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Author : Alton T. Olson Publisher : National Council of Teachers of Page : 0 pages File Size : 45,6 Mb Release : 1975 Category : Education ISBN : 0873530764
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.
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.
Cut and Fold Techniques for Pop-Up Designs by Paul Jackson Pdf
Introducing techniques for making pop-ups from one sheet of card, the third title in this series on paper engineering takes folding techniques into the third dimension. Each chapter introduces a new technical idea and shows how that technique can be adapted in many different ways, or combined with techniques from earlier chapters. These 3-D techniques can be incorporated into any design where typography and/or illustration are used, including mail-shots, personal publicity, invitations, business cards and greetings cards. With their emphasis on surface design over complex cutting, the pop-ups have an instant appeal for designers. Following the elegant, easy-to-follow style of Paul Jackson’s other titles for Laurence King, Cut and Fold Techniques for Pop-Up Designs is an essential resource for marketing professionals and design students.
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.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
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.
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.
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.
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.
Presents step-by-step instructions to make paper models of geometric shapes including a cube, tetrahedron, rombic star and dodecahedron. Suggested level: senior secondary.
Unfolding Mathematics with Unit Origami by Betsy Franco Pdf
Unfolding Mathematics With Unit Origami At last-an origami book designed specifically for mathematics classrooms! Origami books are typically written by origami experts and aimed at origami enthusiasts. This art form lends itself wonderfully to teaching mathematicsbut it's been up to you to find ways to do it. Now comes Unfolding Mathematics with Unit Origami, designed especially for algebra and geometry students in high school or middle school. Its elegant illustrations and detailed folding and assembly instructions enable you and your students to create beautiful and intriguing three-dimensional origami models. Its 16 absorbing activitiesall in blackline master formhave been carefully prepared in order of increasing difficulty of both folds and mathematical concepts. Through origami folding sequences, basic mathematical ideas reveal themselves: algebraic and angle relationships and different types of symmetry in two and three dimensions will engage your students'interest in new ways. You can choose activities from anywhere in the book, but if you move from front to back you'll cover an amazingly broad range of mathematical topics. And while the book's purpose is to teach mathematics, it also introduces students to the art of origami and contributions made to that art by noted origami experts, such as Tomoko Fus, Kunihiko Kasahara, David Masunaga, and Robert Neale. Most activities can be done in one class period and offer opportunities for group work, journal writing, and projects. Autobiographical vignettes by origami artists introduce students to origami culture and prompt students to discuss their own experiences with origami. The overview explains how you can best use this book in your classroom, including methods for assessing student work. Every activity gives you teaching ideas and strategies, as well as suggestions for extensions of the activity. There's also a glossary of terms and a list of recommended readings.
The Second $textit {Scientific}$ $textit {American}$ Book of Mathematical Puzzles and Diversions by Martin Gardner Pdf
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume, originally published in 1961, contains columns published in the magazine from 1958-1960. This is the 1987 edition of the collection and contains an afterword written by Gardner at that time.
Cool Paper Folding: Creative Activities that Make Math & Science Fun for Kids! by Anders Hanson/Elissa Mann Pdf
Discover secret math and science tricks to creating art! This title introduces young readers to the sciences, with a creative twist. Math and science educational pages are interspersed with cool paper folding activities that offer practical applications of the information students learn in class. All activities include how-to photos, easy instructions, and clear explanations. Reinforce Common Core Standards in reading, math, and science, while making cool art projects, from making a ninja star to folding a complex shape. Aligned to Common Core Standards and correlated to state standards. Checkerboard Library is an imprint of ABDO Publishing Company.