An introductory mathematics course for liberal arts students was based on mathematical models and applications. The course outline is provided, and evaluation of the course is discussed. (SD)

The probabilities of certain English football teams winning different playoffs are determined. In each case, a mathematical model is fitted to the observed data, assumptions are verified, and the calculations performed. (LS)

Problems involving the use of diagrams to depict plangers'' (in which lines cross a specified number of times) are discussed. (LS)

Describes the usefulness of applying mathematical models to growth in one, two, or three dimensions to reveal the biological consequences of changes in the dimensions of organs or organisms. (AL)

The application of Bezier polynomials in computer graphics to generate curves and surfaces is presented. The use of these curves to aid in the design of automobiles is featured, and a BASIC program designed to draw a simple caricature is included. (MP)

Presents activities designed to engage students in an experiential and theoretical application of problems in precalculus and to study geometry, coordinate systems, rates, linear applications, and the concept of function. Illustrates problem situations and includes student worksheets and a teacher's guide. (KHR)

Describes the development of mathematical thinking as children construct a mini mall. Students learn the importance of cooperation with their peers as they explore mathematical concepts such as one-to-one correspondence, classification, intersection of sets, coin identification and values, addition, subtraction, and problem solving. (Author/NB)

Describes an experiment using applications and projects to motivate students in college algebra. Provides a few illustrative examples of the applications/projects used and shares some student comments. (Author/ASK)

Develops and tests a learning environment for teaching and learning how to model and solve mathematical application problems using four classes of fifth graders. Indicates that the intervention had a positive effect on different aspects of pupils' mathematical modeling and problem solving abilities. (Contains 62 references.) (Author/ASK)

The origin of the function concept is usually traced to Galileo's work on motion. We argue that specific proto-function concepts appeared in the work of Tartaglia a century before the publication of Galileo's Two New Sciences. The study of Tartaglia's ideas can be used in the classroom as a historical introduction to various function concepts,…

In this research paper we discuss how some multiple-choice questions may be used to improve understanding, to develop and to assess modelling capabilities and as an aid to teaching.

Explores the relevance of some of the methodologies of systems engineering to problems in the social sciences, especially the dynamics of domestic and international conflict. Describes an initial exercise in modeling domestic conflict in terms of State equations. Implications for education. (Author/WM)

The relatively hard problem of transforming a given set of curves to curves with the same shape can sometimes be reduced to the easier problem of rendering curves parallel. In this paper a group is associated with the given curves, and it is shown that the reduction from the hard problem to the easy problem is valid whenever the group is…

This report explains the following mathematical techniques which may be used for relating search requests to documents contained in a library: (1) Boolean Algebraic Retrieval, (2) Linear Statistical Retrieval, (3) Statistical Association Techniques for expanding a query and/or for expanding the set of retrieval documents, (4) Vector Space…