Describes generalized Fibonacci sequences that satisfy many elegant identities and possess curious properties. Provides physical applications and connections to various branches of mathematics. (KHR)

Describes the mathematical needs of electricians and in so doing, indicates where the trainers of electricians strike a balance between skills, understanding, and problem solving. (KHR)

Elementary combinatorial problems may be classified into three different combinatorial models: (1) selection; (2) partition; and (3) distribution. The main goal of this research was to determine the effect of the implicit combinatorial model on pupils' combinatorial reasoning before and after instruction. Gives an analysis of variance of the…

Presents ways of using fanciful stories to engage students in mathematical problem solving. (KHR)

Presents activities that focus on the mathematical opportunities that abound as part of the Olympic Games. (KHR)

Describes Kerf bending which is used to produced a curved shape out of plywood. Discusses why Radtke's kerf-cut method yields a circular arch. (KHR)

Describes an activity designed to help students connect the ideas of linear growth and exponential growth through graphs of the future value of accounts that earn simple interest and accounts that earn compound interest. Includes worksheets and solutions. (KHR)

Features activities and problems designed to appeal directly to students and be relevant to today's world. (KHR)

Presents an activity in which students predict the growth of the population of the United Stated using three different models. (Author/NB)

Provides examples of children's books and discussion prompts that can be used to facilitate mathematical discussions in teaching and learning. (Author/NB)

Describes how Thales, one of the Seven Sages of ancient times, used shadows and similar triangles to measure the heights of the pyramids. Includes activities on surveying. (YDS)

Describes a training program based on number crunching that helps runners improve their performance. Includes a student activity sheet. (YDS)

Uses advertisements to develop an understanding of very small numbers. (YDS)

Investigates a way to assist students with learning differences. Considers mathematical connections appropriate in middle grades through college mathematics centered around the words "and" and "or" within the fields of logic, set theory, algebra, number theory, and probability. Teachers and students should be encouraged to investigate mathematical…

Developed are simple recursion formulas for generating the exact distribution of the longest run of heads, both for a fair coin and for a biased coin. Discusses the applications of runs-related phenomena such as molecular biology, Markov chains, geometric variables, and random variables. (YP)