1. NC NAEP Project Module 2 - Activity 2 Whose Problem Structure is It? Examining Problems from the Perspective of the Expert and of the Student Elementary Module 2, Activity 2

2. Goals Based on videotaped examples, develop understanding of common student approaches to single-step and multi-step problems. Become aware of a variety of instructional approaches for teaching these topics that are research-based. Practice predicting student thinking on a particular task or item. Elementary Module 2, Activity 2

3. Solve These Problems: Connor has 10 cars. He gives 3 cars to Tristan. How many cars does Connor have left? Connor has 3 cars. How many more cars does he need to have 10 cars? Connor has 3 cars. Tristan has 10 cars. How many more cars does Tristan have than Connor? Elementary Module 2, Activity 2

4. Discussion How would you solve these problems? How might a first grader solve these problems? What strategies might a first grader use to arrive at the answer ? Elementary Module 2, Activity 2

5. Cognitively Guided Instruction (CGI Join Problems) Join: Result Unknown ◦ Sandra had 8 pennies. George gave her four more. How many pennies does Sandra have altogether? Join: Change Unknown ◦ Sandra had 8 pennies. George gave her some more. Now, Sandra has 12 pennies. How many did George give her? Join: Initial Unknown ◦ Sandra had some pennies. George gave her 4 more. Now Sandra has 12 pennies. How many pennies did Sandra have to begin with? Elementary Module 2, Activity 2

6. Cognitively Guided Instruction (CGI Separate Problems) Separate: Result Unknown ◦ Sandra had 12 pennies. She gave 4 pennies to George. How many pennies does Sandra have now? Separate: Change Unknown ◦ Sandra had 12 pennies. She gave some to George. Now she has 8 pennies. How many did she give George? Separate: Initial Unknown ◦ Sandra had some pennies. She gave 4 to George. Now Sandra has 8 pennies left. How many pennies did Sandra have to begin with? Elementary Module 2, Activity 2

7. Cognitively Guided Instruction (CGI Part-Part Whole Problems) Part-Part-Whole: Whole Unknown ◦ George had 4 pennies and 8 nickels. How many coins does he have? ◦ George has 4 pennies and Sandra has 8 pennies. They put their pennies into a piggy bank. How many pennies did they put into the bank? Elementary Module 2, Activity 2

8. Cognitively Guided Instruction (CGI Part-Part Whole Problems) Part-Part-Whole: Part Unknown ◦ George has 12 coins. Eight of his coins are pennies and the rest are nickels. How many nickels does George have? ◦ George and Sandra put 12 pennies into the piggy bank. George put in 4 pennies. How many pennies did Sandra put in? Elementary Module 2, Activity 2

9. Cognitively Guided Instruction (CGI Compare Problems) Compare: Difference Unknown ◦ George has 12 pennies and Sandra has 8 pennies. How many more pennies does George have than Sandra? ◦ George has 12 pennies. Sandra has 8 pennies. How many fewer pennies does Sandra have than George? Elementary Module 2, Activity 2

10. Cognitively Guided Instruction (CGI Compare Problems) Compare: Larger Unknown ◦ George has 4 more pennies than Sandra. Sandra has 8 pennies. How many pennies does George have? ◦ Sandra has 4 fewer pennies than George. Sandra has 8 pennies. How many pennies does George have? Elementary Module 2, Activity 2

11. Cognitively Guided Instruction (CGI Compare Problems) Compare: Smaller Unknown ◦ George has 4 more pennies than Sandra. George has 12 pennies/ How many pennies does Sandra have? ◦ Sandra has 4 fewer pennies than George. George has 12 pennies. How many pennies does Sandra have? Elementary Module 2, Activity 2

12. Questions Following Gallery Walk 1. Are there any questions? 2. What did you notice? 3. Is there something that you are unsure about? Elementary Module 2, Activity 2