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    A DAY'S ADVENTURE IN MATH WONDERLAND

    by Jin Akiyama (Tokai University, Japan) & Mari-Jo P Ruiz (Ateneo de Manila University, Philippines)

    Chapter 1: Fat Triangles & Flattened Bagels (1,962k)

    Jin Akiyama is Professor of Mathematics and Director of the Research Institute of Educational Development of Tokai University in Tokyo, Japan. His mathematics lecture series have been aired on NHK Educational Television since 1991. Math Wonderland is his creation and the mathematical models there evolved from those used in his television series. His publications are in discrete geometry, graph theory and mathematics education.
     

    Mari-Jo Ruiz is Professor of Mathematics and Trustee of Ateneo de Manila University in the Philippines. She is a past president of the Southeast Asian Mathematical Society (SEAMS), an association of the mathematical societies of eight Southeast Asian countries. Her areas of interest are graph theory and operations research. She has won several national awards for teaching excellence. Both authors were members of the Organizing Committee of the UNESCO-sponsored traveling exhibition “Experiencing Mathematics”, first shown in Denmark on the occasion of ICME 10 in 2004. Both are also involved in the publication of the journal Graphs and Combinatorics, he as Editor-in-Chief and she as a member of the Editorial Board.
     

    Math Wonderland is a museum of interactive mathematical models in Hokkaido, Japan, founded by one of the authors, Jin Akiyama, in 2003. The models in Wonderland, many of which have been exhibited all over Japan and in cities around the world, are meant to help children and young adults discover and experience the wonders of mathematics.

    This book is centered around the experiences of three fictional middle-school students during a visit to Wonderland. They spend a day in Wonderland, handling the interactive models and participating in the activities offered there. At the end of the day, they leave with a genuine appreciation of mathematics gained from witnessing its beauty, applicability and inevitability.

    The book is an important contribution to the genre because it presents mathematics and models that have never before appeared in books in the same category: reversible solids, plane tiling with developments of tetrahedrons, and double-packable solids, which are derived from the authors' own research papers published in mathematics journals. It is designed to entertain, inform and even teach some mathematics. Although it is targeted at young adults, parents and teachers may learn something from the book as well.

     
    Contents:
    • Math is Fun?
    • Fat Triangles and Flattened Bagels
    • Cool Curves
    • A Roomful of Right Triangles
    • Math in Music
    • Pachinko Math
    • GCF-LCM Machine
    • Baumkuchen, Spaghetti and Watermelon
    • Automat(h)
    • A Slice of a Cone
    • Paper Twists
    • Fold and Cut
    • Jigsaws from Tetrahedrons
    • Single and Double Duty Solids
    • Reversible Solids
     
    Readership: Secondary-school students, math teachers and parents.
     
    “Although the apparent aim of the museum (and book) is to increase children's interest in mathematics, adults, including professional mathematicians, will also find the work highly entertaining. I greatly enjoyed this work. There was a decent amount of material that was new to me, some of which I'll make use of in undergraduate courses I teach … I strongly recommend this work to anyone who teaches mathematics from the level of elementary school up through undergraduate.”
    MAA Online Book Review

     
    244pp    Pub. date: Apr 2008  
    ISBN:   978-981-281-476-0(pbk)
    981-281-476-0(pbk)
       US$52 / £31

     


    244pp    Pub. date: Apr 2008  
    ISBN:   978-981-281-477-7(ebook)
    981-281-477-9(ebook)
       US$70 / £41

     


     

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    Updated on 20 November 2009