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