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)
- 12th 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.
