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José Martínez Hinestroza and Vanessa Abreu

Children analyzed data to read their bodies and manage their emotions. To avoid controlling children’s bodies and emotions, the authors encourage teachers to embrace children’s unanticipated responses.

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Enrique Ortiz

Examine this geometric figure in light of a set of connections among fields such as architecture, geometry, science, sports, technology, and associated uses, models, and discoveries.

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Chris Harrow and Justin Johns

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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Jen Munson, Geetha Lakshminarayanan, and Thomas J. Rodney

Off You Go is a PK–12 mathematical routine that leverages children’s home resources and assets to support them in developing conceptual precision. We provide a guide for how to adapt this routine to engage students at any grade in argumentation and attending to precision.

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Ruthmae Sears

This article describes how visual representations can help develop students’ reasoning and proof skills.

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Paula Beardell Krieg

An artist uses graphic tools and circles to illuminate the illusive concept of the golden ratio.

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Sarah Quebec Fuentes

Learn about strategies and tools to examine and improve your practice with respect to fostering equitable small-group, student-to-student discourse.

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Audrey Callahan

This department provides a space for current and past PK–12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.

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Amanda M. Dominguez, Marina Feldman, Dan Battey, Christelle Palpacuer Lee, and Jessica Hunsdon

Rethink family mathematics nights by drawing on an asset-based perspective in a virtual environment, centering multilingualism and community mathematics knowledge.

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Lauren R. Holden, Yi-Yin (Winnie) Ko, Devon W. Maxwell, Connor A. Goodwin, Cheng-Hsien Lee, Jennifer E. Runge, and Elizabeth B. Beeman

One-Straight-Cut-Heart activities can help teachers support students’ engagement with geometry and can deepen students’ geometric reasoning.