Examines 109 children from grades 3 through 6 for computational facility and the relationship between automaticity, or efficient processing of addition facts, and success in more complex tasks. Indicates that most errors on the multidigit sums were due to fact inaccuracy, not algorithmic errors. Discusses instructional implications for students…

Assesses the competence of children (N=215) between the ages of 5 and 9 at addition by asking them to estimate the answers to addition sums. Reports that children at higher levels tend to produce more reasonable estimates than children at lower levels. Discusses the existence and nature of a zone of partial knowledge and understanding. Contains 31…