On December 21, Kim Mackey posted a message to NCTM-L entitled "De Jure and De Facto Standards," calling on the mathematics education community to take seriously the opinions offered by critics of the NCTM Standards.
This ongoing thread addresses such topics as traditional exams vs. portfolios, the need for a parent education component, calculators in the classroom, and the anticipated reshaping of the Standards.
You can follow this and other lively discussions on the NCTM-L mailing list in the Math Forum archive, updated daily:
Twenty problems from the Russian Math Olympiad competition of St. Petersburg and 28 from Vologda, Russia, are recent additions to the Math Forum.
- from St. Petersburg:
In a country there live 'knights' and 'knaves.' The 'knaves' always lie and the 'knights' always tell the truth - unless they make a mistake. 1995 knights and knaves are sitting around a table. Each says that he is sitting between a knight and a knave, but two knights are mistaken. How many knaves are seated at the table?
A chess tournament involves only experts and grand masters. The number of experts is three times the number of grand masters. Only one game is played between each pair of players, with 1 point being awarded for a win, 0 points for a loss, and 1/2 point for a draw. The sum of the points of all the experts is 1.2 times greater than the sum of points of all the grand masters. How many participants does the tournament have?
"What are vectors? I have seached all over the Internet for an answer and my project is due in less than two weeks!"
Gene Klotz, the Director of the Math Forum, has written a Web unit called INTRODUCTION TO VECTORS, featuring sketches and pictures designed to help students in their first encounter with this subject.
Web-based text and graphics are enlivened by the use of The Geometer's Sketchpad, as Dr. Klotz explores Sketchpad's possibilities for unveiling, animating, and tabulating, in addition to its dynamic capabilities.
Directions for downloading and setting up a demo version of the software are provided so that students can enjoy exploring this interactive presentation.