This article is based on data from two major research projects that investigated students involved in mathematically demanding courses during their transition through college and into university. It explores the nature of modelling as a mathematical practice in this important transition phase for students. Theoretical considerations are informed…

A concept of major importance in human electrophysiology studies is the process by which activation of an excitable cell results in a rapid rise and fall of the electrical membrane potential, the so-called action potential. Hodgkin and Huxley proposed a model to explain the ionic mechanisms underlying the formation of action potentials. However,…

In this article, we examine the use of a new binary integer programming (BIP) model to detect arbitrage opportunities in currency exchanges. This model showcases an excellent application of mathematics to the real world. The concepts involved are easily accessible to undergraduate students with basic knowledge in Operations Research. Through this…

The meaning of an "application" of mathematics is examined and sample real-world mathematical problems are given. (DT)

Discusses an introductory chemical engineering course in which mathematical models are used to analyze experimental data. Concepts illustrated include dimensional analysis, scaleup, heat transfer, and energy conservation. (MLH)

Elementary differential calculus is used to analyze and to discuss some complex economic situations. (JT)

The author uses mathematical models that involve only algebra and a few basic ideas in discrete probability to describe the frequency of conception in large human societies. A number of calculations which can be done by students as exercises are given. (MN)

Mathematical observations are made about some continuous curves, called transitions, encountered in well-known experiences. The transition parabola, the transition spiral, and the sidestep maneuver are presented. (MNS)

A course in mathematical model-building is described. Suggested modeling projects include: urban problems, biology and ecology, economics, psychology, games and gaming, cosmology, medicine, history, computer science, energy, and music. (MK)

Mathematical models and their construction are discussed. Successful mathematical model building is suggested as requiring a combination of deductive thinking and an understanding of the external world. (MP)

Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)

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)

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)

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,…