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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Автор:	Suárez-Aguilar, Zagalo Enrique
Формат:	Online
Мова:	spa
Опубліковано:	Universidad Pedagógica y Tecnológica de Colombia 2015
Предмети:	understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE.
Онлайн доступ:	https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259

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Резюме:	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.