In this article, I share a design-based research intervention meant to help mathematics district leaders build their capacity to engage with research quality. I present my design (i.e., principles, key features, and intervention structure) and elaborate on how the features of the design allowed for mathematics district leaders’ sensemaking of educational research quality, especially regarding the process for collecting data and research implications. I conclude with recommendations for mathematics teacher educators on how they might adapt my design to their contexts.

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

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.

### Gülseren Karagöz Akar, Merve Saraç, and Mervenur Belin

In this study, we investigated prospective secondary mathematics teachers’ development of a meaning for the Cartesian form of complex numbers by examining the roots of quadratic equations through quantitative reasoning. Data included transcripts of the two sessions of classroom teaching experiments prospective teachers participated in, written artifacts from these teaching sessions, and their answers to pre-and-post written assessment questions. Results point toward prospective teachers’ improved meanings regarding the definition of complex numbers and the algebraic and geometrical meanings of the Cartesian form of complex numbers. Implications for mathematics teacher education include providing specific tasks and strategies for strengthening the knowledge of prospective and in-service teachers.

### Hannah Nieman, Kara Jackson, Michael Jarry-Shore, Hilda Borko, Elham Kazemi, Starlie Chinen, Anita Lenges, Zuhal Yilmaz, and Cara Haines

Despite the complexity of facilitating professional development (PD) and growing attention to supporting facilitators, few tools exist for facilitators to engage in ongoing inquiry into their practice. In this article, we offer a practical measure, the Collaborative Professional Development Survey (CPDS), designed to provide facilitators with information about teachers’ perceptions of aspects of the PD learning environment that research indicates matter for teachers’ opportunities to learn. We illustrate how facilitators used the CPDS to support their collective inquiry into facilitation. We also illustrate the social processes that appeared to enable facilitators’ productive use of the CPDS, including a routine to analyze the resulting data, and the orientations that underpinned their analysis. We discuss implications for facilitators’ use of the CPDS.

### Pamela A. Seda

Ear to the Ground features voices from several corners of the mathematics education world.

### Kristin Doherty

Support students in conjecturing in ways that can promote their agency in the learning process.

### John K. Lannin, Christopher Austin, and David C. Geary

Explore two ways that algebra students interpret mathematical expressions. Learn instructional tasks to help students develop meaning.

### Isabel White, Michael Foster, and Joanne Lobato

Explore three challenges that students faced and how they made progress.

### Sharon B. Hoffert and Introduction by: Candies Cook

From the Archives highlights articles from NCTM’s legacy journals, previously discussed by the *MTLT* Journal Club.

### Tara M. Willging and Luciana C. de Oliveira

A monolingual English-speaking teacher reflects on her experiences practicing a translanguaging stance in first grade with two multilingual learners and provides a set of guiding principles.