A History Of Folding In Mathematics

A History Of Folding In Mathematics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of A History Of Folding In Mathematics book. This book definitely worth reading, it is an incredibly well-written.

A History of Folding in Mathematics

Michael Friedman
A History of Folding in Mathematics Book PDF

Author : Michael Friedman
Publisher : Birkhäuser
Page : 419 pages
File Size : 40,5 Mb
Release : 2018-05-25
Category : Mathematics
ISBN : 9783319724874

Get Book

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.

Origametry

Thomas C. Hull
Origametry Book PDF

Author : Thomas C. Hull
Publisher : Cambridge University Press
Page : 343 pages
File Size : 54,5 Mb
Release : 2020-10-08
Category : Art
ISBN : 9781108478724

Get Book

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.

Mathematics Through Paper Folding

Alton T. Olson
Mathematics Through Paper Folding Book PDF

Author : Alton T. Olson
Publisher : National Council of Teachers of
Page : 0 pages
File Size : 47,9 Mb
Release : 1975
Category : Education
ISBN : 0873530764

Get Book

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.

Origamics

Kazuo Haga,Josefina Fonacier,Masami Isoda
Origamics Book PDF

Author : Kazuo Haga,Josefina Fonacier,Masami Isoda
Publisher : World Scientific
Page : 153 pages
File Size : 51,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812834904

Get Book

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.

Paper Folding for the Mathematics Class

Donovan A. Johnson
Paper Folding for the Mathematics Class Book PDF

Author : Donovan A. Johnson
Publisher : Unknown
Page : 44 pages
File Size : 46,5 Mb
Release : 1957
Category : Juvenile Nonfiction
ISBN : UOM:39015015621959

Get Book

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.

Geometric Folding Algorithms

Erik D. Demaine,Joseph O'Rourke
Geometric Folding Algorithms Book PDF

Author : Erik D. Demaine,Joseph O'Rourke
Publisher : Cambridge University Press
Page : 388 pages
File Size : 54,5 Mb
Release : 2007-07-16
Category : Computers
ISBN : 9781107394094

Get Book

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.

How to Fold It

Joseph O'Rourke
How to Fold It Book PDF

Author : Joseph O'Rourke
Publisher : Cambridge University Press
Page : 192 pages
File Size : 49,8 Mb
Release : 2011-04-25
Category : Mathematics
ISBN : 0521767350

Get Book

How to Fold It by Joseph O'Rourke Pdf

What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? You can answer these questions and more through the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems by folding paper and find out how to reason toward proofs. With the help of 200 color figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's Web site, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

Origami${}^6$: I. Mathematics

Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson
Origami 6 I Mathematics Book PDF

Author : Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson
Publisher : American Mathematical Soc.
Page : 368 pages
File Size : 46,6 Mb
Release : 2015-12-18
Category : Convex and discrete geometry
ISBN : 9781470418755

Get Book

Origami${}^6$: I. Mathematics by Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson Pdf

is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 1 contains papers on various aspects of mathematics of origami: coloring, constructibility, rigid foldability, and design algorithms.

Folding Tech

Karen Latchana Kenney
Folding Tech Book PDF

Author : Karen Latchana Kenney
Publisher : Millbrook Press
Page : 109 pages
File Size : 41,5 Mb
Release : 2020-11-03
Category : Young Adult Nonfiction
ISBN : 9781728411552

Get Book

Folding Tech by Karen Latchana Kenney Pdf

Space probes, self-assembling robots, crash-absorbing cars, and designer proteins all have one thing in common: their use of folding technologies. To develop these technologies, engineers are taking inspiration from an unusual source—origami, the ancient art of paper folding. Examine origami's origins, how it intersects with mathematics, and how it became a tool to solve some of the most complicated challenges in engineering, architecture, technology, and medicine today. Plus, get a close-up look at these technologies with two augmented reality images included in the book!

Project Origami

Thomas Hull
Project Origami Book PDF

Author : Thomas Hull
Publisher : CRC Press
Page : 365 pages
File Size : 47,6 Mb
Release : 2012-12-21
Category : Mathematics
ISBN : 9781466567917

Get Book

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.

Mathematics, Education and History

Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis
Mathematics Education and History Book PDF

Author : Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis
Publisher : Springer
Page : 387 pages
File Size : 49,9 Mb
Release : 2018-03-30
Category : Education
ISBN : 9783319739243

Get Book

Mathematics, Education and History by Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis Pdf

This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

How to Fold It

Joseph O'Rourke
How to Fold It Book PDF

Author : Joseph O'Rourke
Publisher : Cambridge University Press
Page : 190 pages
File Size : 53,8 Mb
Release : 2011-04-25
Category : Mathematics
ISBN : 0521145473

Get Book

How to Fold It by Joseph O'Rourke Pdf

What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? You can answer these questions and more through the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems by folding paper and find out how to reason toward proofs. With the help of 200 color figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's Web site, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

Origami and Related Mathematics

Raymond Suo,Karthik Jetty
Origami and Related Mathematics Book PDF

Author : Raymond Suo,Karthik Jetty
Publisher : Lulu.com
Page : 76 pages
File Size : 40,5 Mb
Release : 2019-09-23
Category : Electronic
ISBN : 9780359906451

Get Book

Origami and Related Mathematics by Raymond Suo,Karthik Jetty Pdf

"Origami and Related Mathematics" is a children's workbook with real origami instructions and mathematics problems. Each origami instruction has step by step pictures and is easy to follow. Each math topic is explained carefully and included practice problems. Overall, there are thirty origami topics and thirty math topics, making this workbook perfect for each day of a month.

Mathematical Origami

David Mitchell
Mathematical Origami Book PDF

Author : David Mitchell
Publisher : Tarquin Group
Page : 0 pages
File Size : 48,9 Mb
Release : 2020
Category : Crafts & Hobbies
ISBN : 1911093169

Get Book

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.

Origami 5

Patsy Wang-Iverson,Robert J. Lang,Mark YIM
Origami 5 Book PDF

Author : Patsy Wang-Iverson,Robert J. Lang,Mark YIM
Publisher : CRC Press
Page : 662 pages
File Size : 42,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439873502

Get Book

Origami 5 by Patsy Wang-Iverson,Robert J. Lang,Mark YIM Pdf

Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields.The fifth such meeting, 5OSME (July 13-17, 2010, Singapore Management University) fol