An epistemological reference model for primary-level algebra research

Noemí Ruiz-Munzón; Marianna Bosch Casabò; Josep Gascón

doi:10.7202/1070027ar

An epistemological reference model for primary-level algebra research

Noemí Ruiz-Munzón
, Marianna Bosch Casabò
, Josep Gascón

IQS School of Management

Research output: Indexed journal article › Article

Abstract

The anthropological theory of the didactic sets out the questioning of mathematical knowledge as playing a decisive role, and proposes the development of reference epistemological models (REMs) as an analytical tool. We present a REM of the development of school algebra that fits into a broader model connecting arithmetic, algebra, relative numbers, functional modeling and differential calculus. This model takes “calculation programs” as a starting point, viewing algebra as a structured modeling process in three stages. We illustrate the potential of this model for creating and analyzing didactic sequences in the first stage of the algebrization process.

Translated title of the contribution	Un modèle épistémologique de référence pour la recherche sur l'algèbre élémentaire
Original language	French
Pages (from-to)	123-144
Number of pages	21
Journal	Nouveaux cahiers de la recherche en éducation
Volume	22
Issue number	1
DOIs	https://doi.org/10.7202/1070027ar
Publication status	Published - 8 Jun 2020

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10.7202/1070027ar

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