Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables
This paper presents a model of the epistemology and cognition, a genetic decomposition (DG), of the concept of differential of a function in several variables (DFSV) of the advanced mathematical thinking (AMT), in terms of mental structures of Action, Process, Object and Schema (APOS) and of the mec...
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2015
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| Online Access: | https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259 |
| _version_ | 1801705983572967424 |
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| author | Suárez-Aguilar, Zagalo Enrique |
| author_facet | Suárez-Aguilar, Zagalo Enrique |
| author_sort | Suárez-Aguilar, Zagalo Enrique |
| collection | OJS |
| description | This paper presents a model of the epistemology and cognition, a genetic decomposition (DG), of the concept of differential of a function in several variables (DFSV) of the advanced mathematical thinking (AMT), in terms of mental structures of Action, Process, Object and Schema (APOS) and of the mechanisms for building these structures by reflective abstraction. The DG becomes a reference for the design of teaching strategies and as tool to account for the observable behavior of the subject in understanding the concept. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-3259 |
| institution | Revista de Investigación, Desarrollo e Innovación (RIDI) |
| language | spa |
| publishDate | 2015 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-32592018-07-10T22:01:23Z Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables Construcción de una descomposición genética: análisis teórico del concepto diferencial de una función en varias variables Suárez-Aguilar, Zagalo Enrique understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE. This paper presents a model of the epistemology and cognition, a genetic decomposition (DG), of the concept of differential of a function in several variables (DFSV) of the advanced mathematical thinking (AMT), in terms of mental structures of Action, Process, Object and Schema (APOS) and of the mechanisms for building these structures by reflective abstraction. The DG becomes a reference for the design of teaching strategies and as tool to account for the observable behavior of the subject in understanding the concept. Este artículo presenta un modelo de la cognición y la epistemología, una descomposición genética (DG), del concepto de la diferencial de una función en varias variables (DFVV) del pensamiento matemático avanzado (PMA), en términos de las estructuras mentales de Acción, Proceso, Objeto y Esquema (APOE) y de los mecanismos para la construcción de éstas estructuras por abstracción reflexiva. La DG se constituye en un referente para el diseño de estrategias de enseñanza y como instrumento para dar cuenta del comportamiento observable del sujeto en la comprensión del concepto. Universidad Pedagógica y Tecnológica de Colombia 2015-08-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259 10.19053/20278306.3259 Revista de Investigación, Desarrollo e Innovación; Vol. 6 No. 1 (2015): July-December; 45-60 Revista de Investigación, Desarrollo e Innovación; Vol. 6 Núm. 1 (2015): Julio-Diciembre; 45-60 2389-9417 2027-8306 spa https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259/3486 Derechos de autor 2015 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN |
| spellingShingle | understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE. Suárez-Aguilar, Zagalo Enrique Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables |
| title | Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables |
| title_alt | Construcción de una descomposición genética: análisis teórico del concepto diferencial de una función en varias variables |
| title_full | Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables |
| title_fullStr | Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables |
| title_full_unstemmed | Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables |
| title_short | Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables |
| title_sort | construction of a genetic decomposition theoretical analysis of the concept of differential of a function in several variables |
| topic | understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE. |
| topic_facet | understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE. |
| url | https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259 |
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