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Mathematics Through Paper Folding
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Book Synopsis Mathematics Through Paper Folding by : Alton T. Olson
Download or read book Mathematics Through Paper Folding written by Alton T. Olson and published by National Council of Teachers of. This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper folding not only simplifies the learning of mathematics it also builds an experiential base necessary for further learning. The exercises in this publication, appropriate at various grade levels, lead students to discover and demonstrate such mathematical relationships as reflections, transformations and symmetry.
Download or read book Origametry written by Thomas C. Hull and published by Cambridge University Press. This book was released on 2020-10-08 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.
Book Synopsis A History of Folding in Mathematics by : Michael Friedman
Download or read book A History of Folding in Mathematics written by Michael Friedman and published by Birkhäuser. This book was released on 2018-05-25 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.
Download or read book Origamics written by Kazuo Haga and published by World Scientific. This book was released on 2008 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing. The reader is encouraged to fill in all the proofs, for his/her own satisfaction and for the sake of mathematical completeness. Thus, this book provides a useful, alternative approach for reinforcing and applying the theorems of high school mathematics.
Book Synopsis Mathematical Origami by : David Mitchell
Download or read book Mathematical Origami written by David Mitchell and published by Tarquin Group. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Origami is the art of paper folding without the use of either scissors or glue. Each of the beautiful and fundamental mathematical shapes described in this book is achieved by folding sheets of standard A4 paper. It is remarkable what can been done and David Mitchell gives clear step by step instructions for each. He has gathered together a most impressive collection which will amaze and interest mathematics teachers and other admirers of pure geometrical forms. This new second edition extends the selection massively and has been split into two volumes - see contents.
Download or read book Project Origami written by Thomas Hull and published by CRC Press. This book was released on 2012-12-21 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page. Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses. Visit the author’s website for more information.
Download or read book Origamics written by Kazuo Haga and published by World Scientific. This book was released on 2008 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing. The reader is encouraged to fill in all the proofs, for his/her own satisfaction and for the sake of mathematical completeness. Thus, this book provides a useful, alternative approach for reinforcing and applying the theorems of high school mathematics.
Download or read book Origami^{3} written by Thomas Hull and published by CRC Press. This book was released on 2002-07-18 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains papers from the proceedings of the 3rd International Meeting of Origami Science, Math, and Education, sponsored by OrigamiUSA. They cover topics ranging from the mathematics of origami using polygon constructions and geometric projections, applications, and science of origami, and the use of origami in education.
Book Synopsis Geometric Folding Algorithms by : Erik D. Demaine
Download or read book Geometric Folding Algorithms written by Erik D. Demaine and published by Cambridge University Press. This book was released on 2007-07-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Book Synopsis Origami With Explanations: Fun With Folding And Math by : Jeanine Meyer
Download or read book Origami With Explanations: Fun With Folding And Math written by Jeanine Meyer and published by World Scientific. This book was released on 2020-11-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find out More Origami with Explanations: Fun with Folding and MathOrigami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery and activity across the world. The most familiar origami models are the crane and the flapping bird. This book will introduce you to origami, starting with a jumping frog and including traditional and modern models. Carefully written instructions, using photos and diagrams, will show you the main origami bases, turn you into a successful folder and stimulate your own creativity. Explanations will include attention to spatial relations, geometry, algebra, and pattern finding. The explanations provide insight into the origami while the folding will help your understanding of mathematics.
Book Synopsis Roses, Origami & Math by : Toshikazu Kawasaki
Download or read book Roses, Origami & Math written by Toshikazu Kawasaki and published by Japan Publications Trading. This book was released on 2005 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers step-by-step directions for origami activities to help students explore angles, area, fractions, and other math concepts.
Download or read book Origami and Math written by John Montroll and published by Courier Corporation. This book was released on 2012 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents instructions for folding thirty-nine origami models, from geometrical figures to an elephant--each made from a single sheet of paper--that emphasize the mathematical principles behind each design.
Book Synopsis Folding Techniques for Designers by : Paul Jackson
Download or read book Folding Techniques for Designers written by Paul Jackson and published by Laurence King Publishing. This book was released on 2011-05-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many designers use folding techniques in their work to make three-dimensional forms from two-dimensional sheets of fabric, cardboard, plastic, metal, and many other materials. This unique book explains the key techniques of folding, such as pleated surfaces, curved folding, and crumpling. It has applications for architects, product designers, and jewelry and fashion designers An elegant, practical handbook, Folding for Designers explains over 70 techniques explained with clear step-by-step drawings, crease pattern drawings, and specially commissioned photography. All crease pattern drawings are available to view and download from the Laurence King website.
Book Synopsis Becoming the Math Teacher You Wish You'd Had by : Tracy Johnston Zager
Download or read book Becoming the Math Teacher You Wish You'd Had written by Tracy Johnston Zager and published by Taylor & Francis. This book was released on 2023-10-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Book Synopsis Origami Tessellations by : Eric Gjerde
Download or read book Origami Tessellations written by Eric Gjerde and published by CRC Press. This book was released on 2008-12-18 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.
Book Synopsis More Origami With Explanations: Fun With Folding And Math by : Jeanine Meyer
Download or read book More Origami With Explanations: Fun With Folding And Math written by Jeanine Meyer and published by World Scientific. This book was released on 2020-11-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find out Origami with Explanations: Fun with Folding and MathOrigami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery across the world. Today people do origami, create new models, share their work, and discover mathematical principles. This book continues the approach of Origami with Explanations; but is independent, with basic instructions repeated. Carefully written instructions, using photos and diagrams, will turn you into a successful folder and stimulate your own creativity. The models in this book include action models, money folds, beautiful and useful containers, and modular origami. Mathematics topics touched on include improving estimates, tessellations, mathematical induction, flat-foldability, and fold-and-cut. The Explanations section provide insight into the origami and introduce or re-introduce you to basic and advanced subjects in mathematics.
Book Synopsis Origami Design Secrets by : Robert J. Lang
Download or read book Origami Design Secrets written by Robert J. Lang and published by CRC Press. This book was released on 2011-10-05 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: The magnum opus of one of the world’s leading origami artists, the second edition of Origami Design Secrets reveals the underlying concepts of origami and how to create original origami designs. Containing step-by-step instructions for 26 models, this book is not just an origami cookbook or list of instructions—it introduces the fundamental building blocks of origami, building up to advanced methods such as the combination of uniaxial bases, the circle/river method, and tree theory. With corrections and improved illustrations, this new expanded edition also covers uniaxial box pleating, introduces the new design technique of hex pleating, and describes methods of generalizing polygon packing to arbitrary angles. With coverage spanning the foundations of origami construction and advanced methods using both paper and pencil and custom-built free software, Origami Design Secrets helps readers cultivate the intuition and skills necessary to develop their own designs. It takes them beyond merely following a recipe to crafting a work of art.
