Two experiments with third to sixth grade children were undertaken to test three predictions derived from the assumption that children may fail to solve union problems because addition of classes is not implied when classes to be combined overlap. (SB)

Case studies describe the positive responses of two elementary learning disabled students involved in an experimental number fact program. The program emphasized development of strategies matched to individual learning needs in a nontraditional approach to the organization of addition facts. (Author/CL)

Research and curriculum development projects have investigated ways to make teaching and learning basic facts easier. Reseach results and implications from four major projects are presented. Ten specific guidelines are then given and illustrated by examples from addition. Modifying instructional sequence and matching learning tasks with learning…

First graders at three different schools were individually interviewed to determine their understanding of missing addend problems. Details of the interview are provided. Behaviors separating successful from unsuccessful students, students' number conservation ability, and the abstractness of missing-number problems are discussed. (DT)

The results of a study of third-graders' performance in solving certain open sentences, and implications for teaching open sentences are discussed. (DT)

Eighteen college students solved addition problems using the Hutchings Low Fatigue Addition Algorithm, which requires a written record of running sums, and the standard algorithm, which does not. Students using the Hutchings algorithm had significantly higher reaction times to a tone, indicating that the Hutchings method requires less cognitive…

Very specific suggestions for teaching subtraction facts using addition are given. Several activities are suggested. (MK)

Two mnemonic acronyms can help learning-disabled children remember to complete the necessary steps for regrouping in addition and subtraction. (DB)

Presents materials and methods that have been found to be effective in teaching addition and subtraction in specialized schools for the speech- and hearing-impaired. Concludes that there has been considerable success with students learning necessary mathematical skills by completing activities. Contains 11 references. (ASK)

Explores adult adding techniques and ponders whether they have any relevance to working with primary school children. Suggests ways that can help children develop into effective adders. (ASK)

Addition strategies used by 36 kindergarten children were examined. Children were given written stimuli (such as "2+5" and "3+7") during two sessions taking place a week apart. Results indicated that once children came to rely on mental addition strategies, they often quickly invented more economical procedures to compute sums. Also confirmed was…

Three models have been proposed to account for the relationship between the principle of commutativity and the development of more economical addition strategies, which disregard addend order. In the first and second models, it has been proposed that either discovery or assumption of commutativity is a necessary condition for the invention of…