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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Autores:
Tipo de recurso:
http://purl.org/coar/resource_type/c_6582
Fecha de publicación:
2015
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/10202
Acceso en línea:
https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259
https://repositorio.uptc.edu.co/handle/001/10202
Palabra clave:
understanding
differential
function in several variables
advanced mathematical thinking
genetic decomposition
APOS.
comprensión
diferencial
función en varias variables
pensamiento matemático avanzado
descomposición genética
APOE.
Rights
License
Derechos de autor 2015 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
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spelling 2015-08-152024-07-05T18:03:49Z2024-07-05T18:03:49Zhttps://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/325910.19053/20278306.3259https://repositorio.uptc.edu.co/handle/001/10202This 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.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259/3486Derechos de autor 2015 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓNhttp://purl.org/coar/access_right/c_abf83http://purl.org/coar/access_right/c_abf2Revista de Investigación, Desarrollo e Innovación; Vol. 6 No. 1 (2015): July-December; 45-60Revista de Investigación, Desarrollo e Innovación; Vol. 6 Núm. 1 (2015): Julio-Diciembre; 45-602389-94172027-8306understandingdifferentialfunction in several variablesadvanced mathematical thinkinggenetic decompositionAPOS.comprensióndiferencialfunción en varias variablespensamiento matemático avanzadodescomposición genéticaAPOE.Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variablesConstrucción de una descomposición genética: análisis teórico del concepto diferencial de una función en varias variablesinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6582http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a166http://purl.org/coar/version/c_970fb48d4fbd8a85Suárez-Aguilar, Zagalo Enrique001/10202oai:repositorio.uptc.edu.co:001/102022025-07-18 11:51:10.168metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables
dc.title.es-ES.fl_str_mv Construcción de una descomposición genética: análisis teórico del concepto diferencial de una función en varias variables
title Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables
spellingShingle Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables
understanding
differential
function in several variables
advanced mathematical thinking
genetic decomposition
APOS.
comprensión
diferencial
función en varias variables
pensamiento matemático avanzado
descomposición genética
APOE.
title_short Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several 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_sort Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables
dc.subject.en-US.fl_str_mv understanding
differential
function in several variables
advanced mathematical thinking
genetic decomposition
APOS.
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.
dc.subject.es-ES.fl_str_mv comprensión
diferencial
función en varias variables
pensamiento matemático avanzado
descomposición genética
APOE.
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.
publishDate 2015
dc.date.accessioned.none.fl_str_mv 2024-07-05T18:03:49Z
dc.date.available.none.fl_str_mv 2024-07-05T18:03:49Z
dc.date.none.fl_str_mv 2015-08-15
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6582
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a166
format http://purl.org/coar/resource_type/c_6582
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259
10.19053/20278306.3259
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/10202
url https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259
https://repositorio.uptc.edu.co/handle/001/10202
identifier_str_mv 10.19053/20278306.3259
dc.language.none.fl_str_mv spa
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259/3486
dc.rights.es-ES.fl_str_mv Derechos de autor 2015 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf83
rights_invalid_str_mv Derechos de autor 2015 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
http://purl.org/coar/access_right/c_abf83
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv Revista de Investigación, Desarrollo e Innovación; Vol. 6 No. 1 (2015): July-December; 45-60
dc.source.es-ES.fl_str_mv Revista de Investigación, Desarrollo e Innovación; Vol. 6 Núm. 1 (2015): Julio-Diciembre; 45-60
dc.source.none.fl_str_mv 2389-9417
2027-8306
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
_version_ 1839633807891759104

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