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Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1973
Descriptors: Instruction, Mathematical Applications, Mathematical Enrichment, Mathematics Education

Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1979
The simultaneous solution of equations in polar form does not always yield the points of intersection of their graphs. An explanation is given. (MP)
Descriptors: Algebra, Analytic Geometry, Graphs, Instruction

Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1978
A formula for predicting population, given past data, is presented. Decade census reports for the United States are used to analyze problems that might occur in prediction. (MP)
Descriptors: Instruction, Mathematical Applications, Mathematics, Population Growth

Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1984
How probabilities change when playing the game of craps with dice having 8, 12, or 20 faces is discussed. Five challenge questions are also included. (MNS)
Descriptors: Educational Games, Mathematical Enrichment, Mathematics Instruction, Probability

Duncan, David R.; Litwiller, Bonnie H. – School Science and Mathematics, 1975
Methods of determining probabilities of various outcomes of the game Yahtzee are described. (SD)
Descriptors: Experiential Learning, Games, Mathematical Applications, Probability

Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1976
A geometric area problem is analyzed and generalized. (DT)
Descriptors: Elementary Secondary Education, Geometric Concepts, Instruction, Learning Activities

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

Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1977
Ten problems involving large calculations are described for classroom use with a calculator. (JT)
Descriptors: Calculators, Computation, Instruction, Learning Activities

Duncan, David R.; Litwiller, Bonnie H. – School Science and Mathematics, 1976
Tables of life expectancy can provide data for use in a great variety of problems related to probability theory. (SD)
Descriptors: Curriculum, Instruction, Learning Activities, Mathematical Applications

Hervey, Margaret A.; Litwiller, Bonnie H. – School Science and Mathematics, 1970
Descriptors: Addition, Arithmetic, Elementary School Mathematics, Instruction

Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1983
The application of the Hamilton method for apportioning seats in the United States House of Representatives is presented based on the 1980 census. It is felt that this method is preferable to the equal proportion method currently used if for no other reason than the greater appearance of fairness. (MP)
Descriptors: Decimal Fractions, Fractions, Mathematical Applications, Mathematical Enrichment

Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1982
The game of Yahtzee is discussed in terms of the various outcomes of turns in the game and their point values and the probabilities associated with achieving specific combinations of dice values. Several tables and methods of table construction are noted, and several challenge exercises are included. (MP)
Descriptors: Algorithms, Educational Games, Equations (Mathematics), Games

Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1982
Activities that can be used for maintenance of computational skills and can lead to the discovery of a pattern verifiable by an algebraic procedure are noted. The language of algebra is used in nonroutine settings, with several challenges for further exploration. (MP)
Descriptors: Algebra, Computation, Instructional Materials, Mathematical Concepts

Duncan, David R.; Litwiller, Bonnie H. – School Science and Mathematics, 1978
Sequences resulting from variations of the conditions of the original Fibonacci problem are investigated. (MN)
Descriptors: Instructional Materials, Mathematical Applications, Mathematics Education, Pattern Recognition

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
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