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A Computer Note on Perfect Numbers.
Peer reviewed Peer reviewed
Travis, David L. – Mathematics and Computer Education, 1983
A student noticed an interesting fact about the base two numerals for perfect numbers. Mathematical explanations for some questions are given. (MNS)
Descriptors: College Mathematics, Computers, Higher Education, Mathematics
More on Generalized h-Base.
Peer reviewed Peer reviewed
Dence, Thomas P. – Mathematics and Computer Education, 1983
Representation of integers in various bases is explored, with a proof. (MNS)
Descriptors: College Mathematics, Higher Education, Integers, Mathematics
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
The Binary Representation of Rational Numbers.
Peer reviewed Peer reviewed
Schmalz, Rosemary – Mathematics and Computer Education, 1987
Presented are the mathematical explanation of the algorithm for representing rational numbers in base two, paper-and-pencil methods for producing the representation, some patterns in these representations, and pseudocode for computer programs to explore these patterns. (MNS)
Descriptors: Algorithms, College Mathematics, Computer Software, Higher Education
Semiperfect and Integer-Perfect Numbers.
Peer reviewed Peer reviewed
Costello, Patrick – Mathematics and Computer Education, 1991
The number theory concepts of perfect, deficient, and abundant numbers are subdivided and then utilized to discuss propositions concerning semiperfect, weird, and integer-perfect numbers. Conjectures about relationships among these latter numbers are suggested as avenues for further investigation. (JJK)
Descriptors: College Mathematics, Higher Education, Mathematics Education, Mathematics Instruction
Computer Discovery of a Theorem of Modern Algebra.
Peer reviewed Peer reviewed
Simmonds, Gail – Mathematics and Computer Education, 1982
Results obtained from investigating number properties are discussed, along with six points that are felt, in general, to be the ingredients necessary for a successful learning experience. Two programs written in BASIC designed to aid in aspects of Number Theory are included. (MP)
Descriptors: College Mathematics, Computer Programs, Higher Education, Mathematics Instruction
Good Numbers.
Peer reviewed Peer reviewed
Metz, James – Mathematics and Computer Education, 1984
A study of a class of numbers called 'Good numbers' can provide students with many opportunities for investigation, conjecture, and proof. Definitions and proofs are presented along with suggested questions. (MNS)
Descriptors: College Mathematics, Discovery Learning, Higher Education, Mathematics
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
Right Answer--Wrong Method.
Peer reviewed Peer reviewed
Harris, Whitney, Jr. – Mathematics and Computer Education, 1985
An example is given of how to help students who have obtained a correct answer by a wrong method. They are asked to suppose that a child has found an easy method for division, and eventually write a computer program to show the correct method. (MNS)
Descriptors: College Mathematics, Computer Software, Division, Elementary School Mathematics
Fibonacci Numbers and the Spreadsheet.
Peer reviewed Peer reviewed
Verderber, Nadine L. – Mathematics and Computer Education, 1991
Described is a classroom activity incorporating a computer spreadsheet to study number patterns generated by the Fibonacci sequence. Included are examples and suggestions for the use of the spreadsheet in other recursive relationships. (JJK)
Descriptors: Computer Assisted Instruction, Mathematical Enrichment, Mathematics Education, Mathematics Instruction
How to Illustrate Numerical Accuracy Problems on any Computer.
Peer reviewed Peer reviewed
Simon, Stephen D. – Mathematics and Computer Education, 1987
Numerical inaccuracies, which occur in many ordinary computations, can create serious problems and render answers meaningless. Cancellation and accumulation errors are described, and suggestions for experimentation are discussed. (MNS)
Descriptors: College Mathematics, Computer Software, Error Patterns, Higher Education
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