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Morley, Arthur – Mathematics Teaching, 1978
Described are two methods of calculating developed by the Dutch WISKOBAS Project: addition and subtraction with a loop abacus and multiplication using a grid model. (MP)
Descriptors: Addition, Algorithms, Cognitive Development, Computation
Ellerbruch, Lawrence W.; Payne, Joseph N. – NCTM Yearbook, 1978
A teaching sequence provides a guide to instruction on initial concepts of fractions, equivalent fractions, and addition with fractions. (MN)
Descriptors: Addition, Algorithms, Cognitive Development, Computation

MacDonald, T. H. – International Journal of Mathematical Education in Science and Technology, 1977
The author develops a four-stage model for concept-internalization. The stages are: (1) concrete structure; (2) linguistic structure; (3) algorithm; and (4) mastery. The model is related to teaching methods and the teaching of long division is examined in detail. (SD)
Descriptors: Algorithms, Cognitive Development, Division, Elementary School Mathematics