Le calcul mental au-delà des nombres : conceptualisations et illustrations avec la résolution d’équations algébriques

In this paper, I offer an illustration of what doing mental calculations (or mental mathematics) with objects other than numbers can look like. Through examples about algebraic equation solving, I illustrate how this activity made emerge numerous strategies, which can differ from paper-and-pencil wo...

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Detalles Bibliográficos
Publicado en:URI:https://journals.openedition.org/adsc,
Autor principal: Proulx, Jérôme
Formato: Article ou chapitre numérique
Lenguaje:Français
Publicado: Annales de Didactique et de Sciences Cognitives 2024
Materias:
Acceso en línea:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Descripción
Sumario:In this paper, I offer an illustration of what doing mental calculations (or mental mathematics) with objects other than numbers can look like. Through examples about algebraic equation solving, I illustrate how this activity made emerge numerous strategies, which can differ from paper-and-pencil work and open up a variety of understandings about what solving an algebraic equation means. The data analyses also offer ways to a better understanding of the nature of the mathematical activity in which solvers engage in this mental mathematics environment, by pointing out the importance of the “entry” into the problem and less on the search for an answer. These considerations put forth the significance of continuing to investigate mental mathematics activities with objects other than numbers for its potential for developing mathematical understandings and strategies, as well as a better understanding of the nature of the mathematical activity that the mental mathematics environment can make emerge.