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Nancy S. Roberts and Mary P. Truxaw

A classroom teacher discusses ambiguities in mathematics vocabulary and strategies for ELL students in building understanding.

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Christopher E. Smith and Jana N. Paré

Mathematics and art share perspective and prominence in this collaborative learning experience.

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Jennifer Earles Szydlik, Amy Parrott and Jason Knight Belnap

Share practice and culture through three explicit discussions about the nature of mathematics.

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Photographs are a springboard for mathematical inquiry.

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Orlando B. Alonso and Joseph Malkevitch

The classification of shapes in middle and high school geometry often seems very mysterious to students, featuring strange terms such as isosceles, trapezoids, and kites, which are defined by a mixture of parallelism and metric ideas. The activities introduce a more natural way to classify triangles and quadrilaterals.

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Michael H. Koehler

The sculpture entitled Four-Sided Pyramid by Sol LeWitt (1928-2007) is located in the National Gallery of Art Sculpture Garden on the National Mall in Washington, D.C. Installed in 1999, the sculpture takes on a different appearance depending on light conditions and the location of the sun. The square pyramid consists of rectangular blocks stacked twenty-four levels high. It comprises twenty-three vertical slices of blocks from the front to the back of the pyramid and forty-seven rows of blocks from one corner of the base to the opposite corner. The blocks are rectangular prisms of dimensions 1 × 1 × 2 units; thus, each block can be thought of as consisting of two cubes.

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Günhan Caglayan

Tangent circles, sequenced to form annular Steiner rings, are photographed in the windows of ancient buildings.

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Arsalan Wares

A paper-folding problem is easy to understand and model, yet its solution involves rich mathematical thinking in the areas of geometry and algebra.

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Diana Cheng and David Thompson

Labyrinths inspire questions about measuring path lengths and representing patterns.

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Michelle Cirillo and Jenifer Hummer

Use these ideas to diagnose and address common conceptual obstacles that inhibit students' success.