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Ford, Kevin – Australian Mathematics Teacher, 1978
Early calculating methods and devices are discussed. These include finger products, the abacus, ancient multiplication algorithms, Napier's bones, and monograms. (MP)
Descriptors: Algorithms, Computation, Instruction, Mathematics Education

Lee, John W. – Mathematics Teacher, 1972
Descriptors: Addition, Algorithms, Instruction, Mathematics

Pinchback, C. L.; Tomer, Damber S. – Mathematics Teacher, 2002
Discusses an algorithm from Vedic mathematics that has similarities to FOIL and the standard algorithm for multiplication. (Author/NB)
Descriptors: Algorithms, Computation, Mathematical Applications, Mathematics Education
Brown, Stephen I. – Mathematics Teaching, 1974
The author advocates the classroom consideration of new algorithms as a means of leading students to make original hypotheses. He discusses a multiplication algorithm based on the differences between squares. (SD)
Descriptors: Algorithms, Curriculum, Elementary Education, Elementary School Mathematics

Ercolano, Joseph – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education

Walbesser, Henry H. – Mathematics Teacher, 1976
Computational algorithms appearing in early American arithmetic text are discussed. (SD)
Descriptors: Addition, Algorithms, Division, Mathematical Applications

Reardin, C. Richard, Jr. – Arithmetic Teacher, 1973
A rationale is given for the Russian-peasant algorithm for multiplication indicating why it works as well as how it works. (DT)
Descriptors: Algorithms, Elementary School Mathematics, Mathematical Enrichment, Mathematics

Smith, Cedric A. B. – Mathematics in School, 1972
In this first of two articles, computational algorithms for multiplication and division which encourage use of one operation at a time are proposed. (DT)
Descriptors: Algorithms, Computation, Division, Elementary School Mathematics

Boykin, Wilfred E. – Arithmetic Teacher, 1973
The Russian-peasant algorithm for multiplication is described and then extended to developing an algorithm for renaming base ten numbers in other number bases. (DT)
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematical Enrichment
Barnett, Bruce – Creative Computing, 1979
A computer program in BASIC is presented, with the underlying algorithm explained, for multiplying any two multi-digit numbers and obtaining an exact answer. (MP)
Descriptors: Algorithms, Computer Programs, Computers, Instruction

Sherzer, Laurence – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Induction, Instruction

Zweng, Marilyn J. – Arithmetic Teacher, 1972
The role of division of whole numbers in problem solving and the implications for teaching division computation are examined. Deleting the teaching of division facts, and obtaining solutions by using multiplication facts, is advocated. (DT)
Descriptors: Algorithms, Division, Elementary School Mathematics, Instruction

Clason, Robert G. – Mathematics Teacher, 1973
Descriptors: Algorithms, History, Mathematics, Mathematics Education

Olson, Alton T. – Mathematics Teacher, 1974
Descriptors: Algebra, Algorithms, Generalization, Induction

Ter Heege, Hans – Educational Studies in Mathematics, 1978
The focus is upon the introduction of multiplication within the framework of an algorithm program. Analysis of some observations of student solutions to multiplication problems is included. (MN)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Grade 3
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