SCHEDULE

Mtht 480

This schedule provides a general course outline, but is not definitive.  It will change over the course of the semester.

  1. Introduction to symmetry; symmetries of the alphabet; Kali; Frieze patterns
  2. Introduction to transformations with Tangram; combining reflections with the Geometer's Sketchpad; combining transformations; TesselMania! and plane patterns
  3. More Geometer's Sketchpad, a reflection exercise, and a tesselation web site
  4. 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.
  5. How to use a spreadsheet and a spreadsheet exercise; "What is the Relationship" data analysis exercise (taken from the Internet Activites for Math sourcebook.)
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. Finishing touches on homepages and posting of homework. Review of Logo homework. Write a Logo angle estimation program, and learn more about Logo.
  12. Peer review of symmetry lessons, Logo and p/q-gons. Amy Roche speaks on email, mailing lists, archives and discussion groups.
  13. Logo recursion, fractals, and course evaluations.
  14. 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.

  15. Final Project Presentations:
    Gina Gomezdelacasa
    Mary Diaz -- The Geometer's Sketchpad
    Vincent Blake
    four guest speakers