The use of continuous simulation is promoted as a teaching tool in the undergraduate curriculum. Simulation, advances in continuous simulation, an approach to teaching system dynamics, computer languages deemed suitable for continuous simulation, and an outline of a prototypic first course in continuous simulation are presented. (MP)

A programing language called DYNAMO, developed especially for writing simulation models, is promoted. Details of six, self-teaching curriculum packages recently developed for simulation-oriented instruction are provided. (MP)

Discusses some mathematical games concerning the packing of squares. (HM)

Cellular partitioning of space is discussed. Directions are given for making geometric models of cells. (DT)

Discusses the meaning of the phrase "mathematics is everywhere." Introduces the book "Reconstructing School Mathematics: Problems with Problems and the Real World", written by Stephen Brown, which emphasizes mathematical modeling and the connection between mathematics and students' lives. (KHR)

Suggests ways for using data from championship tennis as a means for exploring probabilistic models, especially binomial probability. Examples include the probability of winning a service point and the probability of winning a service game using data from tables and graphs. (AIM)

Looks at the solution to the mathematical-modeling problem asking students to find the smallest percent of the popular vote needed to elect a President. Provides assumptions from which to work the problem. (MDH)

Discusses aspects of Christopher Columbus' decision to sail west in order to reach Asia. Includes discussions concerning the shape and size of the earth as determined up to Columbus' time and conclusions he made during the journey based on his calculations. (MDH)

Observing the relationship of general relativity and the geometry of space-time, the author questions whether the rest of physics has geometrical explanations. As a partial answer he discusses current research on subatomic particles employing geometric transformations, and cites the existence of geometrical definitions of physical quantities such…

A model permitting construction of algorithms for the polynomial conjoint analysis of similarities is presented. This model, which is based on concepts used in nonmetric scaling, permits one to obtain the best approximate solution. The concepts used to construct nonmetric scaling algorithms are reviewed. Finally, examples of algorithmic models for…

This booklet, part of a series of four which provide problems in probability and statistics for the secondary school level, is aimed at aiding the student in developing models as structure for data and in learning how to change models to fit real-life problems. Twelve different problem situations arising from biology, business, English, physical…

This document is the report of a curriculum writing session. Using the recommendations and suggestions of the planning conference (SE 012 733), the writers produced detailed outlines for the grade seven through nine curriculum. The purpose and rationale of each unit are stated, and the separate sections outlined. Sample exercises are included for…

Discusses how the International System (SI) abbreviations for numerical factors designated as prefixes may be treated in quantity calculus as free-standing algebraic symbols. Illustrative examples are also presented. (HM)

A mathematical model giving weight which can be lifted as a function of bodyweight is formulated and compared with the actual data for the flyweight through the heavyweight classes. (MN)