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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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Øistein Gjøvik

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

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Timothy McKeny and Joanne Caniglia

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph. This month, the art of sculptor and painter Sol LeWitt is analyzed. Counting, combinatorics, and spatial visualization are among the mathematical themes evinced.

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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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S. Louise Gould

Pop-up polyhedra–three-dimensional models that can be stored for future reference–are easily constructed using The Geometer's Sketchpad and give students experience in using transformations in the plane.

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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.