In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept

As teachers of the Analytical Geometry curricular space, corresponding to the first year of the Engineering and Computer Science degrees, in the Facultad de Ingeniería of the Universidad Nacional de Cuyo, we detected as a didactic problem the appropriation by some students of a correct algorithmic m...

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Autores principales: Fitt, Gisela Paola, Raichman, Silvia Raquel
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2023
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Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/38227
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spelling I10-R366-article-382272024-02-01T19:43:37Z In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept En búsqueda de la completitud para mejorar la comprensión, en estudiantes de las carreras de Ingeniería y Licenciatura en Ciencias de la Computación, del concepto de coordenadas de un vector en una base dada Fitt, Gisela Paola Raichman, Silvia Raquel Geometría Analítica Coordenadas de un vector Teoría Antropológica de lo Didáctico Analytical Geometry Coordinates of a vector Anthropological Theory of the Didactic As teachers of the Analytical Geometry curricular space, corresponding to the first year of the Engineering and Computer Science degrees, in the Facultad de Ingeniería of the Universidad Nacional de Cuyo, we detected as a didactic problem the appropriation by some students of a correct algorithmic mechanism that is not necessarily linked to an adequate understanding of the mathematical organization of coordinates of a vector with respect to a base of two-dimensional space. In this article we describe the didactic proposal developed as the final work of the Specialization in Didactics of Mathematics at the Universidad Nacional de San Luis, associated with the aforementioned problem. It arises from a critical analysis of existing materials, available resources and technologies for teaching Analytic Geometry and is based on the Anthropological Theory of Didactics. It consists of four devices that are incorporated at different times of the teaching and learning process within the pedagogical model implemented in the subject. We present the specific objectives and intentions of each proposed activity and describe how we seek to mitigate the didactic problem, improving the deep understanding of mathematical organization in a greater number of students. Como docentes del espacio curricular Geometría Analítica, correspondiente al primer año de las carreras de Ingenierías y de la Licenciatura en Ciencias de la Computación, en Facultad de Ingeniería de la Universidad Nacional de Cuyo, detectamos como problema didáctico la apropiación por parte de algunos estudiantes de un mecanismo algorítmico correcto que no necesariamente está vinculado a una adecuada comprensión de la organización matemática coordenadas de un vector respecto de una base del espacio bidimensional. En este artículo describimos la propuesta didáctica generada para resolver el problema mencionado y desarrollada como trabajo final de Especialización en Didáctica de la Matemática de la Universidad Nacional de San Luis. La misma surge a partir de un análisis crítico de los materiales existentes, los recursos disponibles y de las tecnologías para la enseñanza de la Geometría Analítica, fundamentándose  en la Teoría Antropológica de lo Didáctico. Consta de cuatro dispositivos que se incorporan en diferentes momentos del proceso de enseñanza y aprendizaje dentro del modelo pedagógico implementado en la asignatura. Presentamos los objetivos e intencionalidades específicas de cada actividad propuesta y describimos cómo buscamos atenuar el problema didáctico, mejorando la comprensión profunda de la organización matemática en una mayor cantidad de estudiantes. Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2023-12-28 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf https://revistas.unc.edu.ar/index.php/REM/article/view/38227 10.33044/revem.38227 Revista de Educación Matemática; Vol. 38 Núm. 3 (2023); 4-24 1852-2890 0326-8780 spa https://revistas.unc.edu.ar/index.php/REM/article/view/38227/44333 Derechos de autor 2023 Gisela Paola Fitt, Silvia Raquel Raichman https://creativecommons.org/licenses/by-sa/4.0/
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-366
container_title_str Revista de Educación Matemática
language Español
format Artículo revista
topic Geometría Analítica
Coordenadas de un vector
Teoría Antropológica de lo Didáctico
Analytical Geometry
Coordinates of a vector
Anthropological Theory of the Didactic
spellingShingle Geometría Analítica
Coordenadas de un vector
Teoría Antropológica de lo Didáctico
Analytical Geometry
Coordinates of a vector
Anthropological Theory of the Didactic
Fitt, Gisela Paola
Raichman, Silvia Raquel
In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept
topic_facet Geometría Analítica
Coordenadas de un vector
Teoría Antropológica de lo Didáctico
Analytical Geometry
Coordinates of a vector
Anthropological Theory of the Didactic
author Fitt, Gisela Paola
Raichman, Silvia Raquel
author_facet Fitt, Gisela Paola
Raichman, Silvia Raquel
author_sort Fitt, Gisela Paola
title In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept
title_short In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept
title_full In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept
title_fullStr In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept
title_full_unstemmed In search of completeness to improve understanding, in Engineering and Science Computing Bachelor students, of the vector coordinates in a known basis concept
title_sort in search of completeness to improve understanding, in engineering and science computing bachelor students, of the vector coordinates in a known basis concept
description As teachers of the Analytical Geometry curricular space, corresponding to the first year of the Engineering and Computer Science degrees, in the Facultad de Ingeniería of the Universidad Nacional de Cuyo, we detected as a didactic problem the appropriation by some students of a correct algorithmic mechanism that is not necessarily linked to an adequate understanding of the mathematical organization of coordinates of a vector with respect to a base of two-dimensional space. In this article we describe the didactic proposal developed as the final work of the Specialization in Didactics of Mathematics at the Universidad Nacional de San Luis, associated with the aforementioned problem. It arises from a critical analysis of existing materials, available resources and technologies for teaching Analytic Geometry and is based on the Anthropological Theory of Didactics. It consists of four devices that are incorporated at different times of the teaching and learning process within the pedagogical model implemented in the subject. We present the specific objectives and intentions of each proposed activity and describe how we seek to mitigate the didactic problem, improving the deep understanding of mathematical organization in a greater number of students.
publisher Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
publishDate 2023
url https://revistas.unc.edu.ar/index.php/REM/article/view/38227
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