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What makes a good math problem?

Hello All!

After last week's challenge problem, I thought I might ask the question.  What makes a good math problem?  Is it one that requires a formula to solve?  Is it it direct or open-ended?  Is it one that pulls from prior knowledge?  

What thoughts do you have about what makes a good math problem?

Brooke

Comments

cburkitt's picture
First

It depends on what you want to assess. If you want to assess whether your students can do addition, then a page full of addition problems might be just the thing. If you want to assess the capacity of students to engage in mathematical reasoning, you might construct problems that don't even have any numbers in them. A "good" math problem helps you reach your assessment goal.

randomness