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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

Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1985
Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)
Descriptors: Diagrams, Learning Activities, Mathematics, Mathematics Instruction
Ehrlich, Amos – Mathematics Teaching, 1978
Described are results obtained by students investigating double-diagrams, including discoveries of properties and accompanying proofs. (MP)
Descriptors: Diagrams, Discovery Learning, Elementary Secondary Education, Instruction

Orton, Tony; Reynolds, Charles – Mathematics in School, 1986
Advocated is developing intuitive ideas of limits whenever the opportunity arises in elementary mathematics. Examples are given for geometry, fractions, sequences and series, areas, probability, graphing, and the golden section. (MNS)
Descriptors: Elementary Secondary Education, Learning Activities, Mathematics, Mathematics Curriculum
Gadge, Margaret W. – Mathematics Teaching, 1978
Similar rectangles are the basis of a set of activities using newspaper. Topics arising include infinite series and Pythagorean theorem. (MP)
Descriptors: Elementary Secondary Education, Geometric Concepts, Instruction, Learning Activities

DiDomenico, Angelo S. – Mathematics Teacher, 1985
Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)
Descriptors: Addition, Geometric Concepts, Learning Activities, Mathematics

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

Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1976
Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)
Descriptors: Instruction, Learning Activities, Mathematics, Mathematics Education

Austin, Joe Dan – Mathematics Teacher, 1979
Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)
Descriptors: Algebra, Discovery Learning, Geometry, Instruction

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

Mauland, Lyle E. – Mathematics Teacher, 1985
Patterns resulting from polygonal numbers are explored, with examples of triangular, square, pentagonal, rectangular, and other numbers. Tables and formulas to be developed are included. (MNS)
Descriptors: Geometric Concepts, Learning Activities, Mathematics, Mathematics Instruction

Booth, Lesley R. – Australian Mathematics Teacher, 1989
Discusses the importance of identifying and describing the pattern by students in algebra class. Provides some examples showing the usefulness of the method seeing the pattern from mathematical materials. (YP)
Descriptors: Algebra, Mathematical Concepts, Mathematical Formulas, Mathematical Logic
Trivett, John V. – 1980
Activities and problems are interspersed with commentary in this book on the learning and teaching of mathematics. The emphasis is on helping students to enjoy mathematics through an awareness of structure and patterns. The chapter titles are as follows: (1) "My Three Sons--A Game"; (2) "The Tower Game"; (3) "Mathematical Games on a Different…
Descriptors: Computation, Elementary School Mathematics, Elementary Secondary Education, Foreign Countries

Baker, Delores; And Others – Arithmetic Teacher, 1990
Uses of calculators to teach the concept of exponents are described. Topics covered on activity sheets include powers of two, number systems, and powers as repeated multiplication. Cooperative learning is emphasized. (KR)
Descriptors: Calculators, Computation, Concept Formation, Elementary School Mathematics