CGI Chapters 1-3

--> Chapter 1: Children's Mathematical Thinking

Children many times see mathematical problems in different ways than adults do. Children see math differently, but that does not mean they see it incorrectly. There are different types of addition and subtraction problems. Adults may see all of these problems the same, but children see them differently based on their structure. There are multiple strategies children use to solve these problems. With encouragement and engagement these different strategies come naturally to children.

--> Chapter 2: Addition & Subtraction Problem Types

Addition and subtraction problem types show/describe how children solve the problems. The different types are categorized based on the types of actions or relationships. Different structures present different levels of difficulty. The four types of addition and subtraction problems are join, separate, part-part-whole, and compare. There are also subcategories. These have different unknowns.

--> Chapter 3: Addition & Subtraction: Children's Solution Strategies

Children use strategies to solve mathematical problems. The strategies children use evolve as they learn. There are two main types of strategies: direct modeling and counting. Direct modeling strategies use physical objects to represent numbers/amounts. Examples of these strategies are joining all, joining to, matching, and separating from. Counting strategies are more abstract and efficient. Examples of counting strategies are counting on from first, counting on from larger, and counting down.

References

Carpenter, T.P., Fennema, E., Franke, M.L., Levi, L., Empson, S.B. (2015). Children’s mathematics: Cognitively guided instruction. [Booklet & Online Video] Porstmouth, NH: Heinemann.

Comments

  1. Dr. NugentSeptember 24, 2019 at 8:04 AM

    Thanks, Darby! How do you see CGI being used in your future classroom?

    ReplyDelete

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