Softcover ISBN:  9781470418809 
Product Code:  MCL/15 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
eBook ISBN:  9781470419974 
Product Code:  MCL/15.E 
List Price:  $50.00 
MAA Member Price:  $45.00 
AMS Member Price:  $40.00 
Softcover ISBN:  9781470418809 
eBook: ISBN:  9781470419974 
Product Code:  MCL/15.B 
List Price:  $105.00 $80.00 
MAA Member Price:  $94.50 $72.00 
AMS Member Price:  $84.00 $64.00 
Softcover ISBN:  9781470418809 
Product Code:  MCL/15 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
eBook ISBN:  9781470419974 
Product Code:  MCL/15.E 
List Price:  $50.00 
MAA Member Price:  $45.00 
AMS Member Price:  $40.00 
Softcover ISBN:  9781470418809 
eBook ISBN:  9781470419974 
Product Code:  MCL/15.B 
List Price:  $105.00 $80.00 
MAA Member Price:  $94.50 $72.00 
AMS Member Price:  $84.00 $64.00 

Book DetailsMSRI Mathematical Circles LibraryVolume: 15; 2014; 376 ppMSC: Primary 00; 97; 51; 05; 12
The ARML (American Regions Math League) Power Contest is truly a unique competition in which a team of students is judged on its ability to discover a pattern, express the pattern in precise mathematical language, and provide a logical proof of its conjectures. Just as a team of students can be selfdirected to solve each problem set, a teacher, math team coach, or math circle leader could take these ideas and questions and lead students into problem solving and mathematical discovery.
This book contains thirtyseven interesting and engaging problem sets from the ARML Power Contests from 1994 to 2013. They are generally extensions of the high school mathematics classroom and often connect two remote areas of mathematics. Additionally, they provide meaningful problem situations for both the novice and the veteran mathlete.
Thomas Kilkelly has been a mathematics teacher for fortythree years. During that time he has been awarded several teaching honors and has coached many math teams to state and national championships. He has always been an advocate for more discovery, integration, and problem solving in the mathematics classroom.
In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Titles in this series are copublished with the Mathematical Sciences Research Institute (MSRI).
ReadershipUndergraduates, graduate students, and research mathematicians interested in high school mathematics.

Table of Contents

Cover

Title page

Copyright page

Contents

Preface

Color transformations

Induction

Rook polynomials

Rotating decimals

Regular closed linkages

Factorial polynomials

Integer geometry

Unit fractions

Chromatic polynomials

Twentyfive point affine geometry

Squaresum partitions

Slides, rolls, and rolides

Pythagorean triples

Cevians

Insane tictactoe

Three addition problems

Number theoretic functions

Errors in mathematical reasoning

Mathematical strings

Right triangular inscribings

Algebra of electrical circuitry

Triangular trigonometry

Electing a candidate

Three’s a charm!

The stretch method

Random walks in trees

Mathematical billiards

The game of Yahtzee

Basimal fractions

Slitherlinks

Drawing ellipses

Deltorials

A geometry with straight and curved lines

Number puzzles

The power(s) of Fibonacci

Brahmagupta’s cyclic quadrilaterals

Rational trigonometry

Back Cover


Additional Material

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The ARML (American Regions Math League) Power Contest is truly a unique competition in which a team of students is judged on its ability to discover a pattern, express the pattern in precise mathematical language, and provide a logical proof of its conjectures. Just as a team of students can be selfdirected to solve each problem set, a teacher, math team coach, or math circle leader could take these ideas and questions and lead students into problem solving and mathematical discovery.
This book contains thirtyseven interesting and engaging problem sets from the ARML Power Contests from 1994 to 2013. They are generally extensions of the high school mathematics classroom and often connect two remote areas of mathematics. Additionally, they provide meaningful problem situations for both the novice and the veteran mathlete.
Thomas Kilkelly has been a mathematics teacher for fortythree years. During that time he has been awarded several teaching honors and has coached many math teams to state and national championships. He has always been an advocate for more discovery, integration, and problem solving in the mathematics classroom.
In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Titles in this series are copublished with the Mathematical Sciences Research Institute (MSRI).
Undergraduates, graduate students, and research mathematicians interested in high school mathematics.

Cover

Title page

Copyright page

Contents

Preface

Color transformations

Induction

Rook polynomials

Rotating decimals

Regular closed linkages

Factorial polynomials

Integer geometry

Unit fractions

Chromatic polynomials

Twentyfive point affine geometry

Squaresum partitions

Slides, rolls, and rolides

Pythagorean triples

Cevians

Insane tictactoe

Three addition problems

Number theoretic functions

Errors in mathematical reasoning

Mathematical strings

Right triangular inscribings

Algebra of electrical circuitry

Triangular trigonometry

Electing a candidate

Three’s a charm!

The stretch method

Random walks in trees

Mathematical billiards

The game of Yahtzee

Basimal fractions

Slitherlinks

Drawing ellipses

Deltorials

A geometry with straight and curved lines

Number puzzles

The power(s) of Fibonacci

Brahmagupta’s cyclic quadrilaterals

Rational trigonometry

Back Cover