Preschool children have been proven to possess nonsymbolic approximate arithmetic skills before learning how to manipulate symbolic math and thus before any formal math instruction. It has been assumed that nonsymbolic approximate math tasks necessitate the allocation of Working Memory (WM) resources. WM has been consistently shown to be an important predictor of children's math development and achievement. The aim of our study was to uncover the specific role of WM in nonsymbolic approximate math. For this purpose, we conducted a (...) dual-task study with preschoolers with active phonological, visual, spatial, and central executive interference during the completion of a nonsymbolic approximate addition dot task. With regard to the role of WM, we found a clear performance breakdown in the central executive interference condition. Our findings provide insight into the underlying cognitive processes involved in storing and manipulating nonsymbolic approximate numerosities during early arithmetic. (shrink)

Nous nous intéressons dans cet article à la façon dont Ernst Cassirer renforce et réinvestit la méthode critique de Kant en replaçant l’imagination productrice non seulement au cœur de la théorie de la connaissance – désormais étendue au cosmos de la culture –, mais aussi au cœur d’une métaphysique renouvelée. La valorisation de la spontanéité – inséparable de ses objectivations, les formes symboliques –, traduit et sert les enjeux corrélatifs de l’idéalisme critique de Cassirer : d’une part, son (...) combat mené à travers les déductions transcendantales contre les métaphysiques dogmatiques marchandes d’illusions dualistes au sein du savoir, d’autre part, la recherche d’un sens d’ordre métaphysique-anthropologique inspirant l’alliance de la forme et de la liberté pour la totalité systématique de la culture.In the present article, we contemplated the way Ernst Cassirer reinforces and rethinks the Kant’s critical method by replacing the productive imagination not only in the heart of the epistemology – henceforth extended to culture’s cosmos – but also in the heart of a renewed metaphysics. The highlighting of the spontaneity – inseparable of the symbolic form – rejoins the interrelated issues of the critical idealism of Ernst Cassirer: on the one hand, his opposition against dogmatic metaphysics generating dualism in knowledge, and on the other hand, the study of an anthropological-metaphysical sense inspiring the connection between form and freedom for the culture’s systematic totality. (shrink)