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Reys, Robert E., Ed.; Reys, Barbara J., Ed. – Arithmetic Teacher, 1986
Using factoring as an aid to mental multiplication is illustrated. Other suggestions for teaching mental computation are also included. (MNS)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Mathematics Instruction

Sowder, Judith T. – Arithmetic Teacher, 1990
Discusses mental computation and how and when it should be taught. Describes seven properties of mental algorithms. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics

Reys, Robert E. – Arithmetic Teacher, 1985
This article calls attention to testing as an integral part of teaching mental computation. It begins with an overview of students' performance and is followed by some specific suggestions for testing mental computation skills in the classroom. (Author)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Mathematics Education

Rea, Robert E.; French, James – Arithmetic Teacher, 1972
A study of activities in mental computation and in paper and pencil enrichment activities for sixth graders showed that both treatments produced increases in achievement test scores. Examples of both types of activities used are included. (DT)
Descriptors: Achievement, Computation, Educational Games, Elementary School Mathematics

Musser, Gary L. – Arithmetic Teacher, 1982
Two mental algorithms, one for addition and one for subtraction, are described. It is felt such algorithms should be taught explicitly. The usual process taught for paper and pencil is seen to inhibit mental arithmetic, and a need to include mental algorithms in the regular mathematics curriculum is promoted. (MP)
Descriptors: Addition, Algorithms, Computation, Elementary Education

Holmes, Emma E. – Arithmetic Teacher, 1975
Games for use in practicing rounding numbers and mental computation using tens and hundreds are described. The importance of estimation to computation is discussed. (SD)
Descriptors: Basic Skills, Computation, Elementary Education, Elementary School Mathematics

Kurland, Theodore E. – Arithmetic Teacher, 1990
Presented is a method of teaching adding and subtracting as an interrelated series of patterns using a number line. Examples of the use of this method as well as the materials necessary are discussed. Applications of the method to multiplication and division are given. (CW)
Descriptors: Addition, Arithmetic, Computation, Elementary Education

Wiebe, James H. – Arithmetic Teacher, 1987
What students need to know in a world where most computations are done by machine is discussed. Needed changes in the mathematics curriculum are then detailed in relation to mental arithmetic, numeration, decimals and fractions, paper-and-pencil computation, order of operations, problem solving, and instruction on calculator use. (MNS)
Descriptors: Calculators, Computation, Curriculum Development, Educational Planning

Smart, James R. – Arithmetic Teacher, 1979
Answers and examples are given to sixteen questions related to traditional ways of performing the operations of arithmetic. (MP)
Descriptors: Algorithms, Computation, Concept Formation, Elementary Education

Johnson, Phillip E. – Arithmetic Teacher, 1978
A discussion of the check of nines for the four arithmetic operations is given along with an explanation of why it works. (MP)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Instruction

Trafton, Paul R. – Arithmetic Teacher, 1986
Discussed is the need to rethink computation in terms of what is critical, how computation is taught, and what constitutes computation. (MNS)
Descriptors: Computation, Editorials, Educational Change, Elementary Education

Bates, Tom; Rousseau, Leo – Arithmetic Teacher, 1986
The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education

Haigh, William E. – Arithmetic Teacher, 1983
Doing (addition and multiplication) and undoing (subtraction and division) are illustrated through drawings and sentences. Combinations of operations are also included. (MNS)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Learning Activities

Battista, Michael T. – Arithmetic Teacher, 1983
The "positive-negative charge" model is described and demonstrated with all four operations on integers. Its major advantages are that it is both concrete and complete. (MNS)
Descriptors: Computation, Instructional Materials, Integers, Mathematical Models

Parker, Janet; Widmer, Connie Carroll – Arithmetic Teacher, 1992
Describes the method to solve problems called T-E-M-T-T: trial, error, and modified trial through technology. The method integrates students' skills of estimation, mental computation, and appropriate choice of calculator use. Includes 2 activities for each of grades K-4 and 5-8 that illustrate the method. (MDH)
Descriptors: Calculators, Computation, Computer Assisted Instruction, Elementary Education