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Your search keyword '"Duncan, David A."' showing total 27 results
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27 results on '"Duncan, David A."'

1. A Question of Coincidences.

Author

Duncan, David R. and Litwiller, Bonnie H.

Abstract

Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)

Published
1985

2. Poker Probabilities: A New Setting

Author

Litwiller, Bonnie and Duncan, David R.

Abstract

The probabilities of six-card poker hands are derived and compared to those of the five-card poker hands. (JT)

Published
1977

3. Exponential Growth and Population Prediction.

Author

Litwiller, Bonnie H. and Duncan, David R.

Abstract

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)

Published
1978

4. Area Formulas on Isometric Dot Paper.

Author

Litwiller, Bonnie H. and Duncan, David R.

Abstract

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)

Published
1989

5. The Probability of Winning Dice Games.

Author

Litwiller, Bonnie H and Duncan, David R.

Abstract

A discussion is given on the probability of winning at the game of craps. Variations are discussed in terms of probabilities. (MP)

Published
1979

6. Phantom Points.

Author

Duncan, David R. and Litwiller, Bonnie H.

Abstract

The simultaneous solution of equations in polar form does not always yield the points of intersection of their graphs. An explanation is given. (MP)

Published
1979

8. Checkerboards and Sugar Cubes: Geometric Counting Patterns

Author

Duncan, David R. and Litwiller, Bonnie H.

Abstract

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)

Published
1973

9. NIM: An Application of Base Two

Author

Litwiller, Bonnie H. and Duncan, David R.

Abstract

Strategies for winning in the game of NIM are discussed and explained through applying a base 2 representation for the numbers involved. (DT)

Published
1972

10. Patterns: Digits, Squares, and Bases

Author

Duncan, David R. and Litwiller, Bonnie H.

Abstract

Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)

Published
1976

11. Surprising Patterns

Author

Duncan, David R. and Litwiller, Bonnie H.

Abstract

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)

Published
1973

14. Combinatorics connections: playoff series and Pascal's triangle

Author

Litwiller, Bonnie H. and Duncan, David R.

Subjects
Pascal's triangle -- Usage, Professional sports -- Usage, Teaching -- Methods, Education, Mathematics
Abstract

Discrete mathematics concepts are used to describe the possible connection between sports and Pascal's triangle. The playoff series of professional sports are a good source of exercise problems such as the computation of the number of ways one team can win in the series. Solutions to the problem involve studying single-, three-, five-, seven- and nine-game series using the triangle. Other real-life situations can also be studied.

Published
1992

20. Rhombus radio activities

Author

Litwiller, Bonnie H. and Duncan, David R.

Subjects
Mathematics -- Study and teaching, Geometrical drawing -- Usage, Education, Mathematics
Published
1991

23. Analyzing Dollar Cost Averaging.

Author

Duncan, David R. and Litwiller, Bonnie H.

Subjects
PORTFOLIO management (Investments), DOLLAR cost averaging, STOCK prices, RISK exposure, PRICES of securities, CAPITAL appreciation, MATHEMATICS, STOCK price indexes, MATHEMATICS teachers, STUDENTS
Abstract

The article presents an analysis of dollar cost averaging. It mentions that teachers of mathematics are always searching for situations in which students can apply mathematical processes in meaningful real-life settings. An example on how dollar cost averaging can be used in the purchase of stocks is presented. It states that generally buyers of stocks purchase stocks when these shares are at their lowest price and they let the value appreciate. Moreover, the ability to predict the best time to purchase such shares can result in more gains.

Published
2008

25. Volumes, Areas and Lenghts Interrelated Through Derivatives.

Author

Litwiller, Bonnie H. and Duncan, David R.

Subjects
MATHEMATICAL formulas, MATHEMATICS, VOLUME (Cubic content), SOLID geometry, SPHERES, CIRCLE, CUBES
Abstract

The article explains how volumes, areas and lengths are interrelated through derivatives. Through derivatives the surface areas of the sphere, circle and the cube are obtained using the volume formulas.

Published
2005

26. Measuring Money by the Pound.

Author

Litwiller, Bonnie H. and Duncan, David R.

Subjects
MEASUREMENT, MONEY, TEACHERS, EDUCATION, STUDENTS, MATHEMATICS
Abstract

This article presents an activity for students and teachers to measure money by the pound. Teachers are always on the lookout for situations in which students can operate with weights and measures in meaningful but novel settings.

Published
2005

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