Project Origami: Activities for Exploring Mathematics

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9781568812588: Project Origami: Activities for Exploring Mathematics
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When it comes to mathematics, paper isn't just for pen and pencil any more! Origami, the art and science of paper folding, can be used to explain concepts and solve problems in mathematics-and not just in the field of geometry. The origami activities collected here also relate to topics in calculus, abstract algebra, discrete mathematics, topology, and more.

Using origami, learn about:

  • Solving Cubic Equations
  • Bucky Balls and PHiZZ units
  • Matrix models for folds
  • Gaussian Curvature and much more!
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    About the Author:

    Thomas Hull earned his PhD in Mathematics from the University of Rhode Island in 1997. He is currently an associate professor in the Department of Mathematics at Western New England University in Springfield, MA. He has invented many popular origami models, and his Five Intersecting Tetrahedra model (which is contained in this book) was named by the British Origami Society as one of the Top Ten Origami Models of All-time.

    Review:

    For anyone who wants to enliven their class activities, this book gives wonderfully clear instructions for hands-on pager-folding activities, and specific suggestions as how to encourage students to ask questions, and to answer them, in the spirit of really ‘doing mathematics’ ... I will use it next time I teach the Polya Enumeration Theorem.
    Mathematical Reviews, February 2008

    Is it possible to use origami in the higher level mathematics classroom? An affirmative answer is given by Thomas Hull’s book Project Origami: Activities for Exploring Mathematics. Based on Hull’s extensive experience of combining origami and mathematics teaching over the last fifteen years, it aims to help the teacher bring origami into the mathematics classroom, at the high school, college, and university level.
    ―Helena Verrill, AMS Notices, May 2007

    Thomas Hull ... is one of the country’s foremost researchers in origami mathematics―a subject making the slow transition from the ghetto of recreational math, where Sudoku and Rubik’s Cube dwell, to the rarified air of legitimate research topic ... The fun part is watching the mash-up of intellectual analysis and paper creativity ... but what really drives him, he says, is understanding what’s happening underneath each figure.
    ―David Brooks, Nashuatelegraph.com, May 2007

    In his efforts to collect everything that he could find linking origami and math (and in his own research efforts), Hull has discovered not only the obvious links between origami and geometry but also intriguing intersections of origami with other fields of mathematics, such as algebra, number theory, and combinatorics.
    ―Ivars Peterson, Science News, June 2006

    Overall, this book is an excellent resource for mathematics educators who would like to include some hands-on experimentation in their teaching.
    ―Steven Frankel, MAA Reviews, July 2006

    This is probably the most comprehensive study of mathematical paperfolding produced in book form to date. ... Along with theorems and formulas, there are copious notes for instructors, making the book more a teachers’ manual than a recreational pursuit. Even so it will reward a study even by those wishing solely to produce decorative forms.
    ―John Cunliffe, ELFA and British Origami Society

    This book shows you how and explains how! ... The book is neatly presented and is designed to work as a sourcebook for teachers wishing to use origami in the classroom, but is easily accessible to anyone.
    ―Dennis Walker, British Origami Society

    Thomas Hull has written a truly wonderful book ... Project Origami is full of surprises and depth. Hull is passionate about his work and it shines through in this text ... Concrete connections to curriculum (upper high-school levels, undergraduate levels) are made clear, highlighting the relevance and importance of this material to mathematics education. Every teacher should take a hold of this book ... Hull shares the joy of doing and exploring real mathematics and provides a route that all can pursue.
    ―James Tanton

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