Authors:
- Covers a level not generally found in the math olympiad literature
- Groups problems by topic, making it very useful for teachers and professionals running mathematical circles
- Provides full solutions to all contest problems, with preliminary discussions leading to their solutions, and further discussions for learning from their solutions
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
This unique book presents mathematical competition problems primarily aimed at upper elementary school students, but are challenging for students at any age. These problems are drawn from the complete papers of the legendary Leningrad Mathematical Olympiads that were presented to the city’s Grade Five students. The period covered is between 1979 – the earliest year for which relevant records could be retrieved – and 1992, when the former Soviet Union was dissolved.
The respective chapters reflect the famous four-step approach to problem solving developed by the great Hungarian mathematics educator Gyorgy Pólya. In Chapter One, the Grade Five Competition problems from the Leningrad Mathematical Olympiads from 1979 to 1992 are presented in chronological order. In Chapter Two, the 83 problems are loosely divided into 26 sets of three or four related problems, and an example is provided for each one. Chapter Three provides full solutions to all problems, while Chapter Four offers generalizations of the problems.
This book can be used by any mathematically advanced student at the upper elementary school level. Teachers and organizers of outreach activities such as mathematical circles will also find this book useful. But the primary value of the book lies in the problems themselves, which were crafted by experts; therefore, anyone interested in problem solving will find this book a welcome addition to their library.
Authors and Affiliations
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Department of Mathematics and Statistics, University of the Fraser Valley, Abbotsford, Canada
Kseniya Garaschuk
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Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
Andy Liu
About the authors
Andy Liu is an Emeritus Professor at the Department of Mathematical and Statistical Sciences, University of Alberta in Edmonton, Canada, where he obtained his Master’s degree in Number Theory in 1972, his PhD in Combinatorics in 1976, and a Professional Diploma in Elementary Education in the same year. His initial appointment was in 1980 and he retired in 2013. He was actively involved in mathematics competitions at all levels, including the International Mathematical Olympiad and the International Mathematics Tournament of the Towns. He also ran a mathematics circle for schoolchildren from 1981 to 2012, before handing it over to his successors. His informal interests include literature and history, mechanical puzzles and simulation board games.
Bibliographic Information
Book Title: Grade Five Competition from the Leningrad Mathematical Olympiad
Book Subtitle: 1979–1992
Authors: Kseniya Garaschuk, Andy Liu
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-3-030-52946-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-52945-1Published: 01 August 2020
Softcover ISBN: 978-3-030-52948-2Published: 02 August 2021
eBook ISBN: 978-3-030-52946-8Published: 31 July 2020
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: X, 168
Number of Illustrations: 100 b/w illustrations