Functional modelling with study and research paths: a theoretical proposal
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Functional modelling with study and research paths : a theoretical proposal. / Cabero, Ismael; Winsløw, Carl.
In: International Journal of Mathematical Education in Science and Technology, 2023.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Functional modelling with study and research paths
T2 - a theoretical proposal
AU - Cabero, Ismael
AU - Winsløw, Carl
N1 - Publisher Copyright: © 2023 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2023
Y1 - 2023
N2 - The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal–exemplified by a concrete problem–to go beyond the usual one-variable teaching of functions, based on the idea of ‘study and research paths’ from the anthropological theory of the didactic. In particular, we illustrate the relevance and didactical feasibility of reparametrisation of functions and real work on the fluctuation of variables and parameters in specific intervals.
AB - The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal–exemplified by a concrete problem–to go beyond the usual one-variable teaching of functions, based on the idea of ‘study and research paths’ from the anthropological theory of the didactic. In particular, we illustrate the relevance and didactical feasibility of reparametrisation of functions and real work on the fluctuation of variables and parameters in specific intervals.
KW - algebra
KW - ATD
KW - exponential function
KW - functional modelling
KW - intervals
KW - Newton's law of cooling
KW - parameters
KW - SRP
KW - variables
U2 - 10.1080/0020739X.2023.2246976
DO - 10.1080/0020739X.2023.2246976
M3 - Journal article
AN - SCOPUS:85169782871
JO - International Journal of Mathematical Education in Science and Technology
JF - International Journal of Mathematical Education in Science and Technology
SN - 0020-739X
ER -
ID: 369130458