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Lawrence Edwards

Softbound

$40.00

The exercises in this book reveal the secrets of space. With over 200 instructive diagrams, Lawrence Edwards presents a clear and artistic understanding of the intriguing qualities of non-Euclidean geometry.

The elements of geometry are points, lines and planes, together with Space and Nothing. In Euclidean geometry, we observe these as if we are point-centered beings concerned with extensive measurement. In non-Euclidean, or projective geometry, we are ‘planar’ beings observing spatial relations, free of measurement, as dynamic and transformational. According to the author, this is a polar opposite vision of intensive space, and it reveals remarkable secrets. Edwards invites the reader to discover these secrets through practical exercises in creative geometry.

The Imaginative Treatment of Geometry in Waldorf Education

A. Renwick Sheen, Ms.C. (Tech.)

edited by David Mitchell Newly revised edition

Softbound

$24.00

Geometry was my favorite of all math subjects – in large part because I was taught through drawing and proofs, not through the formulaic method that seems to be so popular right now. Mr. Sheen bases his exploration of geometry on the tenet that experience through drawing is of great value to a student, and I couldn’t agree more. His method of presentation is concerned with experience through drawing, which leads to a stimulation of the child’s imagination and understanding of logical relationships. This book is particularly valuable for teachers of grades 6-8 and is richly illustrated. New revised edition.

A Primer of Basic Forms for Artists, Designers and Architects

Jon Allen

Softbound

$25.00

Teachers, parents, artists and design professionals can all find something to love in Jon Allen’s Drawing Geometry. Here, in clean, clear drawings with step-by-step instructions, are the secrets of constructing a myriad of plane geometric forms. If you’ve never had the joy of discovering how a compass can transform paper and pencil into blossoming flowers of form, this book will introduce you to the magic and wonder of it all. If you’ve already mastered geometric construction, you’ll love Allen’s book even more – here in one volume lie the keys to the kingdom.

Truly a delight – do enjoy, whether with your students or for yourself!

For the Upper Elementary Grades

Ernst Schuberth

Softbound

$16.00

This is a beautiful introduction to the harmony and wonder of Pythagorean geometry which, to my my way of thinking, is a way of understanding the paths of accurately knowing truths that are present just below the surface of immediate perception. I just love it (and do wish I felt the same way about algebra, honest!).

Schuberth’s presentation is fresh, lively and artistically wonderful. I can’t imagine a student not discovering one thing after another to be interested in and pursue, this is just so packed with the spirit of joyful discovery. Teachers and parents who use it to guide their middle school students along the pathways of geometric proof will be offering them a lifetime of of interest in logic and spatial relationships. This book is a gift.

Contents:

  • Foreword
  • Introduction
  • Angles in Regular Polygons
  • Triangles
  • The Right Triangle and the Circle: The Theorem of Thales
  • The Rules of the Right Triangle
  • The Principles of Congruence and Basic Assignments Using the Triangle
  • The Important Lines of a Triangle
  • The Platonic Solids
  • Teaching Projection and Shadow Drawing in the Upper Elementary Grades
  • Geometry and Mineralogy
  • Outlook
  • Endnotes
  • Bibliography

Algebra II, Precalculus, Calculus, Statistics

Andrew Starzynski and Jamie York

Paperback

$30.00

Designed to be used with the High School math curriculum, A Source Book for Teaching High School Math, this Teacher’s Edition of the 11th & 12th Grade Math Workbook is an all-in-one book for the teacher and contains:

  • Thoughts on teaching Waldorf math in 11th & 12th grade
  • Commentary on each of the units in An 11th and 12th Grade Workbook
  • The units from An 11th and 12th Grade Student Workbook
  • The Answer Key to Our 11th and 12th Grade Workbook

Each of those components can also be purchased separately for your convenience.

Why a combined 11 and 12th Grade Workbook? This workbook is designed to be used by either an advanced or a regular math track class. The two calculus units are intended for an advanced class, while the two statistics units are more designed for a regular math class. With the exception of the statistics units, an advanced math class ought to be able to work through most of this workbook over the course of the eleventh grade year and the first half of twelfth grade. A regular math track class in eleventh or twelfth grade can simply pick and choose from the many units in this workbook and from units in the second half of the 10th Grade Workbook, such as “Exponential Growth,” “Sequences and Series,” or “Math and Music”).

The units covered in this workbook are:

  • Cartesian Geometry Part I
  • Trigonometry Part II
  • Complex Numbers Part I
  • Cartesian Geometry Part II
  • Possibility and Probability Part II
  • Trigonometry Part III
  • Cartesian Geometry Part III
  • Logarithms Part III
  • Complex Numbers Part II
  • Trigonometry Part IV
  • Cartesian Geometry Part IV
  • Calculus Part I
  • Calculus Part II
  • Statistics Part I
  • Statistics Part II
  • Problem-solving Exercises

332 pages, 7″ x 9″, 2015.

Geometry and some Algebra II

Andrew Starzynski and Jamie York

Softbound

$5.00

Originally $18.00 –

After a full year of algebra studies, the student enters tenth grade ready to take a big step forward: learning how to write deductive proofs.  There is a great variety of topics to be explored in this workbook.  While it is possible to cover most of these topics in the tenth grade year, a class may instead spend most of the year on the geometry topics, and then perhaps return in eleventh grade to a couple of the topics found in the second half of this workbook.  Either way, this workbook promises to increase the students’ sense of wonder at the power and beauty of mathematics.

The units covered in this workbook are:

  • Geometry Basics
  • Circle Geometry
  • Triangle Geometry
  • Proofs!!
  • Mensuration
  • Algebra Review
  • Logarithms, Part II
  • Exponential Growth
  • Sequences & Series
  • Math & Music

Elizabeth Zimmermann's Garter Stitch Designs

Hardbound

Beautifully illustrated with color photos and Elizabeth's drawings and notes

$32.00

This is simply the best collection of interesting, simple-to-knit, classic family knitting anywhere, and as such deserves a very warm place among our other books.  For beginning knitters and master knitters alike, you and your family can knit happily together and emerge with beautiful, useful clothing that teaching something about construction and technique at each and every step.  But mostly, this knitting is really fun and really engaging without being at all taxing – what could be more perfect to share with every member of the family?

Knit One Knit All is a love fest you can knit – and a beautifully scrumtious book to boot!  Seeing all of Elizabeth’s garter stitch designs in one place, beautifully photographed and with patterns and asides so nicely described is just about as good as it gets for anyone interested in knitting, in clothing construction, or even just in the wearable nature of geometry.

It is also a fantastic tour through the mind of a remarkably creative knitter and the woman I consider to be the Godmother of Modern Knitting.  Although I’ve read every one of Elizabeth’s books and even all her old newsletters from my subscription “way back when,” putting her garter stitch designs all in a single volume  shines a light on Elizabeth’s creative process as it developed over the course of her life. 

It also offers up an inexhaustable menu of things to knit and love.  You’ll find 39 different garments – hats, mittens, gloves, socks, booties, slippers, baby things of all description, vests, sweaters and jackets.  Each is wonderfully different from the rest, with innovative construction at every step. And each will set your fingers a-tingle with the urge to pick up your needles and knit

Knit One Knit All is a treasure and on the must-have list for anyone who loves knitting.

Harry Kretz

Softbound

$7.95

Harry Kretz has taught geometry in Waldorf schools for many years, pondering why the study of points, lines, planes, and three dimensional forms so powerfully holds the students’ interest and desire for further exploration.

Moses wrote that God created man, a living soul. Plato wrote that God geometrizes. If the sould is thought of as the threefold principle of life – thinking, feeling, and action – and the triangle is a form with three sides, is there a connection? The author’s dream experience seems to say ‘yes.’

A fascinating exploration – full of things to ponder. I’ve had a few “geometric” dreams in my life (many years ago now) – I still remember them vividly. They were among the handful of dreams I’ve had where I felt myself immersed in understanding, where things were explained that I couldn’t quite “get” in broad daylight. Almost uniquely, this understanding stayed with me after waking, and is with me now. Harry Kretz had many more such experiences — I think his sharing of them can offer much which enriches.

Sacred Geometry, Sacred Space

Gordon Strachan

Softbound

$30.00

Chartres cathedral in France is one of the most important and popular sacred sites in Western Europe. The Rev. Strachan·s new study examines the spiritual geometry of the church and suggests its significance is connected to an ancient combination of pagan worship, earth energies and the mystical harmony of Christian and Islamic architecture. Highly recommended.

·The Cauldron, August 2003

In this ground-breaking new work, Gordon Strachan explores the magnificent structure of Chartres Cathedral and its influences on the medieval master builders.

Using Chartres as a starting point, Dr. Strachan shows how the origins of the Gothic style·the pointed arch·may lie in Islamic architecture. He goes on to a fascinating and detailed consideration of how a particular architectural space affects us, and how sacred geometry creates sacred space.

A Program of a Waldorf Grade School Teacher

Eric K. Fairman

$21.00

Please see the blurb for Volume 1: Grade 1 for my very enthusiastic review of Eric Fairman’s terrific work!

The Contents of Vol. 7 – Grade 7 are:

  • Introduction – The Thirteen Year Old; Geometry – Ancient Greece, Thales, Pythagoras, Secrets of the Brotherhood, Measure of Gold;
  • Chemistry – Introduction, Alchemy to Chemistry, Combustion, Acids and Bases, Salts, Aqua Vitae, The Four Elements, Additional Combustion Experiments;
  • Physiology – The Miracle of Life, Reproductive System, Respiratory System, Circulatory System, Nerve/Sense System, Metabolic System, Drugs and Addictions;
  • Physics – Introduction, Acoustics, Optics, Heat, Electricity, Mechanics, Equipment Required;
  • Verse and poems;
  • Children’s Reading List;
  • Bibliography;
  • The Morse Code;
  • Physiology Assessment;
  • Physics Assessment.

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