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IAS/Park City Mathematics Institute
HIGH SCHOOL TEACHER PROGRAM (HSTP)
Description of Working Groups
New: Understanding
Functions -- Connections to the PCMI Theme
The PCMI mathematical
theme for 2003 is Harmonic Analysis. This
working group will explore the theme in the context of the High School
Teacher Program's morning mathematics session. Participants will
design activities that can
be useful in helping students understand functions by breaking them up in various ways, including
considering a series of trigonometric functions.
New: Mathematics in the Middle Grades
This
group will identify areas in middle grades mathematics that are
particularly problematic and design some interventions that could be
useful for teachers and for students in developing a better
understanding of the concepts.
Data analysis, statistics and probability
This group will develop 1-3 lessons that use the
statistical software FATHOM as a tool for understanding the mathematics and the
application of that mathematics in contexts that require data analysis and
statistical
concepts. The goal is to write lessons of outstanding caliber, having deep
mathematical content but also accessible at lower levels. It is hoped that variations of
these activities will be used from beginning algebra to AP Statistics. The work of
summer 2001 will be field-tested by the group participants in their classrooms during the
2001-2002 school year. In the summer of 2002, the project will be critiqued and fine-tuned
for wide spread dissemination.
Physics in the mathematics curriculum
Participants will select instances in which physics can be
used to illustrate and explain mathematics. They will develop brief lessons for use at the
high school level based on these applications of physics to mathematics.
Geometrical concepts from constructions, models,
and investigations
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, an other active approaches. From this
study, the group will create 1-3 lessons that include classroom activities and
explanations of the mathematics.
Japanese lesson study
Jugyuu Kenkyuu: Japanese lesson study. Participants select
a 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.
Math
Specialists/Supervisors
This working group will be composed of the High School
Teachers Program participants who are district or state math specialists/supervisors. The
group will to asked to critique the PCMI professional development model from the school
district perspective. It will be charged with developing adaptations applicable to state
or district math professional development programs. This
group will meet for the first week only of the PCMI Summer Session.
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