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## Leveraging Student Identities to Develop Pedagogical Fluency

Mathematics education can be positioned as fertile ground for societal change. This article deconstructs the complex work of supporting students’ positive mathematical identities by introducing pedagogical fluency to embody equitable beliefs and practices.

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## The Magic Is in the Margins: UDL Math

In this article, I propose a mathematical version of Universal Design for Learning called UDL Math. I describe three classrooms that include students with disabilities in meaningful mathematics and explore how the teachers create access through multiple means of engagement, representation, and strategic action.

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## Puddle Play!

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

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.

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## Ready, Set, Launch!—The Engineering Cycle for Productive Struggle

We implemented a STEM task that highlights the engineering cycle and engages students in productive struggle. Students problem solved in productive ways and saw tangible benefits of revising their work to achieve mathematical goals.

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## Discourse Can Create a Learning Culture

When a ninth-grade teacher used discourse moves aligned with responding to students’ thinking and explicitly promoting productive dispositions, her students reported having positive experiences.

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## Pythagoras, PVC Pipes, and Pianos

This practitioner article describes a lesson carried out in a high school classroom at the conclusion of a unit on exponential growth. Two teachers use a series of music-related activities to engage students in using and connecting multiple representations of exponential growth while exploring musical frequencies on a piano.

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## Focusing on Visual Representations in Mathematics

The authors outline the importance of using variety when teaching mathematics.

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## Rough-Draft Thinking and Revising in Mathematics

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

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## Eliciting Critical Thinking through Purposeful Questioning

Teachers can use the SCAMPER framework to help students understand and appreciate rich mathematical connections in topics such as functions. The framework facilitates critical and creative thinking by allowing students to explore concepts through open mathematics.