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Joe Champion and Ann Wheeler

A classic manipulative, used since the 1960s, continues to offer opportunities for intriguing problem solving involving proportions.

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Pamela Edwards Johnson, Melissa Campet, Kelsey Gaber, and Emma Zuidema

Three preservice teachers used virtual manipulatives during clinical interviews with students of elementary school age. The technology exposed students' problem-solving strategies and mathematical understanding, promoting just-in-time teaching about the target content. The process of completing and reflecting on the interviews contributed to growth of the preservice teachers' technological pedagogical content knowledge.

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Øistein Gjøvik

An origami activity can lead to rich tasks in several branches of mathematics.

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Harold Reiter, Arthur Holshouser, and Patrick Vennebush

This method for counting lattice octagons strengthens students' counting skills and geometrical thinking.

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Emiliano Gómez and Risa A. Wolfson

In this activity, students gradually fill bottles of different shapes and graph the water level (height) versus the volume of water inside the bottles. Then they explore the relationship between the shape of a bottle and the resulting graph.

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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.