







This note is a response to a question sent to Quandaries and Queries by Sean Smith asking which of the many proofs of the Theorem of Pythagoras is due to Euclid.

AUTEUR(S): Harley Weston




In this article Judi and Harley illustrate the seven frieze patterns using art of the indigenous peoples of North America. They then develope some of the mathematics of frieze patterns at a level that is accessible to many students. The teacher notes contain activities with frieze patterns for students at all levels.

AUTEUR(S): Judi McDonald and Harley Weston




This article is part of the Mathematics Notes series at Washington State University. In the article, Judi and Harley start by determining the functions that map the plane back onto itself, while at the same time, mapping a specified line back onto itself and preserving the size and shape of any objects represented in the plane. These are the functions that preserve frieze patterns. The authors then look at the algebraic structure of this collection of functions under the operation of composition, show that there are only seven frieze groups, and illustrate how they are generated. Each frieze group is represented algebraically and geometrically. The article concludes with a tour of the Washington State University campus, looking at the ways in which frieze groups are exhibited and used in our immediate surroundings.

AUTEUR(S): Judith J. McDonald and J. Harley Weston




This Stewart Resource unit covers many topics some of which are basics of graphing, linear equations, characteristics of a line, arithmetic sequences and series and more. Seven subunits with lessons are presented with objectives, evaluation ideas and procedures for each.

AUTEUR(S): Gale Russell




This Stewart Resource unit describes the use of manipulatives in to study lines, line segments, angles and polygons.

AUTEUR(S): Kathleen Bracken




This article discusses some of the many ways in which math is used in agriculture. It considers specific agriculture processes, as well as a variety of math concepts.

AUTEUR(S): Natasha Glydon




This is the lead article in the seventh edition of Ideas and Resources for Teachers of Mathematics, a newsletter published by the Saskatchewan Mathematics Teachers' Society. The topic of the sixth edition of the newsletter is petterning and algebra. In this article Vi and Rick introduce the concept of pattern through some ideas from literature and through a recent 'pattern' experience.

AUTEUR(S): Mhairi (Vi) Maeers and Rick Seaman




Gregory gives a challenge problem with an elliptic pie.

AUTEUR(S): Gregory Akulov




Gregory poses a challenge problem involving the Olympic Rings.

AUTEUR(S): Gregory V. Akulov




A student wrote to Quandaries and Queries looking for tips for a research project he had to write on the Pythagorean theorem. The reply from Jack and Walter has some good ideas that some teachers may find useful.

AUTEUR(S): Jack LeSage and Walter Whiteley




In this note Gregory creates a problem inspired by the Luther Invitational Tournament (LIT), a longstanding basketball tournament at Luther College High School in Regina.

AUTEUR(S): Gregory Akulov




In this grades 7 to 9 activity students make measurements of their school and then construct a scale drawing.

AUTEUR(S): Lesley Boulanger




Help student discovery the relationship between surface area and volume through various activities. Once concept is attained, follow up with activities on where the surface area to volume ratio is found in the real world.

AUTEUR(S): Janice Cotcher




This unit was written by three students as a project in a mathematics education class, EdMath 215, at the University of Regina.

AUTEUR(S): Vivian Archambault, Danielle Desjardins and Terry Wood




Continuing his discussion of circular arc midpoint computation Oleksandr develops an expression for the midpoint of a circular arc in n dimensions.

AUTEUR(S): Oleksandr G. Akulov
