Communicating and Reflecting - February 2009, Stage 5

We are used to sharing findings and reflecting on what we've done when we arrive at the solution to a problem, but there is great value in doing this whilst working on problems. Good problem solvers reflect on their progress while they work, asking themselves "Is there a better way to proceed?". When recording their work they communicate their ideas (initially for themselves and then possibly for others); good ideas can come from sharing thoughts and reviewing progress.

Problems

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Direct Logic

Stage: 5 Challenge Level: Challenge Level:1

Can you work through these direct proofs, using our interactive proof sorters?

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Contrary Logic

Stage: 5 Challenge Level: Challenge Level:1

Can you invert the logic to prove these statements?

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Parabella

Stage: 5 Challenge Level: Challenge Level:1

This is a beautiful result involving a parabola and parallels.

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Look Before You Leap

Stage: 5 Challenge Level: Challenge Level:1

Relate these algebraic expressions to geometrical diagrams.

Elsewhere...