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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### Jen Munson, Geetha Lakshminarayanan, and Thomas J. Rodney

### Ruthmae Sears

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

### Molly Rawding and Steve Ingrassia

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.

### Linda L. Cooper

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

### Brandon G. McMillan and Theodore Sagun

This instructional activity gives teachers access to student thinking that can be leveraged to extend and connect their ideas.

### Carolyn James, Ana Casas, and Douglas Grant

Encouraging students to justify earlier as they attempt to solve an open-ended task can lead to greater understanding and engagement.

## Patterns on a Calendar

### big solutions to little problems

### Jo Ann Cady and Pamela J. Wells

Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.

### Patrick M. Kimani, Dana Olanoff, and Joanna O. Masingila

The Mathematics Teaching Practices open the door to helping students engage with meaningful mathematics.