The cohort survival model for projecting school district enrollments is presented for use in local district short-term planning. The basic model, modifications, and sample worksheets are presented. To assist in the calculations of local enrollment projections, step-by-step procedures frequently refer to the sample worksheets. Local administrators…

A classification of the simple combinatorial configurations which correspond to various cases of distribution and ordering of objects into boxes is given (in French). Concrete descriptions, structured relations, translations, and formalizations are discussed. (MNS)

A geometric model used to teach properties of rational numbers to college students is described. (MK)

A particularly difficult area for many engineering students is the approximate nature of the relation between models and physical systems. This is notably true when the models consist of differential equations. An approach applied to this problem has been to use analog computers to assist in portraying the output of a model as it is progressively…

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

Money models that can be used in a group-instruction mode and a shorthand notation that allows students to demonstrate their ability to count out change by a written procedure are described and discussed. (MK)

In certain boundary layer or natural convection work, where a similarity transformation is valid, the equations can be reduced to a set of nonlinear ordinary differential equations. They are therefore well-suited to a fast solution on an analog/hybrid computer. This paper illustrates such usage of the analog/hybrid computer by a set of…

This volume is designed for teachers preparing to teach upper elementary students using the Comprehensive School Mathematics Program (CSMP) curriculum. It begins with a discussion of the importance of graph theory in mathematics and science. A mathematical development of graph-theoretic concepts and theorems is presented, followed by a set of…

A computer program is presented which simulates the classical probability machine, using Applesoft II high-resolution graphics. Many variables are left to the user's choosing. Suggestions for using the machine, understanding the problem, the mathematical model, and further program documentation are given. (MNS)

Mathematical modeling is defined. Examples are used to show that there are models available which illustrate both the traditional use of mathematics in the physical science and its newer use in nonphysical disciplines, and which are at a suitable level for teaching in schools. (Author/MK)

The use of mathematical modelling as a systematic framework for solving word problems is presented. Applications for typical elementary algebra and calculus problems are featured. (MP)

Ways are presented to help students develop precomputational fraction concepts and skills using a circular-region or "pie" model. (MK)

Two models are presented that can be understood by students who have completed second-year algebra, as well as by calculus students. The predator-prey population model and the arms race model are included, with a computer program given for each. (MNS)

Mathematical skills and reasoning and their applications are considered as forming one of the basic and essential areas of knowledge and experience that should be available to all Australian children. This collection of essays explaining problem solving in mathematics as an organizing theme for current and future curriculum development is a means…

This publication is a study guide prepared for use in a National Science Foundation (NSF) Chautaugua-Type Short Course for College Teachers. The purpose of the guide is to provide college teachers with a variety of modeling methods that can be used with problem solving. Mathematical applications and illustrations are included, along with listings…