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Kathryn Lavin Brave, Mary McMullen, and Cecile Martin

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

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Steve Ingrassia and Molly Rawding

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

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Lori Burch, Erik S. Tillema, and Andrew M. Gatza

Use this approach to developing algebraic identities as a generalization of combinatorial and quantitative reasoning. Secondary school students reason about important ideas in the instructional sequence, and teachers consider newfound implications for and extensions of this generalization in secondary algebra curricula.

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Elizabeth Suazo-Flores and Lisa Roetker

We describe how a group of eighth-grade students reasoned abstractly and quantitatively after the teacher fostered their engagement by using moves such as inviting students to draw and revoicing talk in a real-world context task.

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Beth L. MacDonald, Diana L. Moss,, and Jessica H. Hunt

In this article, we explore how playing with dominoes not only requires students to count but also to subitize when constructing number and operations.