HS 226 Subject Seminar (Level II/III): Mathematics

Credits: 2

Faculty: Jamie York

__I Projected Learning Goals and Objectives__:

To develop a deep understanding of the nature of mathematics; to learn how mathematics can aid adolescent development; to learn how to work with and develop a comprehensive mathematics curriculum; and to develop the ability to work effectively in a Waldorf school.

__II Overview of Course Content and Methods__:

The following topics will be included:

- The high school math curriculum and its relationship to adolescent development
- The history of mathematics and its relationship to the evolution of consciousness.
- Specific details for the teaching of the following topics may include (depending upon the year):

- Heron’s Proof
- The Geometry of Descartes
- An introduction to trigonometry
- Calculus (main lesson)
- 12
^{th}grade math track class (both advanced and regular sections) - The works of Archimedes
- Surveying
- Descriptive Geometry
- Imaginary/complex numbers
- Word problems and problem solving

- Various aspects of teaching high school math, including:

- Remedial needs, and working with slower-paced groups
- Various aspects of a Waldorf main lesson book
- How to introduce a new topic
- How to design an effective lesson plan
- All aspects of homework
- Assessment, testing, and report writing
- What does it mean to teach “artistically”?
- How can we find balance in our own lives as professional teachers?
- Classroom expectations, discipline and decorum
- Differences between teaching each of the grades 9 through 12

- The study of the following books/essays

- Euclid’s
*The Elements*, Book I - Karl Stockmeyer,
*Steiner’s Curriculum for Waldorf Schools* - Rawson and Richter,
*The Educational Tasks and Content of the Steiner Waldorf Curriculum* - George Adams,
*Physical and Ethereal Spaces* - Paul Lockhart,
*A Mathematician’s Lament*(essay)

- Mathematical activities and problem solving experiences.
- Current issues and trends in mainstream mathematics education.