Presents questions and answers to the 1985 British Physics Olympiad (BPhO) Competition. Comments about the competition (the second year of British participation) and the winners who went to Yugoslavia (and placed second behind the USSR) are included. (JN)

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

In April of 1984 the Aroostook (Maine) Computer Educators, in conjunction with the University of Maine at Presque Isle, conducted a computer programming contest for county students in grades 4-12. This document describes the structure of that contest, including grade level groupings (4-6, 7-9, and 10-12); rules for team membership; the schedule…

This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

Applications of physics concepts related to the activities of dinosaurs are presented. Problems of mass, speed and motion, and sound are discussed. Solutions to the problems are shown. (CW)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

Outlines various misconceptions about problem-solving (PS) and several strategies to improve intellectual skills and strategies. Also describes the Covington Productive Thinking Program (designed to help develop PS skills) and several lesson problem sets from this series of 15 books. (JN)

Explored are various aspects of drawing graphs on surfaces. The Euler's formula, Kuratowski's theorem and the drawing of graphs in the plane with as few crossings as possible are discussed. Some applications including embedding of graphs and coloring of maps are included. (YP)

Discusses how to express an n factorial as a product of powers of primes. Provides two examples and answers. Presents four related suggestions. (YP)

Provides several problems and their solutions for a descriptive statistics course. Included are problems related to measurement, data collection, sample construction, applications, and computation. Discusses the misleading nature of statistics. (YP)

Discusses geometric construction problems. Presents four ways to construct a regular octagon using different conditions. Provides drawings showing the constructions. (YP)

Discussed is the benefit of the inclusion of historical material in a student's text. Several geometry problems are used as examples. A suggested list of problem sources is provided in the appendix. (YP)

Describes the use of calculators for the teaching of mathematics in grade 1. (YP)

Illustrates some learning encounters for facilitating first graders' understanding of geometry. Describes some of children's approaches using Cuisenaire rods and teacher's intervening. Presents six problems involving various combinations of Cuisenaire rods and cubes. (YP)

In most mathematics problem solving work, students' motivation comes from trying to please their teachers or to earn a good grade. The questions students must tackle are almost never generated by their own interest. Seven open-ended college algebra-level problems are presented in which the solution of one question suggests other related questions.…