A geoboard-related extremal problem dealing with both concave and convex polygons is discussed and a proof is given of the solution. (MP)

A method of summing finite sequences by use of formal power series techniques is described. (SD)

The author shows how a rapid computational "trick" can lead to an investigation of Fibonacci-type sequences. (SD)

Designs and arrangements of pentominoes are examined. (SD)

An algebraic development of the Fibonnaci sequence, appropriate for use in beginning algebra classes, is presented. (SD)

A square lattice is used to generate classroom activities, such as counting the number of squares in a lattice of a given size. (MP)

Number patterns obtained by squaring numbers in a sequence are discussed. A BASIC program for use with TRS-80 is given. (MP)

Ways of finding the sums of some interesting sequences of numbers are discussed. Finding the patterns creates a challenge, but the patterns are not too difficult for average pupils to discover. Mathematical induction can then be used to prove the formulas. (LS)

With the advent of computers and electronic calculators, the role of logarithms in the curriculum is changing. An intuitive approach to logarithms, stressing the notion of isomorphism, is discussed. (SD)

Described are results obtained by students investigating double-diagrams, including discoveries of properties and accompanying proofs. (MP)

Relationships between the linear dimensions, surface area, and volume of parallelepipeds are examined. (SD)

A familiar Christmas song described as a second-year algebra problem is presented in "The Twelve Days of Christmas". Five strategies for solving inequalities are discussed in "Solving Algebraic Inequalities". (JT)

This paper discusses ways of discussing limits in the secondary classroom. Particular attention is paid to showing that hypothesized answers are not limits to given sequences. (SD)