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The ARML Power Contest
 
Thomas Kilkelly Wayzata High School (retired), Plymouth, MN
A co-publication of the AMS and Mathematical Sciences Research Institute
The ARML Power Contest
Softcover ISBN:  978-1-4704-1880-9
Product Code:  MCL/15
List Price: $55.00
MAA Member Price: $49.50
AMS Member Price: $44.00
eBook ISBN:  978-1-4704-1997-4
Product Code:  MCL/15.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Softcover ISBN:  978-1-4704-1880-9
eBook: ISBN:  978-1-4704-1997-4
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
The ARML Power Contest
Click above image for expanded view
The ARML Power Contest
Thomas Kilkelly Wayzata High School (retired), Plymouth, MN
A co-publication of the AMS and Mathematical Sciences Research Institute
Softcover ISBN:  978-1-4704-1880-9
Product Code:  MCL/15
List Price: $55.00
MAA Member Price: $49.50
AMS Member Price: $44.00
eBook ISBN:  978-1-4704-1997-4
Product Code:  MCL/15.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Softcover ISBN:  978-1-4704-1880-9
eBook ISBN:  978-1-4704-1997-4
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 Details
     
     
    MSRI Mathematical Circles Library
    Volume: 152014; 376 pp
    MSC: 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 self-directed 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 thirty-seven 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 forty-three 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 co-published with the Mathematical Sciences Research Institute (MSRI).

    Readership

    Undergraduates, 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
    • Twenty-five point affine geometry
    • Square-sum partitions
    • Slides, rolls, and rolides
    • Pythagorean triples
    • Cevians
    • Insane tic-tac-toe
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 152014; 376 pp
MSC: 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 self-directed 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 thirty-seven 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 forty-three 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 co-published with the Mathematical Sciences Research Institute (MSRI).

Readership

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
  • Twenty-five point affine geometry
  • Square-sum partitions
  • Slides, rolls, and rolides
  • Pythagorean triples
  • Cevians
  • Insane tic-tac-toe
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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