An analysis of the rabbit problem reveals some of the fascinating properties of the Fibonacci numbers. (MP)

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

An approach to teaching sequences is described. The method is based on finding generating functions. (SD)

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

This position paper is an extension of a presentation delivered to the National Council of Supervisors of Mathematics and the National Council of Teachers of Mathematics at their annual meetings in San Diego, 1978. Four limits in test design are discussed: focus on low-level skills, general adherence to randomness, filling in blanks, and right…

Procedures using calculators are described for determining the recurring sequence of digits in the decimal representation of numbers of the form 1/n. (MN)

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)

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

Four categories of abuses are discussed: calculations, games and puzzles; mystical button pushing; and checking answers. Useful activities are illustrated for the categories of calculations, patterns, exploration, applications, and new content. (MP)

Using the overhead projector, or overlays on an original pattern, a variety of tessellations can be generated. Several illustrations are included. (SD)

Activities suitable for use with primary school students are described. The author offers advice concerning expectations of the students, use of the vocabulary of probability, integration of activities with other classroom work, and related topics. (SD)