NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS
Articles
PRESIDENT'S CHOICE 4 "Why Study Mathematics"
by F. L. Wren
Selected by Glenda Lappan
14 The Surfer Problem: A "Whys" Approach Larry Copes and Jeremy Kahan
20 Dandelin Spheres Stan Izen
30 A Little Competition Goes a Long Way:
Holding a Mathematical Modeling Contest in Your Classroom
Mika Munakata
60 Card Folding: An Investigation with Limits David L Pagni
64 A Little-Used Art of Teaching:
The Case of Storytelling
David E. Meel, Deborah Gyurko, and Michelle Gaspar SHARING TEACHING IDEAS
75 A$$e$$ing Effort: Earning a "Salary"
Bruce W. Frahm
Departments
3 From the Editorial Panel Looking Back, Looking Ahead
10 Reader Reflections
13 Call for Manuscripts for the 2 0 0 8 Focus Issue:
Data Analysis and Probability
24 Call for Articles for the Seventy-first NCTM Yearbook (2009): Understanding Geometry for a Changing World
26 Mathematical Lens
House, Amherst, Massachusetts Dan Reif
Edited by Ron Lancaster and Jim Sandefur
40 August Calendar 42 Solutions to Calendar
Edited by Jean McGivney-Burelle and Janet A. White 46 Delving Deeper
Divisibility Tests Allen 0lsen
Edited by Al Cuoco and E. Paul Goldenberg
53 Media Clips
Edited by Margaret Cibes and James Greenwood
54 Save Time: Submit Your Manuscripts Online 56 Technology Tips
Average and Instantaneous Velocity Andy Ventress
Edited by Shannon Driskell and Robin Rider 69 Call for Manuscripts: Language Learners 70 Activities for Students
Visualizing Summation Formulas Gunhan Caglayan
Edited by Susan Beseler 78 For Your Information
Publications
80 Guide to Advertisers
For an explanation of NCTM's Focus of the Year topic, see p. 68.
Vol. 100, No. 1 • August 2006 | MATHEMATICS TEACHER 1