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Dunn, Jas. A. – Mathematics in School, 1974
Descriptors: Mathematical Vocabulary, Mathematics Education, Number Concepts, Numbers
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Knott, Roger – Mathematics in School, 1979
The historical development of the integers, the rationals, the reals, and the complex numbers is traced. (MK)
Descriptors: Mathematical Concepts, Mathematics, Mathematics Education, Mathematics History
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Renwick, E. M. – Mathematics in School, 1974
Descriptors: Diagrams, Elementary School Mathematics, Instruction, Instructional Materials
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Eperson, D. B. – Mathematics in School, 1973
Descriptors: Algorithms, Mathematics, Number Concepts, Secondary School Mathematics
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Watson, F. R. – Mathematics in School, 1976
A series of questions can be posed and resolved in the process of teaching that the decimal expansions of rationals are terminating or repeating. (SD)
Descriptors: Curriculum, Decimal Fractions, Geometry, Instruction
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Barr, George – Mathematics in School, 1980
The purpose of this report is to make a tentative contribution to the knowledge of students' understanding of the significance of numerical information. The article relates to a study made by the author. (Author/MK)
Descriptors: Academic Achievement, Comprehension, Error Patterns, Number Concepts
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Thwaites, G. N. – Mathematics in School, 1989
Discusses a counting system and number operations. Suggests six distinct areas in a "number" subject: one-to-one correspondences; simple counting process; complicated counting process; addition and multiplication; algorithms for the operations; and the decimal system. (YP)
Descriptors: Arithmetic, Computation, Elementary School Mathematics, Mathematical Concepts
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Stewart, Ian; Tall, David – Mathematics in School, 1979
The author argues that the idea of canonical elements provides a coherent relationship between equivalence relations, the basis of modern approaches to too many mathematical topics, and the traditional aspect of computation. Examples of equivalent relations, canonical elements, and their calculations are given. (MK)
Descriptors: Computation, Mathematics, Mathematics Curriculum, Mathematics Education
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McAuley, Joe – Mathematics in School, 1990
Provides methods of teaching negative number operations, including addition, subtraction, and multiplication. Presents examples and activities for the operations. (YP)
Descriptors: Addition, Arithmetic, Computation, Integers
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Holmes, P. – Mathematics in School, 1974
The major portion of the article establishes the basis for the stated rule - to divide by a fraction, turn it upside down and multiply. With this background, three justifications for the rule are given. Several possible errors in students' use of the rule are noted. (LS)
Descriptors: Algorithms, Computation, Division, Elementary School Mathematics
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English, Richard – Mathematics in School, 1985
Tests for divisibility in bases 2 through 10 are presented. Two strategies used by a group of fourth-year students are described. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Learning Activities, Mathematics
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Milner, W. W. – Mathematics in School, 1985
Some background information and guidelines on computer generation of random numbers is presented. Sections concern ways of generating random numbers and descriptions of statistical tests. (MNS)
Descriptors: Computer Software, Mathematics Instruction, Microcomputers, Number Concepts
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Wyvill, Ron – Mathematics in School, 1973
Modular arithmetic is used to find the frequency of Friday 13th's in any year. (MM)
Descriptors: Arithmetic, Elementary School Mathematics, Mathematical Applications, Mathematics
Peer reviewed Peer reviewed
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
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Johnston, J. H. – Mathematics in School, 1972
After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…
Descriptors: Algorithms, Arithmetic, Mathematical Concepts, Mathematics
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