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Pinker, Aron – Two-Year College Mathematics Journal, 1972
Descriptors: Calculus, College Mathematics, Mathematics, Number Concepts

Schmalz, Rosemary – Two-Year College Mathematics Journal, 1972
Descriptors: College Mathematics, Instruction, Mathematics, Number Concepts

Rothbart, Andrea – Mathematics Teacher, 1972
Descriptors: Instruction, Mathematics, Mathematics Education, Number Concepts
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

Boas, R. P., Jr. – Two-Year College Mathematics Journal, 1972
The problem of getting a correct result when a fraction is reduced by cancelling a digit which appears in both the numerator and the denominator is extended from the base ten situation to any number base. (DT)
Descriptors: Algorithms, College Mathematics, Fractions, Mathematics
Davies, M. J. – Mathematical Gazette, 1971
All the familiar numbers (rationals, algebraic numbers and a few transcendental numbers) have measure zero. (MM)
Descriptors: Mathematics, Number Concepts, Number Systems, Numbers

Prielipp, Robert W. – Mathematics Teacher, 1970
Descriptors: Algebra, College Mathematics, Mathematics, Number Concepts
Glaser, Anton – 1971
This study traces the development of nondecimal numeration from the 16th century to the present. The first six chapters detail the contributions of mathematicians as well as people from other fields. Applications to computers are covered in one chapter, while another chapter discusses the coverage of numeration systems in college textbooks for…
Descriptors: Enrichment Activities, Mathematicians, Mathematics, Mathematics History
Slovin, Hannaha; Dougherty, Barbara J. – International Group for the Psychology of Mathematics Education, 2004
This paper describes a design research study with ten second-grade students who are part of the Measure Up (MU) research and development project underway at the University of Hawai'i. Students were asked how they counted in multiple bases, specifically how they knew when to go to a new place value and why it was necessary to do so. All ten…
Descriptors: Number Concepts, Concept Formation, Number Systems, Mathematics

Woo, Norman – Mathematics Teacher, 1973
Descriptors: Instruction, Integers, Mathematics, Number Concepts

Allison, Joe Frank – Mathematics Teacher, 1972
Descriptors: Graphs, Instruction, Mathematics, Number Systems
Ringenberg, Lawrence A. – 1956
A brief survey of the elementary number systems is provided. The natural numbers, integers, rational numbers, real numbers, and complex numbers are discussed; numerals and the use of numbers in measuring are also covered. (DT)
Descriptors: Mathematics, Mathematics Education, Number Concepts, Number Systems

Austin, Joe Dan – Mathematics Teacher, 1978
It is shown that a unit segment can be constructed from a given line segment of length the square root of x if x is a surd. (MP)
Descriptors: Geometric Concepts, Geometry, Mathematics, Number Systems

Weimer, Richard C. – Two-Year College Mathematics Journal, 1976
The question of whether the complex numbers can be ordered was investigated. (DT)
Descriptors: College Mathematics, Higher Education, Instruction, Mathematics
Hale, David; Wells, Peter – Mathematics Teaching, 1972
Descriptors: Instruction, Mathematical Enrichment, Mathematics, Number Concepts