Mathematics plays an exceptionally important role in biological education and the history of biology. Ten equations and descriptions of their historical importance are presented to draw students' and faculty's attention to mathematical models that have been intrinsic to many of the significant discoveries in biology in the 20th century. Each…

Introduces conceptual physics, which does not have the computational roadblock typical to most physics courses and appeals to both science and non-science students. First published in 1990. (YDS)

This work extends the theory of the fixed charge transportation problem (FCTP), currently based mostly on a forty-year-old publication by Hirsch and Danzig. This paper presents novel properties that need to be considered by those using existing, or those developing new methods for optimizing FCTP. It also defines the problem in an easier way,…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories include place value, number lines, basic facts and computation, computation and calculator practice, puzzles for tricky thinkers, and geometry. Ten classroom games and activities are found in the place value and number line sections, 27…

An inconsistency between American and British accounting methods led the author to this problem whose solution involves linear equations and geometric series. (SD)

Arguing that operations research is not as difficult and forbidding as its reputation implies, and that many problems lend themselves to analysis using common sense, the author provides examples which might be used in a secondary school classroom. (SD)

The teaching of non-numerical flow charting to all pupils is advocated as a means of preparing students for decision making. Several sample problems are provided. (SD)

Computer programing and problem-solving steps in mathematics are viewed to have related concepts. Some heuristics are compared with some suggestions for structured programing. The one fundamental difference between problem solving in general and when using the computer is seen as the computer solution must be finite. The computer is viewed as a…

As part of the Mathematical Problem Solving Project, MPSP, the goals and purposes of miniprojects are explored. Various conjectures are presented which are based partially upon observation of children working on projects and partially upon the opinions of mathematicians who have observed how problem-solving processes are used in real-world…

Tables of life expectancy can provide data for use in a great variety of problems related to probability theory. (SD)

The game of roulette is analyzed. (SD)

The idea of "complete permutations" of n distinct objects is explored in order to investigate an application of the concept that arises in Rex Stout's mystery novel, Too Many Cooks. (MN)

Presents part seven of a continuing presentation of exponential functions. Provided is an extension of the part six discussion, exponential population growth, to world population growth. (SL)

Presents an operator which transforms quantum functions to solve problems of the stationary state wave functions for a particle and the motion and spreading of a Gaussian wave packet in uniform gravitational fields. (SL)

Presents a completely arithmetic development of Newtonian dynamics in which all classical conservation laws are valid and all equations are in forms amenable to high-speed digital computer computation. (SL)