Matematik och slöjd – Litteratur

Alla hantverksböcker innehåller naturligtvis matematik och det är omöjligt att ta med alla här. Därför kommer fokus att läggas på böcker som synliggör matematiken eller böcker som lärare rekommenderar i samverkansarbetet matematik och slöjd. Här finns också förslag på Undervisningsmaterial, Affischer och Artiklar.

De engelskspråkiga texterna hämtade från bokens baksida eller förlagets webbplats.

Den litteratur som berör origami etc finns på sidan om "pappslöjd" >>

Slöjdmagasinet är en webbplats där det bland annat finns ett stort utbud av svenska slöjd- och hantverksböcker, gratis mönster etc. >>

Belcastro, S-M. & Yanckel, C. (ed.). (2008). Making mathematics with needlework. Ten papers and ten projects. USA: A K Peters Ltd.
Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions. Läs mer om boken >>

Blom, E. & Jansson, E. (1988). Räkna med slöjden. Hallstahammar: Eget tryckeri.
Boken går troligen inte att köpa längre, men finns enligt Libris på flera bibliotek och säkert också på många skolor.

Bordhi, C. (2001). A treasury of magical knitting. Canada: Passing Paws Press.
In response to the overwhelming enthusiasm of her Magical Knitting Workshop students, who told her that "this has to be your next book," Cat spent months leaping out of bed in the middle of the night with sudden realizations of new ways to stretch the magic of Moebius-derived knitted forms.

All 33 projects start out as a Moebius scarf, which begin with a unique cast-on so simple that it can be done behind your back. After that, every stitch is set to rotate into place, ready to be knit, on and on until the scarf is ready to bind off. There are no wrong turns to take in the land of Magical Knitting, so you are home safe.

The book begins with scarves, which lead naturally into hats, then into felted fringed boots with Moebius bootstraps, and finally into capes. Cat's trademark clarity, thoroughness, and sense of humor make this book perfect for new knitters as well as the most experienced.

Bordhi, C. (2005). A second treasury of magical knitting. Canada: Passing Paws Press.
The 41 innovative projects in A Second Treasury of Magical Knitting all begin life as simple Moebius scarves, then evolve to become felted baskets, sling bags, jester tentacle bags, bowls, feline bliss beds, and designs in the recently born Trifold Series. In addition to felted projects, there are also unfelted baskets and bags, as well as several bags sized for children. If you have this book, you will never again lack for ideas for making gifts that will delight and intrigue everyone from children to the richest person in the world, all at a moderate price.

Cobb, M. (1995). The quilt-block history of pioneer days. USA: The Millbrook Press.
Synopsis: Easy-to-make papercraft quilt projects show how the daily lives and experiences of the pioneers came to be reflected in the quilts they made.

Coffin, S. (2007). Geometric puzzle design. USA: A K Peters, Ltd.
This book discusses how to design “good” geometric puzzles: two-dimensional dissection puzzles, polyhedral dissections, and burrs. It outlines major categories of geometric puzzles and provides examples, sometimes going into the history and philosophy of those examples.

The author presents challenges and thoughtful questions, as well as practical design and woodworking tips to encourage the reader to build his own puzzles and experiment with his own designs. Aesthetics, phychology, and mathematical considerations all factor into the definition of the quality of a puzzle.

Ekehjelm, E. (1992). Gör roliga saker av tyg och garn. I boken finns bl a en tydligt illustrerad beskrivning av fingerstickning.

Field, R. (19??). Geometric patterns from patchwork quilts. Ipswitch: Tarquin Publications.
Looking at geometric shapes and their construction. Geometric sequences, and how to draw them. The variety of geometric shapes used in quilting makes them an ideal source for geometric design - as well as fun in their own right.

Gerdes, P. (2007). African basketry. A gallery of twill-plaited design patterns. Mozambique: Center for Mozambican Studies and Ethnoscience.
Over the years, Paulus Gerdes has established himself as the preminent expert on patterns in African weaving and basketry, and the broader implications of these patterns …

This new book is a broad gallery of plaited African designs. These range over much of the continent while concentrating on those parts of Africa that are closest to his Mozambique center, including Kongo, Mbole and Mangbetu from Congo, Cokwe and Lunda from Angola, Digo from Kenya, Soga from Uganda, Zulu from South Africa, and Makhuwa in Mozambique itself, but including such distant poeples as Bamileke in Cameroon. As well as careful illustrations of details that might easily be overlooked by a casual observer, there is enlightening information about the cultural meaning of particular designs and their symmetries, both local and global.

Gerdes´research has been called 'ethnogeometry', a term meant to emphasize both the culural nature of the intricate geometry of these weaving patterns, and the significance of this endogenous knowledge of geometry as an educational tool … In Gerdes' gallery we are shown the love of patterns and symmetries that are the result of centuries of exultant exploration. Enjoy!

Mabbs, L. & Lowes, W. (2006). Quilter´s guide to twists & tucks – 20 folded fabric projects. London: Collins & Brown.
Origami traditionally uses paper instead of fabric, but many of its folding techniques work just as well in both materials. Some folds are even easier to achieve in fabric, as it is more forgiving than paper – just iron out any mistakes and refold. Folding fabric is quicker than complex piecing and sewing, and is a wonderful way to make quilts more visually interesting by adding three-dimensional effects.

This book is an exciting guide to a wide range of folded fabric techniques, from using origami folds to manipulating with tucks and twists. It begins with a brief history of folded fabric around the world, then covers a range of traditional fabric folding techniques. Basic folding instructions and preparation techniques for the 20 projects in the book are illustrated with clear step-by-step photographs and diagrams. At the end is a handy section with basic techniques for constructing quilts, along with useful contact addresses.

Folding fabric is easy, quick and gives stunning results, so this book will be essential reading for anyone interested in manipulating fabric, whether they are a beginner or just wish to learn new skills.

Miller, D. (1996). Knep med rep och snöre. Stockholm: Berghs.
Bland 34 knep med rep och snöre beskrivs en tredimensionell trådskulptur som görs i hörnet på en kartong.

Millington, J. (1996). Curve stitching. The art of sewing beautiful mathematical patterns. Ipswitch: Tarquin Publications.
Curve stitching is a creative, practical activity with a strong mathematical background. This book explains the technique and there are large colour photographs of a good selection of beautiful designs, with 'stitch-by-stitch' sewing plans. The different families of designs are put into their mathematical context and there are many suggestions for further development. There is also a good collection of computer programs written in Basic. These programs can readily be modified and adapted so that one can find on screen those patterns which will be most pleasing to sew.

Murray, J. (1994). Squares, patterns and quilts. Derby: ATM.
This exciting publication explores shape using designs from American patchwork patterns. Stuck for new ideas in Shape and Space? Looking for a fresh approach to squares and triangles? Want a practical, real context for some maths? Would you like your youngsters to enjoy visual and tactile experiences as well as cerebral ones? This booklet offers a great many practical classroom ideas which will encourage you. Whether you begin with the photocopiable masters provided, follow the instructions for paper folding (on to Origami later?!), or use the LOGO routines listed, you will quickly become fascinated by the patterns you produce. It is full of starting points for classroom activities and comes complete with a set of appendices which include masters for quilts and grids that can be freely photocopied. An ideal resource for cross-curricular work.

Pohl, V. (2002). How to enrich geometry using string designs. USA: NCTM.
This book presents activities developed for grades 6-10 in creating string designs on polygons and polyhedra. They are designed for use as enrichment materials, each having step-by-step instructions and are arranged from easiest to most difficult, and marked accordingly. The pages are punched and perforated. Many activities are followed by related activities to encourage initiative and experimentation. Teacher notes indicate the appropriate grade level, the concepts being introduced, and skills required. Helpful hints and potential hazards are discussed. Figures include: (1) triangles; (2) squares; (3) pentagons; (4) hexagons; (5) tetrahedra; (6) octahedra; and (7) icosahedra. A bibliography is included.

Self, C. & Lensch, T. Crafting: Wood logic puzzles. Three-dimensional games for the hands & mind. Minnesota: Creative Publishing international.
As fun to make as they are to solve! This fun-filled book provides plans and instructions for crafting 18 of the most popular three-dimensional games for the hands and mind. Includes clear explanations and photos for all the techniques you’ll need, complete material and cutting lists, full-color how-to photos, and photos showing the slippery solutions.

Shell-Gellasch, A. (2007). Hands on history – a resource for teaching mathematics. USA: The Mathematical Association of Amerika.
Research shows that students learn best when they actively participate in their learning. In particular, hands-on activities provide the greatest opportunities for gaining understanding and promoting retention. Apart from simple manipulatives, the mathematics classroom offers few options for hands-on activities. However, the history of mathematics offers many ways to incorporate hands-on learning. By bringing this material culture of mathematics into the classroom, students can experience historical applications and uses of mathematics in a setting rich in discovery and intellectual interest. This volume is a compilation of articles from researchers and educators who use the history of mathematics to facilitate active learning in the classroom. The contributions range from simple devices, such as the rectangular protractor, to elaborate models of descriptive geometry. Other chapters provide detailed descriptions on how to build and use historical models in the high school or collegiate classroom.

  • Contains practical advice on how to incorporate hands-on learning in mathematics
  • Shows how to build and use historical models in the school or university classroom
  • Items covered include sundials, planimeters, Napier’s Bones, linkages, a labyrinth and many more

  • Skote, M. (2007). Betong som hobby. Sverige: Prisma.
    Förlagets beskrivning av boken: Tänk bort trista förorter och föreställ dig istället en trögflytande gröt som förvandlas till något formbart, uttrycksfullt och vackert. Fat och krukor, lekskulpturer, vattensprutande lejon eller en trolsk fåtölj. Med betong är möjligheterna till variation oändliga. Betongtrenden har kommit för att stanna.

    Storey, P. (2007). Geometrical quilts. England: Tarquin.
    The world of beautiful mathematical diagrams has been explored by Pat Storey. From the fascinating variety of fractals, spirals and more, she has created a serie of stunning quilts. The book contains patterns and detailed instructions for the making of fourteen small quilts; with diagrams and guidance for the construction of four styles of full-size quilts, using the small quilts as blocks. Many different techniques have been used in the making of the quilts, including strip-piecing, templates, foundation paper piecing and English paper piecing. Although the individual quilts are very different from another, the similarity of boarders and cornerstones gives a visual connection to the group.

    Pat found that many mathematical patterns lent themselves to being made into quilts; and there are many more 'out there' to be found. One reason for her presenting these quilts in book form is the hope that even those who profess to hate mathematics will fall under the spell of the patterns. Whatever the case, there is absolutely no need to understand the theory behind the design in order to enjoy making the quilts. Within the series there is a range of difficulty, from those suitable for competent beginners (that is with some knowledge of techniques) up those for quilters who want to try something more challenging tha usual.

    Svorkmo, A-G. (2004). Matematikk i kunst og håndverk. Ett idehefte for lærere i grunnskolen. Trondheim: Nasjonalt Senter for Matematikk i Opplæringen.
    Ladda ner pdf >>

    Tamina, D (2009). Crocheting adventures with hyperbolic planes USA: A K Peters Ltd.
    With more than 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations.
    From the Foreword by William Thurston:
    “These models have a fascination far beyond their visual appearance. As illustrated in the book, there is actually negative curvature and hyperbolic geometry all around us, but people generally see it without seeing it. You will develop an entirely new understanding by actually following the simple instructions and crocheting! The models are deceptively interesting. Perhaps you will come up with your own variations and ideas. In any case, I hope this book gives you pause for thought and changes your way of thinking about mathematics.”

    Van Delft, P. & Botermans, J. (?). Creative puzzles of the world. USA: Key Curriculum Press.
    Puzzle World contains information about many of the finest handcrafted mechanical puzzles in the world. Most of the puzzles presented here are not the mass-produced variety found in stores, but limited production puzzles designed by the foremost puzzle designers in the world and produced by craftsmen (often the designers themselves) working primarily in wood. However, to provide representative examples of all the different puzzle categories, mass produced puzzles are often the only ones available and will be included. Many of the puzzles are available directly from the designers, craftsmen, in stores or from catalog sales. Some craftsmen have provided information about puzzles they have available on their designer/craftsman page.
    Läs mer >>

    Venters, D. & Ellison, E. K. (1999). Mathematical quilts – no sewing required! USA: Key Curriculum Press.
    Explore the Art of Geometry. Mathematical Quilts contains more than 50 blackline-master activities in which students explore the Pythagorean theorem, Fibonacci sequences, tessellations, tiling, and more. Students improve their visualization skills by learning to analyze and compare relationships among shapes. Mathematical Quilts is divided into thematic sections that group quilts with similar designs: Golden Ratio Quilts, Spiral Quilts, Right Triangle Quilts and Tiling Quilts.
        After a short introduction to each theme, students encounter a series of activities that guide them through mathematics concepts related to the quilt designs. Each section includes research activities, technology activities – even Internet activities! Concluding activities focus on a description and re-creation of each quilt pattern, with an emphasis on the art of the design. Students can also re-create the design by using colored paper or fabric with glue, by drawing on a computer, or by sewing.
        Teacher notes, solutions to activities, and a bibliography conclude each section. Mathematical Quilts easily supplements mathematics courses from middle school to precalculus, and is especially appropriate for geometry students. Use the activities to supplement some topics in the curriculum and to enhance others.

    Venters, D. & Ellison, E. K. (2003). More mathematical quilts – no sewing required! USA: Key Curriculum Press.
    More Beautiful Quilts
    With More Mathematical Quilts, there are even more quilts to dazzle students' minds and reveal the beauty within mathematics. This visual introduction to mathematical objects allows students to explore mathematical art as they gain the skills essential to future success.
        Each of the book's four thematic sections contains guides for recreating the quilts and activities that further develop the mathematical concepts. Students explore important objects – from fractals to shadows of four-dimensional shapes – with their own hands and dynamically engage in visualization and problem solving.

    Kreativ Pedagogik, nr 20, Tema: Spel och matematik.
    Kreativ Pedagogik var en tidskrift som kombinerade kultur och pedagogik. Läsekretsen var förskollärare och låg- och mellanstadielärare. Varje utgåva behandlade ett ämne utifrån ett temaorienterat arbetssätt. Sista numret utkom 1999. Nr 20 innehöll många goda idéer för samverkan mellan slöjd och matematik.


    Bohm, P. (200?). Läder och skinn i slöjden. Idé

    Bohm, P. (200?). Plåtarbete i slöjden. Idé


    Mathematical Quilts Posters.
    A collection of four informative posters depicts the authors' beautiful Fibonacci, spiral, Pythagorean, and tiling quilts.

    More Mathematical Quilts Posters.
    Two informative and attractive posters depict the authors' circle and spatial quilts and their fractal quilts.

    Curve Stiching Poster
    From the designs in the book on Curve Stitching patterns, some twenty beautiful examples of curve stitching have been selected to create a colourful poster. If practical work on this topic or project is to be introduced into any mathematics classroom, then this poster will serve as a useful background resource and a source of inspiration on "equation curve ".


    • Ehrnborg, H. (1980). Vi täljer i Nämnaren. Nämnaren 1980:2, 22–25.
      Sök i Nämnarens artikelregister >>
    • I den numera nedlagda tidskriften Slöjdforum förekom artiklar där slöjd har anknytning till matematik. Ett exempel är nr 5, 2006 där artikeln Sverige – ett tumstocksland finns. Vi har fått lov att scanna och lägga ut artikeln här. Läs artikel >>
    • Den engelska tidskriften Infinity (som nu tycks vara nedlagd) hade ibland artiklar med slöjdanknytning. I nummer 2, 2005 finns artikeln Logaritmic Lace som handlar om knypplade spetsar som får ett annorlunda utseende med hjälp av logaritmer.

    Uppsatser och rapporter
    Lärares upplevelser av möjligheter till ämnessamverkan i matematik och textilslöjd inom grundskolans år 1–6. Kajsa Rönnqvist, Linköpings universitet, Lärarprogrammet, 2005.
    Ladda ner uppsats >>

    Räkna med textil, Susanne Björkdahl Ordell och Gerd Eldholm
    Rapport från Institutionen för pedagogik / Högskolan i Borås, 1404-0913 ; 2003:1

    Innehåll: LT