A Bibliography of Origami in Education and Therapy

compiled by John S.Smith, revised August 2005

This bibliography is arranged with the author(s) first, then the title,and the publishers. Where I have been able to see the material or have other details I have put this as a guide in italics after the publishers.

Abbot, Janet S.
Learn to Fold-Fold to Learn
Franklin Publications, 1968, Pasadena, Calif.
Aberkrom, R
Origami and rheumatism.
Proceedings of the Conference on Origami in Education and Therapy. pp 356.
BOS 1992.
A moving personal testimony to the help Origami can give to those suffering from rheumatism. The exercise for deformed wrists and fingers is particularly valuable. The challenge of a new model can free one from daily care and the anxiety of sickness. Feeling happy is the best medicine that one can have for every ailment. The rich side of Origami is inexhaustible. It is a first rate mental and physical therapy and opens a creative world which is infinite.
Afonkin, Sergei
Origamimagia: Mystification or discovery.
BOS magazine no. 156 Oct. 1992.
An account of a meeting with Dr. Pozvin of the Institute of Electronic Physics near Moscow., who is working on apparatus to introduce information about drugs and medicine into the human body without contact with it. Dr. Pozvin says that every structure independent of the material it was made of can modify the space around it and can be used as a transmitter or receiver or both. Origami figures can do it as well.
Amir-Moez, Ali R.
Folding a square into odd numbers of sub-squares
School Science and Mathematics, 68 (May 1968), 377-9
Reference by Henry Lulli, THe Cuboctahedron.
Appels, Marijke
Origami and the handicapped.
Proceedings of the Conference on Origami in Education and Therapy. pp 343.
BOS 1992.
Marijke makes the point that teachers need to realise that paper folding is an excellent training of motor skills, and helps to make new contacts with people. It helps one to forget pain and sorrow and it takes one mid off all that is lost.
Araki, Chiyo
Origami in the Classroom book 1
Tuttle, 1970
11 Projects for teachers for Autumn to Christmas; gives lesson times tips etc.
Araki, Chiyo
Origami in the classroom book 2
Tuttle, 1970
This covers 14 Winter through Summer projects for teachers; includes material requirements, times and tips.
Armos, Dr. Antonio Alberto de
Rehabilitation through paper folding.
Pajarite Magazine No. 17 pp 20
Paper folding is beneficial to those with rheumatic illnesses especially where the upper limbs are affected. Paper folding :-

1. Avoids deterioration due to lack of use
2. Is good as a passive massage of the joints.
3. Reinforces neuromuscular circuits
4. Sets in motion new circuits at the cerebral level in the co-ordination of voluntary movement.
5. Can easily be practised at home.
6. Acts as an occupational therapy.
Arnstein, B.
Origami Polyhedra Exposition Press, New York, 1968
This is a book of 112 pages, divided into 2 Parts. In the first part of 78 pages diagrams are given for the folding of the bird, and frog base, as well as a sort of windmill base, from a square of paper. The basic constructions of these bases are then repeated using a triangle and pentagon. Each base is opened up so as to show the form of the creases in 3D, these are described as polyhedra. In the second part of the book photographs are used to show how to make some 44 constructions by taping together modules made from the bases. Some of the models are named including the following epic :- " Great Rhombicosidodecahedron "
Aramburu, Araminta V.
Trabajo manual educativo
Crespillo, 1939
Source Legman's Bibliography.
Armin, J
The Instructor vol 71, pp.25 June 1962.
Aronson, Ellen ; D'Arcangelo Janet
Origami workshop for siblings of children with disabilities or chronic illness
Proceedings of the Conference on Origami in Education and Therapy. pp 374.
BOS 1992.
Origami is used as a therapeutic tool to stimulate thought and foster discussion about sibling related issues. Origami is a creative, non-threatening art which spans all ages and is an excellent vehicle to teach stress management.
Auger,Jean, British Dyslexia Association.
Letter to J.S.Smith, June 1990.
Reports the experience of her son who was very dyslexic, but enjoyed Origami and apparently derived benefit from it.
Baicker Karen,  Origami Math: Grades 4-6 
Origami Math: Grades 2-3
Ball, R. Carol.
Origami as a second language tool.
Proceedings of the Conference on Origami in Education and Therapy.pp 85.
BOS 1992.
Carol Ball describes the use she has made of Origami in French classes for about seven years. She has found that Origami is a teaching tool that cannot be underestimated. It helps develop five motor skills, attention to detail and sequential learning, and helps in establishing communication skills.
Ball, Carol
Do you speak Origami
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 131
The Platonic Solida and its Interrelated Solids
Carol's French program is based on themes like family, clothing ,animals, seasons and holidays and Origami is incorporated into the lessons. The author gives details of the models she uses and how they are incorporated into the lessons..
Ball, Derek
Folding Digraphs.
Mathematics Teaching no. 79, pp. 39-41 ; June 1977.
Folding geometric figures into halves, quarters, and so on. A bibliography of recreational mathematics Vol. 4.
Ball, Katherine M.
Paper Folding and Cutting, adapted to
Kindergartens & Schools
The Prang Educational Company, Boston 1892,
45 pages.
Pat Truit Source
Bamberger,Gabriel
Education of head and hand; manual no.1 paper folding pp. 11-24, 1891
A Flanagan
From Legman's bibliography. The book is based on Froebel
Banda, Mea Hartog van
Origami in prison.
Proceedings of the Conference on Origami in Education and Therapy. pp 352.
BOS 1992.
It is therapeutic for prisoners to have people from outside willing to show and teach them things. Origami is special as it completely new for most of these people. It is fascinating and most important non threatening. It helps concentration and patience.
Barnett, I.A.
Geometrical constructions arising from simple algebraic identities.
School, Science and Mathematics 38 (1938) ; 521-7.
Barr, Stephen
Experiments in Topology
T.Y.Crowell, 1964 , New York
Referred to by Martin Gardner in Mathematical
Diversions.
Bauzer, Riva
A recreational for children: dwellers in high rise buildings in Rio de Janeiro.
Proceedings of the Conference on Origami in Education and Therapy pp. 261.
BOS 1992.
Origami has been included in a programme of art-education activities for children who live in high rise buildings. The use of Origami has been found to have high correlations with the learning to learn process.
Beloch, M.Piazzolla
Sulla risoluzione dei proplemi di terzo e quarto grado col metodo del ripiegamento dell carta
Universite di Ferrera, 1935
This paper extended the work of Sundara Row and showed that the folding of paper can solve the third order
equation in an elegant and can also numerically obtain real roots of the fourth order equation. Refer to the
proceedings of the first International meeting of Origami Science and Technology, Ferrera,Italy December 6-7th 1989, published by the University of Padova and edited by Humiaki Huzita.
Beman, W.W. ; Smith, D.E.
New plane and solid geometry, p287
Ginn and Company, Boston and New York, 1900.
Benjamin, Ranana G.
Teaching with Origami
Guide for teachers for the learning disabled child. plans for 5 lessons , helps develop cognitive skills.
Benjamin, Ranana G.
Including Origami in the Curriculum
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 135
Children love to fold. While folding they also learn how to follow instructions and learn a sequence, and they get a model. But teachers have to be convinced that they can learn and then teach folding. Once convinced teachers are enthusiastic and the students always ask for more.
Berger, Emil J.
Devices for the Mathematics Classroom.
The Mathematics Teacher January 1955 p42-4
This article by Ethel Saupe shows how simple paper models of the conic sections can be made. No -folding is used but the curves which are achieved by very simple methods in the paper are of considerable interest. Ideas such as that the hyperbola is a conic section are very well illustrated.
Beskow- Warburg and Harbord
A Handwork Book for Children, (Chap. 2 The Folding
of Paper p10-21)
Bridgman Publishers, Inc. Pelham N.Y.
Pat Truitt source
Blanch, Pedro
Trabajos manuales y juegos infantiles
Source David Lister
Bohan, Harry
Paper folding and equivalent fractions: bridging a gap
The Arithmetic Teacher vol. 18 pp 245-9 April 1971
This is an important paper. the basic idea is that pupils can be helped by actually handling something concrete provided that the process of manipulation is a good match to the way the symbols will need to be processed. Bohan clear the steps he followed:
1. Bohan was concerned that there was a huge gap between the usual concrete models and the intended
generalisation, for equivalent fractions.
2. Bohan searched for a model with a good match to the required generalisation. He found this in the use of paper
folding.
3 Pupils are given a rectangle of paper with one half shaded.
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------------------------------------ a
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they are asked questions about how many parts, how many shaded and what fraction it represents. The paper is then folded in half along 'a' .and a similar set of questions asked before opening. The paper is then folded into thirds and the process repeated.
4. Questions are now asked which lead pupils to the generalisation ; a/b = a *n / b* n.
5 The paper folding method proved superior to other methods on a retention test of concepts and skills after 3 weeks.
Brissenden, T. H.
A paper-folding game about bicimals
Mathematics Teaching, no. 61, p 42 ;Dec. 1972
A bibliography of recreational mathematics Vol 3.
Britton, Sarah L.
Paper folding in plane geometry.
Mathematics Teacher 32:227-28; 1939.
A bibliography of recreational mathematics Vol 1.
Brown, Marcia Beals ; Loomis, Martha.
Origami as a Diagnostic Test.
Proceedings of the Conference on Origami in Education and Therapy.pp 264.
BOS 1992.
The paper describes the use of paper-folding as a way of measuring disability of the visual sequential memory.
Brown, Marcia Beals
Teaching Techniques for the Child with a Learning Disability.
Proceedings of the Conference on Origami in Education and Therapy.pp 282.
BOS 1992.
Describes methods of using Origami for children who need training in fine motor control, visual attentiveness, and visual sequential memory.
Brunton, James
Mathematical exercises in paper folding
Mathematics in School vol2 no4 pp[.25fJuly 1973
Published by Longmans for the Mathematical Association. Introduces the idea of successive approximation using a binary representation, congruent triangles and a demonstration of Euclid's vi;3 (bisecting angles)
Burke, M. A.
No scissors allowed
Arts and Activities vol 62 pp. 26-27 Nov. 1967
Butler, Rober W.
On Paper Wings.
Star Magazine , May 19 , 1991
.An article about Ed Toler and his work as teacher of Origami in Kansas City School District. The way Origami teaches discipline, following instructions, memory value, patterning, co-ordination and listening skills are noted.
Cajori, F.
History of Elementary Mathematics, with Hints on Methods of Teaching, New York 1921,
This book published originally in 1896 only contains one page (265) which mentions paper folding.
Nevertheless it is of considerable historic interest. Dealing with the construction of a 17- sided polygon Cajori mentions that Hermann Wiener in 1893 showed how to construct by folding the nets of the regular solids. Referenceis then made to Sundara Row's book published in Madras in the same year.
Castles, Paul
Origami as a Mental Therapy; Origami in a Psychiatric Hospital.
British Origami Booklet No. 5, Teaching Origami, pp 23-4. 1976
Castles describes his use of Origami as a Therapy at the Mapperley Hospital in Nottingham. A most important paper which describes the type of patients, the benefits obtained, the views of the Occupational Therapist concerned and draws some general conclusions about the use of Origami.
Chamberlain, Claire
Profile of Saburo Kase
British Origami 110, pp 10-11, February 1985.
A profile of Saburo Kase with one of his models. Kase has been blind since childhood but has invented many models. He has helped blind people all over the world through Origami and his work as a masseur.
Champy Alvear, Carmen
Trabajo manual
Cabaut, 1932
From Legman's Bibliography
Cheng, Tony
The use of Origami as a Psychotherapeutic Tool: Some Clinical Observations.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 81
Based on work in an outpatient mental health setting the use of Origami as a psychotherapeutic tool are discussed. The diagnostic uses are also considered.
Clemente, Eduardo.
A Survey into Origami.
Proceedings of the Conference on Origami in Education and Therapy.pp 88.
BOS 1992.
This survey results from 55 teachers. Nearly all of them said that they were positive towards Origami lessons for their pupils. The main reasons were; developing a creative sense, helping concentration, cheapness, easing communication between teacher and pupil, and developing hand skill and mobility.
Cornelius V'Ann
Origami and Communication Skills
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 141
Teachers plan ways to lead young people from where they are to a new way of looking at things, hopefully expanding their students' outlook to include an awareness of other peoples' views. Origami permits a person to give information in a planned way. When the result mathes the expecatation the communication is complete.
Costello, John
Origami polyhedra
Mathematics in school vol. 14, no. 5 p31 Nov. 1985
Costello comments that Origami is an art not a mathematical system. but an art which imposes many restrictions upon itself, and it is in adherence to these restrictions that the elegance and satisfaction of its products are to be found. Costello then points out that this has a lot in common with mathematics, in both cases we develop constraints and try to work and solve problems within those constraints. The idea is then floated that we may be dealing with an embryonic mathematical system which has never been codified or clearly structured. Costello goes on to show the waterbomb can be used as a starting point for the construction of the octahedron by the analysis of the folds.
Crane, Richard H.
More Flying, Spinning Objects ( Origami)
The Physics Teacher (Stony Brook, N.Y.) v27 p406-7 May 1989
Cuccia, Louis A., Lennox, R.Bruce, and Ow, Francis M.Y.
Molecular Modelling of Fullerenes with Modular Origami.
Proceedings of the Second International Meeting of Origami Science pp 181
Seian University of Art and Design1997.
The key role that paper models played in the discovery of C60 is outlined a method using Sonobe modules is illustrated for fullerenes. Ows ingenious module is diagrammed and its use in modeling the C60 shown.
Cundy, M. Martyn
Folding a regular pentagon from a square
Mathematics in School vol. 14, no. 5 p31 Nov. 1985
The construction given here is an exact method instead of the approximate procedure given by Henry Lulli in Mathematics in School vol. 14 no. 2 March 1985. A proof is given and the degree of approximation of Lulli's method estimated at 1%.
Cundy, H. Martyn ; Rollett, A.P.
Mathematical Models
Tarquin Publications, Diss, Norfolk, England
Many methods of constructing and using mathematical models are given. The authors say " The main use of a model is the pleasure derived from making it. When it is made it can be used to demonstrate the fact which it illustrates" .Paper folding, however, is only mentioned as a way of showing a dissection of a Triangle, brief mentions of Cones, Polygons, Knots and the Medians, Bisectors of a triangle, take about one page of a 286 page book. However a method of paper plaiting for constructing polyhedra discovered by Gorham in 1888 and developed by Pargeter is allowed 5 pages.
Dantas, Hosana dos Santas
Dwellings for the poor programme ( Sao Paulo)
COET93, Newsletter.
The use of Origami linked to recreational and didactic activities brought about very positive results. Children's creativity and socialising were stimulated.
D'Arcangelo, Janet S. ; Aronson, Ellen B.
Family issues addressed in 2 innovative programs
The Sibling Information Network, Vol. 7, No. 2
1990.
Describes Origami in use as a medium for teaching principles and techniques that are helpful in sibling relationships.
Darrow, Nancy
Red Cross Youth bring Origami to Retarded Children.
Origamian Vol. 5 issue 3
Shows the practicality of Origami as an activity for retarded children.
Davis; Chandler ; Knuth, Donald.
Number representations and dragon curves.
Journal of recreational mathematics. 3, (April 1970) : 66-81.
Dickoff, S. S.
Paper folding tangram pieces
Arithmetic Teacher vol. 18 , pp.250-2 April 1971
Dickoff obtains the tangram pieces by a process of folding and cutting a square piece of paper.
D'Aviso, U.
Traite de la Sphere
Rome 1682
Bibliography reference , Yates, Geometrical
Tools.
Dyck, W.
Katalog Muchener Math. Ausstellung (1893) acht
rag 52-54
Edwards, Ronald R.
Discoveries in Geometry by Folding and Cutting
The Arithmetic Teacher, March 1977 pages 196-198
The author claims that through paper folding and cutting, relationships of geometric shapes and regions may be examined; definitions reviewed; statements of geometric theorems visualised; and student's creative talents exercised. By folding (and some cutting or tearing) some basic ideas of triangles are explored. An example of the kind of problem put to students is ' How many geometric shapes can be formed by joining three triangular regions?'
Engel, Peter
Saburo Kase; a list of some of his models
Folding the Universe Vintage 1989 p31.
Englehardt, Paul and Lillack.
Papiergestaltung.
Leipzig 1926
Paper folding pp. 8-18; paper knots, pp. 46-47.
A bibliography of recreational mathematics Vol 1.
Enloe, Walter
Winged Messengers: a Holiday Peace Project (folding paper cranes)
Learning 8999, V18 p31-3 November/December 1989
Evison, Sam.
Teaching Origami in hospitals, schools and youth organisations.
Proceedings of the Conference on Origami in Education and Therapy .pp 306.
BOS 1992.
Sam has done a great deal of work in hospitals and elsewhere helping children and others with paper folding. This paper is full of his experiences and gives a rich account of those he has helped and the way he went about it.
Faulkner, J.E.
Paper folding as a technique in visualising a certain class of transformations.
The Mathematics Teacher, vol. 68, pp 376-7, May 1975.
Fehlen, Joan E.
Paper Folds and Proofs
Mathematics Teacher, Nov 1975 p608-611
Pat Truitt source
Fields, Sidney
She brings Origami into the fold.
New York Mirror. February 5th 1959
An article on Lillian Oppenheimer which mentions the work of Mrs. Frieda Lourie, a therapist who made use of Origami.
Fourrey, E.
Procedes originaux de Constructions geometriques.
Paris (1924) 113-139
Ref. Yates, Geometrical Tools.
Franco, Betsy
Unfolding Mathematics With Unit Origami 
Froebel, Friedrich
Education by development; the second part of the pedagogics of the Kindegarten
D. Appleton and company, 1905
Chapter 3 page 89-117 is titled, employment of children, -guide to paper folding- a fragment. David Lister in a letter of the 12th July 1967 to the National Froebel Institute London says that this as a translation of a fragment by Froebel in ' Der Pedagogik des Kindergartens' 1874.
Fujimoto, Shuzo
Sojo Suru Origami Asobi e No Shotai; Creative invitation to Origami play.
Asahi Culture Centre. 1982
In spite of the title this book contains important scientific and mathematical applications.
Fujimto, Shuzo; Mishiwaki, Masami.
Solid Origami
Asahi Culture Centre.1976
In spite of the title this book contains important scientific and mathematical applications.
Fujimoto, Shuzo
The Platonic Solida and its Interrelated Solids
Proceedings of the Second International Meeting of Origami Science pp171
Seian University of Art and Design 1997.
The molecular structure can be investigated by this simple folding technique of Origami, The 3D structure of substances with polyhedrons for the particles are better than sphere shapes.
Fushimi, Koji ; Fushimi, Mitsue
Origami no kikagaku; the geometry of Origami
Professor Koji Fushimi says of his book " Many of the Japanese traditional Origami, although developed empirically through manual cleverness, obey strictly the rules of geometry. Origami designers seem to be proving geometrical theorems unconsciously through their practice. In this book, these geometrical aspects are newly recognised and applied to the creation of new Origami"
Fyfe, R. M.
Mathematics teaching pamphlet number 8 paper folding
Association of Teachers of Mathematics, 1963
Based on an article in Mathematics Teaching no. 14. Paper folding is used to bring children to an awareness of relationships and an understanding of geometrical properties. This is only an 8 page pamphlet and gives a few examples to illustrate the methods. The ideas of symmetry are touched on as well as octagons, dodecagons, hexagons and equilateral triangles.
Gardner, Martin
2. Klein Bottles and Other Surfaces
6th Book of Math. Games from the Sci. Amer. H.
The University of Chicago Press, Phoenix Edition
1983
Chapter 2 of this splendid book deals with topological problems. The folding of a square is used to show the Mobius, and Torus surfaces as well as the Klein bottle. As far as I can trace this book contains the only examples of the use of paper folding in this way. Pages 21 and 26 cover a combinatorial problem in the folding of a strip. Reference is made to Barr's book on Experiments in Topology. Pages 52 and 63 solve the problem of the joining of the edges of a rectangle into a Mobius band.
Gardner, Martin
The combinatorial richness of folding a piece of paper.
Scientific American 224 : 110-14 ; May 1971
A bibliography of recreational mathematics Vol 3.
Gardner, Martin
Mathematical games : the plaiting of Plato's polyhedrons and the asymmetrical Yin-Yan-Lee
Scientific American 225 : 204-212 ; Sept 1971
A bibliography of recreational mathematics Vol 3.
Gierke, Hildegard von and Kuczynski, Alice
Allerlei Papierarbeiten.
Leipzig: Teubner 1910. 73 pages.
A bibliography of recreational mathematics Vol 1.
Gold, Scott-Brian ( See also Marmer, Lorreta A. )
Origami as a therapeutic tool
Proceedings of the Conference on Origami in Education and Therapy. pp 383.
BOS 1992.
Gold is an occupational therapist with 10 years experience. He has used Origami with the physically handicapped and the learning disabled with remarkable results. By learning a new creative art from the beginning the patient may learn how to learn; step by step methodically and in an organised manner. with the help of other staff, this process may be carried over to other functional areas.
Gold, Scott-Brian
Origami as a Rehabilitation Tool for Special Education.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 87
Children in special education often display both clinical and emotional needs. Clinical needs may include visual motor skills, fine motor skills, and digital strength. Emotional needs are often self image, frustration level and social skills. These needs profoundly efect each other, Origami is one modality where both may be addressed simulataneously.
Gomez, Miguel de Toro y
El trabajo manual, 1903
Source David Lister
Gorham, John
A system for the construction of plaited crystal models on the type of an ordinary plait.
Spon E and F.N., 1888
This book was the inspiration for the work on plaited polyhedra by Pargeter in the Mathematical Gazette
Gormley, Paddy.
Spreading the word.
BOS magazine no. 158, February 1993.
Paddy Gormley developed instruction sheets with virtually no symbols or written instructions. These proved to be very easy for children to follow and made it possible to supervise eight groups simultaneously in the classroom.
Grant, N. ; Tobin, A.
Let them fold
Arithmetic Teacher vol.19, pp. 420-5 October 1972.
Grey, Laura ; Kate, Rachel
Funfolds ; Language Learning through Paper Folding
Communication Skills Builders, Inc. 1984
The introduction to this important book states :- " Fun Folds is a creative format for teaching language. Through use of this paper-folding art form, language teaching gains a new dimension. Learning becomes active, rather than passive. This multisensory, multidimensional program helps children develop temporal-spatial skills, visual-motor proficiency, and receptive and expressive language skills as they participate in an enjoyable, stimulating, and interesting paper-folding activity."
Grey, Laura; Kate, Rachel
Fun Folds: Life on the Water
Day Care and Early Education v14 p18-22 Spring 1987
See also the book called Fun Folding by the same authors
Gross, Gay Merrill
Origami Storytelling a panel discussion.
The Platonic Solida and its Interrelated Solids
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 125
A report of a panel dicussion on Origami story telling. Rachel Katz led the discussion and this article summarizes the main contributions. Combinig Origami and story telling can heighten interest in Origami, inspire student's creativity, and offer a means to relate Origami to diffrent areas of the school curriculum. Some of the ideas covered include progression stories where the paper transforms from one model to another, a single model as a focus, a story that teaches a model. methods of presentation and practice are also covered.
Gross, Gay Merrill
Using Origami in the Classroom.
Origami Newsletter USA, Winter 1991, p10-11
This is an article in the Newsletter of the Friends of the Origami Centre of America. It is a remarkable article and summarises many of the educational values of Origami. It includes ; listening, reading, language and writing skills. Mathematics, Spatial relationships, Social skills, Science .
Gross, Gay Merrill and Weintraub
Easy Origami; Step by Step Projects that Teach across the Curriculum
Suitable for elementary school teachers uses a collection of well known beginners models. Places emphasis on clear instructions and gives teaching hints etc.
Gurkewitz, Rona
Modular Origami Polyhedra and Math Education.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 147
This paper explores how the National Council of Teachers of Mathematical "Standards" can be supported by modular polyhedra Origami to emphasise the areas of manipulation, problem solving, three dimensional geometry, and higher order thinking skills.
Hall, Judy
Teaching Origami to develop visual/spatial perception.
Proceedings of the Second International Meeting of Origami Science pp 279
Seian University of Art and Design1997.
It is possible to adapt Origami to specific levels and skills. The author chooses examples which have an open-ended quality to them and encourage children to go beyond simply following directions.
Hall, Judy
Using Origami to Develop Visual/Spatial Skills.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 149
This paper reviews the an elementary teachers' use of Origami in the development of visual/spatial skills. It's relationship to aptitude tests are shown..
Hartley, Miles C.
Patterns of Polyhedrons
The Author, University of Illinios
Ref. Johnson, Paper Folding for the Mathematics Class.
Heap, Isobel
Letters
British Origami No. 138, pp 32 October 1989
Isobel Heap is a Ward Teacher at Steppinghill Hospital in Stockport. Describes Origami sessions and discusses whether it is educational or not. The conclusion is clearly that it is educational as well as being great fun.
Heerwart, Eleonore
Course of Paper Folding: One of Froebel's Occupations for Children.
Charles and Dibble, circa 1920.
Proceedings of the Conference on Origami in Education and Therapy .pp 101.
BOS 1992.
This is an English translation of the book by Heerwart published in Eisenach in 1895. A remarkable introduction in the book outlines Froebel's ideas and the advantages of Paper Folding as a Froebel activity. Page 7 in particular gives a masterly summary of the immense advantages and benefits of paper folding as an activity for children.
Heukerott, Pamela
Origami: paper folding- the algorithmic way
Arithmetic Teacher vol. 35 no. 5 Jan. 1988 p4 f
Heukerott teaches actual models to her children, for example a carp. As the folding progresses she introduces geometric terms. Pupils are encouraged to make observations and discoveries as they make the folds. This is particularly true in folding the required bases. Thus the ideas of length, width, plane, square, diagonal, triangles, congruent triangles, emerge as the models are folded. The children enjoy the actual folding and the motivation of the final result makes a mathematics lesson an enjoyable experience.
Hoop, Marieke de
Orimagi in Origami
Conference of Origami in Education and Therapy, Proc. 1991 pp.30
BOS 1992
Experiences in teaching Origami to many different groups. The need to teach Origami as something more than just folding is stressed. In many cases Marieke found a hunger for knowledge and insight changing into greed.
Hofstein, Saul
Modalities in the Treatment of Family Disorder.
The Journal of Jewish Communal Services, Vol XLVII No 1 1970
A report appears in the Origamian 1971. As part of the therapy the family concerned folded figures which were then used with great benefit in the treatment of a young daughter with severe emotional disturbance.
Hopkins, M.
Paper folding for schools, 1990
From David Lister's records, Froebelian folding.
Huber, Johanna
Ein lustiges Faltb¸chlein
Ravensburg, Maier, 1927 , 1940 55p
Hull, Thomas
Geometric Constructions via Origami
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 31.
Instead of using straight edge and compass constructions in high school geometry why not use the straight edge of a square piece of paper and fold it up into any desired angle? Origami is actually a more powerful method of construction by learning how to trisect angle and double cubes..
Hull, Thomas
Unit Origami as Graph Theory
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 39
More and more teachers are turning to graph theory an innovative way of teaching network structures. One of the most engaging teaching aids is by the use of unit Origami. This paper gives examples and techniques for using Origami in this way. Origami3: a different mechanism in the brain when compared to the step by step logical understanding through written words and/or signs
Third International Meeting of Origami Science, Math and Education, 2001
Hull, Thomas
Project Origami
A.K.Peters Ltd, USA ISBN 10: 1-56881-258-2
A comprehensive study of mathematical paper folding, with copious notes for instructors. see BOS 244 June 07
Humiaki Huzita
Understanding Geometry through Origami Axioms.
Proceedings of the Conference on Origami in Education and Therapy.pp 37.
BOS 1992.
Huzita has realised that Origami axioms could be a friendly method for teaching geometry to the visually impaired. He then shows how Origami Axioms can be used to demonstrate many important geometrical ideas.
Ishihara, Shozo
Origami-Model of Crystal Structure, Spinel and Corundum Structures stresses the importance of Geometry in education. He points out that graphic understanding and inspiration through Geometric appearance appears to involve
Proceedings of the Second International Meeting of Origami Science pp161
Seian University of Art and Design 1997.
A new moveable Origami Model of crystal structure is presented as Proceedings of the First Meeting of Origami Science and Technology
Universita di Padaova, Preface, pll.
Huzita a teaching material of crystal structures and symmetry.
Jackson, Paul.
One Crease Workshops : Why?.
Proceedings of the Conference on Origami in Education and Therapy.pp 80.
BOS 1992.
Jackson has placed a great emphasis in his popular workshops on creativeness and intuition. By using only one crease with the students making the decision of where to place it , unexpected and beautiful shapes are often achieved.
Jacobs, F.J.
Manuale practco giardini
Stabilimento dell'editore guiseppe civelli, 1871
This book is a practical manual for Kindergartens of Friedrich Froebel for the use of educationists and mothers and is a simplified and free version of the " Paedagogik des Kindergartens" F. Froebel collected by W. Lange, Enslinn,Berlin 1962. a translation of this latter work by J.Jarvis was published in 1905 in 2 volumes. Paper folding is dealt with in vol 2 "Education by development" ( see BOS. library j168) pages 128-9 of Jacob's book gives a remarkable list of paper folds known at that time ( prior to 1862) including a windmill, sailboat, bird, catamaran etc.
Jimenez, I.; Pastor, G.; Ferreiro, A.
The construction of Platonic bodies from constant width continuous strips.
Intern. Journ.of Math. Educ. in Science & Tech. v21 p37-50, 1990
Jimenez, I. ; Pastor, G.; Torres, M.
Simple Geometric Models Starting from a Constant-Width Continuous Strip
Journal of Chemical Education v65 p1075-6 December 1988
The basic idea here is to fold strips of paper into regular triangles and thus form Geometric shapes
Johnson, Donovan A.
Paper folding for the mathematics class
National Council of Teachers of Mathematics, Incorp. Washington, 1971
This 32 page booklet is aimed at mathematics' teachers. Paper folding is suggested as an intriguing way of adding realism and interest to mathematics teaching, it simplifies and builds understanding and appreciation.
Geometric concepts including areas, intersections and angle bisectors are illustrated. Circle relationships are covered by using a circle of paper. Products and factors, various polygons, the uses of knots and conic sections are all demonstrated by folding. There is a section on recreations including the Moebus strip and flexagons.
Johnson, Donovan A.
Paper Folding Geometry
J.Weston Walch, Portland, ME, 1976
Arnold Tubis reference
Jones, Phillip S.
The pentagon and Betsy Ross.
Mathematics Teacher 46: 341-2; 1953
Joseph, Margaret
Devices For A Mathematics Laboratory.
The Mathematics Teacher, 1951, Vol.44 p245-247.
Instructions are given for the construction of a Hexahexaflexagram. The construction is folded from adding machine paper tape. A little gluing is needed.
Kallevig, Christine Petrell
Folding stories : story telling and Origami together as one.
Story Time Ink International.
The stories are illustrated by progressive Origami folds. Enhanced memory skills, increased fine motor abilities, improved group interactions, whole brain learning, esteem and fun are claimed as the increased self benefits.
Bible Folding Stories: Old Testament Stories
Kanazawa, Tooru
Origami Brings Relaxation and Fun to the Sick and Healthy of all Ages.
Informal Lines,Honubel,Shimpo, New York 1958
This describes the work of Mrs. Frieda Lourie at the Occupational Therapy Department, Psychiatric Division, Bell-Vue Hospital, New York.
Kaplan, Dorothy
Perceptual development through paper folding; Origami
Kimbo Educational Records box 246 deal N.J., 1971
This is a manual with an audio tape for use in school grades k-8. Nine models are given with instructions for the teacher.
Kaplan, Dorothy.
Paper-folding Plus.
Proceedings of the Conference on Origami in Education and Therapy. pp 154.
BOS 1992.
Kaplan gives an account of the way she developed the Origami lessons for Kimbo Educational Records. Dorothy has found that problem solving skills learnt in Origami carry over into the skills necessary for living. She summarises her ideas as; Origami in Education strengthens our intellectual skills, as a therapeutic toll it strengthens the spirit and as a recreation it makes us happy.
Kaplan, Dorothy
Teaching Origami- I did it my way.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 57
The author share her experience of teaching Origami over some 30 years. The problems of material, what to teach and the underlying philosophy are discussed.
Kaplan, Dorothy
Paper Folding Plus.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 61
The author talks about her TV show on Cablevision of Monmouth N.J> the thrust was on showing people how to do Origami.
Kase, Saburo
Physically handicapped and Origami
Proceedings of the Second International Meeting of Origami Science pp 295
Seian University of Art and Design1997.
A very important paper indeed which discusses the important points in teaching the physically handicapped and elderly people. The instructor must seek to bring out the potential ability of each person. It is important to not only teach from the stage or desk but to go amongst the student and teach one to one. The worst thing in teaching is not to talk to the students nut just to show them.
Kase, Saburo
My Origami method for the physically disabled including the blind.
Proceedings of the Conference on Origami in Education and Therapy .pp 242.
BOS 1992.
Saburo Kase is blind but is recognised all over the world as a brilliant teacher, particularly of the handicapped. In this paper he explains his idea and takes us through a teaching session for the visual handicapped.
Kawasaki, Toshikazu
Modular Origami's for molecular models.
Conference of Origami in Education and Therapy, Proc. 1991. p19 ,
BOS 1992..
A method of explaining molecular and crystal structures by simple unit Origamis
Kenneway Eric
Complete Origami, ( Entry under the heading of Therapy)
Edbury Press p168, 1987,
Mentions the work of Kase, Radcliffe, and Charles Gibbs, see other entries in this bibliography.
Kenneway Eric.
Blind Folder Wins Award
British Origami No. 71 p10, August 1978.
Reports on an award made to Saburo Kase for his services in teaching Origami to the blind. Also mentions the work of Mrs. Candida Zanelli who teaches Origami to handicapped children at the Ikebana Centre in Milan.
Kenneway, Eric
A paper folder in St. Petersburg.
British Origami, No. 77, p4, August 1979.
Describes the work of Charles Gibbes who used paper folding to establish communication with the Tsarevich in 1914.
Kishii, Nobuko
A handbook of the Origami designed to be used in the training of mentally retarded children.
ED1966 k61 project, 1966
This is a thesis, or part of one, for an MS degree, at the University of Southern California. The full title is "a handbook of the Japanese Paper Folding Art and Craft- Origami designed to be used in the training of mentally retarded children" .The idea of the study was to introduce a new idea in paper art and craft designed for mentally retarded children with I.Q.'s of 50 or below. The author says that Origami is the simplest to handle, lowest in finance, the easiest to supply in abundant quantity, freely changeable in usage, and has all kinds of beauty and variety. The teacher does not need to have artistic ability or special skills. In Origami the teacher as well as the child has an almost unlimited use of imagination.
Klein, F. translated by Beman W.W. and Smith D.E.
Famous problems of elementary geometry
Tinn and co., 1897.
This is a translation of a book by F. Klein from the German. In it reference is made to Sundara Row's book.
Koehler, John E.
Folding a strip of stamps
Journal of Combinatorial Theory, September 1968.
Reference by Martin Gardner in Mathematical
Diversions.
Kricskovics, Susanna
Is a Simple Ice-Cream-Cone-Base Enough?
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 161
Teaching Origami to six year old children once a week during the whole school year needs a simple and clear base which can be developed step by step, week by week. The basic idea is shown, the base which is to be used is introduced and the words learnt. Then each week the basic form is developed.
Krooshoop, Jose
Origami experience
Proceedings of the Conference on Origami in Education and Therapy. pp 393.
BOS 1992.
A fascinating account of Origami being used to help children and others. If you want to succeed in helping people you must be convinced that your pupil/patient is capable of doing what you want; and you must be convinced of yourself, that you can help through Origami.
Lamming, Geoff.
Teaching Origami as Mathematics.
Proceedings of the Conference on Origami in Education and Therapy. pp 159.
BOS 1992.
This is a most important paper. It shows how paper folding can be used to help meet the needs of the National Curriculum for Mathematics in the UK. Actual methods are given for the various levels and attainment targets. This is one of the most complete systems worked out for teachers to use straight away and has been tested in practice.
Lanoux, Irene.
Les mathematiques, pas a plis.
Proceedings of the Conference on Origami in Education and Therapy.pp 291
BOS 1992.
This paper was translated and presented by GeneviÈ de Gouvion St. Cyr at COET 91, it is a summary of a dissertation to obtain a certificate in speech therapy. Paper folding is used to help the child see the relationship between the object, material image of a concept, and the mental image of this concept.
Lardner, Dionysius ( Rev.)
A treatise on geometry and its application to the arts
The Cabinet Cyclopaedia. 1840
This author is mentioned in the article by Giovanni Vacca as having written the first geometry book to adopt paperfolding to clarify the structure and reasoning of plane geometry. The Cabinet Cyclopaedia contains the section. The date of publication is given as 1840 by Roberto Morassi but Vacca seems to suggest it could be 1829.
Latter, Lucy R.
How to teach paper folding
Kellog , 1899
According to David Lister this is based on Froebel's teaching
Leeming, Joseph
Fun With Paper
J.P. Lippincott Co.
Ref. Yates, Geometrical Tools.
Lewis, K.
Geometry without instruments, Further experiments in mathematics, book 4.
Longman, 1969.
In this 27 page booklet the question is posed, "How much geometry could be done if one was shipwrecked on a desert island with only a bundle of five pound notes" .The answer given is that all Euclidean plane geometry constructions can be done by paperfolding.
The booklet covers, straight-lines, right angles, squares, rectangles, special triangles, angles of triangles, lines inside triangles, quadrilaterals, circle-folding including parabolas and hyperbolas, and paper knotting.
Lieberman, J.
Paper folding teaches geometry to primary grades
The Instructor vol. 74 p12f. Feb. 1965
Liebschner, Joachim.
How does paper folding fit into Froebel's educational theory?.
Proceedings of the Conference on Origami in Education and Therapy.pp 16.
BOS 1992.
How paper folding fitted into Froebel's gifts and occupations.
Lister David
Paper folding in education
British Origami Society , 1984
This is the submission made for charitable status for the BOS. It contains and excellent review of the importance of Froebel.
Lister David.
History of Paper Folding in Britain
British Origami Booklet No3.pp2-3 December 1975.
Gives an account of Robert Harbin's rediscovery of Origami as a result of visiting his wife who was in East Grinstead Hospital. He went to cheer up some airman who were patients and found them folding models from Margaret Campbell's book "Paper Toy Making".
Lister, David
Origami Therapy
Manuscript in the BOS library.1989
An overview of Origami used as a Therapy.
Lockhart, Alfred
Construction of conic sections by paper folding
School Science and Mathematics 7: 595-97: October 1907.
A bibliography of recreational mathematics Vol 2.
Lotka, A.J.
School Science and Mathematics, VII, 595-597
Ref. Yates, Geometrical Tools.
Lotka, A.J.
Messenger of Mathematics, 34 (1905) 142-143.
Ref. Yates, Geometrical Tools.
Lotka, A.J.
Construction of the Conic Sections by paper folding.
Scientific American Supplement 73 , 1912, 112
A bibliography of recreational mathematics Vol 1.
Louw, Anita van der
Origami with elderly people.
Proceedings of the Conference on Origami in Education and Therapy. pp 359.
BOS 1992.
Anita van der Louw is an occupational therapist working with elderly people. She has found that Origami works by activating and improving social contacts and giving people a purpose. The process is a long one but the growing togetherness, the concentration and the manual dexterity that are activated are a great reward for all of the effort.
Lucas, M.Edward
Recreations Mathematiques vol. 2 , pp 202, 1883
Gives the knot method of folding a pentagon
Luchia, Antonio M. ; Corina, L.E.Luciani de
El Plegado y cartonaje en la escuela primaria
Kapelusz, 1946
From Legman's Bibliography. Includes the folding of regular polygons. The 4th printing was 1946, the first in 1940.
Lucio, Rene
The folding of a base, new technical possibilities for demonstrating the folding process in work with blind people.
Conference of Origami in Education and Therapy, Proc. 1991. p248.
BOS 1992.
This describes the work done in Munich to help blind people with Origami. Of particular interest is the use of tactile materials and the use of relief diagrams.
Lulli Henry ( Los Angeles)
A model of the dodecahedron
Mathematics in School vol. 14, no. 2 mar. 1985
A pentagon is folded on two squares. The paper is then torn to permit two shells to be formed. They are then locked together by inserting flaps.
Lulli Henry ( Los Angeles)
The regular dodecahedron
Mathematics in School 7, 1, 31, 1976
Lulli describes a fascinating method of constructing a regular dodecahedron from six modules, no gluing is needed, the modules are assembled by means of tabs and pockets. Each module is formed from a strip of paper in which two knots are folded giving joined pentagons.
Lulli, Henry ( Los Angeles)
The rhombic dodecahedron
Mathematics in School 7, 3 pp.25-6, 1976
Lulli, Henry (Los Angeles)
Constructing the dodecahedron
School Science and Mathematics Feb. 1976 pp 130-1
A dodecahahedron is constructed from 12 strips of paper each folded first of all in to a knot. The shape is put together by insert flaps into pockets
Lulli, Henry
The cube
Arithmetic Teacher 16: 579-80, November 1969
Lulli, Henry
Icosahedron construction
J1. Recreational Mathematics 8: 16-20. Fall 1975
Lulli, Henry
Polyhedra Construction
Arithmetic Teacher 19: 127-30, February 1972
Lulli, Henry
Tetrahedron
School Science and Mathematics 74: 630, Nov. 1974
Lulli, Henry
Nested Hexahedrons
SSM (School Science and Mathematics?0, March 1976, p246-7
Lulli explains a method of producing a series of
13 nested cubes from 39 sheets of paper. Some tearing is called for.
Lulli, Henry
The Cuboctahedron
Mathematics in School Jan. 1977.
Lulli gives a method of constructing the cuboc-
tahedron from squares of paper, but some tearing is called for.
Lunnon,W. F.
A map folding problem
Mathematics of Computation, January 1968
Referred to by Martin Gardner in Mathematical Diversions.
Lunnon, W. F.
Multidimensional map folding
Computer Journal (British Computer Society) Vol 14, no. 1 pp.75-80 ; Feb. 1971.
Macleod, Mrs. Norman
How to teach paper-folding and cutting
March bros. Lebanon Ohio, 1902
Legman's bibliography, probably Froebel
Madachy, Joseph S.
Mathematics on vacation
Nelson, 1968
Chapter 3 of this book is titled " Fun with paper" and in some 33 pages gives paper constructions which involve folding. The construction of a parabola and ellipse is shown. By knotting strips of paper triangles, squares, pentagons, heptagons, and nonagons are produced. The basic ideas of flexagons are introduced including 3D forms. Of particular interest is the idea of making objects out of flexagons by using different arrangements of folding sequence. From a flexagon strip of 19 triangles 10 different models are obtained.
Madachy, J.S.
Madachy's Mathematical Recreations
Dover, New York, 1979
Chapter 3 is entitled 'fun with paper' but makes the point that it is not dealing with Origami, which is defined as ' the Japanese art of folding paper to form specific objects' .Nevertheless in the 30 pages of chapter 3 folding paper is used to demonstrate and form many geometric figures including:- ellipses and parabolas. Strips of paper are shown folded into knots thus producing equilateral triangles, squares, pentagons, heptagons, and a nine sided polygon. This section is one of the best available in any book on paper knots.
Flexagons are also presented and methods of construction devised by Sidney Scott are given. The folding of objects from a single flexagon (based on William Ransom's discoveries) are given and include a boat, a buoy, cups, pyramids, and baskets. There is a final section on solid flexagons.
Madachy, Joseph S.
Bisection by folding
Journal of Recreational Mathematics 3: 231-32 ; Oct. 1970
A bibliography of recreational mathematics Vol 3.
Malcom, Paul S.
Braided Polyhedra
The Arithmetic Teacher, Vol 23 May 1976 p386-8
This article gives the advantages of what is called braiding, as needing no glue, yields a neat well constructed model, and even light weight paper produces solids that are quite rigid. The author has used braiding to complement the study of solids including Eulers formula for simple polyhedra. This states that the number of vertices minus the number of edges plus the number of faces always equals two. In probability studies the cubes give an inexpensive substitute for dice. The methods shown here require strips of paper special cut and the woven (braided) by folding. The original idea goes back to John Gorman 1888.
Marciniak, Gerald Peter.
The Sonobe Unit in the Classroom
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 169
Origami can be taught by six year-olds., soften disadvantaged student's hostility and motivate stroke debilitated recoverers. The simplicity of the Sonobe cube awakens the art interest in many people.
Marmer, Loretta A. ( see also Gold, Scott )
Simple Art of Origami reaches deep into the personality.
Advance for Occupational Therapists, Vol.7, No.27 July 1991
This is a most important article, Gold is a Senior therapist and Consultant in New Jersey but is also an experienced and dedicated paper folder. The article describes the uses of Origami in Occupational Therapy. Gold is reported as describing why Origami is so popular in rehab settings. The activity is age indifferent; it is often a novel activity, people have a natural curiosity about this mysterious process of creating shapes out of an ordinary piece of paper. Origami requires no tools making it non-threatening, in fact Origami is sometimes called " the peace of paper" .Finally Origami has no standards of excellence, it lends itself to those of varying skill levels and abilities. As a result people approach the art with fewer inhibitions. Gold makes the point of the need for models with a high fudge factor ( the degree of inaccuracy possible which will still produce the desired result) for patients with tremors etc. Gold has been involved with Origami for 20 years and is still amazed at the sense of pride his patients gain from the experience.
Marrington, L.S.
Mathematical experiences through paper-folding
Educational Supply Association
A series of lessons and exercises using paper folding introducing the ideas of right angle, rectangles, squares, triangles, fractions, square measures and plaiting.
Martin, P.
El ano preperatorio del trabajo manual, 1902
From David Lister's information
Matson, Beverly
Storigami Blooms into Education.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 171
Origami fits perfectly into the Bloom's taxonomy of educational objectives. In addition to teaching hand and eye co-ordination and sequencing skills Origami also teaches patience, precision and perseverance.
McClain, Ernest G.
Pythagorean paper folding: a study in tuning and temperament
Mathematics Teacher. 63:233-37; Mar 1970.
A bibliography of recreational mathematics Vol 3.
McGaw, Virginia
Basketry and Paperfolding, (Paper Construction,
pages 63-90)
A.Flangan, Chicago 1926
Pat Trait Source
Meson, Valentine y Lion
Trabajos manual, 1959
From David Lister's information
Meyer, Dan
OrigamiMaker: learning Spatial Relations through student constructed Multi-media.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 181
OrigamiMaker uses Hypercard a Macintosh authoring tool. Students can construct portfolios of instructions for Origami models using the system. OrigamiMaker facilitates and extends the pedagogical opportunities presented by Origami
, Jeanine
Classroom Origami
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 189
The potential of Origami to support the objectives of the National Council of Teachers of Mathematics is demonstrated. One of the most frequently stated goals of current educational reform efforts is to change the role of a teacher from lecturer to guide. In Origami the pleasure and value of being teachers and learners together has long been appreciated.
Milldam, Mary-Lee
Origami as a therapy
The Origamian, Vol. Issue 3, 1962 p4, 1962
This item is a letter from a student nurse at the University of California. Origami has been her hobby since childhood in Bangkok. She has found that the handwork required is beneficial to people recovering from broken arms and shoulders. She says 'every child who can be interested in this craft is another child saved from lifelong stiffness..
Morally C.V.
A note on knots
Proceedings of the London Mathematical Society vol. 22 xxxvii, 1924
Legman's bibliography. The construction of a regular pentagon by tying a simple knot in a strip of paper is generalised for the construction of any regular polygon with five or more sides.
Morley, F. V.
Inversive geometry
London , 1933. p174-6
Legman's bibliography
Morley, F.V.
Discussions; a note on knots.
American Mathematical Monthly vol. 31 pp 237-9
This paper deals with the construction of regular polygons of any number odd number of sides. The methods are illustrated. The author comments that if an analysis can be developed to handle the processes of knotting that he has developed then we shall have a method for solving particular equations of any degree. Morley dealt with the same subject in a note in the proceedings of the London Mathematical Society.
Morrow, Martha G.
How to fold a curve
Science News Letter pp 362. illustration p353 June 1952
Kids not too interested in geometry find the folding of curves ( and curve stitching) fun, and it is claimed gives an easy way to become acquainted with geometric curves. The instructions are not easy to follow and even involve drawing a circle to fold an ellipse or hyperbola.
Nakanura, Ann K.
Making paper cranes: a Hawaiian wedding ritual
Fiberarts v13 p9 November/December 1986
Near, M.J.
Origami Art
The Instructor vol 75. p84 June 1966
Neff , Sue A.
Paper Folding Notebooks: Slippery Rock State Normal School 1898
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 199
This paper discusses the methods of Froebel-Paper folding instruction used in normal schools in Pennsylvania in 1894-98.
Nitta, Junko
Origami as an aid to understanding Symmetry Groups.
Proceedings of the Second International Meeting of Origami Science pp 249
Seian University of Art and Design1997.
The lattice folded from paper is mobile, is the best material to help students to understand simply and easily a symmetry group. The handwork is an ideal substitute for experimental work and needs no extra finance. A teacher can instruct about 100 students in the same class..
O'Daffer, P. ; Clemens, S.R.
Geometry: an Investigative Approach.
Addison-Wesley, Reading, MA, 1976
The authors of this book write that their experience has been that as people become involved in the investigations and work with laboratory materials such as a ruler. compass, mirrors, geoboards, styrofoam solids, and so on, the ideas of geometry that were previously unclear and uninteresting begin to have real meaning and to arouse a curiosity which leads to further exploration. Although the book contains many ideas for experiments, paper folding is only mentioned on one page as an effective means for giving students " the feel" for a geometric idea.
O'Daffer, P. ; Clemens, S.R.
Laboratory Investigations in Geometry
Addison-Wesley, Reading, MA, 1976
Arnold Tubis reference
Okrent, Inez
Origami Landscapes
Arts & Activities, v. 108, p72-3, October 1990
Ogilvy, C. Stanley
Conics by paper-folding
Recreational Mathematics Magazine no. 1 pp. 22-25 ; Feb. 1961.
A bibliography of recreational mathematics Vol 2.
Olson, A.T.
Mathematics Through Paper Folding
Nat.Council of Teachers of Mathematics, Inc.Reston,
VA 1975
This is a revised edition of Donovan Johnson's classic, Paper folding for the mathematics class. There is an excellent section on algebra by paper folding.
Ow, F
Geometrical Folds
Private 1988
Arnold Tubis reference
Pallardo, Hernan M.
Trabajo manual
Baicco, 1939
Source Legman's bibliography
Paparo, Mariuccia
Origami Applied to a Drug Addict
Proceedings of Origami Science and Technology, p79. 1990.
This is a brief summary of a paper given by Dr. Mariucca Papero at the First International Meeting of Science and Technology in which she described a successful use of Origami as a means of establishing communication in a serious case of drug addiction.
Paparo, Mariuccia ; Ziliani, C.
Origami a scuola
S.M.S. di Vigodarzere (PD) 1987.
Paparo, Mariuccia : Cipolli N.
Esperienze d'insegnamento e discipline di studio nella scuola elementare.
Padova, Ed. Veneta, 1987, pp 245-249.
Paparo, Mariuccia
Origami as diagnosis, recovery and socialisation in learning of reading and writing.
Proceedings of the Conference on Origami in Education and Therapy. pp 363.
BOS 1992.
Mariuccia is a psychologist working with children suffering from dyslexia, disgraphia and other handicaps. This is a paper of major importance. It seeks to put the use of Origami within a sound theoretical basis. From many years experience Origami offers many advantages over other methods. It is an incredible educational material complete and valid for remedial intervention. It is a means of non verbal communication. It improves attention precision memory and perception. It reduces anxiety states by providing immediate gratification and can be a method for diagnosis of learning difficulties.
Paparo, Mariuccia
Origami as self therapy in social rehabilitation
Proceedings of the Conference on Origami in Education and Therapy. pp 369.
BOS 1992.
A moving account of teaching Origami in prison. Mariuccia concludes that Origami is well and truly a means of therapeutic training.
Pargeter
Platted polyhedra
The Mathematical Gazette pp.88-101, 1959
This is a based on a lecture given to the annual meeting of the Mathematical Association in April 1959. It provides a simple method of constructing polyhedra in the classroom which dispenses with glue and yet reveals geometrical relationships.
Pasatiempos
Juguetes de papel
Muntanola
Source Legman's bibliography.
Pasquali, P. (Professor)
Intuitive geometry without instruments for use in elementary classes of secondary schools, 1889
Vacca says this is probably the first work on elementary geometry in which paper folding provided the basic approach.
Peano, G.
Sulla definizione dell'area d'unna superficie
Atti della r. acc. dei lincei, vi, p54, 1890
This refers to an application of paper folding, folding into rhombic shapes and making diagonal cuts. It is possible to fold a sheet of paper and then fold it back on itself to make a more exact outline of any given shape, a method used a long time ago by Chinese and Japanese lantern makers. ( peano-schwartz surfaces ).
Pearl
Math in Motion: Origami in the Classroom.
Aimed at families and educators. Simple to follow hands on creative approach..
Pederson Jean J.
N-gami, a variation of Origami
The Mathematics Teacher, vol. 69, pp 34-8, January 1976.
Pederson, Jean J.
Some whimsical geometry; paper folding exercises to approximate any regular polygon.
The Mathematics Teacher, vol. 65, pp 513-21, October 1972.
Pederson, Jean J.
Asymptotic Euclidean-type constructions without Euclidean tools.
Fibonacci Quarterly 9: pp. 199-216 ; Apr. 1971
A bibliography of recreational mathematics Vol 3.
Penaloza, B. Vera
Figuras de papel
Edicion B.Banza, 1938
Source David Lister.
Penaloza, B. Vera
Trabajos manuales plegados
Libreria del Colegio, 1938
Source David Lister.
Penaloza, B.Vera
Metodologia, 1938
Source Legman's bibliography.
Petty, Lillian.
Origami- learning to see.
Proceedings of the Conference on Origami BOS 1992.
Education and Therapy.pp 19.
The way that Origami can help in sharpening visual perception.
Phillips, J.
Right Angles. Paper Folding Geometry
Crowell, New York 1972
Arnold Tubis reference
Pizzurno, Pablo A.
El trabajo manual, 1896
Source David Lister.
Ploeg, Elsje van der
Paperfolding and Education in History
Proceedings of the Conference on Origami in Education and Therapy.pp 195.
BOS 1992.
Gives an account of the Froebel movement in Holland. Discusses the importance of paperfolding to the development of children and lists the ways in which it can help. A valuable bibliography is included.
Ploeg, Elsje van der
Origami and therapy...Origami in therapy...?
Proceedings of the Conference on Origami in Education and Therapy. pp 403
BOS 1992.
Elsje writes that paper folding can connect your inside and outside world and can tell you want you want to know about yourself. It can bring order to your mind, you can make space in your head by paper folding. It can give you a rest to look with your hands, it gives you a soft way to be straight and precise.
Polidori, Angelo
Experiences of teaching Origami to severely handicapped people.
Proceedings of the Conference on Origami in Education and Therapy. pp 347.
BOS 1992.
The advantages of paper folding as an art or craft for the severely handicapped have been found to be :-
1. Paper is a familiar material unlike clay or other craft materials.
2. Results are obtained quickly compared with other techniques.
3. Models can be combined into groups or dioramas this is valuable for the individual and the group.
Polish, Jan
Teaching Origami to Enhance Self-esteem
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 91
Nine rules are given which will help in enhancing self-esteem by Origami.
Pomaron , Carlos
La papiroflexia: un arte en tus manos
Curso de Doctorado de Psiquitria, 1984-85
This is part of the work submitted for a Doctorate degree in Psychology. It explores the possibilities of the use of Origami as an aid to therapy.
A full translation of this very important paper occurs in :-
Proceedings of the Conference on Origami in Education and Therapy. pp 407.
BOS 1992.
The vital importance of the hand is discussed and the way in which paper folding can help the intellectual development of the child. The importance of play and creative activity is also discussed as well the problems of blind children and the re-education of the psychomotor, and the way paper folding can help.
Radcliffe, Gwyneth
Origami and Therapy.
Proceedings of the Conference on Origami in Education and Therapy.pp 296.
BOS 1992.
Gwyneth Radcliffe describes her use of Origami in her work as a Speech Therapist since 1956.
Ransom, W.R.
A six-sided hexagon.
School Science and mathematics. 52:94; 1952.
A bibliography of recreational mathematics Vol 1.
Ranzato, Lino; Valbonesi, Vally.
From the simple to the complex.
Proceedings of the Conference on Origami in Education and Therapy.pp 199.
BOS 1992.
The use of paper folding in the Froebellian method is discussed. The lack of a precise system of diagrams inhibited its development. Due to the work of Yoshizawa folding sequences can now be accurately communicated and hence makes its use in schools a practical business. Folding in school encourages manual dexterity, communication and creativity.
Rapaport, R.J.
Paper folding and convergent sequences
The Mathematics Teacher, vol.67, pp 376-7, May 1974.
Rice, Trevor
Plaiting Solids, pages 44-45
Mathematical Games and Puzzles, 1973, B.T.Batsford. London.
There is very little of Origami interest in this book. Pages 44-45 cover plaiting a Cube, Octahedron, Tetrahedron, and Icosahedron. There are two pages on a hexa-hexahedron, and a puzzle in which a square tube has to be turned inside out.
Robinson, Nick
Thoughts on Origami and Therapy.
Proceedings of the Conference on Origami in Education and Therapy. pp 416.
BOS 1992.
Nick gives an account of his use of paper folding with visual impaired students , and with people with mental and physical disabilities . The way Origami can be used in schools is also discussed. A particularly valuable section is where Nick summarises aspects of Origami that he tries to incorporate in his teaching. He has found Origami to be accepted and enjoyed throughout the age ranges and physical/intellectual abilities. Diagrams are included for some of the models that Nick has found particularly valuable.
Robinson, Raphael, and Trig, Charles W.
Folding a rectangle into six congruent triangles
(problem 139) American Mathematical Monthly 42; 451 ; Aug. 1935
A bibliography of recreational mathematics Vol 3.
Rocheron, July
El trabajo manual, 1930
Souce David Lister
Rocheron, July
Trabajo manual educativo, 1952
Source David Lister
Rocheron, July
Trabajo manuales plegados, 1930
Source David Lister
Rothe, Richard.
Falten und Formen mit Papier.
Wien: Deutscher verlag f¸r Jugend und Volk, 1923. 154 pages.
A bibliography of recreational mathematics Vol 1.
Row,T. Sundara ; Beman and Smith revised see notes.
Geometric exercises in paper folding
Dover publications, 1966
Sundara Row's original book was published in 1893. according to Giovanni Vacca he had the idea from the 8th gift of Froebels Kindergarten to make a study of folded paper. W.W.Beman and D. E.Smith revised it and published under this title in 1901. The second edition was published in 1905 by the Open Court publishing company. This edition is an unaltered republishing.
Rupp, C.A.
American Mathematical Monthly, 31 (1924) 432-435
A very important paper indeed. The object of the paper is to study and identify the mechanical folding transformation which turns a straight line into a parabola. The pedal and podoid and the negative pedal and podoid of any given curve are also constructed. The central object of the paper is the study of folding as a mechanical means of effecting a transformation. The comment is made that Row does not seem to have considered the possibility of transforming one curve into another by paper folding. In operation 1 the paper needs to be transparent so that it is possible to coincide a fixed point on to a curve. This idea of using the transparency of the paper does not seem to occur again until Beloch. Rupp also comments that he had only found two predecessors, Wiener and Row. But this is corrected with a reference to Painleve , 1895.
Sarasas, Mrs. Claude
Origami. Folding paper for children
Dainippon Yubenkai Kodansha, 1951
Source Legman's bibliography. This is a primary manual. An A-Z alphabet of folded animals etc. with names in English, French, and Romanized Japanese.
Schakel-Sandfort , Loes
Origami and the hardness of hearing.
Proceedings of the Conference on Origami in Education and Therapy. pp 312.
BOS 1992.
For those with hardness of hearing Origami can be a way to make life more significant. Folding is vary unbending, gives pleasure and the results are amazing.
Scopes, P. G.
Paper folding, the square root of two, and metric paper.
Mathematics Teaching no. 60 pp 30-31: Sept 1972
A bibliography of recreational mathematics Vol 3.
Scott, Wayne R.
Fractions taught by folding paper strips
Arithmetic Teacher vol. 28 no. 5 Jan. 1981 p18f
Paper strips are folded into halves, thirds, quarters and so on. The addition and subtraction of fractions is then demonstrated by laying one strip against another. Thus a strip with a crease half way is lined up with a strip with creases at intervals of a third. Now a half less one third can be seen as the difference between the two relevant crease lines.
b1
____________________!_______________________
_____________!______________!_______________
a1 a2
here ½ - 1/3 is the distance b1 -a1. by further folding children can show this is equal to 1/6. The method is also used to show the multiplication , division and addition of fractions. Ways of folding the strips into equal parts are also given. The method is also used to show the multiplication, division and addition of fractions. Ways of folding the strips into equal parts are also given.
Shall. Donald (editor and particepant).
Highlights of a panel discussion on Origami in Rehabiliation Therapy
with Michael LaFosse, Linda Levin, Ron Levy, and Don Shall.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 71
The use of Origami in hand rehabilitation, The importance of focussing on peoples abilities. Origami as a way of communicating. The use of simple folds so no one is set up for failure. Teaching troubled children .
Shall, Michael.
Teaching Origami.
Proceedings of the Conference on Origami in Education and Therapy.pp 71.
BOS 1992.
Shall was recognised as a brilliant teacher of Origami. This is a transcript of Michael teaching a model together with many of his witty observations on how and how not to teach paper folding.
Sheldon,W.C.
Illustrated lessons; paper folding
Springfield Mass. 1902
From David Lister's lists, Froebelian paper folding
Shen, Jia-zheng
To Make Paper Boxes of all Kinds: one example illustrated
Mathematics Teaching v119 p49 June 1987
The one example given shows a box folded from an Equilateral Triangle, it is not clear how this generalises to all kinds of boxes. The author is from the Republic of China
Shumakova K., Shumakov Y.
The Folding, a method of Bilateral Development.
Published on the Internet, www.icomm.ru/home/origami 1999
An exciting and most important paper which shows how the development of cognitive abilities in children is closely linked to psychomotor development. The development of more and more fine and precise movements of the hands involves the analysis and synthesis of brain activity. The training of the fingers of a bay accelerates the process of the functional maturing of the brain.
The folding methods described in this paper show how the two halves of the brain are developed by the use of Origami. The method has therapeutical and correctional applications as well. The conclusion is drawn that the 'folding method' of bilateral development combines the activation of the hemispheres (of the brain) with the sensation of a game. The remarkable aspect of this paper is that it reports on painstaking and careful research which support the conclusions that are drawn.
Smith, John S
Forgiving Folding.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 97
many handicapped children and others have difficulty in making accurate folds but can and should be helped to enjoy Origami. A method of analysing the process of folding and a way of measuring difficulty is introduced. This is then used a s a tool to make models easier to fold. A number of models are diagrammed with easy folding methods which are forgiving, that is to say they still 'work' even when the folding is far from precise..
Smith, John S.
Art, Origami and Education.
Proceedings of the Second International Meeting of Origami Science pp 379
Seine University of Art and Design1997.
The constraints that limit the richness of Origami as a medium for aesthetic expression are of great value in education. The ways in which Origami can help in education are illustrated in diagrammatic form
Smith, John S.
Letter to the British Dyslexia Association, 1990
This letter asked for any information on the use of Origami in helping Dyslexics. Smith quoted a conversation in which he was told that a dyslexic child found they could understand Origami diagrams and make the models, this gave them considerable prestige at their school and built up their confidence. See the reference under Auger Jean for the reply.
Smith, John S.
Paper Folding and the Pythagorean theorem.
Proceedings of the Conference on Origami in Education and Therapy.pp 207.
BOS 1992.
Two methods of demonstrating the Pythagorean Theorem by folding are given .
One method needs a little algebra but the other does not. The idea is suggested that the use of the hands in making the folds seems to be a powerful and direct way of aiding conceptual thought.
Solorzano, Sagredo Vicente
Papiroflexia elemental, 1947
Source Legman's bibliography. Intended for use in schools. First published as Papirolas escolares, 1946-7, in six Cartillas.
Soulsman, C.
Paper Folding Using Origami Techniques
Judy/Instructo, Minneapolis, 1985
Arnold Tubis reference
Starke, E.P.
American Mathematical Monthly , 47 (1940) 398
A solution is given by L.R.Chase to the problem
why a crease in a folded piece of paper is a
straight line.
Stonebridge Brian
Folding into three
Mathematics in School vol. 6, no.2 pp 13 mar. 1977
Published by the Longman group on behalf of the Mathematical Association. Gives a method of folding any rectangle into 3. Where the paper is of the "A" format a simpler method is given that exploits the special ratio.
Stonebridge, Brian
Further folding
Mathematics in School vol. 7, no.1 pp 14 jan. 1978
Published by the Longman Group on behalf of the Mathematical Association. This method involves rolling a rectangular sheet using exactly 3 turns. A fold is then made along the lines of the corners of the paper, thus only one fold is used.
Syrett, Barbara
Origami as an Educational Tool.
Proceedings of the Conference on Origami in Education and Therapy. pp 217.
BOS 1992.
Syrett has thirteen years experience as a teacher of language-impaired children in New York. She has found that the educational benefits of using Origami in the classroom are vast. The multi-sensory hands-on approaches stressed in special education are evident in all aspects of Origami. A lesson plan for Kindergarten and Mentally Retarded students is given
Taylor, H.M.
On a Paper-Folding Puzzle
Messenger of Mathematics,pp142-3, Vol. 34 1905.
The puzzle is how to fold a sheet of paper in which a circular hole has been cut, exactly the size of a shilling, so that a half-crown would go through. The article shows how to do it and why it works.
Temko Florence
Letter to John S. Smith, June 11th 1990.
Reports on a Speech Therapist in the USA who used Origami with success and on Florence Temko's own use of Origami in teaching learning disabled students including dyslexics.
Temko, Florence
Origami for Beginners
Charles E. Tuttle Co. Tokyo and Vermont, 1991
Page 47f deals with paper folding in schools including how to teach Origami, Art , Mathematics, Reading skills, Social studies, Special Education, Free Time, Group Projects.
Temko, Florence
Paper Pandas and Jumping Frogs.
China Books and Periodicals Inc. 1986.
pages 127-128 contain a short but important article on teaching Origami, and covers schools.
Temko, Florence
Paper Cut and Folded
World's Work Ltd. 1974
p186-188 give excellent advice to teachers who wish to make use of Origami. Ways of using Origami in the art and mathematics class are detailed. The use of paper folding in other activities is also noted including social studies. P188 gives a short but very useful note on the possible role of Origami in therapy including sickness, occupational therapy, perceptual training, art therapy, and as a communications bridge.
Temko, Florence
Paperfolding in schools
Proceedings of the Conference on Origami in Education and Therapy.pp 223.
BOS 1992.
Teachers have discovered that folding paper holds their pupils attention while improving essential skills. Origami fits ideally into interdisciplinary and multi-cultural programmes. Temko gives practical guidance on the use and benefits of Origami in Mathematics, Language Arts, Comprehension, Story telling, Social studies etc.
Temko, Florence
Getting Hordes of Teachers to Love Origami
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 207
Origami is now more widely accepted in U.S. schools than a few years ago, but teachers want help in offering it to their students. The writer shares her experiences in spreading Origami as an interdisciplinary and multicultural tool.
Tiborné, Horvath
Pedagogy for nurseries and paper folding.
COET93 Newsletter 2.
This article describes pioneering work in Hungary with a hearing impaired girl. Through Origami the experience of beauty and a sense of achievement can be found by damaged persons as well as in healthy ones.
Tiggelaar, Everdien
Origami and children with educational difficulties and problematic relationships.
Conference of Origami in Education and Therapy, Proc. 1991. p252
BOS 1992.
Everdien Tiggelaar describes her work with depressive and emotionally disturbed children using Origami. The way folding can be used to establish contact is of very special interest. The way an autistic boy was helped through Origami is most moving and inspiring.
Tinsley, T.( the third)
Use of Origami in the mathematical education of visually impaired students
Education of the visually handicapped vol4,pp.8-11, Mar.1972
A quote from Victor Hass says ' the blind or exceptional child often learns more quickly when the materials are concrete and movable. A number of recent psychological studies provide evidence that colour, motion, and touch are powerful reinforcers of learning. Examples are given of the application of these ideas to the visually handicapped including finding the sum of the angles of a triangle, folding a perpendicular and altitude and folding an angle bisector. The author found the use of paperfolding to be an excellent device for motivating students. the tactual experience helped the student to retain knowledge, since it could be related to actual physical experience.
Tissandier, Gaston
Popular scientific recreations a storehouse of instruction and amusements.
Ward, Lock, and co., 1890
This book is a translation and enlargement from Les Recreations Scientifiques by Gaston Tissandier. Page 869 gives diagrams for the flapping bird. According to Gershon Legman in his bibliography of paper- folding, Tissandier's book, Les Science Pratique, Paris 1889, gives the first publication of the Japanese flapping bird. in the west. Tissandier's book was published in Milan in 1897 with the title Le Ricreazioni Scientifiche.
Trigg, Charles W.
Collapsible Models of Regular Octahedron
Mathematics Teacher, 65: 530-3, Oct. 1972
From networks of equilateral triangles it is possible to fold many geometric models. In this paper Trigg deals with the nets which can be folded into Octahedrons.
Trigg, Charles W.
Collapsible Models of the Isosceles Tetrahedrons
Mathematics Teacher, 66: 109-112, Feb. 1973
It is shown how sealed rectangular envelopes can be used to construct tetrahedrons mainly by folding. Models are also made by folding strips of triangles.
Trigg, Charles W.
Collapsible Models of the Regular Octahedron
Mathematics Teacher, October 1972.
Pat Truitt Source
Trigg, Charles W.
Geometry of paper folding.
School Science and Mathematics, 54; 453-55 and 683-89: 1954.
A bibliography of recreational mathematics Vol 1.
Trigg, Charles W.
Folding an Envelope into a Tetrahedron
American Mathematics Monthly 56 : 410-12 June 1949
Trigg gives a method of folding a sealed rectangular envelope, after a single straight cut, into two congruent tetrahedra.
Trigg, Charles W.
Problem Dept.
School Science & Mathematics 50 : 407-8 May 1950.
Trigg gives a solution to the problem, ' What is the smallest number of creases necessary in order that an equilateral triangle may be folded, without cutting, into a regular tetrahedron with no open edges. The author gives a method of precreasing and assembly to achieve the desired result.
Trigg, Charles W.
Configuration generated by folding a square.
Scripta Mathematica 21; 77-80 ; 1955
A bibliography of recreational mathematics Vol 1.
Trigg, Charles W.
Folding a hexahedron.
Mathematics Magazine , 28-34; 1954
A bibliography of recreational mathematics Vol 1.
Trigg, Charles W.
Folding a rectangular card
(problem 3181) School Science and Mathematics 69:176-77 Feb. 1969
A bibliography of recreational mathematics Vol 1.
Trigg, Charles W.
Folding a hexahedron.
Mathematics Magazine , 28-34; 1954
A bibliography of recreational mathematics Vol 1.
Truitt, Shawn Troy
Paper folding and the visually impaired student.
Proceedings of the Conference on Origami in Education and Therapy.pp 299.
BOS 1992.
This describes the use of Origami at the Texas School for the blind and visually impaired. Examining a skill and reforming the process into a language that can be interpreted by the student is the goal of the teacher. Origami with its step be step process is well fitted to these aims.
Truitt, Shawn Troy
Paper folding adaptions for the blind and visually impaired student.
Waiting publication ( August 1993)
Part of a project to introduce Origami to the blind and visual impaired and therapy users. It will be valuable for young children.
Tsutasumi, Masatsugu
Origami Education in Japan.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 63
A brief history of Origami education in Japan is given. In Origami education it is something that everyone should be able to enjoy just for the fun of taking a piece of paper and folding it into something we like..
Unknown
Education Equipment June 1972
A review of Origami in action
Unknown
La imaginacion hecha papel certamen nacional de papiroflexia.
Fundacion Ande Revista No. 26 Agosto 1991, pp 32-32.
An account of the annual exhibition of paper folding by mentally handicapped young people.
Unknown
Mathematics in School vol. 2 no. 4 1973
This is all I know about the reference, I have asked Norwich library to get me a copy to see the relevance to Origami.
Unknown
Origami party
Instructor (New York, N.Y. ) v94 p100+ March 1985
Unknown
Origami, paper folding for play and art.
Print. vol. 12, pp. 25-28,July 1958.
Uth, Carl
Teaching aid for developing (a+b)(a-b)
Mathematics Teacher 48 (April 1955) 247-9.
Vacca, Giovanni; (Roma Universita)
Periodico di Matenatiche seria iv vol x no.1, 1930
This paper reviews paper folding applied to geometry. A translation by Brian Bishop with notes by Roberto Morassi is available in the BOS library.
Vanderpool, Donald L.
Regular polygons from knotted strips.
Recreational Mathematics Magazine no.10. pp. 3-4; Aug. 1962.
A bibliography of recreational mathematics Vol 3
Viszlói, Emöke
A method of teaching Origami to visually impaired children in Hungary.
Second International Conference on Origami in Education and Therapy
Origami USA 1995. pp 113
This paper gives a short history of the teaching of Origami to blind children in Hungary. Origami can give a way for blind children to create forms flat or 3D and thus express themselves in new ways. This helps to deal with stress and aggression. Models can be touched and smelled when the folds are painted with scanted felt tipped pens.
Vilaseca, Jose Sorigue
Trabajos manuales sin taller
From David Lister's information
Walker-Taylor , Sherry
Folding, arranging and learning.
School Arts v85 p35-6+ November 1985
Weston, F.M. jnr.
Laying out curves by folding paper work
Scientific American vol. 125 p121 13th august 1921
Legman's bibliography : Shows how to generate conic sections by folding using a circle. The relationship between a point P lying within the circle and the centre of the circle and the resulting conic section is made clear by the folding.
Wilcox, Jennie
Models to Teach
Proceedings of the Conference on Origami in Education and Therapy.pp 229.
BOS 1992.
A need many people have is to find models which are suitable for teaching the disadvantaged. Jennie Wilcox gives the benefit of her experiences and gives references to many folds she has found particularly useful.
Williams, P. Atwood
Origami, his busy fingers fold dozens of paper creatures.
Daily News-Sun., Sun City Ariz. 26 July 1988.
An article on Harry Eagle who is dyslexic yet has managed to become a highly skilled paper folder. It took him eight hours to make his first flapping bird . Now he can teach a beginner how to fold it in five minutes.
Witson ,B.V.
Perceptual training activities book: paper folding using Origami techniques
Teachers College Press, Columbia University N.Y., 1967
Reference from David Lister.
Woodman, Anne
Folding Star Container
Mathematics Teaching v121 p34 December 1987
Shows the folding of a container from a Hexagon. Anne Woodman is described as an Advisory Teacher for Primary Mathematics in Wolverhampton LEA UK.
Woodman, Anne
How Many Different Ways Can You Find of Folding an A4 Sheet into 12 Equal Parts.
Mathematics Teaching v113 p38 December 1985
See other entry for Anne Woodman.
Yamana, Shukichi
Envelope -Folding useful for Chemical Education
Proceedings of the Second International Meeting of Origami Science pp 189
Seian University of Art and Design1997.
The author has developed a system of folding envelopes to make various kinds of polyhedra corresponding to chemical substances. for teaching purposes.
Yamana, Shukichi
An easily constructed dodecahedron model
Journal of Chemical Education v61 p1058-9 December 1984
Some folding but cutting and tape needed, see Fujimoto for much superior methods.
Yamana, Shukichi
An easily constructed model of a square antiprism
Journal of Chemical Education v61 p1054 December 1984
Uses some folding but requires cutting and taping. Not in the same class as Fujimoto's Origami models for Chemistry.
Yamana, Shukicki
An Easily Constructed Model of Twin Hexahedral Cones having a Common Hexagonal Plane
Journal of Chemical Education v62 p1068-9 December 1985
There is some attempt at folding in this but cutting and taping are used. Compare this with Fujimoto's Origami for Chemistry.
Yapur, Rufino
Trabajo manual educativo, 1939
From David Lister's information
Yates, R.C.
Geometric Tools
Educational Publishers, St. Louis, 1949
This is a book for prospective teachers of mathematics and focuses on geometric tools. Section IV introduces folds and creases and asks the student to make 17 constructions to demonstrate some 23 geometric concepts. The formation of 5 regular polygons by knotting is illustrated.
Yates, R.C.
The 18th Yearbook, Nat. Council of Teachers of
Maths. p154.
Ref. Yates, Geometrical Tools.
Yates, R.C.
American Mathematical Monthly, 50 (1943) 228-230
Ref. Yates, Geometrical Tools.
Yenn, Thoki
Origami and sanity.
Proceedings of the Conference on Origami in Education and Therapy. pp 314.
BOS 1992.
A witty and penetrating analysis of mental activities in the typical Thoki style. Two tools of therapy are the shifting of a point of view which changes mind and that the reaction outside should give reaction inside. The doing of Origami is found to be therapeutic in both of these ways.
Yoshioka, R.
Fold paper to learn geometry
Science News Letter vol 83, pp.138-9, March 1963
Young, Grace Chisholm ; Young, W.H.
The first book of geometry, 1905
J.M.Dent and Company, London, 1905.
The authors write, " .. a method has been needed
for the development of geometric insight to
replace drawing in Plane Geometry. In this book no apparatus is needed except paper, a few pins and a pencil.. ..with care the models and diagrams are accurate and durable...… the child learns by doing it himself.....and this develops a geometrical sense.."The authors do not think much of Row's book (Geometrical Exercises in Paper folding), commenting as follows, "...Row's book has little to commend it. It is too difficult for a child, and too infantile for a grown person, ..nevertheless, paper folding (without any didactic object or result) is a favourite amusement at the Kindergarten " .The reference to the work of Froebel is interesting but obviously the authors were unaware of Froebel's ideas.
The book uses folding methods to demonstrate geometrical ideas and theories and includes ;
straight lines, planes, Cylinders, cones ,
division of a plane and line, angles, Triangles,
Squares,Cubes, Octahedrons. Where 3D shapes are concerned these are drawn and then cut out of the paper and folded into solids. A range of 2 and 3 dimensional shapes and their properties as revealed by cutting and folding them out of paper is given. Paper folding is used to make the proofs easier and more understandable
Zagorski, E.J.
Paper folding with a purpose
School Arts, vol 59, pp.5-10, Dec. 1959
Zagorski reports on the use of paper folding by students of industrial design at the University of Illinois. It is argued that paper should and can be used experimentally to discover new industrial uses or to stimulate architectural and graphic form directions. However 'happy accidents' cannot be relied upon to bring forth any positive results. Instead a logical, experimental program, setting up a series of experiments is used. While students were limited in materials and techniques, they were encouraged to achieve variety in their designs. Each student was to design his own structures and the steps necessary to achieve them. Students were given 6 days to complete experiments including:- Constructing a 3 D structure using straight line scoring only; ditto using curvilinear scoring; various modular structures some using cutting; demonstrating flexibility; constructing a structure which supported ones weight; and shapes to be judged by beauty of form. Function was to follow form.
Zanelli, Candida Mascia
Origami as an occupational therapy of hospitalised children.
Proceedings of the Conference on Origami in Education and Therapy.pp 303.
BOS 1992.
Candida's experience over fifteen years in the uses of Origami for hospitalised children are described
Zordan, Maria Grazia
La carta viva, viva la carta Come,perche e cosa proporre in un laboratorio di origami per bambini
Q.Q.M. n.25 published by the CDO 21st Dec. 1980
A very important publication dealing with the use of origami in the education of children. The way to introduce Origami is thoroughly discussed, stress is laid on the important role that parents can play in encouraging the use of paper folding in school. The aspects of socialisation, creativeness and discipline are dealt with by an author with deep experience.The relationship of Origami to mathematics, linguistics, and scientific education are explored.The conclusions are drawn that Origami is an highly educational experience because it has the virtue of play. The understanding of the importance of play to the development of the child is described.