Three topics related to teaching mathematics are discussed: a problem with the order of operations, teaching fractions, and an application of the distributive property. (MP)

Suggestions are given for using the calculator in junior high classrooms. Square roots, factoring, and percentages are some topics discussed. A worksheet is included. (MP)

The evolution of complex numbers is described, followed by discussion of some lessons that can be learned from this story, as with other stories from the history of mathematics. Suggestions for teachers about incorporating history into mathematics instruction are included. (MNS)

Provided are some ideas on teaching elementary numerical methods to sixth-form students. Comments are included on the syllabus recently introduced at Advanced Level in Hong Kong. (MNS)

The relation between the area of a rectangle and its perimeter is clarified by looking at patterns. Several examples involving rectangles with integral sides are presented. (MNS)

Teaching suggestions for graphing the function y=sin 1/x and the greatest integer function are given. (MK)

An example is presented that can be used to introduce the study of limits of sequences through recursive formulas yielding square roots. (MP)

A proof is given of the irrationality of the square root of 2 which depends on notions of terminating and repeating decimals. (MP)

Topics discussed include: maximizing the volume of a box, finding different size squares on a geoboard, the angles formed by the hands of a clock, and questions related to three consecutive integers. (MP)

Sometimes the immediate use of an algebraic approach to solve a problem can obscure what is actually happening. The solution to one problem is described both algebraically and through a numerical approach. (MNS)

Tree diagrams with numbers in a given pattern generate questions related to pattern recognition and number concepts such as binary numbers and exponentials. (MP)

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

An activity is described which can be used to introduce students to the general divisibility test for nine. (JP)

An activity is presented that involves an unusual multiplicative operation on natural numbers. Described are interesting properties that students may discover when using the new operation. (JP)

Topics covered include alternate methods for finding LCM and GCF, imaginative word problems, and a primes-breakdown method of factoring quadratics. (MP)