Who has mathematical authority in your classroom, and what does authority look like? Find out different ways you can help students gain authority.

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## Reconsidering Mathematical Authority

### Michael D. Hicks, Jessica Pierson Bishop, Christina Koehne, and Mai Bui

## Building Equitable Math Talk Classrooms

### Karen C. Fuson and Steve Leinwand

The power of Number Talks and extensions that can build to an equitable Math Talk Classroom

## Same Task but Different Learning Goals

### Stephanie D. Sigmon, Kelly Q. Halpin, Damien J. Ettere, and Jennifer Suh

This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.

## Mathematical Discussions: Revealing Biases

### Ashley Schmidt, Treshonda Rutledge, Tandrea Fulton, and Sarah B. Bush

Do you use mathematical discussions to increase engagement in your classroom? In this Front and Center article, authors provide a discourse tool that can be used to reveal potential biases found in the implementation of the Five Practices.

## Exploring Relative Size with Relative Risk

### Surani Joshua, James Drimalla, Dru Horne, Heather Lavender, Alexandra Yon, Cameron Byerley, Hyunkyoung Yoon, and Kevin Moore

The Relative Risk Tool web app allows students to compare risks relating to COVID-19 with other more familiar risks, to make multiplicative comparisons, and to interpret them.

## Math Chat Opportunities Abound!

### Alice Aspinall

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

## Puddle Play!

### Deanna Pecaski McLennan

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

### Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

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.

## Conditional Reasoning Online with Mastermind

### Sean P. Yee, George J. Roy, and LuAnn Graul

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

## GPS: Equivalent Expressions

### Matt Enlow and S. Asli Özgün-Koca

Equality is one of the main concepts in K–12 mathematics. Students should develop the understanding that equality is a relationship between two mathematical expressions. In this month's GPS, we share tasks asking students one main question: how do they know whether or not two mathematical expressions are equivalent?