Construction of a genetic decomposition: theoretical analysis of the concept of differential of a function in several variables

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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Bibliographic Details
Main Author: Suárez-Aguilar, Zagalo Enrique
Format: Online
Language:spa
Published: Universidad Pedagógica y Tecnológica de Colombia 2015
Subjects:
understanding
differential
function in several variables
advanced mathematical thinking
genetic decomposition
APOS.
comprensión
diferencial
función en varias variables
pensamiento matemático avanzado
descomposición genética
APOE.
Online Access:https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/3259
Description
Summary: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.