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...

Mô tả đầy đủ

Chi tiết về thư mục
Tác giả chính:	Suárez-Aguilar, Zagalo Enrique
Định dạng:	Online
Ngôn ngữ:	spa
Được phát hành:	Universidad Pedagógica y Tecnológica de Colombia 2015
Những chủ đề:	understanding differential function in several variables advanced mathematical thinking genetic decomposition APOS. comprensión diferencial función en varias variables pensamiento matemático avanzado descomposición genética APOE.
Truy cập trực tuyến:	https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259

Miêu tả
Tóm tắt:	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.