I designed this
portfolio for multiple purposes and viewers. Your interests should determine
how you navigate the portfolio. I have styled it after an artist’s
portfolio: the main portion consists of ten “snapshots,”
each of which might be examined for minutes or hours. These snapshots
are also linked so that you need never return to this page. As the choices
at this stage might seem a bit overwhelming, there are links to five
teaching “problems” or questions
that I have addressed in this portfolio. Chasing each of these links
leads to a page with frames that will provide you with one path to follow
through the portfolio. My suggestion, however, would be to start with
one of these paths and then follow your interests.
I see my portfolio
as a combination of three purposes of course
portfolios outlined by Pat Hutchings (1998):
- A vision
of the possible: I designed the mathematics capstone course
I teach, and I feel that I have captured a possible vision of what
such a capstone course for secondary education majors can do. I hope
that others will look at my portfolio and find it helpful in designing
their own capstone courses for their students.
- An aid
to memory: This portfolio documents the fourth time I taught
the capstone class. Each time the course has been quite different,
although the students are not so different from term to term. What
I have found is that when I prepare the course each term, I only remember
some of what went on, not all. I hope that as I teach the course again
in the fall term of 2001 that I will be able to use this portfolio
to help me remember key issues.
- An occasion
to investigate student learning: In the spring of 2000 I
was named a Carnegie Fellow of the Academy for the Scholarship of
Teaching. As part of this fellowship, I wanted to investigate how
certain portions of the capstone class affected student learning.
Parts of this course portfolio contain the details of my investigation.
Indeed some of the results of the investigation will be presented
for more on how to use this portfolio)