Functional modelling with study and research paths: a theoretical proposal

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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.

Original languageEnglish
JournalInternational Journal of Mathematical Education in Science and Technology
Publication statusE-pub ahead of print - 2024

Bibliographical note

Publisher Copyright:
© 2023 Informa UK Limited, trading as Taylor & Francis Group.

    Research areas

  • algebra, ATD, exponential function, functional modelling, intervals, Newton's law of cooling, parameters, SRP, variables

ID: 369130458