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Exploring a property of mixed product in the middle school inspired by Bézout's use of units

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  • معلومة اضافية
    • Contributors:
      Université Paris Cité (UPCité); CY Cergy Paris Université (CY); Laboratoire de Didactique André Revuz (LDAR (URP_4434)); Université de Rouen Normandie (UNIROUEN); Normandie Université (NU)-Normandie Université (NU)-Université de Lille-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Université Paris Cité (UPCité)-CY Cergy Paris Université (CY)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2022
    • Collection:
      Université Paris Seine: ComUE (HAL)
    • الموضوع:
    • نبذة مختصرة :
      International audience ; In his arithmetic treatise, Bézout teaches arithmetic as grounded on quantities and units. It is from this perspective that we consider a property of a "mixed product", involving a multiplication on sets of quantities. In this note, we present the main lines of some didactical research on the use of this property with students of years 7 and 8 (12-14 years old). We focus mainly on the conception of units and related notions, as the multiplicative relation between units of the same kind.
    • Relation:
      hal-03754206; https://hal.science/hal-03754206; https://hal.science/hal-03754206/document; https://hal.science/hal-03754206/file/TWG12_10_Surroca.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.14C69C0C