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Gutstein, Eric; Romberg, Thomas A. – Journal of Mathematical Behavior, 1995
Reviews research using diagrams, number sentences, and algorithms to help students learn to add and subtract; poses questions on the relationship of instruction to children's knowledge construction; and proposes a research agenda in this area. (86 references) (MKR)
Descriptors: Addition, Algorithms, Arithmetic, Cognitive Processes

Schliemann, Analucia Dias; And Others – Journal of Mathematical Behavior, 1993
A 14-year-old Brazilian boy in the fourth grade was given 170 problems orally, each asking for the sum of 2 2-digit numbers. Responses indicated he had invented his own algorithm for addition, similar to the school one, based largely on his experiences with money. (Contains 13 references.) (JAF)
Descriptors: Addition, Algorithms, Case Studies, Computation