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## The Back Page: My Favorite Lesson: Which Fits Better?

One of my favorite lessons comes from a problem I first heard posed as an open–ended assessment problem by David Clarke at an NCTM conference years ago:

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## Car Talk Puzzler // Got Pennies?

Students analyze items from the media to answer mathematical questions related to the article. Exponents and working with large numbers are the underlying mathematical ideas this month.

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## An Appeeling Activity

Students peel oranges to explore the surface area and volume of a sphere.

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## Reader Reflections – March 2012

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## Reader Reflections – October 2012

Readers comment on published articles or offer their own ideas.

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## Reader Reflections – February 2013

Regarding the reflection “On the Area of a Circle” by Cheng, Tay, and Lee (MT April 2012, vol. 105, no. 8, pp. 564-65), it is possible to prove that one can arrange infinitely many sectors of a circle into a rectangle to show that a circle's area is π2. However, the authors' derivation is invalid because they assume their conclusion by using the area of the circle within their proof.

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## Derivative of Area Equals Perimeter—Coincidence or Rule?

A familiar relationship—the derivative of the area of a circle equals its circumference—is extended to other shapes and solids.

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## In Search of Archimedes: Measurement of a Circle

In the absence of a decimal number system and representations for square roots, Archimedes estimated the value of pi using inscribed and circumscribed polygons to a circle.

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## From Blueprints to Labyrinths

Labyrinths inspire questions about measuring path lengths and representing patterns.

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## Sketching Up the Digital Duck

Two preservice teachers describe how using Google SketchUp, Terrapin Logo, and The Geometer's Sketchpad fosters a deeper understanding of measurement concepts.