SCHEDULE
Mtht 480
This schedule provides a general course outline, but is not
definitive. It will change over the course of the semester.
- Introduction to
symmetry; symmetries of the alphabet;
Kali; Frieze patterns
- Introduction to transformations
with Tangram;
combining reflections with the Geometer's
Sketchpad; combining transformations; TesselMania! and plane
patterns
- More Geometer's Sketchpad, a reflection exercise, and a tesselation web site
- Sketchpad reflection activity. Tracy Phillips presents Sketchpad
activities from her own classroom. Discussion of defining, creating
and classifying quadrilaterals. A quick look at the Mallard computer teaching
system.
- How to use a spreadsheet and a spreadsheet
exercise; "What is the Relationship" data analysis exercise (taken
from the Internet Activites for Math sourcebook.)
- Dalia Garcia talks about her experience working with elementary
students. A reflection that takes a point to another point. The box
problem and using spreadsheets with Sketchpad. Browsing internet Ed. sites.
- Beth Pollock demonstrates the spreadsheet tutorial program
Cruncher. Two reflections take a pair of points to another pair of
points. Modulo arithmetic -- classification by remainder and a Math
Forum module on Coloring
Multiples in Pascal's
Triangle. (Aarnout Brombacher has created an
automated version of this exercise using Visual Basic and Excel.)
Read Section One of the Internet
Seminar slideshow.
- Triangles and MIRAS. Review of homework question 1. A web-based
lesson. Create a UIC
computer account on icarus, if you do not have one already. Read
selected sections of District 97's Internet
Tutorial, but do not answer the email questions. First Session:
5-15 min.; Second Session: 10-30 min.; Fourth Session: 5-15 min.;
Fifth Session: 10-20 min.
- Triangulation; any transformation can be written as the product of
at most three reflections. Web
publishing at UIC and using telnet. View samples of other peoples' personal web pages and
create
and publish your own web page.
- Review of the proof assigned for homework and Publishing personal web pages. Scanning
pictures and a quick tutorial on using
Netscape Composer to create web pages. Some art to put on your
pages. Download and install UCB
LOGO and glance through its user
manual (read Entering and Leaving Logo then skip to Turtle and
Window Control); introduction to Logo.
- Finishing touches on homepages and
posting of homework. Review of Logo
homework. Write a Logo angle estimation
program, and learn more about Logo.
- Peer review of symmetry
lessons, Logo and p/q-gons. Amy Roche speaks on email, mailing lists,
archives and discussion groups.
- Logo recursion, fractals, and course evaluations.
- Final Project Presentations:
Silvia and Sonia Rodriguez
Amy Roche -- Online Math "Help" Facilities
Dalia Garcia and Justine Bieniek -- Computers and the NCTM standards
Beth Pollock -- CampOS Math
Tracy Phillips
Discussion of math
computer games and evaluation of Math Blaster.
- Final Project Presentations:
Gina Gomezdelacasa
Mary Diaz -- The Geometer's Sketchpad
Vincent Blake
four guest speakers