Elementary mathematics teacher education often draws on research-based frameworks that center children as mathematical thinkers, grounding teaching in children’s mathematical strategies and ideas and as a means to attend to equity in mathematics teaching and learning. In this conceptual article, a group of critical mathematics teacher educators of color reflect on the boundaries of Cognitively Guided Instruction (CGI) as a research-based mathematical instructional framework advancing equity through a sociopolitical perspective of mathematics instruction connected to race, power, and identity. We specifically discuss CGI along the dominant and critical approaches to equity outlined by , ) framework. We present strategies used to extend our work with CGI and call for the field to continue critical conversations of examining mathematical instructional frameworks as we center equity and criticality.

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### Luz A. Maldonado Rodríguez, Naomi Jessup, Marrielle Myers, Nicole Louie, and Theodore Chao

### Jody Guarino, Shelbi Cole, and Michelle Sperling

In a humanized approach to assessment, the design of the instrument itself is only a small part of the overall process.

### Amanda T. Sugimoto and Heidi Meister

The authors draw on collaboration with a group of teachers to describe how three-act tasks could be (re)designed and implemented for online synchronous and asynchronous learning, identifying technological factors that teachers might consider.

### Elizabeth E. Peyser and Jessica Bobo

Because number lines are an integral part of mathematics after they are introduced in second grade, connecting number sense to a linear view of numbers establishes a foundation for number line use in all levels of mathematics.

### Larry Buschman and Introduction by: Beth Kobett

From the Archives highlights articles from NCTM’s legacy journals, as chosen by leaders in mathematics education.

### Douglas H. Clements and Introduction by: Carol Matsumoto

From the Archives highlights articles from NCTM’s legacy journals, as chosen by leaders in mathematics education.

### Jennifer Ward and Victoria Damjanovic

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.

### Gina Kling and Jennifer M. Bay-Williams

Basic fact fluency has always been of interest to elementary school teachers and is particularly relevant because a wide variety of supplementary materials of varying quality exist for this topic. This article unpacks eight common unproductive practices with basic facts instruction and assessment.

### Erin Smith, Jo Hawkins-Jones, Shelby Cooley, and R. Alex Smith

Teachers can use shared story reading with interdisciplinary lessons to simultaneously advance students’ mathematics, literacy, and social-emotional competencies. In this article, we use the book, *Two of Everything*, to illustrate how this routine can be used in K–2 classrooms.

### Sabrina De Los Santos Rodríguez, Audrey Martínez-Gudapakkam, and Judy Storeygard

An innovative program addresses the digital divide with short, engaging videos modeling mathematic activities sent to families through a free mobile app.