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Research on a "New" Method of Subtraction
Peer reviewed Peer reviewed
Hoppe, Ruth C. – Arithmetic Teacher, 1975
The author taught one group using the traditional subtraction algorithm and one using an equal additions algorithm. Students in the latter group showed greater success than the former. (SD)
Descriptors: Algorithms, Curriculum, Elementary Education, Elementary School Mathematics
Musing on Multiplication
Brown, Stephen I. – Mathematics Teaching, 1974
The author advocates the classroom consideration of new algorithms as a means of leading students to make original hypotheses. He discusses a multiplication algorithm based on the differences between squares. (SD)
Descriptors: Algorithms, Curriculum, Elementary Education, 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
Using Money to Clarify the Decomposition Subtraction Algorithm
Peer reviewed Peer reviewed
Bachrach, Beatrice – Arithmetic Teacher, 1976
The author describes a technique for teaching various aspects of the subtraction algorithm (e.g., regrouping, borrowing) by relating them to the use of money. (SD)
Descriptors: Algorithms, Curriculum, Elementary Education, Elementary School Mathematics
Mathematics Learning in Early Childhood: Operations on Whole Numbers
Peer reviewed Peer reviewed
Folsom, Mary – National Council of Teachers of Mathematics Yearbook, 1975
Instruction on properties of whole numbers, the meanings of operations on whole numbers, symbolic representation and algorithms for completing these operations is discussed. Many activities appropriate to each of these topics, and suitable for primary school children, are presented. (SD)
Descriptors: Algorithms, Curriculum, Elementary Education, Elementary School Mathematics
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
Effects of Hutchings'"Low Fatigue" Algorithm on Children's Addition Scores Compared Under Varying Conditions of Token Economy Reinforcement and Problem Difficulty.
Alessi, Galen James – 1974
This study investigated the effects of the nature of the algorithm, reinforcement, and level of problem difficulty on the ability of fourth graders to solve addition problems as measured by the number of problems correctly solved and the number of columns attempted. Subjects were selected for high scores on a test of basic addition facts; only…
Descriptors: Addition, Algorithms, Comparative Analysis, Curriculum
The Ability of Sixth Grade Students to Associate Mathematical Terms With Related Algorithms.
Ebeling, David George – 1973
The "modern mathematics" curriculum places considerably more emphasis on the use of precise terminology when referring to properties of whole numbers than did previous curricula. The relationship between the ability to make these verbal associations and other aspects of mathematics achievement of sixth graders is investigated in this study A…
Descriptors: Algorithms, Curriculum, Doctoral Dissertations, Elementary Education
Elementary School Mathematics: A Guide to Current Research. Fourth Edition.
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Callahan, Leroy G.; Glennon, Vincent J. – 1975
The four sections of this monograph review current research related to mathematics education from the points of view of studies concerning (1) the curriculum, (2) the child, (3) the learning environment, and (4) teaching methods. Topics addressed in part one include the sources of mathematics curricula, the curricular validity of "new…
Descriptors: Algorithms, Child Development, Curriculum, Curriculum Research