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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 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, Jugyuu 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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