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Kratzer, Richard O.; Willoughby, Stephen S. – Journal for Research in Mathematics Education, 1973
Twelve fourth-grade classes in two schools were taught division using either the subtractive approach to the Greenwood algorithm or a partitioning approach to the standard algorithm. Analysis of class means on immediate, retention, and delayed retention tests indicated that use of the standard algorithm was more effective. (JP)
Descriptors: Algorithms, Division, Elementary School Mathematics, Instruction

Gaslin, William L. – Journal for Research in Mathematics Education, 1975
Descriptors: Algorithms, Attitudes, Calculators, Fractions

Barszcz, Edward L.; Gentile, J. Ronald – Journal for Research in Mathematics Education, 1976
When two methods of transforming numbers from one base to another were taught sequentially, the first interfered with learning of the second. (SD)
Descriptors: Algorithms, Instruction, Learning, Mathematics Education

Wiles, Clyde A.; And Others – Journal for Research in Mathematics Education, 1973
Second-grade students were randomly assigned to either an instructional unit within which addition and subtraction of two digit numbers were treated as a single integrated process of regrouping or one which developed the addition and subtractive algorithms sequentially. Periodic assessments favored the sequential approach, but differences were not…
Descriptors: Addition, Algorithms, Elementary School Mathematics, Instruction

Wheatley, Grayson H. – Journal for Research in Mathematics Education, 1976
Two methods of adding columns of single digits were compared in terms of the speed and accuracy with which sums are produced. The direct method (successive addition) was found to be better than the method of looking for combinations which sum to ten. (SD)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics

Hostetler, Robert P. – Journal for Research in Mathematics Education, 1973
Descriptors: Algorithms, Curriculum, Elementary School Mathematics, Instruction

Sowder, Larry – Journal for Research in Mathematics Education, 1975
Two studies investigated the effects of verbalization of discovered generalizations on the retention of those principles. (SD)
Descriptors: Algorithms, Discovery Learning, Generalization, Higher Education

Wheatley, Grayson H.; McHugh, Daniel O. – Journal for Research in Mathematics Education, 1977
The authors attempt to determine the effects of the use of direct and "combinations of tens" methods of two column-addition, ability, and grade level as factors in column addition efficiency. (MN)
Descriptors: Addition, Algorithms, Computation, Educational Research