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...

全面介紹

書目詳細資料
主要作者:	Suárez-Aguilar, Zagalo Enrique
格式:	Online
語言:	spa
出版:	Universidad Pedagógica y Tecnológica de Colombia 2015
主題:	understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE.
在線閱讀:	https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259

實物特徵
總結:	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.