of the phenomenon of Instrumental Genesis. From the observations took, it was possible to point the groups realized that, even though each one has constructed rectangles of different dimensions, what evidently resulted in tables with different values, the algebraic expression to represent the regularity observed in the tables was the same, diverging only in the letters chosen by each group to represent the rectangle dimensions. Moreover, the groups realized their graphic representations diverged only in the chosen points but it was the same line, thus demonstrating the instrumentalization process of the present mathematic object.Este artículo tiene como objetivo analizar el proceso de instrumentalización del artefacto simbólico ecuación de 1° grado con dos incógnitas en estudiantes del 8° año de la enseñanza básica. El marco teórico utilizado fue la Teoría de la Instrumentación desde la perspectiva de Pierre Rabardel. Con un enfoque cualitativo y con un diseño de investigación-acción, los datos fueron recolectados a partir de la observación, grabaciones de audio y video y material producido por los estudiantes. Reconocer que la representación gráfica de una ecuación lineal de primer grado con dos incógnitas es una línea recta en el plano cartesiano es el objetivo principal de un proceso de instrumentalización de este objeto matemático y constituye el punto de partida del fenómeno de la Génesis Instrumental. De las observaciones realizadas en el paso, se pudo evidenciar que los grupos se dieron cuenta de que, si bien cada uno había construido rectángulos de diferentes dimensiones, lo que evidentemente resultó en tablas con diferentes valores, la expresión algebraica para representar la regularidad observada en las tablas era el mismo, solo se diferenciaba en las letras elegidas por cada grupo para representar las dimensiones del rectángulo. Además, los grupos se dieron cuenta de que sus representaciones gráficas diferían sólo en los puntos elegidos, pero que se trataba de la misma línea recta, evidenciando así el proceso de instrumentalización del objeto matemático en cuestión.Este artigo tem como objetivo analisar o processo de instrumentalização do artefato simbólico equação do 1º grau com duas incógnitas em estudantes do 8º ano do ensino fundamental. O referencial teórico utilizado foi a Teoria da Instrumentação sob a ótica de Pierre Rabardel. De abordagem qualitativa e com delineamento de uma pesquisa-ação, os dados foram coletados a partir de observação, registros em áudio e vídeo e material produzido pelos estudantes. Reconhecer que a representação gráfica de uma equação linear de 1º grau com duas incógnitas é uma reta no plano cartesiano é o principal objetivo de um processo de instrumentalização desse objeto matemático e constitui-se como ponto de partida do fenômeno da Gênese Instrumental. A partir das observações feitas da etapa, foi possível evidenciar que os grupos perceberam que, mesmo cada um tendo construído retângulos de dimensões diferentes, o que, evidentemente, resultou em tabelas com valores diferentes, a expressão algébrica para representar a regularidade observada nas tabelas era a mesma, diferindo apenas nas letras escolhidas por cada grupo para representar as dimensões do retângulo. Ademais, os grupos perceberam que suas representações gráficas diferiam apenas nos pontos escolhidos, mas que se tratava da mesma reta, evidenciando, dessa forma, o processo de instrumentalização do objeto matemático em questão.Research, Society and Development2022-10-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/3620510.33448/rsd-v11i14.36205Research, Society and Development; Vol. 11 No. 14; e108111436205Research, Society and Development; Vol. 11 Núm. 14; e108111436205Research, Society and Development; v. 11 n. 14; e1081114362052525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/36205/30245Copyright (c) 2022 Roberta dos Santos Rodrigues; Ana Beatriz Pinheiro Lira; Ewerly Reis Conceição; Kassio Kevy Alves de Souza; Thamillie Ketelen da Costa; Francisco Eteval da Silva Feitosahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessRodrigues, Roberta dos SantosLira, Ana Beatriz PinheiroConceição, Ewerly ReisSouza, Kassio Kevy Alves de Costa, Thamillie Ketelen da Feitosa, Francisco Eteval da Silva2022-11-08T13:36:27Zoai:ojs.pkp.sfu.ca:article/36205Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:50:50.436759Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
Instrumentalización del artefacto simbólico ecuaciones de 1er grado con dos incógnitas en un entorno no digital
Instrumentalização do artefato simbólico equações do 1º grau com duas incógnitas em um ambiente não digital
title Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
spellingShingle Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
Rodrigues, Roberta dos Santos
Instrumentación
Ecuación lineal de primer grado con dos incógnitas
Representación gráfica
Artefacto simbólico
Enseñanza.
Instrumentalização
Equação linear de 1º grau com duas incógnitas
Representação gráfica
Artefato simbólico
Ensino.
Instrumentation
1st degree linear equation with two unknowns
Graphic representation
Teaching
Symbolic artifact.
title_short Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
title_full Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
title_fullStr Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
title_full_unstemmed Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
title_sort Instrumentalization of the symbolic artifact 1st degree equations with two unknowns in a non-digital environment
author Rodrigues, Roberta dos Santos
author_facet Rodrigues, Roberta dos Santos
Lira, Ana Beatriz Pinheiro
Conceição, Ewerly Reis
Souza, Kassio Kevy Alves de
Costa, Thamillie Ketelen da
Feitosa, Francisco Eteval da Silva
author_role author
author2 Lira, Ana Beatriz Pinheiro
Conceição, Ewerly Reis
Souza, Kassio Kevy Alves de
Costa, Thamillie Ketelen da
Feitosa, Francisco Eteval da Silva
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Rodrigues, Roberta dos Santos
Lira, Ana Beatriz Pinheiro
Conceição, Ewerly Reis
Souza, Kassio Kevy Alves de
Costa, Thamillie Ketelen da
Feitosa, Francisco Eteval da Silva
dc.subject.por.fl_str_mv Instrumentación
Ecuación lineal de primer grado con dos incógnitas
Representación gráfica
Artefacto simbólico
Enseñanza.
Instrumentalização
Equação linear de 1º grau com duas incógnitas
Representação gráfica
Artefato simbólico
Ensino.
Instrumentation
1st degree linear equation with two unknowns
Graphic representation
Teaching
Symbolic artifact.
topic Instrumentación
Ecuación lineal de primer grado con dos incógnitas
Representación gráfica
Artefacto simbólico
Enseñanza.
Instrumentalização
Equação linear de 1º grau com duas incógnitas
Representação gráfica
Artefato simbólico
Ensino.
Instrumentation
1st degree linear equation with two unknowns
Graphic representation
Teaching
Symbolic artifact.
description This article aims to analyse the process of instrumentalization of the symbolic artifact 1st degree equation with two unknowns in 8th grade elementary school students. The theoretical framework used was the Instrumentation Theory from the perspective of Pierre Rabardel. With a qualitative approach and an action-research design, the data were collected from observation, audio and video recordings and material produced by the students. Recognizing that the graphic representation of a 1st degree linear equation with two unknowns is a straight line in the Cartesian plane is the main objective of an instrumentalization process of this mathematical object and constitutes the starting point of the phenomenon of Instrumental Genesis. From the observations took, it was possible to point the groups realized that, even though each one has constructed rectangles of different dimensions, what evidently resulted in tables with different values, the algebraic expression to represent the regularity observed in the tables was the same, diverging only in the letters chosen by each group to represent the rectangle dimensions. Moreover, the groups realized their graphic representations diverged only in the chosen points but it was the same line, thus demonstrating the instrumentalization process of the present mathematic object.
publishDate 2022
dc.date.none.fl_str_mv 2022-10-24
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/36205
10.33448/rsd-v11i14.36205
url https://rsdjournal.org/index.php/rsd/article/view/36205
identifier_str_mv 10.33448/rsd-v11i14.36205
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/36205/30245
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. 14; e108111436205
Research, Society and Development; Vol. 11 Núm. 14; e108111436205
Research, Society and Development; v. 11 n. 14; e108111436205
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
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)
repository.mail.fl_str_mv rsd.articles@gmail.com
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