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Christine K. Pritchard and John H. Lamb

Teaching a visual subject to a visually challenged student inspires strategies that benefit all students in a class.

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Julian F. Fleron and Volker Ecke

Two classroom activities—the Flatland game and sliceforms—are useful vehicles for student exploration of the geometric interplay between the dimensions.

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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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Lingguo Bu

The rise of dynamic modeling and 3-D design technologies provides appealing opportunities for mathematics teachers to reconsider a host of pedagogical issues in mathematics education, ranging from motivation to application and from visualization to physical manipulation. This article reports on a classroom teaching experiment about cube spinning, integrating traditional tools, GeoGebra (www.geogebra.org), and 3-D design and printing technologies. It highlights the rich interplay between worthwhile mathematical tasks and the strategic use of diverse technologies in sustaining sense making and problem solving with a group of prospective teachers.

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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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A set of problems of many types.

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A set of problems of many types.

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A set of problems of many types.