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| Litwiller, Bonnie H. | 22 |
| Duncan, David R. | 21 |
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Peer reviewedDuncan, 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
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1972
Strategies for winning in the game of NIM are discussed and explained through applying a base 2 representation for the numbers involved. (DT)
Descriptors: Game Theory, Games, Mathematical Enrichment, Mathematics
Peer reviewedDuncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1973
Descriptors: Instruction, Mathematical Applications, Mathematical Enrichment, Mathematics Education
Peer reviewedLitwiller, 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
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1974
Descriptors: Addition, Elementary School Mathematics, Instruction, Mathematical Enrichment
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1973
A recreational activity providing practice in computation is described. Examples are provided and the underlying mathematics is analyzed. (DT)
Descriptors: Elementary School Mathematics, Instruction, Mathematical Enrichment, Mathematics Education
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1989
Illustrated is the use of isometric graph paper in the discovery of nonstandard area formulas. The use of definitions, geometric construction, record keeping, and conjectures about triangles, rhombuses, hexagons, parallelograms, isosceles trapezoids, rectangles, and trapezoids are described. (YP)
Descriptors: Area, Geometric Concepts, Geometric Constructions, Geometry
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1974
Descriptors: Congruence, Integers, Mathematical Concepts, Mathematical Enrichment
Peer reviewedLitwiller, 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
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – Arithmetic Teacher, 1974
Descriptors: Elementary School Mathematics, Games, Instruction, Learning Activities
Enrichment: A Method of Changing the Attitudes of Prospective Elementary Teachers Toward Mathematics
Litwiller, Bonnie H. – Sch Sci Math, 1970
Describes a study which indicates that when prospective elementary teachers studied enrichment problems in a college mathematics course for elementary teachers their attitudes toward mathematics became significantly more positive. (BR)
Descriptors: College Mathematics, Elementary School Teachers, Instruction, Mathematical Enrichment
Duncan, David R.; Litwiller, Bonnie H. – Teacher, 1973
Describes several activities to provide opportunity for the discovery of number patterns and shows the need for care in the descriptions of such patterns. (Author)
Descriptors: Elementary School Mathematics, Mathematical Enrichment, Mathematics, Mathematics Education
Peer reviewedDuncan, 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
Peer reviewedLitwiller, 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
Peer reviewedLitwiller, 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
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