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Ballew, Hunter – Arithmetic Teacher, 1974
Descriptors: Elementary School Mathematics, Fractions, Instruction, Mathematical Vocabulary

Wiebe, James H. – Arithmetic Teacher, 1981
Three methods for using four-function, counting calculators for developing understanding of the meaning of square roots and operations on whole and rational numbers are described. (MP)
Descriptors: Calculators, Elementary Education, Elementary School Mathematics, Learning Activities

Ercolano, Joseph – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Mathematics Education

Moody, William B. – Arithmetic Teacher, 1975
Five open-ended problems are suggested which lead students to investigate basic number properties and numeration characteristics. (JP)
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Mathematical Enrichment, Modern Mathematics

Prielipp, Robert W. – Arithmetic Teacher, 1971
Descriptors: Elementary School Mathematics, Fractions, Instruction, Mathematics Education

Lappan, Glenda, Ed. – Arithmetic Teacher, 1987
Described are children's strategies in thinking about fraction order and equivalence. The data are based on two teaching experiments with fourth and fifth-grade children. Some sample activities for teaching order and equivalence are included. (RH)
Descriptors: Elementary School Mathematics, Fractions, Grade 4, Grade 5

Kieren, Thomas E. – Arithmetic Teacher, 1984
The mechanisms, images, and language needed for the development of rational-number ideas are briefly discussed. Such ideas are sophisticated and different from natural-numbers ideas. (MNS)
Descriptors: Cognitive Processes, Decimal Fractions, Editorials, Elementary Education

Moulton, J. Paul – Arithmetic Teacher, 1975
The author describes a model for operations on the set of rationals. Thi s model, used by students in a laboratory situation, is based on an easily constructed number balance. (SD)
Descriptors: Elementary Education, Elementary School Mathematics, Instruction, Instructional Materials

Kastner, Bernice – Arithmetic Teacher, 1989
Measurement experiences can promote and illustrate number work in an intuitively satisfying way. Some current practices that are counterproductive for developing number sense and some alternative strategies that are more constructive are included in discussions of the approximate nature of measurement, realistic measurement, and work with rational…
Descriptors: Computation, Decimal Fractions, Elementary Education, Elementary School Mathematics

Prielipp, Robert W. – Arithmetic Teacher, 1976
Development of the repeating decimal expansion for rational numbers is discussed. Expressions for numbers in other bases are also presented. (SD)
Descriptors: Curriculum, Decimal Fractions, Elementary School Mathematics, Elementary Secondary Education

Skypek, Dora Helen B. – Arithmetic Teacher, 1984
Interpretation of rational numbers as fractions, ratios, percentages, and quotients of integers are discussed. Then coding conventions are noted, and equivalence classes are described. Finally, density and order are discussed. (MNS)
Descriptors: Division, Elementary Education, Elementary School Mathematics, Fractions

Swart, William L. – Arithmetic Teacher, 1981
More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)
Descriptors: Decimal Fractions, Elementary Education, Elementary School Mathematics, Fractions

Arnold, William R. – Arithmetic Teacher, 1974
Descriptors: Division, Elementary School Mathematics, Geometric Concepts, Instruction

Jencks, Stanley M.; Peck, Donald M. – Arithmetic Teacher, 1975
Some students can perform operations on fractions when using physical materials, but are unable to transfer this ability to operations with symbolic expressions. They seem to view the manipulative and paper-and-pencil problems as different and are not surprised to get different answers. (SD)
Descriptors: Elementary Education, Elementary School Mathematics, Fractions, Learning

Glatzer, David J. – Arithmetic Teacher, 1984
Ideas for teaching the concepts of percentage, recognition of patterns in percentages, percentage as a special ratio, ways of finding percentages, and fractional percentages are presented. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Mathematics Instruction, Pattern Recognition