Abstract

Many teachers do an effective job of using concrete manipulative materials to help children with initial stages of the formation of arithmetic concepts. All too frequently, however, the teachers shift so rapidly from these concrete, visual experiences to abstract verbal symbols that children are unable to breach the gap. Children need intermediary helps paced to their emerging insights. Charts are one type of visual aid which can be developed to help children along the road from need for concrete materials to ability to operate with abstractions.

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