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## Construct It! Introducing Integers with Floats and Anchors

Use the Floats and Anchors context as well as physical and digital materials to help students understand integer addition and subtraction.

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## Filling Vases and Making Tanks

Two classic hands-on tasks address conceptual understanding of functions. The tasks center student discourse and rough draft mathematics as students grapple with the relationship between input and output.

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## Crack the Code

This game teaches algebraic generalizations through differentiated play in pairs, small groups, or as a whole class and uses manipulatives to bridge numerical and algebraic thinking.

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## Looking for Math in All the Right Places!

This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.

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## Five Core Routines for Teaching Mathematics Outside

Integrating mathematics and nature offers students benefits for physical and mental health and enriches their learning.

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## Smiles: A Strengths-Based On-Ramp Mathematics Task

Use this activity to support students in working together, recognizing one another’s contributions, and leveraging their mathematical strengths to solve challenging problems.

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## Student Engagement with the “Into Math Graph" Tool

We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.

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## Visualizing the Arithmetic Mean

The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.

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## Partial Pies

A series of tasks encourage students to reflect on the reasonableness of their number sense and use benchmarks to refine their estimations.

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## The Power of Interviewing Students

A teacher uses formative assessment interviews to uncover evidence of students’ understandings and to plan targeted instruction in a mathematics intervention class. We present an example of a student interview, a discussion of the benefits and challenges of conducting interviews, and actionable suggestions for implementing them.