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Swenton, Frank J. – International Journal of Mathematical Education in Science & Technology, 2006
The paper details a comprehensive system for the treatment of the topic of limits--conceptually, computationally, and formally. The system addresses fundamental linguistic flaws in the standard presentation of limits, which attempts to force limit discussion into the language of individual real numbers and equality. The system of near-numbers…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Number Systems
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Arzt, Joshua; Gaze, Eric – Mathematics and Computer Education, 2004
Divisibility tests for digits other than 7 are well known and rely on the base 10 representation of numbers. For example, a natural number is divisible by 4 if the last 2 digits are divisible by 4 because 4 divides 10[sup k] for all k equal to or greater than 2. Divisibility tests for 7, while not nearly as well known, do exist and are also…
Descriptors: Number Concepts, Mathematics Education, Arithmetic, Number Systems
Harrison, John – Mathematics Teaching Incorporating Micromath, 2006
In this article, the author believes that a visual image of the number system is helpful to everyone, especially children, in understanding what is, after all, an abstract idea. The simplest model is the number line, a row of equally spaced numbers, starting at zero. This illustrates the continuous progression of the natural numbers, moving to the…
Descriptors: Arithmetic, Number Systems, Young Children, Models
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Yan, S. Y.; James, G. – International Journal of Mathematical Education in Science & Technology, 2006
The modular exponentiation, y[equivalent to]x[superscript k](mod n) with x,y,k,n integers and n [greater than] 1; is the most fundamental operation in RSA and ElGamal public-key cryptographic systems. Thus the efficiency of RSA and ElGamal depends entirely on the efficiency of the modular exponentiation. The same situation arises also in elliptic…
Descriptors: Mathematics, Item Response Theory, Calculus, Multivariate Analysis
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Rahmlow, Harold F.; And Others
This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…
Descriptors: Arithmetic, Number Systems, Numbers, Programed Instructional Materials
New York State Education Dept., Albany. Bureau of School and Cultural Research. – 1972
This is the first volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…
Descriptors: Arithmetic, Behavioral Objectives, Curriculum, Elementary School Mathematics
Bureau of Naval Personnel, Washington, DC. – 1966
The first of three volumes of a mathematics training course for Navy personnel, this document covers a wide range of basic mathematics. The text begins with number systems, signed numbers, fractions, decimals, and percentages and continues into algebra with exponents, polynomials, and linear equations. Early chapters were designed to give insight…
Descriptors: Algebra, Arithmetic, Geometry, Instructional Materials
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Reynolds, Barbara E. – College Mathematics Journal, 1993
Discusses the history of different methods of representing numbers and how these representations facilitated counting and computing devices such as the abacus. (MDH)
Descriptors: Arithmetic, Calculators, Coding, Computation
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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
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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
Allen, Charles; And Others – 1970
Developed by a committee of the National Council of Teachers of Mathematics, this publication is designed to help teachers provide interesting and worthwhile learning opportunities for slow learners in grades five through eight. It employs a variety of teaching strategies, many not commonly known or practiced, which are particularly helpful with…
Descriptors: Arithmetic, Elementary School Mathematics, Instruction, Instructional Materials
Barney, LeRoy – Today's Education, 1973
Arithmetic reading can be made lighter if teacher explains vocabulary, selects simple text, and aids in improving reading skills. (DS)
Descriptors: Arithmetic, Mathematical Vocabulary, Mathematics Curriculum, Mathematics Instruction
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Mann, Nathaniel, III – Mathematics Teacher, 1972
Descriptors: Addition, Arithmetic, Instruction, Mathematical Enrichment
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Zaslavsky, Claudia – Math Teacher, 1970
Discusses the traditional number systems and the origin of the number names used by several African peoples living south of the Sahara. Also included are limitations in African mathematical development, and possible topics for research. (RP)
Descriptors: African Culture, African History, Arithmetic, Fundamental Concepts
Kelly, Peter – Mathematics Teaching, 2002
Evaluates the National Numeracy Strategy (NNS) as a successful framework for promoting confidence and competence with numbers and measures, an understanding of the number system, a repertoire of computational skills, and the ability to solve number problems in a variety of school contexts. Suggests taking steps to change children's mathematical…
Descriptors: Arithmetic, Elementary Education, Foreign Countries, Mathematics Education
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