TY - JOUR
T1 - Development of a reference epistemological model around the functional modelling
AU - Bon, Cecilio Fonseca
AU - Pérez, Josep Gascón
AU - Lucas, Catarina Oliveira
PY - 2014/1/1
Y1 - 2014/1/1
N2 - © 2014 Comite Latinoamericano de Matematica Educativa. All rights reserved. This paper presents the mathematical design of a small part of a reference epistemological model which, once concluded, should support the educational organization of a study process comprising: the development of the functional modelling with parameters, elementary differential calculus raison d’être in high school, and the first developments of calculus in several variables at university. Hereto we focus in the moment in which we already hold the derivative as a work tool to show the progressive development, and the relative completion of mathematical praxeologies that are built as progress gains ground in the different levels of functional modelling. This proposal is submitted from an Anthropological Theory of the Didactic scope and represents a small contribution to the didactic purpose of placing the mathematical modelling as an instrument that allows to articulate and give meaning to school mathematics.
AB - © 2014 Comite Latinoamericano de Matematica Educativa. All rights reserved. This paper presents the mathematical design of a small part of a reference epistemological model which, once concluded, should support the educational organization of a study process comprising: the development of the functional modelling with parameters, elementary differential calculus raison d’être in high school, and the first developments of calculus in several variables at university. Hereto we focus in the moment in which we already hold the derivative as a work tool to show the progressive development, and the relative completion of mathematical praxeologies that are built as progress gains ground in the different levels of functional modelling. This proposal is submitted from an Anthropological Theory of the Didactic scope and represents a small contribution to the didactic purpose of placing the mathematical modelling as an instrument that allows to articulate and give meaning to school mathematics.
KW - -Three levels of functional
KW - Reference epistemological
KW - Model (REM)
KW - Anthropological Theory of the Didactic (ATD)
KW - Modeling
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=5014715
U2 - 10.12802/relime.13.1732
DO - 10.12802/relime.13.1732
M3 - Article
SN - 1665-2436
VL - 17
SP - 289
EP - 318
JO - Revista Latinoamericana de Investigacion en Matematica Educativa
JF - Revista Latinoamericana de Investigacion en Matematica Educativa
IS - 3
ER -