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A great source of challenging problems for high school students

  • Dec 19, 2010
Rating:
+5
If I were teaching high school mathematics, this book would be one of the prime sources for problems on my exams. While no exam would contain only problems from this book, a few of these problems on the test would be sufficiently challenging and expand the mathematical thought processes of the students.
As the title implies, there has been a high school mathematics competition in the Alberta province of Canada since 1957 and this book is the complete collection of problems used in those competitions through 2006 as well as the solutions. In what is only partially a joke, the years of coverage are split into three periods:

*) Ancient period: 1957-1966
*) Medieval period: 1967-1983
*) Modern period: 1983-2006

The level of difficulty of the problems does not change all that much, the differences are in form and the structure of the contests. Multiple-choice questions appear for the first time in 1967 and the contest was expanded into two rounds starting in 1983. Statistics depicting the response rate as well as the numbers of correct answers are also included.
In teaching mathematics, one can never have a problem pool that is too large, however, for teachers of high school and early college mathematics, this book comes very close.

Published in Journal of Recreational Mathematics, reprinted with permission.

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Charles Ashbacher ()
Charlie Ashbacher is a compulsive reader and writer about many subjects. His prime areas of expertise are in mathematics and computers where he has taught every course in the mathematics and computer … more
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Wiki

Although there were some older contests in the Maritime region and in Lower and Upper Canada, the Alberta High School Mathematics Competition was the first and oldest in Canada to be run on a provincial scale. Started in 1957, the competition recently celebrated its fiftieth anniversary. These fifty years can be broken down to three periods, Ancient (1957-1966), Medieval (1967-1983) and Modern (1984-2006), with very distinctive flavors which reflect what was taught in the schools of the day. The first two periods are primarily of historical interest. During the Modern period, the talented problem committee was led by the world renown problemist Murray Klamkin, and composed many innovative and challenging problems.

In this book you will find all the problems and answers for the first fifty years of the competition, up to 2005/2006 and full solutions are provided to those from the Modern period, often supplemented with multiple solutions or additional commentaries. Taken together, this unique collection of problems represent an interesting and valuable resource for students today preparing for these types of mathematics contests.

The Alberta High School Mathematics Competitions 1957-2006: A Canadian Problem Book is published by the Mathematical Association of America (MAA) in collaboration with the Canadian Mathematical Society (CMS). It is the second volume in The Canadian Collection.

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ISBN-10: 0883858304
ISBN-13: 978-0883858301
Author: Andy Liu
Genre: Entertainment
Publisher: Mathematical Association of America
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