June 19, 2013

Student-Created Math Questions

Student assessment can take many forms. One thing I like to do is ask the students to create their own questions, answer them themselves, and share the questions with others.

The raw material I gave the students is from the well-known "Eric the Sheep" problem (Here's another blog about it).

Eric the sheep is lining up to be shorn. He is last in the line. Each time the shearer takes one sheep from the front of the line, Eric sneaks past two sheep to get closer to the front. There are 50 sheep in front of Eric to start with. It takes the shearer ten minutes to take a sheep from the line and shear it. The shearer never takes a break! Each sheep produces 5 kg of wool.

Use the information in the story of Eric the sheep to make up an interesting story problem that you can answer. You don't need to use all of the information.
And here are my students' questions with the their ages (I teach a multi-age class). I had to help a few students polish their questions to get rid of excessive wordiness or vagueness.

1. How many times does Eric pass two sheep? (10 year-old)

2. How many minutes does it take to pass 24 sheep? (10 year-old)

3. After 60 minutes, what place was Eric in? (10 year-old)

4. How many kilograms of wool did all of the sheep provide? (8 year-old)

5. What number is Eric to be sheared? (11 year-old)

6. How many grams of wool were sheared altogether? (11 year-old)

7. How much wool is sheared before Eric is sheared? (12 year-old)

8. How many sheep did Eric pass? (12 year-old)

9. How long does the shearer shear before shearing Eric? (12 year-old)

10. If Shawn, who started at number 34, skips one sheep every time the shearer takes a sheep, who arrives to the front of the line first, Shawn or Eric? (12 year-old)

11. One-third of the sheep are pink, two-sixths of the sheep are vomit green, and the rest are purple. (a) How many purple sheep are there, and (b) how many kilograms of purple wool were there? (13 year-old)

These questions cover all the types of questions I would have asked and then some (number 10!). Some of the students missed their own questions on the first try, but were very motivated to find the correct answer.

This kind of activity is excellent assessment for learning. We can see what the students are and aren't comfortable with, and we can be sure that if their answer is incorrect, it certainly can't be because they misunderstood the question. After all, they wrote it!

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