Crafting by Concepts

B9781568814353

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9781568814353
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Crafting by Concepts: Fiber Arts and Mathematics

Editors: Sarah-Marie Belcastro & Carolyn Yackel

From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

Sarah-Marie belcastro and Carolyn Yackel earned their Ph.D.s in mathematics from the University of Michigan. Carolyn Yackel is an Associate Professor in the mathematics department at Mercer University in Macon, Georgia, specializing in connections between mathematics and art. Sarah-Marie Belcastro is a Research Associate at Smith College in Northampton, Massachusetts.

Table of Contents

Introduction: Welcome Back

  • Prologue
  • Chapter Structure
  • Research Update
  • A Note for Educators
  • How to Use This Book
  • Conclusion

Knit Knit Revolution

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting Revolutionary Hats

Generalized Helix Striping

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting a Helix Striped Spiral Nightcap and Bed Socks

A Knitted Cross-Cap

  • The Math and Motivation behind the Pattern
  • Crafting the Knitted Cross-Cap

Fashioning Fine Fractals from Fiber

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting the Sierpiriski Triangle

Diaper Patterns in Needlepoint

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting the Symmetry Cube

Group Actions in Cross-Stitch

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting the Two-Color Symmetry Sampler

Perfectly Simple: Squaring the Rectangle

  • The Math and Motivation behind the Pattern
  • Crafting Perfectly Simple

Spherical Symmetries of Ternari

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting Three Temari Balls

Quilting Semiregular Tessellations

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting Semiregular Quilts

About the Contributors
Credits
Fiber Arts Bibliography
Index

Product Details

  • Hardcover: 264 pages
  • Publisher: A K Peters/CRC Press; 1 edition (March 24, 2011)
  • Language: English
  • ISBN-10: 1568814356
  • ISBN-13: 978-1568814353
  • Product Dimensions: 8.2 x 0.8 x 9.5 inches
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MSRP: $160.00
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Description

Crafting by Concepts: Fiber Arts and Mathematics

Editors: Sarah-Marie Belcastro & Carolyn Yackel

From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

Sarah-Marie belcastro and Carolyn Yackel earned their Ph.D.s in mathematics from the University of Michigan. Carolyn Yackel is an Associate Professor in the mathematics department at Mercer University in Macon, Georgia, specializing in connections between mathematics and art. Sarah-Marie Belcastro is a Research Associate at Smith College in Northampton, Massachusetts.

Table of Contents

Introduction: Welcome Back

  • Prologue
  • Chapter Structure
  • Research Update
  • A Note for Educators
  • How to Use This Book
  • Conclusion

Knit Knit Revolution

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting Revolutionary Hats

Generalized Helix Striping

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting a Helix Striped Spiral Nightcap and Bed Socks

A Knitted Cross-Cap

  • The Math and Motivation behind the Pattern
  • Crafting the Knitted Cross-Cap

Fashioning Fine Fractals from Fiber

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting the Sierpiriski Triangle

Diaper Patterns in Needlepoint

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting the Symmetry Cube

Group Actions in Cross-Stitch

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting the Two-Color Symmetry Sampler

Perfectly Simple: Squaring the Rectangle

  • The Math and Motivation behind the Pattern
  • Crafting Perfectly Simple

Spherical Symmetries of Ternari

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting Three Temari Balls

Quilting Semiregular Tessellations

  • Overview
  • Mathematics
  • Teaching Ideas
  • Crafting Semiregular Quilts

About the Contributors
Credits
Fiber Arts Bibliography
Index

Product Details

  • Hardcover: 264 pages
  • Publisher: A K Peters/CRC Press; 1 edition (March 24, 2011)
  • Language: English
  • ISBN-10: 1568814356
  • ISBN-13: 978-1568814353
  • Product Dimensions: 8.2 x 0.8 x 9.5 inches

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