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Courtney R. Nagle and Deborah Moore-Russo

Students must be able to relate many representations of slope to form an integrated understanding of the concept.

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Sonali Raje, Michael Krach, and Gail Kaplan

Stereochemistry and three-dimensional analysis constitute significant parts of this student activity.

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S. Asli Özgün-Koca, Michael Todd Edwards, and Michael Meagher

The Spaghetti Sine Curves activity, which uses GeoGebra applets to enhance student learning, illustrates how technology supports effective use of physical materials.

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Christopher E. Smith

Considering circles in taxicab geometry helps students with Euclidean concepts.

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Emily Sliman

Chalk Talk and Claim-Support-Question are two routines for developing students' ability to use multiple representations and encouraging classroom discussion.

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Kerri Richardson, Anne Reynolds, and Catherine S. Schwartz

Rich mathematical tasks—here, finding and categorizing the quadrilaterals that can be made with vertices on a 4 × 4 grid—can promote adaptability in any classroom.

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Jeffrey J. Wanko, Michael Todd Edwards, and Steve Phelps

The Measure-Trace-Algebratize (MTA) approach allows students to uncover algebraic relationships within familiar geometric objects.

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Linda L. Cooper and Martin C. Roberge

Let's go wading! Students connect fundamental mathematics concepts in this real-world, problem-solving field experience.

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Nicole A. Bannister

This article describes a series of “food labs” designed to help calculus students make sense of abstract volume concepts. The methods include slicing (e.g., disk, washer, cross-section) and shell methods, and the author discusses how to use them in the classroom.

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Kate Nowak

This is a description of a collaborative investigation by mathematics teachers into the numbers of dimensional boundaries for n > 2. Functions are fit to the patterns observed, and a relationship to Pascal's triangle is noted.