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Lingguo Bu

The relationship between a midpoint and an average showcases the interplay between procedural knowledge and conceptual knowledge in learning mathematics for teaching.

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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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Adam Poetzel, Joseph Muskin, Anne Munroe, and Craig Russell

Using simple materials, a Mathematica software application, and their knowledge of function transformations, students design and create real mathematical sculptures.

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Tongta Somchaipeng, Tussatrin Kruatong, and Bhinyo Panijpan

Students use balls and disks to prove the general formulas for sums of squares and cubes.

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Walter J. Whiteley and Ami Mamolo

Investigating rates of change in volume without calculation leads to an enriched sense of the optimization process and encourages reflection and connection among different approaches.

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Cindy M. Cherico

Simulating a real-world marketing situation, students examine the mathematical calculations that play an integral part in product design.