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Tests for Divisibility by 7
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Eperson, D. B. – Mathematics in School, 1973
Descriptors: Algorithms, Mathematics, Number Concepts, Secondary School Mathematics
Rules of Thumb
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Holmes, P. – Mathematics in School, 1973
Four algorithms for subtraction are described: borrow and pay back,'' equal additiions, shopkeepers' subtraction,'' and decomposition. (DT)
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Summing It All Up: Pre-1900 Algorithms.
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Pearson, Eleanor S. – Arithmetic Teacher, 1986
Computational algorithms from American textbooks copyrighted prior to 1900 are presented--some that convey the concept, some just for special cases, and some just for fun. Algorithms for each operation with whole numbers are presented and analyzed. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
Developing the Subtraction Algorithm
Peer reviewed Peer reviewed
Cleminson, Robert A. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Calculating Square Roots of Perfect Square Numbers by Inspection
Peer reviewed Peer reviewed
Mehta, P. N. – Mathematical Spectrum, 1972
Descriptors: Algorithms, Computation, Inequalities, Mathematical Concepts
Alternative Algorithms: Increasing Options, Reducing Errors.
Peer reviewed Peer reviewed
Randolph, Tamela D.; Sherman, Helene J. – Teaching Children Mathematics, 2001
Presents several alternatives to customary algorithms for whole number arithmetic. Includes a brief history of each algorithm and discusses why each might be useful for particular kinds of children. (KHR)
Descriptors: Algorithms, Arithmetic, Elementary Education, Learning Strategies
Addition through Palindromes.
Peer reviewed Peer reviewed
Nichol, Margaret – Arithmetic Teacher, 1978
Reviewing addition through the use of palindromes is discussed. A rule for converting any number into a palindrome is presented. (MP)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics
Method or Justification?
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Quast, 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
Low-Stress Subtraction
Peer reviewed Peer reviewed
Hutchings, Barton – Arithmetic Teacher, 1975
A new subtraction algorithm is described and illustrated. Research by the author has shown the method to be easier for low achievers, as well as useful as enrichment for average students. (SD)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Enrichment
Some Computational Strategies of Seventh Grade Pupils. Final Report.
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Lankford, Francis G., Jr. – 1972
One hundred seventy-six seventh grade students underwent a recorded interview where each was given a set of computational exercises and asked to say aloud his thinking as he worked them. The most frequently used strategies in computations with whole numbers and fractions are described in detail, an analysis of the nature of wrong answers is…
Descriptors: Algorithms, Computation, Fractions, Grade 7
A Seven-Year-Old's Subtraction Technique.
Davies, H. B. – Mathematics Teaching, 1978
Described is a case in which a young student stumbles upon the "integer" technique for subtraction which differs from the techniques of decomposition and equal addition. (MN)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Instruction
The Division Algorithm
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Tucker, Benny F. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Decimal Fractions, Division, Elementary School Mathematics
Understanding the Russian Peasant
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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
Programming the Human Computer
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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
The Russian-Peasant Algorithm: Rediscovery and Extension
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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
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