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Beware of “Gaps” in Students’ Fraction Conceptions

Patrick L. Sullivan, Joann E. Barnett, and Kurt Killion

Many students have a dominant part-whole conception of fractions. We examine why this is problematic and explore strategies to move students beyond this limitation.

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Broken Ceiling Lights: Circular Area Without the Radius

Nicholas J. Gilbertson

A customer walks in to a lighting store with a broken ceiling light, and the solution to finding a replacement glass illuminates an alternative approach to finding the circumference and area of a circle without knowing the circle’s center, radius, or diameter.

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Construct It! Progressively Precise: Three Levels of Geometric Constructions

Carmen Petrick Smith

This article shares an activity scaffolding the construction of the circumcenter of a triangle, culminating with a Triangle-Ball Championship game.

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Give Plants an Inch; They’ll Take a Yard

Katherine N. Vela, Michelle Parslow, Rita Hagevik, and Kathy Cabe Trundle

A real-world integrated activity allows middle school students to design a scale drawing for a garden at their school.

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Promoting Precision in a Virtual Environment

Kathryn Lavin Brave, Mary McMullen, and Cecile Martin

The application of exact terminology benefits students when forming and supporting mathematical arguments virtually.