Representaciones semióticas en números racionales

This research analyzed the semiotic representations that students handle in the conceptualization of rational numbers; it was carried out with seventh grade students of a private school in the city of Tunja (Boyacá), who presented difficulty in the conceptual apprehension of the mathematical object,...

Full description

Autores:
Tipo de recurso:
Fecha de publicación:
2022
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/9982
Acceso en línea:
https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966
https://repositorio.uptc.edu.co/handle/001/9982
Palabra clave:
Aprendizaje
representaciones semióticas
tratamientos
conversiones
números racionales
Rights
License
Derechos de autor 2022 Revista Habitus: Semilleros de investigación
id REPOUPTC2_3bfde49a8ff14fafd13fa7aafddcb2df
oai_identifier_str oai:repositorio.uptc.edu.co:001/9982
network_acronym_str REPOUPTC2
network_name_str RiUPTC: Repositorio Institucional UPTC
repository_id_str
spelling 2022-08-012024-07-05T17:07:13Z2024-07-05T17:07:13Zhttps://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/1396610.19053/22158391.13966https://repositorio.uptc.edu.co/handle/001/9982This research analyzed the semiotic representations that students handle in the conceptualization of rational numbers; it was carried out with seventh grade students of a private school in the city of Tunja (Boyacá), who presented difficulty in the conceptual apprehension of the mathematical object, since sometimes they did not use at least one of the three cognitive actions related to semiosis denominated by Duval (2004) as identification, treatment and conversion; that is, they did not find the adequate semiosis to reach the noesis (Duval, 2006). The study was conducted from a qualitative approach, based on action research, following the spiral of Carr and Kemmis (1983) and the theory on which it was based was Duval's Semiotic Representations (2004), where cognitive actions were observed, described and interpreted. The results show that the register of semiotic representation most handled by the students corresponds to the graphic scheme where the representation in the form of a cake predominates from the part-whole meaning, an interpretation that generated obstacles and artificiality in the conceptualization, in addition to establishing treatments in the arithmetic register and conversions between the registers of common language, the arithmetic and the graphic.Esta investigación analizó las representaciones semióticas de estudiantes en la conceptualización de los números racionales. Se realizó con estudiantes de grado séptimo de un colegio privado de Tunja, Boyacá, los cuales presentaron dificultad en la aprehensión conceptual del objeto matemático, dado que en ocasiones no emplearon por lo menos una de las tres acciones cognitivas relacionadas con la semiosis de identificación, tratamiento y conversión. Es decir, no encuentran la semiosis adecuada para alcanzar la noesis. El estudio se realizó desde el enfoque cualitativo y la investigación acción, según la espiral de Carr y Kemmis. La teoría de base fue la de representaciones semióticas de Duval, con la que se observaron, se describieron y se interpretaron las acciones cognitivas. Los resultados muestran que el registro de representación semiótica más manejado por los estudiantes es el esquema gráfico, en el que predomina la representación en forma de torta desde el significado parte-todo. Esta interpretación generó obstáculos y artificialidad en la conceptualización. Además, se establecieron tratamientos en el registro aritmético y conversiones entre los registros del lenguaje común, el aritmético y el gráfico.application/pdftext/xmlspaspaUptchttps://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966/11970https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966/13460Derechos de autor 2022 Revista Habitus: Semilleros de investigaciónhttps://creativecommons.org/licenses/by-nc-nd/4.0http://purl.org/coar/access_right/c_abf49http://purl.org/coar/access_right/c_abf2Revista Habitus: Semilleros de investigación; Vol. 2 Núm. 3 (2022); e139662745-21662215-8391Aprendizajerepresentaciones semióticastratamientosconversionesnúmeros racionalesRepresentaciones semióticas en números racionalesinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a132http://purl.org/coar/version/c_970fb48d4fbd8a85Granados Niño, Nancy JohanaJiménez Espinosa, Alfonso001/9982oai:repositorio.uptc.edu.co:001/99822025-07-18 11:58:27.806metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.es-ES.fl_str_mv Representaciones semióticas en números racionales
title Representaciones semióticas en números racionales
spellingShingle Representaciones semióticas en números racionales
Aprendizaje
representaciones semióticas
tratamientos
conversiones
números racionales
title_short Representaciones semióticas en números racionales
title_full Representaciones semióticas en números racionales
title_fullStr Representaciones semióticas en números racionales
title_full_unstemmed Representaciones semióticas en números racionales
title_sort Representaciones semióticas en números racionales
dc.subject.es-ES.fl_str_mv Aprendizaje
representaciones semióticas
tratamientos
conversiones
números racionales
topic Aprendizaje
representaciones semióticas
tratamientos
conversiones
números racionales
description This research analyzed the semiotic representations that students handle in the conceptualization of rational numbers; it was carried out with seventh grade students of a private school in the city of Tunja (Boyacá), who presented difficulty in the conceptual apprehension of the mathematical object, since sometimes they did not use at least one of the three cognitive actions related to semiosis denominated by Duval (2004) as identification, treatment and conversion; that is, they did not find the adequate semiosis to reach the noesis (Duval, 2006). The study was conducted from a qualitative approach, based on action research, following the spiral of Carr and Kemmis (1983) and the theory on which it was based was Duval's Semiotic Representations (2004), where cognitive actions were observed, described and interpreted. The results show that the register of semiotic representation most handled by the students corresponds to the graphic scheme where the representation in the form of a cake predominates from the part-whole meaning, an interpretation that generated obstacles and artificiality in the conceptualization, in addition to establishing treatments in the arithmetic register and conversions between the registers of common language, the arithmetic and the graphic.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2024-07-05T17:07:13Z
dc.date.available.none.fl_str_mv 2024-07-05T17:07:13Z
dc.date.none.fl_str_mv 2022-08-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a132
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966
10.19053/22158391.13966
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/9982
url https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966
https://repositorio.uptc.edu.co/handle/001/9982
identifier_str_mv 10.19053/22158391.13966
dc.language.none.fl_str_mv spa
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966/11970
https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966/13460
dc.rights.es-ES.fl_str_mv Derechos de autor 2022 Revista Habitus: Semilleros de investigación
https://creativecommons.org/licenses/by-nc-nd/4.0
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf49
rights_invalid_str_mv Derechos de autor 2022 Revista Habitus: Semilleros de investigación
https://creativecommons.org/licenses/by-nc-nd/4.0
http://purl.org/coar/access_right/c_abf49
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
text/xml
dc.publisher.es-ES.fl_str_mv Uptc
dc.source.es-ES.fl_str_mv Revista Habitus: Semilleros de investigación; Vol. 2 Núm. 3 (2022); e13966
dc.source.none.fl_str_mv 2745-2166
2215-8391
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
_version_ 1839633862684049408