Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Average Prime

List all pairs of primes with an average (arithmetic mean) of 20. Disregard order.

How about THREE primes (with repetition allowed)?

Why didn't we say anything about repetition when asking about TWO primes?

What other mathematical aspects of this caught your attention? What do you wonder about the situation?

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Notice, Wonder
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MS Math

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QUICKIE CHALLENGE for Gr5-8
List all pairs of primes with an average (arithm mean) of 20. [Disregard order]
How about THREE primes (with repetition allowed)?@HarMath @johnjoy1966 @iteachmathAll @benjamin_leis #MTBoS #Math #MathStratChat
— David Marain (@dmarain) September 17, 2020

More Information:
Noticing and wondering is a tool to help students:
- Understand the story, the quantities, and the relationships in the problem.
- Understand what the problem is asking and what the answer will look like. Have some ideas to begin to solve the problem.
More Here at NCTM