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The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions related to mathematical depth in preschool, spiral review in the upper elementary grades, ideas for differentiation in middle school, and projects for high school algebra.

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The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions regarding 1st grade number sense, multiplication and division of fractions, issues of definition and precision related to circles, and the value of rationalizing denominators.

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Stefanie D. Livers, Kristin E. Harbour, and Lindsey Fowler

In our attempts to make a concept easier, we may hinder student learning.

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Candace Joswick, Douglas H. Clements, Julie Sarama, Holland W. Banse, and Crystal A. Day-Hess

Modify activities according to these principles and suggestions.

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Sarah A. Roller, Elizabeth P. Cunningham, and Katherine Ariemma Marin

Use photographs as a formative assessment tool.

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Megan H. Wickstrom, Elizabeth Fulton, and Dacia Lackey

Use those multicolored linking bricks to help students connect measurement with an understanding of number and operations as well as fractions.

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Caroline B. Ebby, Elizabeth T. Hulbert, and Nicole Fletcher

Dig deeper into classroom artifacts using research-based learning progressions to enhance your analysis and response to student work, even when most students solve a problem correctly.

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Brandy Crowley and Tracy Harper

What is the most exciting day of the school year? Field trip day! Organizing a smooth field trip requires mathematical thinking. After solving these problems, have students create math questions about their own field-trip experiences.

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Ryan Higgins and John Byrd

Redesign well-known playground games, such as hopscotch, to connect physical movement with mathematics play. Postscript items are designed as rich grab-and-go resources that any teacher can quickly incorporate into his or her classroom repertoire with little effort and maximum impact.

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Michelle Stephan and Jennifer Smith

To incorporate more classroom discussion, allow students to argue.