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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
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Cleminson, Robert A. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education
Addition through Palindromes.
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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
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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
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
The Fourth Operation is not Fundamental
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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
Predicting the Tens Digit of the Square of a Number.
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Olson, Melfried; Olson, Judith – School Science and Mathematics, 1988
Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)
Descriptors: Algorithms, Arithmetic, Elementary Education, Elementary School Mathematics
Analysis, Classification, and Frequency of Systematic Error Computational Patterns in the Addition, Subtraction, Multiplication, and Division Vertical Algorithms for Grades 2-6 and Special Education Classes.
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Cox, Linda S. – 1974
Five reports from a 2-year study are presented. Frequencies and descriptions of systematic errors in the four algorithms in arithmetic were studied in upper-middle income, regular, and special education classrooms involving 744 children. Children were screened for adequate knowledge of basic facts and for receiving prior instruction on the…
Descriptors: Addition, Algorithms, Computation, Division
What can a Teacher Learn About a Pupil's Thinking Through Oral Interviews?
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Lankford, Francis G., Jr. – Arithmetic Teacher, 1974
Descriptors: Algorithms, Computation, Elementary School Mathematics, Fractions
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