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Cognitively Guided Instruction Book Study

Cognitively Guided Instruction Book Study. October 22, 2010. Outcomes. Participants will… Have a greater understanding of children’s mathematical thinking. Learn how the structure of addition, subtraction, multiplication, and division problems determines the difficulty of the problems.

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Cognitively Guided Instruction Book Study

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  1. Cognitively Guided Instruction Book Study October 22, 2010

  2. Outcomes Participants will… • Have a greater understanding of children’s mathematical thinking. • Learn how the structure of addition, subtraction, multiplication, and division problems determines the difficulty of the problems. • Be introduced to a framework of solution strategies that students use to solve problems. • Have a greater knowledge of children’s understanding of base ten. • Experience and read about children’s invented strategies with muti-digit numbers. • Learn strategies for encouraging students to share their thinking and approaches to solutions.

  3. Candy Bar Problem Ms. Gardner has 6 candy bars. Each candy bar is 23 calories each. How many calories would Ms. Gardner have eaten if she ate all the candy bars?

  4. Levels of Abstraction (Strategies) • Direct Modeling • Counting • Derived Facts

  5. Go-Around One Protocol • Person #1 reports one idea that he/she recorded. • While person #1 reports, other group members listen, but do not question person #1, comment, or give clues. • When person #1 finishes, person #2 reports while the group listens. • Repeat until all group members have reported all of their ideas. • The group discusses ideas that were reported.

  6. Ranking Rachel Problems • Which two problems would be considered the easiest? • Which two problems would be considered the most difficult?

  7. Direct Modeling is…. • Counting out objects-cubes, tiles, ect. • Building and taking apart numbers • Counting on • Drawing pictures • Combining multiple manipulatives-cubes & pictures • 1:1 correspondence • Trial and Error and then Guess and Check • Making sets or groups representations • Acting out the problem

  8. Article – Cognitively Guided Instruction is… • Read “CGI Encourages Ingenuity and Reasoning” article. • In your group, write what CGI is on a sentence strip. You are more than welcome to use more than one.

  9. Homework • Read Chapters 7 and 8 • Add to your definition to what CGI is. • Interview two primary students with Rachel Problems. This student can be a son, daughter, neighborhood child, etc.

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