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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

Cleminson, Robert A. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education

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
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
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

Tucker, Benny F. – Arithmetic Teacher, 1973
Descriptors: Algorithms, Decimal Fractions, Division, Elementary School Mathematics

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

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

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

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

Olson, Alton T. – Mathematics Teacher, 1974
Descriptors: Algebra, Algorithms, Generalization, Induction
Dade County Public Schools, Miami, FL. – 1971
Designed for the student who has acquired basic computational skills with non-negative rational numbers, this guidebook delineates minimum course content to further develop students' computational skills with whole numbers. Place value and estimation are also covered. General goals, performance objectives, a course outline, suggested teaching…
Descriptors: Algorithms, Behavioral Objectives, Computation, Curriculum

Zeddies, Melvin L. – Mathematics Teacher, 1981
Examples of student-developed methods for dividing fractions and dividing and multiplying whole numbers are presented. Both are selected to show mathematical creativity in general mathematics students which would often be overlooked. (MP)
Descriptors: Algorithms, Creativity, Division, Elementary Secondary Education
Wyks, Hollis W.; Austin, Robert J. – 1971
This is the first workbook-text in a two-part series written for deaf students. It is remedial in nature, aimed at the secondary level, and covers addition, subtraction, multiplication, and division of whole numbers. The use of the number 10 in explaining the concepts presented is stressed throughout. For the second workbook, see SE 015 828, and…
Descriptors: Algorithms, Arithmetic, Deafness, Instructional Materials

Hutchings, Barton – National Council of Teachers of Mathematics Yearbook, 1976
Algorithms for the four basic operations on whole numbers are described; these algorithms provide for sequential recording of all steps in the operations. (SD)
Descriptors: Algorithms, Basic Skills, Curriculum, Elementary Education
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