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A Method of Subtraction
Peer reviewed Peer reviewed
Schwartzman, Steven – Arithmetic Teacher, 1975
A subtraction algorithm for numbers having several digits is described. The algorithm requires that, for digits in the same place, the smaller is always subtracted from the larger. (SD)
Descriptors: Algorithms, Basic Skills, Elementary Education, Elementary School Mathematics
An Algorithm for Reducing Fractions
Peer reviewed Peer reviewed
Bell, Kenneth M.; Rucker, Donald D. – Arithmetic Teacher, 1974
Descriptors: Algorithms, Basic Skills, Division, Elementary School Mathematics
A New Multiplication Algorithm: On the Complexity of Simplicity
Peer reviewed Peer reviewed
Brown, Stephen I. – Arithmetic Teacher, 1975
A multiplication algorithm based on a perfect square is described. (SD)
Descriptors: Algorithms, Basic Skills, Curriculum, Discovery Learning
Spatial and Modality Effects in Simple Mathematical Computation.
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Deichmann, John; Beattie, Ian – 1972
This study explored the effects of visual (vertical and horizontal) and oral presentation modes upon simple mathematical computations (addition, subtraction, and multiplication). Seventy-two undergraduate education majors were employed as subjects. The placement of the process sign (left, middle, right) and whether a one or two digit number…
Descriptors: Addition, Algorithms, Arithmetic, Basic Skills
Creating Algorithms for Multiplication
Cohen, Don – Mathematics Teaching, 1976
Upper elementary school students created their own algorithms for finding products of whole numbers. The algorithms were similar to familiar ones for finding products involving 9 and 11. (SD)
Descriptors: Algorithms, Basic Skills, Elementary Education, Elementary School Mathematics
Sharing the Wealth: Dividing with Meaning.
Peer reviewed Peer reviewed
Peterson, Wayne – Arithmetic Teacher, 1982
A model of the division algorithm is described which relates step-by-step to the standard algorithm. Use of the model in instruction requires the distribution of a special worksheet. The focus of the instruction is on students sharing some amount of money equally among several friends. (MP)
Descriptors: Algorithms, Basic Skills, Division, Elementary Education
Expanded Division.
Peer reviewed Peer reviewed
Patrick, Sarah E. – Arithmetic Teacher, 1982
Typical instruction of the division algorithm fails to justify why one brings down a number during the process. The construction and use of an aid is described which can be used to help explain the process of division to students. The aid emphasizes place-value aspects. (MP)
Descriptors: Algorithms, Basic Skills, Computation, Division
Diagnosing Computational Difficulty in the Classroom
Inskeep, James E., Jr. – NCTM Yearbook, 1978
How teachers can diagnose difficulties with computation is discussed, with emphasis on how to develop diagnostic tests. How to use such tests to plan remediation is considered in terms of several types of errors. (MN)
Descriptors: Algorithms, Basic Skills, Computation, Diagnostic Tests
Making Averaging Easier.
Peer reviewed Peer reviewed
Smith, Michael S. – Arithmetic Teacher, 1981
Three alternative methods of finding averages of two numbers are presented. (MP)
Descriptors: Algorithms, Arithmetic, Basic Skills, Computation
Low-Stress Algorithms
Peer reviewed Peer reviewed
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
How Computational Skills Contribute to the Meaningful Learning of Arithmetic
Hamrick, Katherine B.; McKillip, William D. – NCTM Yearbook, 1978
The changing role of computational skills is discussed. A level of computational skill desirable in light of predictable future needs is proposed, and four reasons for advocating that level are discussed. (MN)
Descriptors: Algorithms, Basic Skills, Computation, Curriculum Development
Systematic Errors in the Four Vertical Algorithms in Normal and Handicapped Populations
Peer reviewed Peer reviewed
Cox, L. S. – Journal for Research in Mathematics Education, 1975
In a two-year study, frequencies and descriptions of systematic errors in four algorithms in arithmetic were studied in regular and special education classrooms. (Author/SD)
Descriptors: Algorithms, Basic Skills, Elementary Education, Elementary School Mathematics
A Diary of Remedial Instruction in Division--Grade Seven
Peer reviewed Peer reviewed
Swart, William L. – Arithmetic Teacher, 1975
Students who were unsuccessful in performing long division were taught to use a successive subtractions algorithm. (SD)
Descriptors: Algorithms, Basic Skills, Division, Elementary School Mathematics
Problems in Teaching Form 1 Mathematics
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Rochester, J. F. – Australian Mathematics Teacher, 1975
The author argues that secondary-school teachers need to be more aware of the content of primary level mathematics work. Citing an algorithm, he discusses the issue of basic skills in relation to the increasing use of calculators. (SD)
Descriptors: Algorithms, Basic Skills, Curriculum, Elementary School Mathematics
Notes from National Assessment: Processes Used on Computational Exercises
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Carpenter, Thomas P.; And Others – Arithmetic Teacher, 1976
Various algorithms used in addition, subtraction, and division problems were identified. The percentages of people in the National Assessment survey populations using each method are reported, as are the percentages of those using the most popular methods who answered correctly. Implications for instruction are discussed. (SD) Aspect of National…
Descriptors: Algorithms, Basic Skills, Elementary School Mathematics, Elementary Secondary Education
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