CGI Chapters 4-6
--> Chapter 4: Multiplication and Division Problem Types and Children's Solution Strategies
Multiplication and division problems are grouping and partioning problems. The unknown can be the amount of groups, the amount in each group, or the total. In multiplication problems, the total in unknown. In partitive division problems, the amount per group in unknown. In measurement division problems, the number of groups is unknown. Strategies for solving these problems include direct modeling, counting and adding strategies, and number fact. Number fact strategies involve numbers with common relationships.
--> Chapter 5: Beginning to Use Cognitively Guided Instruction
Cognitively guided instruction involves understanding how students think to solve problems. When using CGI it is important to engage children in the process of problem solving. Students have to be taught how to think as problem solvers. It is also important to consider what problems are being selected and their complexity. Finally, strategies used should be shared. This can help students put their thinking into words.
--> Chapter 6: Base-Ten Number Concepts
Base-ten number concepts are thinking of numbers in terms of 10s, 100s, and 1,000s or in other words collections of 10s, 100s, and 1,000s. Students will move from 10s to 1,000s as they develop understanding of the concept. Base-ten number concepts also involve the concepts of place value.
Multiplication and division problems are grouping and partioning problems. The unknown can be the amount of groups, the amount in each group, or the total. In multiplication problems, the total in unknown. In partitive division problems, the amount per group in unknown. In measurement division problems, the number of groups is unknown. Strategies for solving these problems include direct modeling, counting and adding strategies, and number fact. Number fact strategies involve numbers with common relationships.
--> Chapter 5: Beginning to Use Cognitively Guided Instruction
Cognitively guided instruction involves understanding how students think to solve problems. When using CGI it is important to engage children in the process of problem solving. Students have to be taught how to think as problem solvers. It is also important to consider what problems are being selected and their complexity. Finally, strategies used should be shared. This can help students put their thinking into words.
--> Chapter 6: Base-Ten Number Concepts
Base-ten number concepts are thinking of numbers in terms of 10s, 100s, and 1,000s or in other words collections of 10s, 100s, and 1,000s. Students will move from 10s to 1,000s as they develop understanding of the concept. Base-ten number concepts also involve the concepts of place value.
Thanks, Darby:) Again, I wonder how you think these strategies/materials relate to your future classroom...
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