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Interpretación de transformaciones lineales en el plano utilizando GeoGebra.

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Title: Interpretación de transformaciones lineales en el plano utilizando GeoGebra.
Alternate Title: Interpretation of linear transformations in the plane using GeoGebra.
Authors: Gallo, Humberto G.1 hgg252002@yahoo.com.ar, Verón, Claudio A.1 claudioveron@gmail.com, Herrera, Carlos G. R.1 cgherrera@tenco.unca.edu.ar
Source: TE & ET: Revista Iberoamericana de Tecnología en Educación y Educación en Tecnología. dec2019, Issue 24, p33-37. 6p.
Abstract (English): In the study of Linear Algebra concepts, some of the cognitive difficulties observed in students, are derived from the lack of articulation of different representations of a mathematical object, especially between the symbolic register and its corresponding geometric correlation specially in vector spaces (R2.+.R,*) or (R3.+.R.*), wining, consequently, algoritmic procedures through conceptual ones. Based on the theory of Mathematics Visualization, use of Geogebra software is proposed as educational tool for the learning process of linear Algebra contents, specifically for linear transformations. The dynamic characteristic of this application allows the geometric interpretation of this transformation, and of related concepts like its nucleus and image, from its corresponding asociated matrix. Besides its pretended that students discover the relations between the singularity of the matrix and the dimensions of the nucleus and image of a linear transformation. [ABSTRACT FROM AUTHOR]
Abstract (Spanish): En el estudio de conceptos de Algebra Lineal, algunas de las dificultades cognitivas que se observan en los alumnos son derivadas de la falta de articulación de diferentes representaciones de un objeto matemático, especialmente entre el registro simbólico y su correspondiente correlación geométrica en los espacios vectoriales (R2.+.R,*) o (R3.+.R.*), prevaleciendo, en consecuencia, procedimientos de carácter algorítmicos en desmedro de lo conceptual. Fundados en la teoría de la Visualización Matemática, se propone a tales efectos el uso de software GeoGebra como herramienta didáctica en el proceso de aprendizaje de contenidos de algebra Lineal, en caso particular de transformaciones lineales. El carácter dinámico de este aplicativo permite la interpretación geométrica de la transformación, y de conceptos asociados como su núcleo e imagen, a partir de su respectiva matriz asociada, se pretende además que descubran las relaciones entre la singularidad de la matriz, con las dimensiones del núcleo e imagen de la transformación lineal. [ABSTRACT FROM AUTHOR]
Copyright of TE & ET: Revista Iberoamericana de Tecnología en Educación y Educación en Tecnología is the property of School of Computer Science, La Pata University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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  Data: Interpretación de transformaciones lineales en el plano utilizando GeoGebra.
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  Data: Interpretation of linear transformations in the plane using GeoGebra.
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  Data: <searchLink fieldCode="AR" term="%22Gallo%2C+Humberto+G%2E%22">Gallo, Humberto G.</searchLink><relatesTo>1</relatesTo><i> hgg252002@yahoo.com.ar</i><br /><searchLink fieldCode="AR" term="%22Verón%2C+Claudio+A%2E%22">Verón, Claudio A.</searchLink><relatesTo>1</relatesTo><i> claudioveron@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Herrera%2C+Carlos+G%2E+R%2E%22">Herrera, Carlos G. R.</searchLink><relatesTo>1</relatesTo><i> cgherrera@tenco.unca.edu.ar</i>
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– Name: Abstract
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  Data: In the study of Linear Algebra concepts, some of the cognitive difficulties observed in students, are derived from the lack of articulation of different representations of a mathematical object, especially between the symbolic register and its corresponding geometric correlation specially in vector spaces (R2.+.R,*) or (R3.+.R.*), wining, consequently, algoritmic procedures through conceptual ones. Based on the theory of Mathematics Visualization, use of Geogebra software is proposed as educational tool for the learning process of linear Algebra contents, specifically for linear transformations. The dynamic characteristic of this application allows the geometric interpretation of this transformation, and of related concepts like its nucleus and image, from its corresponding asociated matrix. Besides its pretended that students discover the relations between the singularity of the matrix and the dimensions of the nucleus and image of a linear transformation. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (Spanish)
  Group: Ab
  Data: En el estudio de conceptos de Algebra Lineal, algunas de las dificultades cognitivas que se observan en los alumnos son derivadas de la falta de articulación de diferentes representaciones de un objeto matemático, especialmente entre el registro simbólico y su correspondiente correlación geométrica en los espacios vectoriales (R2.+.R,*) o (R3.+.R.*), prevaleciendo, en consecuencia, procedimientos de carácter algorítmicos en desmedro de lo conceptual. Fundados en la teoría de la Visualización Matemática, se propone a tales efectos el uso de software GeoGebra como herramienta didáctica en el proceso de aprendizaje de contenidos de algebra Lineal, en caso particular de transformaciones lineales. El carácter dinámico de este aplicativo permite la interpretación geométrica de la transformación, y de conceptos asociados como su núcleo e imagen, a partir de su respectiva matriz asociada, se pretende además que descubran las relaciones entre la singularidad de la matriz, con las dimensiones del núcleo e imagen de la transformación lineal. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of TE & ET: Revista Iberoamericana de Tecnología en Educación y Educación en Tecnología is the property of School of Computer Science, La Pata University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.24215/18509959.24.e04
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        Text: Spanish
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            NameFull: Herrera, Carlos G. R.
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              M: 12
              Text: dec2019
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              Y: 2019
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