
The ARML Power Contest
Thomas Kilkelly(Author)
American Mathematical Society (Publisher)
Will be published approx. on 30. January 2015
Book
Paperback/Softback
376 pages
978-1-4704-1880-9 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Dimensions
Height: 254 mm
Width: 178 mm
Weight
685 gr
ISBN-13
978-1-4704-1880-9 (9781470418809)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Thomas Kilkelly, Wayzata High School (retired), Plymouth, MN, USA.
Content
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
Number theoretic functions
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
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
Number theoretic functions
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