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CGI Levels of Development Counting. USD 457 Please view the CGI Levels of Development Power Point Module before beginning this Module. Once you complete this training, the next module would be CGI – Levels of Development – Derived Facts, Advanced. Multi-digit Number Concepts.
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CGI Levels of Development Counting USD 457 Please view the CGI Levels of Development Power Point Module before beginning this Module. Once you complete this training, the next module would be CGI – Levels of Development – Derived Facts, Advanced.
Multi-digit Number Concepts • In order to understand and work with multi-digit numbers, children must learn that collections of tens (or hundreds or thousands) can be counted and talked about just like individual units. • Learning about groups of ten can be done in the context of multiplication and measurement division problems and by working directly with objects grouped by tens. • Children invent algorithms for solving multidigit number problems after they have had many experiences solving problems with single and multidigit numbers and working with groups of ten.
Multi-digit Number Concepts • Children should have many experiences solving problems that involve multidigit numbers even if their understanding of working with groups of ten is limited. • Teachers can facilitate children’s invention of multi-digit algorithms by providing many experiences with grouping by ten, by asking children to solve many problems that involve groups of ten, and by helping children recognize the ease of using tens in solving problems. • Solution strategies constructed by children to solve multidigit number problems have direct parallels with and are natural extensions of the strategies they construct for single-digit numbers.
Multi-digit Number Concepts • Children can and should solve problems with large numbers even if their understanding of base-ten is limited. • Students can practice counting as they solve the problems. • Children need not and should not be deprived of problem-solving experiences just because their counting skills are not yet well developed.
Finding a Problem for a Strategy • For each strategy, please define the child’s Level of Development and identify the problem type.
Watch CGI In Action • CGI DVD II • Start at 21:19 (Adam, boy with white sweatshirt with design on front). • Stop after Joel (boy with blue sweatshirt) at 24:32. • The following explains the strategies used, in order of the videos you’ll watch. • Adam, Ndidi use the counting strategy. • Ashley and Evelyn are direct modelers. • Joel uses the counting strategy.