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Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1974
The authors answer conclusively the question of how certain regular polygons can be "fitted together" around a point in the plane. Proofs lead to the establishment of seventeen cases. (JP)
Descriptors: Geometric Concepts, Mathematical Enrichment, Mathematics Education, Problem Solving
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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
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Litwiller, Bonnie H.; Duncan, David R. – Arithmetic Teacher, 1974
Descriptors: Elementary School Mathematics, Games, Instruction, Learning Activities
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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
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Duncan, David R.; Litwiller, Bonnie H. – Two-Year College Mathematics Journal, 1973
The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Enrichment, Mathematics
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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
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Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1991
Presented are two examples of real-life examples that can be used to promote or exemplify concepts of probability and statistics. Details of the calculation of these probabilities are given. (CW)
Descriptors: Computation, Creative Thinking, Learning Activities, Mathematics Education
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Litwiller, Bonnie H.; Duncan, David R. – Mathematics in School, 1997
Describes an activity that utilizes four pattern blocks to help students understand and explain perimeter. Engages students in making and supporting conjectures about a scenario that involves trains composed of various shapes with different perimeters. (DDR)
Descriptors: Educational Strategies, Enrichment Activities, Geometry, Learning Activities
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Litweller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1992
The on-off settings of a series of eight switches determines the code to open garage doors. Presented are two problems asking the probability that two people would have the same garage door opener code or whether a specific person would have the same code as another person in the neighborhood. (MDH)
Descriptors: Enrichment Activities, Experiential Learning, Learning Activities, Mathematical Applications
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Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1992
Applies Pascal's Triangle to determine the number of ways in which a given team can win a playoff series of differing lengths. Presents the solutions for one-, three-, five-, seven-, and nine-game series, and extends the solution to the general case for any series. (MDH)
Descriptors: Athletics, Competition, Enrichment Activities, Learning Activities
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Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1991
Presented is a calculation for the probability of a athletic event. Assumptions, computations, and questions to be considered in the solution of this problem are discussed. (CW)
Descriptors: College Mathematics, Computation, Golf, Higher Education
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Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1992
Presents an example with multiple solutions that illustrates connections between mathematics and the real world. Considers five possible methods by which the voting for a convention delegate might be performed. (MDH)
Descriptors: Elections, Enrichment Activities, Integrated Activities, Learning Activities
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Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1981
Three questions dealing with hypothesis testing are presented. Activities that can be best worked with calculators as tools are detailed and suggestions for extensions of these problems are given. (MP)
Descriptors: Hypothesis Testing, Instructional Materials, Mathematical Applications, Mathematical Enrichment
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Litwiller, Bonnie H.; Duncan, David R. – Mathematics in School, 1991
Presented is an activity in which students apply familiar concepts of geometry to novel settings. Using square dot paper and isometric dot paper, students trace routes and determine the geometry of each circle. (KR)
Descriptors: Geometric Concepts, Geometry, Instructional Materials, Learning Activities
Peer reviewed Peer reviewed
Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1992
Presents four cases of real-world probabilistic situations to promote more effective teaching of probability. Calculates the probability of obtaining six of six different prizes successively in six, seven, eight, and nine boxes of cereal, generalizes the problem to n boxes of cereal, and offers suggestions to extend the problem. (MDH)
Descriptors: Enrichment Activities, Learning Activities, Mathematical Applications, Mathematical Enrichment
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