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Zhuping Shen

See several examples of ways to use the Roof Method to find set intersections, unions, and complements on intervals.

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Erin Turner, Amanda T. Sugimoto, Kathleen Stoehr, and Erica Kurz

Research-based strategies are described for supporting students as they mathematize real-world scenarios and create inequalities to model situations and contexts from their own lives.

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Melissa D. Gunter

Writing about mathematics holds a wealth of benefits for students. When students are given opportunities to write in math class, it helps develop mathematical thinking and language (Carter 2009; McCarthy 2008; Yang 2005), encourages self-reflection (Carter 2009; Danielson 2010; O'Kelley 2013), and provides a better way to organize ideas (Linhart 2014; Rogers 2014). Many teachers incorporate journaling and other types of reflective writing into their instruction already (Sjoberg, Slavit, and Coon 2004; Sanders 2009), but what about other forms of writing? NCTM states the importance of writing, in that students in the middle grades should be “more explicit about basing their writing on a sense of audience and purpose” (NCTM 2000, p. 62). How can we help students develop this important skill in math class?.

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Casey Hawthorne and Bridget K. Druken

Examples of solving equations and inequalities, analyzing quadratic expressions, and reasoning with functions show three ways to engage students in this mathematical practice.

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Karina K. R. Hensberry, Ian Whitacre, Kelly Findley, Jennifer Schellinger, and Mary Burr Wheeler

Mathematics teaching that provides opportunities for play embodies many of the Mathematics Teaching Practices described in Principles to Actions: Ensuring Mathematical Success for All (NCTM 2014). PhET interactive simulations (or sims), developed by the PhET Project at the University of Colorado Boulder (, are freely available virtual tools that promote play and exploration in mathematics and science topics for K-16 students.

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Edited by Anna F. DeJarnette and Stephen Phelps

A monthly set of problems is aimed at a variety of ability levels.