2004 IAS/Park City
Mathematics Institute
HIGH SCHOOL TEACHER PROGRAM (HSTP)
Description of
Working Groups
Data Analysis, Statistics and Probability
This group will develop
lessons that use technology, such as the statistical software FATHOM, as a tool
for understanding the mathematics and the application of mathematics in
contexts that require data analysis and statistical concepts. The goal
is to produce lessons, describe teaching strategies, or present an issue
related to the mathematics content at different mathematical levels from
beginning algebra to Advanced Placement Statistics.
Geometry
Participants
will consider one or more rich geometry topics from multiple mathematical and
pedagogical perspectives with special emphasis on "hands-on
investigations," model building, dynamic software, and other active
approaches. From this work, the group will create lessons, activities,
or discussion documents that relate to the classroom and geometrical
investigations.
Japanese Lesson Study
Lesson study, Jugyoo Kenkyuu, is a professional
development activity that is at the heart of much of the professional
development for teachers in Japan. In this group, participants will
select a daily goal for a "study lesson," spend an extended period
of time collaboratively creating a detailed lesson plan, observe a participant
teach the lesson to students, participate in a colloquium to discuss the
lesson, and revise and refine the lesson to share with others.
Combinatorics
This working group will examine problems and
ideas related to the morning mathematics class. Participants will
consider in greater depth how "counting without counting," can
enrich many areas of classroom mathematics with combinatorial problems solving
and reasoning, as well as exploring applications to technology and science.
Functions
Participants will explore selected functions
from multiple perspectives. Functions of interest may include
polynomials and trigonometric functions, but also matrix functions and
geometrical transformations. One possible topic would be the use of
computer algebra systems to work with functions, and how these can support or
hinder learning. For this topic teachers could study relevant research,
design and evaluate lessons based on this study, or discuss implications for
their own work with students.
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