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…

We introduce playing games on the shadows of knots and demonstrate two novel games, namely, "To Knot or Not to Knot" and "Much Ado about Knotting." We discuss winning strategies for these games on certain families of knot shadows and go on to suggest variations of these games for further study.

Conventional application of these two calculus staples is stretched here, somewhat recreationally, but also to raise solid questions about the role of limit interchange in analysis--without, however, delving any deeper than first-year Calculus.

The calculator is used to determine the formula for computing annual yield from a savings account. (MP)

The author derives a method for direct computation of interest and loan payments. (SD)

Presented are solutions to variations of a combinatorics problem from a recent International Mathematics Olympiad. In particular, the matrix algebra solution illustrates an interaction among the undergraduate areas of geometry, combinatorics, linear algebra, and group theory. (JJK)

Nine examples of this principle show what a powerful tool it is. Several map coloring theorems are proven and some exercises are listed. (MP)

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

A course in exterior ballistics is outlined and described as an option in applied mathematics. (JLH)

An example is given of an application of calculus to biology in which a straightforward mechanical approach leads to a difficult situation, but the theory of beginning calculus leads quickly to a solution. (Author/DT)

A method of using vector analysis is presented that is an application of calculus that helps to find the best angle for tacking a boat into the wind. While the discussion is theoretical, it is seen as a good illustration of mathematical investigation of a given situation. (MP)

Philosophies of mathematics, applications of mathematics to social or humanistic areas, where knowledge is lodged, mathematical education at a higher metalevel, and the interpretive component of mathematical education are discussed. (MNS)

After a brief discussion of the history of mathematical astronomy, the author introduces problems concerning aspects and distances of the planets. The problems presented can be solved without use of trigonometry. (SD)

The characteristics and the role of a statistics laboratory in teaching statistics is discussed. Particular attention is given to the training of students in various academic areas who will need to use statistics in their work. (JP)

The calculator is used to solve certain formidable equations, which arise naturally and which may be difficult or impossible to solve by standard methods, by a method of successive approximations. (MP)