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Graphical Number Theory
Weinstein, Marian – Mathematics Teaching, 1976
Use of graphs in studying greatest common divisors, least common multiples, and other concepts can illustrate patterns related to the definitions of these concepts. (SD)
Descriptors: Graphs, Instruction, Laboratory Procedures, Mathematics Education
Patterns: Digits, Squares, and Bases
Peer reviewed Peer reviewed
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
Number Plaits
Bennett, Richard – Mathematics Teaching, 1976
Students examined patterns emerging when numbers placed at vertices in a braided pattern were summed. (SD)
Descriptors: Algebra, Geometric Concepts, Induction, Instruction
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
From the Geoboard to Number Theory to Complex Numbers
Peer reviewed Peer reviewed
Lichtenberg, Donovan R. – Mathematics Teacher, 1975
Observation of patterns constructed on geoboards can lead to discussions of properties of primes, number sequences, and complex numbers. (SD)
Descriptors: Geometric Concepts, Instruction, Manipulative Materials, Number Concepts