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Developing the Euclidean Algorithm.
Peer reviewed Peer reviewed
Levine, Deborah – Mathematics and Computer Education, 1983
The Euclidean algorithm for finding the greatest common divisor is presented. (MNS)
Descriptors: Algorithms, College Mathematics, Computation, Higher Education
Computer Representation of Decimal Numbers.
Peer reviewed Peer reviewed
Schoaff, Eileen; Rising, Gerald – Mathematics and Computer Education, 1990
Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)
Descriptors: Algorithms, Computation, Decimal Fractions, Mathematical Applications
Repeating Decimals.
Peer reviewed Peer reviewed
Anderson, Oliver D. – Mathematics and Computer Education, 1990
Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)
Descriptors: Arithmetic, Computation, Decimal Fractions, Division
A Classroom Note on Factoring and the Division Algorithm.
Peer reviewed Peer reviewed
Joyner, Virginia G.; Haggard, Paul W. – Mathematics and Computer Education, 1990
Discusses how to express an n factorial as a product of powers of primes. Provides two examples and answers. Presents four related suggestions. (YP)
Descriptors: Algorithms, College Mathematics, Computation, Division
Computer versus Analytic Solution: A Warning against Premature Answer Peeking.
Peer reviewed Peer reviewed
Anderson, Oliver D. – Mathematics and Computer Education, 1989
Compares two methods of approaching problem solving in quantitative disciplines. The danger of looking at answers too quickly is discussed. (YP)
Descriptors: Arithmetic, College Mathematics, Computation, Computer Software
Teaching Numerical Integration in a Revitalized Calculus.
Peer reviewed Peer reviewed
Fay, Temple H. – Mathematics and Computer Education, 1990
Described is an approach to the derivation of numerical integration formulas. Students develop their own formulas using polynomial interpolation and determine error estimates. The Newton-Cotes formulas and error analysis are reviewed. (KR)
Descriptors: Algebra, College Mathematics, Computation, Computer Assisted Instruction
Horse, A Probabilistic Look at a Game of Chance.
Peer reviewed Peer reviewed
Maruszewski, Richard F., Jr. – Mathematics and Computer Education, 1990
Describes a five-dice game, horse. Discusses the offensive player's strategy using the ideas of probability, such as counting outcomes, mutually exclusive events, conditional probabilities, zero sum games, and the use of computer. (YP)
Descriptors: College Mathematics, Computation, Computer Uses in Education, Educational Games
A Bayesian Revision Index: An Aid for Interpretation and Verification of Solutions for Introductory Statistics Classes.
Peer reviewed Peer reviewed
Jarrell, Stephen – Mathematics and Computer Education, 1990
Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)
Descriptors: Bayesian Statistics, College Mathematics, Computation, Decimal Fractions
Error Bounds for Interpolative Approximations.
Peer reviewed Peer reviewed
Gal-Ezer, J.; Zwas, G. – Mathematics and Computer Education, 1990
Elementary error estimation in the approximation of functions by polynomials as a computational assignment, error-bounding functions and error bounds, and the choice of interpolation points are discussed. Precalculus and computer instruction are used on some of the calculations. (KR)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction
Explicit Formula for Summing 1(k)+2(k)+...+n(k).
Peer reviewed Peer reviewed
Anderson, Oliver D. – Mathematics and Computer Education, 1990
Discussed is the use, importance, and availability of programmed algebraic manipulation packages. The general power summation formula is presented and an example using a programed numerical verification package is provided. (KR)
Descriptors: Algebra, College Mathematics, Computation, Computer Assisted Instruction
Magic Squares and Arithmetic Progressions.
Peer reviewed Peer reviewed
Knee, David – Mathematics and Computer Education, 1988
Discusses the mathematical properties of magic squares. Includes a computer program that will test magic square criteria. (PK)
Descriptors: Computation, Computer Assisted Instruction, Computer Uses in Education, Courseware
Using Computer Symbolic Algebra to Solve Differential Equations.
Peer reviewed Peer reviewed
Mathews, John H. – Mathematics and Computer Education, 1989
This article illustrates that mathematical theory can be incorporated into the process to solve differential equations by a computer algebra system, muMATH. After an introduction to functions of muMATH, several short programs for enhancing the capabilities of the system are discussed. Listed are six references. (YP)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction
Using Computer Algebra Systems to Teach the Fundamental Theorem of Calculus.
Peer reviewed Peer reviewed
Mathews, John H. – Mathematics and Computer Education, 1989
Described is a computer algebra system that can be used to help students understand the calculus. Provides several examples of solving calculus problems using muMATH. Lists eight references. (YP)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction