Introduction to arithmetical expressions: A semiotic perspective
Résumé
An early introduction to arithmetical expressions is realized in a teaching experiment involving an artefact based on the rectangle model for multiplication. Children elaborate signs, strictly related to the activity with the artefact, which evolve to mathematical ones: the enchaining of different representations in many semiotic systems is described according to Theory of Semiotic Mediation. In particular the teacher role in selecting and elaborating specific personal signs, in order to make them pivot signs, results as crucial. Elaborated tasks reveal to be good triggers for a relational approach to arithmetical expressions.
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