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Peer reviewedKingston, J. Maurice – Two-Year College Mathematics Journal, 1974
Descriptors: Algorithms, College Mathematics, Mathematical Applications, Mathematics Education
Peer reviewedLee, John W. – Mathematics Teacher, 1972
Descriptors: Addition, Algorithms, Instruction, Mathematics
Peer reviewedErcolano, Joseph – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Peer reviewedCleminson, Robert A. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Girling, Michael – Mathematics Teaching, 1977
The author redefines basic numeracy as the ability to use a four-function calculator sensibly. He then defines "sensibly" and considers the place of algorithms in the scheme of mathematical calculations. (MN)
Descriptors: Algorithms, Basic Skills, Calculators, Computation
Peer reviewedQuast, W. G. – Arithmetic Teacher, 1972
A distinction is made between an algorithm and the justification for the algorithm. Examples of both are given for the operations with whole numbers. (DT)
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Peer reviewedBezuszka, Stanley J. – Mathematics Teacher, 1981
A history of perfect numbers is presented, which briefly covers the 27 values known at this time. (MP)
Descriptors: Algorithms, Mathematical Enrichment, Mathematics Education, Mathematics History
Peer reviewedHolmes, P. – Mathematics in School, 1974
The major portion of the article establishes the basis for the stated rule - to divide by a fraction, turn it upside down and multiply. With this background, three justifications for the rule are given. Several possible errors in students' use of the rule are noted. (LS)
Descriptors: Algorithms, Computation, Division, Elementary School Mathematics
Peer reviewedTucker, Benny F. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Decimal Fractions, Division, Elementary School Mathematics
Peer reviewedReardin, 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
Peer reviewedSmith, 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
Peer reviewedJohnston, J. H. – Mathematics in School, 1972
After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…
Descriptors: Algorithms, Arithmetic, Mathematical Concepts, Mathematics
Peer reviewedBoykin, 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
Peer reviewedDemana, Franklin; Osborne, Alan – Arithmetic Teacher, 1988
Argues that the type of calculator that is used in mathematics instruction is very important. Suggests that four-function calculators fail to give correct values of mathematical expressions far more often than do scientific calculators. (PK)
Descriptors: Algorithms, Calculators, Computation, Educational Technology
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


