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Jen Munson, Geetha Lakshminarayanan, and Thomas J. Rodney

Off You Go is a PK–12 mathematical routine that leverages children’s home resources and assets to support them in developing conceptual precision. We provide a guide for how to adapt this routine to engage students at any grade in argumentation and attending to precision.

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Deanna Pecaski McLennan

Use the language of mathematics to explore diversity in kindergarten.

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Justin Johns and Chris Harrow

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

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Blake E. Peterson, Shari L. Stockero, Keith R. Leatham, and Laura R. Van Zoest

Do your students ever share ideas that are only peripherally related to the discussion you are having? We discuss ways to minimize and deal with such contributions.

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Carrie Plank and Sarah Roller Dyess

Use these three strategies to support student perseverance and discourse about context.

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Amanda L. Cullen

In 2018, NCTM published the first of three books in their Catalyzing Change series. Across the three texts, they call for the dismantling of all forms of inequitable grouping structures from early childhood and elementary school (NCTM 2020a) to middle school (NCTM 2020b) and high school (NCTM 2018). NCTM (2020a) asserted—

Any ability grouping in mathematics education is an inequitable structure that perpetuates privilege for a few and marginality for others. Ability grouping practices often occur with good intentions; we want to understand children’s learning needs and then tailor the content,

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Douglas H. Clements, Shannon S. Guss, and Julie Sarama

Learning trajectories help teachers challenge children at just the right level for their best learning.

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Sarah A. Roberts, Zandra de Araujo, Craig Willey, and William Zahner

Enacting these considerations supports integrated thinking about how to attend to both mathematics content and language development.

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Carybeth Hobbs

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

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

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.