Observer's
Notes
First Projects
-
When students started to work on projects, the two boys rushed to work
on the computer. One in particular came up with a construction that really
let him use the power of the computer to explore the design space of symmerty
in two mirrors. Two girls started working more slowly, but quite productively.
The other three girls seemed to have more difficulty. They chose to work
in other media (mostly colored pencils) and seemed to mostly be sketching
aimlessly. One girl quickly produced a schoolish exercise in response to
the problem and then seemed bored. My sense is that in many ways the traditional
media were not as provocative an environment as the computer (although
folding and cutting might work better than drawing), it was good to have
them available, so students did not feel forced onto the computers.
-

Design with mirrors
-
-
The energy level began to fade toward the end of the first project session,
and some of the usual issues of students finishing at different times made
for a somewhat abrput and arbitrary ending as I called the gourp back together
for gallery time. Same problems of students being reluctant to speak, but
little difficulty in bringing out the idea of "focus" in the various pieces.
-
-
I thought that the escher pieces were not as successful as I had expected
in showing mirror symmetry. I think it was a mistake not to include an
obvious and interesting example that WAS prefectly symmetric. Also, the
idea of "playing with symmetry" seemed lost on the students. The Escher
sphere picture did communicate the idea of focus quite nicely.
-
-
Lunch was fine--a little more formal than at the last workshop, and a little
less comfortable, especially for me. These students seemed more reserved--as
if they were better at playing the school game and less willing to abandon
their vision of me as a teacher. I think that in the first workshop my
contact with at least some of the students over a period of time (months)
before the workshop helped break down some of these barriers. But I also
think that these students were just more savvy and cynical in some ways.
-

Back
to the Mathematics Studio
Structure
of the Workshop
Exploration
Activities
First
Projects
Final
Projects
Back
to Escher's World