Suitable for trainers and participants at various levels, including IMO, Tournament of the Towns, and noncalculus parts of the Putnam Competition, this title offers a collection of problems from major national and international mathematical competitions for high school students.
This book is written for trainers and participants of mathematical contests of all kinds up to the highest level of international competitions, including the IMO and the Putnam Competition. It is also written for high school teachers who are conducting a mathematics club and are looking for ideas and problems for their club; for teachers who want to pose "the problem of the week", "the problem of the month", "the research problem of the year"; and for regular high school teachers who are just looking for ideas to enrich their teaching by some interesting nonroutine problems.
PROBLEM SOLVING STRATEGIES is a unique collection of competition problems
from over twenty major national and international mathematical competitions
for high school students. The discussion of problem solving strategies
is extensive. It is written for trainers and participants of contests of
all levels up to the highest level: IMO, Tournament of the Towns, and the
noncalculus parts of the Putnam Competition. It will appeal to high school
teachers conducting a mathematics club who need a range of simple to complex
problems and to those instructors wishing to pose a "problem of the week",
"problem of the month", and "research problem of the year" to their students,
thus bringing a creative atmosphere into their classrooms with continuous
discussions of mathematical problems. This volume is a must-have for instructors
wishing to enrich their teaching with some interesting non -routine problems
and for individuals who are just interested in solving difficult and challenging
problems. Each chapter starts with typical examples illustrating the central
concepts and is followed by a number of carefully selected problems and
their solutions. Most of the solutions are complete, but some merely point
to the road leading to the final solution. Very few problems have no solutions.
Readers interested in increasing the effectiveness of the book can do so
by working on the examples in addition to the problems thereby increasing
the number of problems to over 1300. In addition to being a valuable resource
of mathematical problems and solution strategies, this volume is the most
complete training book on the market.
