Mathematics Through Paper Folding

Author : Alton T. Olson
Publisher : National Council of Teachers of
Page : 0 pages
File Size : 54,9 Mb
Release : 1975
Category : Education
ISBN : 0873530764

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Mathematics Through Paper Folding by Alton T. Olson Pdf

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.

Author : Michael Friedman
Publisher : Birkhäuser
Page : 419 pages
File Size : 54,6 Mb
Release : 2018-05-25
Category : Mathematics
ISBN : 9783319724874

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A History of Folding in Mathematics by Michael Friedman Pdf

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.

Author : Thomas C. Hull
Publisher : Cambridge University Press
Page : 343 pages
File Size : 47,8 Mb
Release : 2020-10-08
Category : Art
ISBN : 9781108478724

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Origametry by Thomas C. Hull Pdf

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.

Author : Kazuo Haga,Josefina Fonacier,Masami Isoda
Publisher : World Scientific
Page : 153 pages
File Size : 41,9 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812834898

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Origamics by Kazuo Haga,Josefina Fonacier,Masami Isoda Pdf

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.

Author : David Mitchell
Publisher : Tarquin Group
Page : 0 pages
File Size : 51,8 Mb
Release : 2020
Category : Crafts & Hobbies
ISBN : 1911093169

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Mathematical Origami by David Mitchell Pdf

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.

Author : Thomas Hull
Publisher : CRC Press
Page : 365 pages
File Size : 52,8 Mb
Release : 2012-12-21
Category : Mathematics
ISBN : 9781466567917

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Project Origami by Thomas Hull Pdf

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.

Author : Thomas Hull
Publisher : CRC Press
Page : 363 pages
File Size : 53,5 Mb
Release : 2002-07-18
Category : Mathematics
ISBN : 9781439870044

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Origami^{3} by Thomas Hull Pdf

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.

Author : Jeanine Meyer,Takashi Mukoda
Publisher : World Scientific
Page : 276 pages
File Size : 51,6 Mb
Release : 2020-11-17
Category : Crafts & Hobbies
ISBN : 9789811219481

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More Origami With Explanations: Fun With Folding And Math by Jeanine Meyer,Takashi Mukoda Pdf

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.

Author : Donovan A. Johnson
Publisher : Unknown
Page : 44 pages
File Size : 54,5 Mb
Release : 1957
Category : Juvenile Nonfiction
ISBN : UOM:39015015621959

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Paper Folding for the Mathematics Class by Donovan A. Johnson Pdf

Problems involving paper folding for students to discover relationships between straight lines and angles.

Author : Erik D. Demaine,Joseph O'Rourke
Publisher : Cambridge University Press
Page : 388 pages
File Size : 42,7 Mb
Release : 2007-07-16
Category : Computers
ISBN : 9781107394094

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Geometric Folding Algorithms by Erik D. Demaine,Joseph O'Rourke Pdf

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.

Author : Jeanine Meyer,Takashi Mukoda
Publisher : World Scientific
Page : 250 pages
File Size : 42,9 Mb
Release : 2020-11-17
Category : Crafts & Hobbies
ISBN : 9789811219450

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Origami With Explanations: Fun With Folding And Math by Jeanine Meyer,Takashi Mukoda Pdf

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.

Author : David Mitchell
Publisher : Tarquin Group
Page : 44 pages
File Size : 47,7 Mb
Release : 1997
Category : Crafts & Hobbies
ISBN : 189961818X

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Mathematical Origami by David Mitchell Pdf

Presents step-by-step instructions to make paper models of geometric shapes including a cube, tetrahedron, rombic star and dodecahedron. Suggested level: senior secondary.

Author : T. Sundara Row
Publisher : Unknown
Page : 148 pages
File Size : 40,5 Mb
Release : 1966
Category : Geometry
ISBN : OCLC:223343909

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Geometric Exercises in Paper Folding by T. Sundara Row Pdf

Author : Paul Jackson
Publisher : Laurence King Publishing
Page : 224 pages
File Size : 45,9 Mb
Release : 2011-05-02
Category : Design
ISBN : 9781780675183

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Folding Techniques for Designers by Paul Jackson Pdf

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.

Author : John Montroll
Publisher : Courier Corporation
Page : 123 pages
File Size : 47,7 Mb
Release : 2012
Category : Crafts & Hobbies
ISBN : 9780486488868

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Origami and Math by John Montroll Pdf

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.