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Hindu-Bobtailed Multiplication: An Efficient Mathematical Algorithm
Peer reviewed Peer reviewed
Ercolano, Joseph – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Consider Your Alternatives.
Peer reviewed Peer reviewed
Spitler, Gail – Arithmetic Teacher, 1979
Allowing students to examine different ways of performing an operation is suggested as a means of increasing their understanding. (MP)
Descriptors: Addition, Algorithms, Computation, Concept Formation
Using a Calculator to Do Arithmetic in Bases Other than Ten.
Peer reviewed Peer reviewed
Schultz, James E. – Arithmetic Teacher, 1978
The method described here converts a given problem in a base other than ten to a related problem in base ten, solves the related problem in base ten, and converts the answer back to the original base. Limitations are discussed. (MP)
Descriptors: Addition, Algorithms, Calculators, Elementary School Mathematics
Understanding the Russian Peasant
Peer reviewed Peer reviewed
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
The Russian-Peasant Algorithm: Rediscovery and Extension
Peer reviewed Peer reviewed
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
Multiplication and Division Algorithms in German Schools.
Peer reviewed Peer reviewed
Kulm, Gerald – Arithmetic Teacher, 1980
The multiplication and division algorithms that are taught in German schools are presented. It is suggested that these algorithms may be better than standard algorithms in terms of development of useful concepts and processes. (MK)
Descriptors: Algorithms, Computation, Division, Elementary Education
A New Multiplication Algorithm: On the Complexity of Simplicity
Peer reviewed Peer reviewed
Brown, Stephen I. – Arithmetic Teacher, 1975
A multiplication algorithm based on a perfect square is described. (SD)
Descriptors: Algorithms, Basic Skills, Curriculum, Discovery Learning
A Simplified Presentation for Finding the LCM and the GCF
Peer reviewed Peer reviewed
Sherzer, Laurence – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Induction, Instruction
The Fourth Operation is not Fundamental
Peer reviewed Peer reviewed
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
Let's Do It: With Powers of Ten.
Peer reviewed Peer reviewed
Leutzinger, Larry P.; Nelson, Glenn – Arithmetic Teacher, 1980
Some techniques for developing the ability to multiply and divide by powers of ten with ease and understanding are presented. (Author/MK)
Descriptors: Activities, Algorithms, Division, Elementary Education
Errors That Are Common in Multiplication.
Peer reviewed Peer reviewed
Kilian, Lawrence; And Others – Arithmetic Teacher, 1980
A study to determine if "random" or "careless" errors in multiplication made by individual students take on discernible patterns is described. Implications for teaching are discussed. (MK)
Descriptors: Algorithms, Educational Research, Elementary Education, Elementary School Mathematics
The Fourth Operation is not Fundamental--Fractional Numbers and Problem Solving
Peer reviewed Peer reviewed
Zweng, Marilyn J. – Arithmetic Teacher, 1975
A case is given against teaching division of fractional numbers. Types of problems usually solved by division are solved by methods involving only multiplication. (JP)
Descriptors: Algorithms, Division, Elementary Education, Elementary School Mathematics
Teacher-Computer Interaction in Teaching a Mathematics Lesson.
Peer reviewed Peer reviewed
Andersen, Lyle E.; And Others – Arithmetic Teacher, 1988
Ways to combine the strengths of teacher and computer are suggested. Multiplication concepts and an algorithm for multiplication are taught in the same lessons. The computer is used as an electronic chalkboard to teach at a semiconcrete level. The computer program is included. (MNS)
Descriptors: Algorithms, Computer Software, Elementary Education, Elementary School Mathematics
Lattice Multiplication and Division.
Peer reviewed Peer reviewed
Broadbent, Frank W. – Arithmetic Teacher, 1987
A modern adaptation of the historic lattice algorithm which can be used for multiplication and division is discussed. How it works is clearly illustrated. (MNS)
Descriptors: Algorithms, Division, Elementary Education, Elementary School Mathematics
The Monsters in Multiplication.
Peer reviewed Peer reviewed
Bolduc, Elroy J., Jr. – Arithmetic Teacher, 1980
A learning pattern designed to help students cut down the amount of memorization needed in learning the basic multiplication facts is suggested and reviewed. (MP)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Learning Activities