References to approximations of pi in the Bible and calculations of pi in the Egyptian Phind Papyrus are noted, followed by a finding of an eighteenth-century Polish rabbi about the exactness of the Biblical computation. (MNS)

Comments on bells throughout history are noted. 'Change-ringing,' focusing on the sequence in which bells are rung, is then explored. (MNS)

How probabilities change when playing the game of craps with dice having 8, 12, or 20 faces is discussed. Five challenge questions are also included. (MNS)

Teachers can partially remedy misconceptions and anxiety about mathematics by incorporating a historical perspective into mathematics teaching. Numerous examples of how this can be done are presented, along with ideas illustrating the growth and evolution of mathematical ideas. (MNS)

A method used by the ancient Babylonians to solve quadratic equations is presented. Illustrations are included from one Babylonian tablet. (MNS)

How to take an existing magic square and surround it with a magic border is described, with a number of examples. (MNS)

The historical origin of star-polygons is noted and the mathematics of them presented, with illustrations. Seven theorems are included, as well as a computer program designed to classify star-polygons. (MNS)

A nine-session mathematics conference for ninth graders is described. Guidelines for preparing such a conference are suggested. (MK)

A process for eliminating the xy term in a quadratic equation in two variables is presented. The author feels this process will be within the reach of more high school students than more commonly used methods. (MK)

An algorithm for multiplying natural numbers is described. The algorithm provides a chance for some unusual drill and might serve as an enrichment topic. (MK)

A diagrammatic approach to invariants of knots is the focus. Connections with graph theory, physics, and other topics are included, along with an explanation of how proofs of some old conjectures about alternating knots emerge from this work. (MNS)

Knot theory has been inspirational to algebraic and geometric topology. The principal problem has been to ascertain whether two links are equivalent. New methods have been discovered which are effective and simple. Considered are background information; the oriented polynomial; the Jones polynomial; the semioriented polynomial; and calculations,…

Methods for generating rational equations and some generalizations that can be used when writing classroom examples or test items are given. (MNS)

The Australian Mathematics Competition was designed around the content of common school mathematics, and thus is intended for almost all mathematics students, not just exceptional ones. The competition's conceptual and organizational basis and the three levels of competition papers are described. Sample questions are included. (MNS)

Presents a variety of mathematics activities for students to solve. Sections are included on geometrical dissection, prime numbers, trigonometry, and number concepts. (RH)