More Good Questions by Marian Small & Amy Lin

Author:Marian Small & Amy Lin
Language: eng
Format: epub
Publisher: Teachers College Press
Published: 2010-03-13T16:00:00+00:00

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TEACHING TIP. Although we often shy away from ill-defined terms in mathematics, it is valuable to give students a chance to define those ill-defined terms to expose their thinking.

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BIG IDEA. Many properties and attributes that apply to 2-D shapes also apply to 3-D shapes.

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What do you think circles and spheres have in common?

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This question offers a great deal of latitude. Students might focus on the symmetry of both shapes, the roundness of both shapes, the similarity of the algebraic representations on a coordinate grid for both shapes, the equidistant component of the definitions for both shapes, the fact that both are limits of a class of shapes (whether regular polygons or regular polyhedra), and so on.

If students have difficulty getting started, the teacher could ask scaffolding questions such as:

What makes a circle special?

Does that same idea apply to a sphere?

What attributes does a circle have?

Does a sphere have those attributes?

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