About the Workshop
DAY OF EACH WORKSHOP
Site Investigation: GETTING READY
60 minutes of doing math problems, discussion and activities
to prepare you for the workshop video
60 minutes of video, divided into two parts with each part
including a focus question
Participants should stop the video for discussion at the end of each part.
Site Investigation: GOING FURTHER
30 minutes of discussion and activity to wrap up the workshop
Note: Episode Boxes contain a brief description of a particular
video clip and a related question(s).
an exercise or activity that ties into the previous workshop
or prepares you for the next one
an introduction to the next workshop
a reflective journal for keeping track of reactions to readings
and videotapes, collecting and reflecting on data, and recording
teaching ideas for yourself
This Web site http://www.learner.org/workshops/pupmath/
a place to go for additional activities, resources, and discussion
an opportunity to communicate with other workshop participants
Included in the materials
for each workshop you will find detailed instructions for
the content of your Getting Ready and your Going Further Site
Investigations. The following hints are intended to help you
and your colleagues get the most out of these pre- and post-video
Designate a facilitator.
Each week, one person should be responsible for facilitating
the Site Investigations (or you might select two people
one to facilitate Getting Ready, the other to facilitate Going
Review the Site Investigations and bring the necessary
Be sure to read over the Getting Ready and Going Further
sections of your materials before arriving at each workshop.
The Site Investigations will be the most productive if you
and your colleagues come to the workshops prepared for the
discussions. The weekly readings and homework assignments
also provide for productive and useful workshop discussions.
A few of the Site Investigations require special materials.
The facilitator should be responsible for bringing these when
Record your discussions.
We recommend that someone take notes during each Site Investigation,
or even better, that you make an audiotape recording of the
discussions each week. These notes and/or audiotape can serve
as "make-up" materials in case anyone misses a workshop.
Share your discussions on the Internet.
The Site Investigations are merely a starting point. We encourage
you to continue your discussions with participants from other
sites on the discussion
area of this Web site.
Paper, pens or markers
You will need paper and pens or markers for preparing solutions
to the problems. If you are a large group, you may want to
have an overhead projector, blank transparencies and pens
for participants to use for sharing solutions.
Unifix® or other snap cubes
Each participant will need about 100 cubes (50 of each
of two colors) to complete the homework assignment for
Workshop Two. Although not essential, sharing and discussing
solutions will be much easier if everyone is using the same
two colors. If this is impossible, sets of cubes need to be
made up for each participant to use with two colors that can
be designated as "light cubes" and "dark cubes" when their
solutions are discussed. If Unifix® cubes are not available,
use the "cut-out cubes" sheet included with the packet at
the end of Workshop
1. You can also use the online version in the Towers Problem Web
Unifix® or other snap cubes, or cut out cubes (see
Pascal's Triangle handout (included in the print
You will need at least two copies of Muybridge's cat photographs
on 11x17 paper (one copy is included in the print
materials) and on transparencies, metric rulers (clear
plastic ones work best), graph paper, a calculator (graphing
calculator if possible), and pens or markers for preparing
solutions to the problems. You will also want to have an overhead
projector, blank transparencies and pens for sharing solutions.
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