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Steiner, Richard – American Mathematical Monthly, 1984
Why and how to teach about the real numbers as a complete ordered field is discussed. (MNS)
Descriptors: College Mathematics, Higher Education, Mathematics, Mathematics Instruction

Kaplan, James; Strauss, Aaron – Mathematics Teacher, 1976
The history of the study of dynamical systems is traced, examples are given, and the contribution of Birkhoff and Smale are described. (DT)
Descriptors: Algebra, Calculus, College Mathematics, Higher Education
Birnbaum, S. – MATYC Journal, 1975
Multi-valued logic is applied to the "Liar Paradox" and analyzed. (DT)
Descriptors: College Mathematics, Higher Education, Logic, Mathematics
Birnbaum, S. – MATYC Journal, 1976
The Law of the Excluded Middle and the Law of Contradiction are examined. (DT)
Descriptors: College Mathematics, Higher Education, Logic, Mathematics
Cohen, Donald R. – MATYC Journal, 1976
This paper develops a set of parametric equations for the prolate cycloid and analyzes the motion of the point generating this cycloid. (DT)
Descriptors: Analytic Geometry, College Mathematics, Geometric Concepts, Higher Education

Two-Year College Mathematics Journal, 1973
Brief articles on topological regular solids giving a proof of Euler's Theorem and the Regularity Theorem; calculus theorems; including a limit theorem, the Law of the Man, and the Intermediate Value Theorem, applied to catching calves, drunk cowboys, and the border of Montana Respectively; and a discussion of the inequality tan A<A<sin A…
Descriptors: Calculus, College Mathematics, Geometry, Mathematical Enrichment

Lancaster, H. O. – Australian Mathematics Teacher, 1972
Descriptors: Algebra, College Mathematics, Geometric Concepts, Mathematics

Schwarzenberger, R. L. E. – Mathematical Spectrum, 1971
Three examples of the use of intuitive geometrical ideas in clarifying analytical results. (MM)
Descriptors: Algebra, Calculus, College Mathematics, Geometric Concepts

Cohn, J. H. E. – Mathematical Spectrum, 1971
Descriptors: Arithmetic, College Mathematics, Logic, Mathematics

Lunnon, W. F. – Mathematical Spectrum, 1971
Describes an algorithm for calculating the number of ways of folding a map, and some analytical results. (MM)
Descriptors: College Mathematics, Computer Programs, Geometric Concepts, Mathematical Applications

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

McIntosh, Jerry A. – Mathematics Teacher, 1973
Descriptors: Analytic Geometry, Calculus, College Mathematics, Instruction

Shilgalis, Thomas W. – Mathematics Teacher, 1973
Descriptors: Algebra, Calculus, College Mathematics, Deduction

Prielipp, Robert W. – Mathematics Teacher, 1973
Descriptors: College Mathematics, Mathematics, Mathematics Education, Number Concepts
Rennie, B. C. – Mathematical Gazette, 1972
A simplified discussion of how a whip cracks and what happens when an ideal chain runs over an ideal pulley or off the edge of an ideal table. (MM)
Descriptors: College Mathematics, Kinetics, Mathematical Applications, Mathematics