bi_Géométrie_12e_La démonstration commence par la formulation de conjectures, la recherche de contre-exemples et l’amélioration de la conjecture, et peut se terminer par une preuve écrite.

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Subject
Grade
Big Idea
The proving process begins with conjecturing, looking for counter-examples, and refining the conjecture, and the process may end with a written proof.
Elaboration
  • Sample questions to support inquiry with students:
    • Can we make a conjecture about the diagonals of a polygon? Can we find a counter-example to our conjecture?
    • How can one conjecture about a specific shape lead to making another more general conjecture about a family of shapes?
    • How can we be sure that a proof is complete?
    • Can we find a counter-example to a conjecture?
    • How can different proofs bring out different understandings of a relationship?
keywords
proving process