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 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.

• 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.
• License: Derechos de autor 2015 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN