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,...
| Main Authors: | , |
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| Format: | Online |
| Language: | spa |
| Published: |
Uptc
2022
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| Online Access: | https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966 |
| _version_ | 1801706813126606848 |
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| author | Granados Niño, Nancy Johana Jiménez Espinosa, Alfonso |
| author_facet | Granados Niño, Nancy Johana Jiménez Espinosa, Alfonso |
| author_sort | Granados Niño, Nancy Johana |
| collection | OJS |
| 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. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-13966 |
| institution | Revista Habitus: Semilleros de investigación |
| language | spa |
| publishDate | 2022 |
| publisher | Uptc |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-139662024-03-25T15:52:40Z Representaciones semióticas en números racionales Granados Niño, Nancy Johana Jiménez Espinosa, Alfonso Aprendizaje representaciones semióticas tratamientos conversiones 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, 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. Uptc 2022-08-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/xml https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966 10.19053/22158391.13966 Revista Habitus: Semilleros de investigación; Vol. 2 Núm. 3 (2022); e13966 2745-2166 2215-8391 spa 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 Derechos de autor 2022 Revista Habitus: Semilleros de investigación https://creativecommons.org/licenses/by-nc-nd/4.0 |
| spellingShingle | Aprendizaje representaciones semióticas tratamientos conversiones números racionales Granados Niño, Nancy Johana Jiménez Espinosa, Alfonso Representaciones semióticas en números racionales |
| title | 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_short | Representaciones semióticas en números racionales |
| title_sort | representaciones semioticas en numeros racionales |
| topic | Aprendizaje representaciones semióticas tratamientos conversiones números racionales |
| topic_facet | Aprendizaje representaciones semióticas tratamientos conversiones números racionales |
| url | https://revistas.uptc.edu.co/index.php/semilleros_investigacion/article/view/13966 |
| work_keys_str_mv | AT granadosninonancyjohana representacionessemioticasennumerosracionales AT jimenezespinosaalfonso representacionessemioticasennumerosracionales |
