81. Programs paper there has been paper folding, beginning with Students will learn about paper,its production and origami models, representing different cultures and times http://www.origamido.com/Services/Classes_at_the_Origamido_Studi/Programs/body_p

Author and sculptor, Michael LaFosse is one of the most seasoned and respected presenters of the paper arts.  With over twenty years of experience in teaching origami, papermaking, and paper sculpting to individuals and groups, he can tailor instructional and/or entertaining programs to people of all ages and abilities, from beginner to master level. Click here for rates  Kindergarten through Graduate School We use origami in the classroom to augment various curricula, from "K through G"! We enjoy working with teachers and students to prepare tailored presentations that stimulate discussion and learning. Origami's hands-on approach really gets students attention. The lessons are always enjoyable and memorable. Follow-up exercises and extra credit challenges can be suggested to extend the benefits beyond the initial program. There are hundreds of subjects to consider: Japan, 1000 cranes, mythology, language, mathematics, geometry, algebra, biology, zoology and many cultural subjects, to name a few. Other areas to consider are: World cultures, music, international geography, geology, organic chemistry, statistical analysis, critical thinking, packaging design, aeronautics, abstract art, architecture, materials evaluation, communication, public speaking and teamwork management.

82. Origami must be achieved exclusively by folding paper (no glue websites S. F. Exploratorium'sOnline Magazine Exploring paper ; as a Learning Tool origami is not http://studyguide.sundance.org/origami/origami.html

frog fox wing. Old and young together make instructions on folding a paper crane from The Sadako Film Project Origami, the art of paper folding, is traditionally associated with Japanese culture. It originated, however, in first century A.D. China with the invention of paper. The Chinese made such practical objects as vases, bowls, and boxes from folded paper. Almost 500 years after paper was invented, Buddhist monks brought the secret to Japan.The Japanese quickly integrated paper into everyday life, first using it in architecture and in the many rituals of everyday Japanese life and of the Shinto religion. In fact, the word for paper, kami, is a homonym for the word for "spirit" or "god." Passed from generation to generation by oral tradition between mothers and daughters, designs remained simple until about 1797 when the first written instructions for paper folding designs were published. As designs changed to become more playful and complex, the name was coined from the words oru (to fold) and kami (paper). No matter how intricate the final design, origami adheres to its original concept that the product must be achieved exclusively by folding paper (no glue, tape, staples, scissors, or other auxiliary aids). Origami paper, which is thin, strong, and holds a crease well, comes in a variety of colors, sizes, and texture and is available in most art and stationary stores.

83. Fun With Mart (Math And Art) is a fun way to teach geometry with a forum.swarthmore.edu/~sarah/shapiro/ OrigamiMathematics Page of illustrations and plenty of instructs for paper folding. http://eisen.kcmetro.cc.mo.us/99/debbiet.htm

Debbie Tune Summersville Elementary Math and paper folding for middle school Origami Links This is a great collection of about 20 sites for origami designs with pictures. Most of them include wonderful directions. Url http://www.paperfolding.com/ Paper Folding A great site for beginners in the art of origami. It had directions for the basic folds. Gives examples for using origami to teach conic sections, isoometries, fractions, tessellation's and tangrams. There is a really cool golf game and overhead masters are included. Url: http://www.lwcd.com/paper-folding/index.html Aunt Annie's Crafts(tm) This site is packed full of directions to make boxes of all kinds and paper bags. Url: http://www.auntannie.com/ Geometry Forum - Shapiro, Geometry Through Art The students will love creating geometric designs by using Geometers Sketchpad. Geometry through Art is a fun way to teach geometry with a circle. Url: http://forum.swarthmore.edu/~sarah/shapiro/ Origami Mathematics Page A great web site for those who like lots of illustrations and plenty of instructs for paper folding. Url: http://web.merrimack.edu/~thull/OrigamiMath.html

84. Origami 4 You By Emmajg The art of paperfolding was named origami in Japan The paper Museum in Kochi-ken,Japan, has loads of Benefits of origami origami can used for many things not http://www.origami4you.co.uk/info.html

Origami Information Origami is the art of paper folding Paper and the paper-folding tradition was introduced to Japan around 200 A.D. from China. The art of paper-folding was named Origami in Japan. Origami means "oru" to fold and "kami" paper, it used to be known as Orikata. After doing some quick researchon the net about Origami, I found that there are already loads of website with all the information on the history of Origami. So instead of writing it all again, I though it would easier just to show you the links to these excellent websites.... Joseph Wu's Site has a brief history of Origami. Eric Anderson's site has a lovely and extensive history of Origami. Koshiro's site covers what is origami, the history and tips. Origami Books The first known printed Origami Book was the Senbazuru Orikata (How to Fold One Thousand Cranes), was not published until 1797. All the pages of this book are online , thanks to Origami Tanteidan Origami Paper The history of Washi paper can be found at Kim's Crane site. A lovely site on Washi called Living with Washi , has loads of information on the discovery of paper, it's applications, and much more.

85. Geometry Pathfinder A guide on how to create 3D geometric shapes with the art of origami. Curr/El MathY68 Gr.1tx 1972 rig, Right AnglesPaper-folding geometry Can be used for a http://www.byuh.edu/library/curriculum/geometry path.HTM

Geometry is all around us Geometry is the basis for the construction of the world around us. Geometric concepts are illustrated in the design of seeds in an apple core, patterns in tile and furniture, buildings, flowers, and much, much more. Puzzles, games, designs and 3-D art will help students to visualize important concepts and will make math lessons fun. Reference Books Curr/Ref Math Dot Paper Geometry A book of dotted worksheets for activities with or without a Geoboard. Curr/Ref Math Visual Patterns in Pascal’s Triangle Blackline masters and bulletin board ideas for using geometric designs in the classroom. Curr/Ref Art Multidimensional Transformations: Unit Origami A guide on how to create 3-D geometric shapes with the art of origami. Curr/Ref Math Tangramath A book of tangram puzzles, complete with a reproducible set of the 7 tangram shape pieces needed to play this ancient Chinese game. Curr/Ref Math Introduction to Tesselations Reproducible designs and instructions on how to create artistic patterns with geometric shapes.

86. Www.math.niu.edu/~rusin/known-math/97/origami can be equally well accomplished by folding (admittedly infinite) sheets of paper.Conversely, almost every folding (or origami) construction can be also http://www.math.niu.edu/~rusin/known-math/97/origami

87. No. 1110: Origami But we see far less paperfolding. He learned origami as a child in Shanghai. He usedfolded paper to demonstrate all kinds of structural principles to students http://www.uh.edu/engines/epi1110.htm

No. 1110: ORIGAMI by John H. Lienhard Click here for audio of Episode 1110. Today, we fold paper. The University of Houston's College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity created them. I linger after my History of Technology class to chat with a student, Michael Adcock. Adcock has just handed in his term paper on a seemingly marginal topic. He's written about origami the so-called "Japanese" art of paper-folding. As he explains origami to me, his fingers work on a small square of paper. I'd never seen myself as an origami folder, but as he talks and as I skim-read his paper, my childhood (dare I say) unfolds before me: the paper boats I sailed each spring in rivulets of melting snow; folded-paper hats; folded gliders that got me into trouble in my grade-school classroom; the paper water-bombs we threw at one another in the hot summer. Today, I still like to fold paper swans with flapping wings. As we talk, I remember how blank pages of paper lured me. I was dyslexic. Paper was little use to me as material to write upon. But paper, more than any other material, is foldable. Adcock suddenly hands me the figure he's been making. It's a clearly recognizable model of Alfred Hitchcock. He picks up another piece of paper. His fingers move again, and the conversation continues.

88. WannaLearn: Origami cover BUY IT, Secrets of origami The Japanese Art of paper folding A classic,time-honoured introduction, considered one of the best ways for beginning http://www.wannalearn.com/Crafts_and_Hobbies/Origami/

More search options Crafts and Hobbies : Origami Home Crafts and Hobbies / Origami ] University of Phoenix Online - a true innovator in distance education, University of Phoenix Online allows students to earn their degrees and advance their careers - all online. Click here for more information. Free Instructional Sites: British Origami Society (Rating: 6.01 Votes: 174) Rate this site: Read Comments (2) Origami Help for Beginners - a short tutorial for beginners to origami that teaches the requisite skills to make almost any well-diagrammed model in any book or Website through explaining common folding symbols and written instructions (Rating: 6.21 Votes: 178) Rate this site: Read Comments (1) Origami Interest Group: Diagrammed Models - a collection of step-by-step instructions for a creating wide range of origami items, covering basic origami folds, aeroplanes and star ships, birds, boats, bookmarks, boxes and containers, buildings, clothes, fishes, flowers, furniture, garlands and chains, hearts, humans, insects, mammals, money, ornaments, puzzles, reptiles and prehistoric animals, roses, toys and more (Rating: 6.55 Votes: 139)

89. Fuentes De Información, V.Larios Totallyreal origami and impossible paper folding de David Auckly y John http://www.uaq.mx/matematicas/origami/ligas.html

Regresar a: Doblando la Geometría Fuentes de información sobre Origami y Matemáticas Material preparado por M.D. Víctor Larios Osorio Departamento de Matemáticas (Facultad de Ingeniería). Licenciado en Educación Media (Matemáticas) por la Escuela Normal del Estado de Querétaro, Maestro en Docencia de las Matemáticas por la Universidad Autónoma de Querétaro. Profesor/investigador de bachillerato, licenciatura y maestría. Correo-e: vil@sunserver.uaq.mx Sitio web: http://www.uaq.mx/matematicas/vlarios/. Fuentes impresas sobre construcciones con origami: La siguiente es una lista de fuentes bibliográficas impresas. A algunas de las obras listadas se le han añadido ligas que llevan a librerías o bibliotecas virtuales (o en-línea) para poder ser adquiridas o consultadas. "Lifestyle origami" de Jay Ansill (1992, EEUU: HarperCollins). "Unit origami" de Tomoko Fusè (2000, EEUU: Japan Publications). "3-D geometric origami: Modular Polyhedra" de Rona Gurkewitz y Bennett Arnstein (1995, EEUU: Dover Publications). "Amazing origami" de Kunihito Kasahara (2000, EEUU: Sterling P.).

90. Key Curriculum Press | Unfolding Mathematics With Unit Origami origami, designed especially for algebra and geometry students in Through origamifolding sequences, basic mathematical ideas reveal themselves origami paper. http://www.keypress.com/catalog/products/supplementals/Prod_UnfoldOrig.html

Home Customer Service Ordering Information Contact Us ... Site Map Resource Centers The Geometer's Sketchpad Fathom Dynamic Statistics Discovering Algebra Discovering Geometry ... IMP Professional Development General Information One-Day Workshops Three-Day Workshops Summer Institutes ... Custom Workshops General Information Ordering Information Customer Service Contact Us Meet Our Authors ... Press Room Other Key Sites Key College Publishing KCP Technologies Keymath.com Supplementals Unfolding Mathematics with Unit Origami Unfolding Mathematics with Unit Origami Betsy Franco Now comes Unfolding Mathematics with Unit Origami 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. A colorful poster is also available to accompany Unfolding Mathematics with Unit Origami . The poster illustrates each finished model and will motivate and assist your students while they fold. Origami Paper Unfolding Mathematics with Unit Origami 136 Pages Unfolding Mathematics with Unit Origami Poster SAVE 17% Book and Poster Set

91. The Iowa Distance Learning Database The paper must be precisely square in order for the folding to be Search for origami;Limit Subjects to arts; Limit search to appropriate grade level. http://www3.iptv.org/iowa_database/event-detail.cfm?ID=2774

92. Arts/Crafts/Origami com/~marmonk/origami.htm Ring of origami Art The purpose of this webring is to uniteall web pages that have content about the art of origami or paper folding. http://www.arts-entertainment-recreation.com/Arts/Crafts/Origami/

Search: Category Description: Origami is known as the art of paper folding, developed first in Japan thousands of years ago. In the most traditional sense, simple to intricate models are made from a single square piece of paper, entirely by folding. Non-traditional paper sizes are used in such off-shoots as Letter and Envelope Folding and Money Folding. Multiple pieces of paper are used in Modular models, while cutting is a part of Origamic Architecture. Models can even take flight as with Paper Airplanes. Arts Crafts Origami Clubs and Societies Geometry and Modulars Money Folding Origamic Architecture ... Joseph Wu's Origami Gallery of original works models by others and convention photos. Articles and original diagrams. Database of online models as well as a links directory both with search. URL: http://www.origami.vancouver.bc.ca/ origami.com Gallery convention pictures diagrams and a shockwave diagram. Searchable databases of origami enthusiasts submitted diagrams models that are in books and a mailing list archive. URL: http://www.origami.com/

93. The Calculus Of Origami - References Abstract We show a remarkable fact about folding paper From a single square ofpaper, one can This resolves a longstanding open problem in origami design. http://community.core-sdi.com/~gera/origami/references.html

T HE C ALCULUS OF O RIGAMI THE R EFERENCES On the Mathematics of Flat Origamis - Thomas Hull (1994) Abstract: Origami is the art of folding pieces of paper into works of sculpture without the aid of scissors or glue. Modern advancements in the complexity of origami (e.g., the work of Montroll and Maekawa) reveal a rich geometric structure governing the possibilities of paperfolding. In this paper we initiate a mathematical study of this "origami geometry" and explore the possibilities of a graph theoretic model. In particular, we study the properties of origami models which fold flat (i.e., can be pressed in a book without crumpling). Necessary and sufficient conditions are given for an origami model to locally fold flat, and the problems encountered in trying to extend these results globally are discussed. The Complexity of Flat Origami - Marshall Bern, Barry Hayes (1996) Abstract: We study a basic problem in mathematical origami: determine if a given crease pattern can be folded to a flat origami. We show that assigning mountain and valley folds is NP-complete. We also show that determining a suitable overlap order for flaps is NP-complete, even assuming a valid mountain and valley assignment. Planar Drawings of Origami Polyhedra - Erik Demaine, Martin Demaine (1998)

94. Origami Paper General strategies and specific models for using origami to teach mathematics and communication skill http://csis.pace.edu/~meyer/origami

This site has been moved to Meyer Family Origami Site at http://rachel.ns.purchase.edu/~Jeanine/origami You should be redirected to the new site. If not, click on the link or enter the address into the location field on the browser. Thank you

95. Classic Cranes History Is the folding procedure elegant and pristine, with crisp lines Is there no wastedpaper, awkward thickness, or Today, a work of origami must exemplify both the http://www.origami-tsuru.com/crane7.htm

to Introduction FOLDING: A COMPACT HISTORY From the book " Origami from Angelfish to Zen" by Peter Engel Paperfolding originated in China around the first or second century A.D. and reached Japan by the sixth century. The Japanese called this new art form origami (the name coined from ori, "to fold," and gami, "paper") and cultivated it as an art of understatement. Origami suggests; it implies without announcing outright, intimates with out brashness. It exists best in a kind of light the Japanese call ke, a soft, gentle light for intimate occasions. Why use a bright light when you can see in a dim one? Why shout when you can whisper? For that matter, why draw the entire bamboo tree when a few brush strokes suffice? Just as a three-line haiku evokes a setting or a season, the placement of a rock and a pond in a Japanese garden recalls the universe. It is a short imaginative leap from the rock to a mountain, from the pond to the sea. Origami is an art of economy. A few simple creases evoke an animal; modify the sequence slightly, and an entirely new beast appears. To the Japanese sensibility, the success of a completed origami figure depends on the creator's eye for form, structure, and proportion. Does it capture the creature's true form, the placement of its head and limbs, the shape of its shoulders and hips? Does it suggest the animal's motion, its stride, glide, or gallop? And finally, is the paper figure a mere likeness of the original, or does it delve deeper, into its essential character?

96. Angle Trisection angle. Since we're working with origami, the angle is in a piece ofpaper So We're going to trisect this angle by folding. I http://hverrill.net/pages~helena/origami/trisect/

http://hverrill.net/pages~helena/origami/trisect/ Origami Trisection of an angle How can you trisect an angle? It can be shown it's impossible to do this with ruler and compass alone, (using Galois theory) - so don't try it!!! But you may be able to find some good approximations. However, in origami, you can get accurate trisection of an acute angle. You can read about this in several places, but since it's so neat, I thought I'd put instructions up here too - more people should be able to do this for a party trick! Jim Loy has informed me that this construction is due to to Hisashi Abe in 1980, (see "Geometric Constructions" by George E. Martin). See Jim Loy's page at http://www.jimloy.com/geometry/trisect.htm for a description of many other ways to trisec an angle. Since we're working with origami, the angle is in a piece of paper: So what we want is to find how to fold along these dotted lines: Note, if you don't start with a square, you can always make a square, here's the idea. We're going to trisect this angle by folding. I'm going to try and describe this in a way so that you'll remember what to do. Suppose we could put three congruent triangles in the picture as shown: These triangles trisect the angle. So we need to know how to get them there.

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