By examining some of Ms. Hill’s instructional moves, we demonstrate how a fifth-grade teacher simultaneously developed her multilingual learners’ mathematical reasoning and mathematics register.

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### Richard Kitchen, Libni B. Castellón, and Karla Matute

### Joel Amidon, Anne Marie Marshall, and Rebecca E. Smith

The authors began this work with the understandings that (a) there is no “neutral” when it comes to the teaching of mathematics, and (b) mathematics teacher educators need to do something to help produce teachers of mathematics that develop students’ relationships with mathematics and push against the inequities that exist both within and outside of the classrooms in which they will teach. In response, the authors created, deployed, and studied a learning module in an attempt to enact antiracist mathematics teacher education. The learning module activities, the findings about the learning from the prospective teachers who engaged in the module, and messages for mathematics teacher educators who want to engage in this work are shared.

### Kristi J. Isaacson and Christina Betz-Cahill

Explore the impact technology has on mathematical identity and agency when students use mathematical action technology to engage in cycles of proof and support case-based reasoning.

### Kate Roscioli and Jennifer Suh

Learn how to engage students in geometry concepts through a real-world task that leverages GeoGebra to provide students with generalization and authorship opportunities.

### Stacy K. Boote and Terrie M. Galanti

Elementary school students use physical manipulatives (e.g., pattern blocks) to make sense of the geometry and measurement ideas in a Code.org block-based programming lesson.

### Kelly Overby Byrd, Kayla Cooper, Raegan Bolger, and Heather Treece

We share two examples of student engagement in visible, mathematical thinking through a Chalk Talk within the four walls of the classroom, as well as the connected spaces of online learning. Five steps for facilitating the Chalk Talk are outlined, with descriptions of teacher moves for each step.

### Lara K. Dick, Amanda G. Sawyer, Margaret MacNeille, Emily Shapiro, and Tabitha A. Wismer

We investigate resources on TeachersPayTeachers and discuss how what is available affects our teaching practices.

### Karla Bandemer

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.

### Melissa Graham, Johana Thomas Zapata, Amy Roth McDuffie, Nicole Blake, Introduction and Reflection by Angela T. Barlow, David Custer, and Clayton Edwards

Lesson study supports teachers in learning about curriculum and effective teaching practices. We discuss a district-wide lesson study process used to explore and adopt a new curriculum.

### Kym Fry and Lyn D. English

Grade 4 students engage in problem solving through inquiry in an agricultural science context.