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Amy Scheuermann and Delinda van Garderen

Central to the saying that “A picture is worth a thousand words” is the notion that it can harbor a wealth of information. A picture or, specifically, a graphic representation, such as a diagram, table, or chart, can contain much information about what a student understands and can do in mathematics. That said, how often do we carefully examine the graphic representations our students generate when doing mathematics?

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John K. Lannin, Delinda van Garderen and Jessica Kamuru

This manuscript discusses two important ideas for developing student foundational understanding of the number line: (a) student views of the number sequence, and (b) recognizing units on the number line. Various student strategies and activities are included.