Reference meanings of the Group object

The objective of this article is to answer the question: What is the meaning of the mathematical object group? For this, the Ontosemiotic Approach to Knowledge and Mathematical Instruction is taken into account as a theoretical reference. In this direction, a synthesis of the reconstruction of the g...

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Main Authors:	Sepúlveda-Delgado, Omaida, Suárez-Aguilar, Zagalo Enrique, Pino-Fan, Luis Roberto
Format:	Online
Language:	spa
Published:	Universidad Pedagógica y Tecnológica de Colombia 2021
Subjects:	group; meanings; epistemology; setting; ontology; semiotics grupo; significados; epistemología; configuración; ontología; semiótica
Online Access:	https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/12757
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author	Sepúlveda-Delgado, Omaida Suárez-Aguilar, Zagalo Enrique Pino-Fan, Luis Roberto
author_facet	Sepúlveda-Delgado, Omaida Suárez-Aguilar, Zagalo Enrique Pino-Fan, Luis Roberto
author_sort	Sepúlveda-Delgado, Omaida
collection	OJS
description	The objective of this article is to answer the question: What is the meaning of the mathematical object group? For this, the Ontosemiotic Approach to Knowledge and Mathematical Instruction is taken into account as a theoretical reference. In this direction, a synthesis of the reconstruction of the global meaning of the Group object and of the reference meanings given in two classic books (Herstein and Gallian) and in two contemporary books (Lezama and Caicedo) is presented, following the methodology of semiotic analysis. of texts, proposed by this approach. As results, the meanings of the Group object, both global and partial, are presented, identified in books where it is evident that these intend to arrive at work with the meaning "Abstract"; and problem-situations are proposed as a teaching strategy to promote the understanding of partial meanings identified in the epistemic configurations, emerging from the epistemological and historical study. The study of the meanings of this object is important in the design of the instruction to decide which of these are implemented in the instructional process through the mathematical practices that motivated its development.
format	Online
id	oai:oai.revistas.uptc.edu.co:article-12757
institution	Revista de Investigación, Desarrollo e Innovación (RIDI)
language	spa
publishDate	2021
publisher	Universidad Pedagógica y Tecnológica de Colombia
record_format	ojs
spelling	oai:oai.revistas.uptc.edu.co:article-127572021-12-10T03:18:45Z Reference meanings of the Group object Significados de referencia del objeto Grupo Sepúlveda-Delgado, Omaida Suárez-Aguilar, Zagalo Enrique Pino-Fan, Luis Roberto group; meanings; epistemology; setting; ontology; semiotics grupo; significados; epistemología; configuración; ontología; semiótica The objective of this article is to answer the question: What is the meaning of the mathematical object group? For this, the Ontosemiotic Approach to Knowledge and Mathematical Instruction is taken into account as a theoretical reference. In this direction, a synthesis of the reconstruction of the global meaning of the Group object and of the reference meanings given in two classic books (Herstein and Gallian) and in two contemporary books (Lezama and Caicedo) is presented, following the methodology of semiotic analysis. of texts, proposed by this approach. As results, the meanings of the Group object, both global and partial, are presented, identified in books where it is evident that these intend to arrive at work with the meaning "Abstract"; and problem-situations are proposed as a teaching strategy to promote the understanding of partial meanings identified in the epistemic configurations, emerging from the epistemological and historical study. The study of the meanings of this object is important in the design of the instruction to decide which of these are implemented in the instructional process through the mathematical practices that motivated its development. El objetivo de este artículo es responder la pregunta: ¿Cuál es el significado del objeto matemático Grupo? Para esto, se tiene en cuenta como referente teórico el Enfoque Ontosemiótico del Conocimiento y la Instrucción matemática. En esta dirección, se presenta una síntesis de la reconstrucción del significado global del objeto Grupo y de los significados de referencia dados en dos libros clásicos (Herstein y Gallian) y en dos libros contemporáneos (Lezama y Caicedo), siguiendo la metodología del análisis semiótico de textos, propuesta por dicho enfoque. Como resultado, se presentan los significados del objeto Grupo tanto global como los parciales, identificados en libros, donde se evidencia que estos pretenden llegar al trabajo con el significado “Abstracto”. Además, se proponen situaciones-problemas como estrategia de enseñanza para promover la comprensión de significados parciales identificados en las configuraciones epistémicas, emergentes del estudio epistemológico e histórico. El estudio de los significados de este objeto es importante en el diseño de la instrucción, para decidir cuáles de estos se implementan en el proceso de instrucción a través de las prácticas matemáticas que motivaron su desarrollo. Universidad Pedagógica y Tecnológica de Colombia 2021-02-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/xml https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/12757 10.19053/20278306.v11.n2.2021.12757 Revista de Investigación, Desarrollo e Innovación; Vol. 11 No. 2 (2021): Enero-Junio; 297-318 Revista de Investigación, Desarrollo e Innovación; Vol. 11 Núm. 2 (2021): Enero-Junio; 297-318 2389-9417 2027-8306 spa https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/12757/10604 https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/12757/11257 Derechos de autor 2021 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
spellingShingle	group; meanings; epistemology; setting; ontology; semiotics grupo; significados; epistemología; configuración; ontología; semiótica Sepúlveda-Delgado, Omaida Suárez-Aguilar, Zagalo Enrique Pino-Fan, Luis Roberto Reference meanings of the Group object
title	Reference meanings of the Group object
title_alt	Significados de referencia del objeto Grupo
title_full	Reference meanings of the Group object
title_fullStr	Reference meanings of the Group object
title_full_unstemmed	Reference meanings of the Group object
title_short	Reference meanings of the Group object
title_sort	reference meanings of the group object
topic	group; meanings; epistemology; setting; ontology; semiotics grupo; significados; epistemología; configuración; ontología; semiótica
topic_facet	group; meanings; epistemology; setting; ontology; semiotics grupo; significados; epistemología; configuración; ontología; semiótica
url	https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/12757
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