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October 2002, Volume 95, Issue 7

FEATURES

Proof as a Tool for Learning Mathematics
Eric Knuth
The explanatory role of proofs and suggests ways that teachers might begin to foster this role in their instructional practices.

Do Mathematics with Interactive Geometry Software
Tingyao Zheng
How dynamic geometric software may help students search for patterns, formulate conjectures, and make generalizations in problem-solving activity.

Using a Model Rocket-Engine Test Stand in a Calculus Course
Mike Weiss, Brian Dodge, Kate Harden, Amy Hempstead, Jeff Lloyd, Brian Pott
A project used to reinforce Calculus concepts as well as to be able to provide data for a future Freshman Science rocketry project in a practical setting. Students used the concepts of the average value of a function along with Riemann sum approximation techniques and spreadsheet skills to determine the average thrust of a model rocket engine.

Determining the Mean Center of the Population of the United States
Dennis Ippolito
Speculation on how the mean center of the population of the country might be determined.

Interactive Writing in Mathematics Class: Getting Started
Ralph Mason, P. McFeetors
Specific strategies for making writing in math classes authentic and purposeful by making the process interactive.

Ascending and Descending Fractions
John Quintanilla
An illustration of the strengths and weaknesses of proofs by geometric series and by mathematical induction, two complementary techniques taught in Precalculus, by sending properties of fractions with ascending and descending digits.