Cognitively Guided Instruction, Lesson B: Problem Type Difficulties Practice Problems

Decide for each statement whether it is true or false.

1. Problems where there is a change over time (that would need to be represented by a movie) are harder for young children to solve than problems where you could just draw one picture to show everything (no change over time).

2. The phrases "in all" and "all together" are ones that some 5-6 year old children don't understand.

3. JRU problems are easier for children to understand and solve than PPW-WU problems.

4. The first step in modeling both SRU and JRU problems is to count out the starting amount of counters.

5. Some Join and Separate problems have an amount that changes over time, but some don't.

6. JRU problems are easier for children to direct model than SRU problems.

7. The difficulty for children in solving JCU and SCU problems is about equal.

8. You should avoid teaching compare problems to children until upper elementary because they are so hard to understand.

9. Childrens difficulty with solving SCU problems through direct modeling is mostly because they find the problems hard to understand.

10. Childrens difficulty with solving CDU problems through direct modeling is mostly because they find the problems hard to understand.

11. Part-Part-Whole problems can all be solved using the same direct modeling strategy as Join (result unknown) problems.

12. Children figure out how to solve Part-Part-Whole problems later than Join and Sparate (result unknown) problems, because there isn't an action taking place in the problem to guide them on how to act out the problem.

13. Some kindergarten aged children don't understand part-part-whole problems, and what the problem is asking for.

Answer these short-answer questions

14. What makes CQU problems so much easier than CRU problems?

15. Is it a good idea to tell children to add when they see the word "more" and subtract when they see the word "fewer" or "less"? Why or why not?