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Peer reviewedBrown, Stephen I. – Arithmetic Teacher, 1975
A multiplication algorithm based on a perfect square is described. (SD)
Descriptors: Algorithms, Basic Skills, Curriculum, Discovery Learning
Peer reviewedWheatley, 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
Peer reviewedPagni, David L. – Mathematics Teacher, 1979
The concept of prime factorization is discussed and two rules are developed: one for finding the number of divisors of a number and the other for finding the sum of the divisors. (MP)
Descriptors: Algorithms, Computation, Instruction, Mathematical Formulas
Peer reviewedJohnson, R. W.; Waterman, M. S. – International Journal of Mathematical Education in Science and Technology, 1976
In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)
Descriptors: Algorithms, College Mathematics, Computers, Doctoral Dissertations
Peer reviewedSherzer, Laurence – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Induction, Instruction
Peer reviewedMaier, Bruce – School Science and Mathematics, 1972
Descriptors: Algorithms, Computer Oriented Programs, Computer Programs, Geometric Concepts
Peer reviewedClason, Robert G. – Mathematics Teacher, 1973
Descriptors: Algorithms, History, Mathematics, Mathematics Education
Peer reviewedKessler, Bernard M. – Arithmetic Teacher, 1971
Descriptors: Algorithms, Discovery Learning, Induction, Learning
Peer reviewedHamilton, E. W. – Arithmetic Teacher, 1971
Descriptors: Algorithms, Arithmetic, Elementary School Mathematics, Instruction
Peer reviewedCook, Lyle; McWilliam, James – Two-Year College Mathematics Journal, 1983
The problem of finding cube roots when limited to a calculator with only square root capability is discussed. An algorithm is demonstrated and explained which should always produce a good approximation within a few iterations. (MP)
Descriptors: Algorithms, Calculators, College Mathematics, Higher Education
Peer reviewedKolb, John R. – Mathematics Teacher, 1982
Several subtraction algorithms are analyzed to see if they involve borrowing. The main focus is on an analysis of a procedure called the residue method. The operational arithmetic which underlies the symbolic manipulations is examined and conditions where the method does and does not use borrowing are highlighted. (MP)
Descriptors: Algorithms, Arithmetic, Computation, Elementary Education
Peer reviewedLeutzinger, 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
Peer reviewedPeterson, Gregory K. – Mathematics Teacher, 1979
A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)
Descriptors: Algorithms, Calculators, Calculus, Computation
Peer reviewedDietz, Charles – Perspectives in Education and Deafness, 1993
Strategies for rapid mental computation are explained, including multiplying by 11 (or 21, 31, etc.); adding columns of numbers; and multiplying 2-digit numbers. Rapid mental computation is suggested as a motivator for investigating the underlying mathematical principles. (DB)
Descriptors: Algorithms, Computation, Elementary Secondary Education, Learning Strategies
Peer reviewedSmith, C. Winston, Jr. – Arithmetic Teacher, 1974
To introduce a third-grade class to division, a teacher prepared cards showing rectangular arrays from which some dots were missing; students used the remaining information to remake the cards. Related cards were used later in other activities to develop the repeated subtraction algorithm for division. (SD)
Descriptors: Algorithms, Diagrams, Division, Elementary School Mathematics
