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.

### 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.

### 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.

### Ruthmae Sears

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

### Paula Beardell Krieg

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

### 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.

### 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.

### 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.

### 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.