Free PDF Making Math Meaningful: A Source Book for Teaching High School Math, by Jamie York
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Making Math Meaningful: A Source Book for Teaching High School Math, by Jamie York
Free PDF Making Math Meaningful: A Source Book for Teaching High School Math, by Jamie York
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The Source Book for Teaching High School Math is the best book yet by international Waldorf math consultant and master teacher, Jamie York. It took Jamie York 30 years to develop and test all the material in his popular Waldorf math curriculum. In this high school curriculum, he has boiled the topics down to the essentials, and added on the most awe-inspiring material you can bring into your classroom. Jamie York emphasizes a healthy balance between developing skills and having mathematical experiences. He covers the standards (trigonometry, Cartesian geometry, logarithms, etc.,) as well as main lesson material and less well-known topics. The Source Book for Teaching Waldorf High School Math includes: •Practical advice for teachers •Math curriculum overview •Al-Khwarizmiʼs Algebra •Possibility and probability •Greek geometry main lesson •Amazing proofs (more than 50) •Handouts for students •Descriptive geometry •Euclidʼs Elements •Surveying •Sequences and series •Math and music •Descartes main lesson •i as an exponent •Projective geometry •Calculus main lesson •Philosophy of math ... and much more! It is an essential teacherʼs companion for our making Math Meaningful series Waldorf high school math workbooks.
- Sales Rank: #1435717 in Books
- Published on: 2015
- Binding: Paperback
- 235 pages
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An Indispensible Resource for Teaching HS Math!
By Brian Robert Gleichauf
I have been teaching math in Waldorf schools for 12 years, and in public schools for 3 years prior to that. When I began my Waldorf training in 2005, I encountered Jamie York as a teacher and mentor in that program. Since that time, I feel I have been consistently enriched, challenged, and enticed as a math teacher through Jamie’s Source Book material. This book is chock-full of amazing, invigorating mathematics. Unlike modern math textbooks, Jamie writes and explains mathematical puzzles and problems just up to a certain “jumping off point,” then expects the teacher to actively engage with the material. Time and time again, I have read a rich nugget in Jamie’s Source Book, which has led me to do further investigation on my own. The joy of math is in discovery, and Jamie’s work has allowed me, as a math teacher, to do just that. In turn, I can create situations where my students also have the opportunity to create and discover mathematical wonder.
The Source Book contains an amazing array of material, and types of mathematics. Beginning with some brief introductory commentary that is well worth reading (“Today’s Challenge”, “Thoughts on Teaching Math”, “Will our Students Be Prepared?” are a few subtitles), the book is organized by grade level (9th-12th) based on Jamie’s experience and research of teaching these subjects. In Waldorf schools, every attempt is made to teach subjects developmentally, i.e. the right topic at the right age. Math education has often been an exception to this approach: even in Waldorf schools, it’s often thought to be OK to allow students to learn math at their “natural pace.” This leads to, for example, teaching algebra to 6th graders in an intensive way. Yet, reading Jamie’s thoughts and working with his material has made me a believer that, for example, there is absolutely no rush to teach Cartesian coordinate graphing before late 10th grade (buy the book to read more, page 9). Rather, Jamie advocates for introducing and working with a much wider range of mathematics than is normally attempted. Examples include: Possibility and Probability, and Descriptive Geometry in 9th grade; Circle and Triangle Geometry, Mensuration, and Sequences and Series in 10th Grade; and Projective Geometry, Complex Numbers and Polarity in 11th and 12th grade. Jamie has included sufficient challenge within each math area of study to keep the most advanced students joyfully engaged, while allowing the “regular” student to also experience the joy of mathematics without shutting down. Jamie’s book includes an entire unit on Descartes and his geometry; another on Cantor, Hilbert, Russel, G�del and modern mathematical philosophy; another on the development of Calculus. It includes mathematics from Plato to Euclid to Archimedes, Al-Khwarizmi to Galileo to Newton and Liebniz . . . the whole gamut of human endeavor in mathematics is represented here. In each new study, the goal is to engage one’s mind in the same mathematics that occupied the minds of the greatest mathematicians that have ever lived, and thereby to experience the same awe and wonder that they experienced!
Mathematics as an educational subject has been severely crippled by several onuses inappropriately placed upon it: as a litmus test for the “truly gifted” student; as an excuse to label and stratify students according to perceived natural ability; as a discipline whose only justification is in service of engineering and technological achievements. But, working with Jamie’s book reveals the truth: math is an art form, to be practiced and enjoyed, possibly the most sublime art form ever invented. This Source Book is for the teacher of mathematics who has a true love of her/his subject matter, and wants to continuously enhance his/her ability to transfer that love to her/his students. This Source Book will deliver for years and years to come, with new mathematic challenges to explore and enjoy! I strongly recommend Jamie’s High School Source Book as an indispensible resource for all teachers of mathematics!
Brian Gleichauf, Math Teacher
Tamarack Waldorf School, Milwaukee, WI
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