Instruments to aid mastery of verbal and mathematical symbols for reading mathematical language are suggested. (Editor/HS)

This column solicits mistakes, fallacies, anomalies, et cetera, that raise interesting mathematical issues and may prove useful to teachers. Included in this issue are yet another proof that zero equals one and a differentiation that yields three equals two. (Author/JJK)

Describes techniques to integrate the reading of newspapers into mathematics instruction. (RS)

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)

In higher education today, mathematics has been marginalized: except to a tiny elite, it is either taught as a tool required for the study of other sciences or it is entirely absent. Yet mathematics has been and is an essential ingredient in our understanding and mastery of the physical world, our economic life, our information technology and,…

The author shows how changing the restriction context of "Fermat's Last Theorem" alters the statement of impossibility. (MN)

Decimal expansions of fractions are considered. Theorems and corollaries for some properties and for prime and composite denominators are presented. It is suggested that students write computer programs to deliver decimal expansions. (MNS)

How to play the medieval game of Rithmomachia, the battle of rhythms, is described. It is really eight games played with one set of rules. (MNS)

A problem concerned with a ball on a billiard table is discussed. A theorem and corollaries regarding the path of the ball are formulated and proved. (MK)

Reviewed are short articles that contain new insights on topics taught in the early years of undergraduate mathematics. Included are the elementary theory of curves defined by the combination of polynomials, the differentiability of the sine function, and another proof of the irrationality of the square root of two. (Author/JJK)

The author attempts to provide in compact form information to correct problems related to "frieze groups" and "wall paper groups" and, in addition, provide useful visual references for readers of the literature on the plane symmetry groups. (MN)

Sums for divergent series that were seriously considered by eighteenth century mathematicians are shown to have reappeared as result of new interpretations for divergent series that make these previous conclusions valid. (MN)

The author presents the rationale, activities, and reactions toward a project concerned with conditioning mathematicians for the purpose of contributing meaningfully toward the solution of some of the problems of mathematics education at the pre-college level. The conditioning process includes one full academic year in the pre-college classroom.…

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)

Essay gives impressions of what mathematics is, why mathematics is a liberal art, and what goes into liberating'' a mathematics course. (Author/PG)