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Schultz, James E.; Burger, William F. – College Mathematics Journal, 1984
Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)
Descriptors: College Mathematics, Higher Education, Mathematics, Mathematics Instruction

Blake, Rick N. – Mathematics Teacher, 1984
Involving students in generating and solving their own problems is proposed. A method for generating problems by using a number puzzle is presented. Ideas for using the "what if not" technique are also given. (MNS)
Descriptors: Algebra, Mathematics Instruction, Number Concepts, Problem Sets

Kennedy, Robert E.; And Others – School Science and Mathematics, 1983
To help mathematics teachers introduce and reinforce concepts and processes by using relevant problems, several such problems are presented and discussed. (MNS)
Descriptors: Functions (Mathematics), Geometric Concepts, Mathematical Concepts, Mathematics Instruction
Piele, Donald T. – Creative Computing, 1980
Problems are presented that can be solved with a microcomputer which explore the binary, decimal, and hexadecimal number systems and related problems. (Author/TG)
Descriptors: Computer Programs, Computer Science Education, Mathematical Concepts, Mathematics Education
Lott, Johnny W., Ed. – Student Math Notes, 1990
Five sets of activities for students are included in this document. Each is designed for use in secondary school mathematics instruction. Topics include: (1) "5-Con Triangles"; (2) "Striking Sequences"; (3) "Invariants"; (4) "On the Ball," (a geometry lesson); and (5) "Coloring Maps." These topics focus on geometric and statistical concepts. Each…
Descriptors: Enrichment Activities, Geometric Concepts, Geometry, High Schools

Francis, Richard L. – Mathematics Teacher, 1993
A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)
Descriptors: Discovery Learning, High Schools, Higher Education, Investigations

Tabler, M. Bernadine; Jacobson, Marilyn Hall – Arithmetic Teacher, 1980
Presented are activities which give practice in making estimates, gathering data, and checking the reasonableness of results. (TG)
Descriptors: Decimal Fractions, Elementary School Mathematics, Elementary Secondary Education, Learning Activities
Soifer, Alexander – 1987
This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)
Descriptors: Algebra, College Mathematics, Geometry, Higher Education