Number system and computation with a duo of artefacts: The pascaline and the e-pascaline
Résumé
We are using a duo of artefacts, constituted by a mechanical arithmetic machine and
its digital counterpart, to enable six-year old French students to learn about numbers.
The experiment shows the separate conceptualisation processes involving numbers as
sign of a quantity and number sequences on one side and recursive addition,
computation and its effect on the decimal code for numbers on the other side. The duo
of artefacts enabled the design of situations that required these processes to be
connected. We observed how students and teachers used the duo and discuss the
results concerning the conceptualisation of number.
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