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The Exponent Maze: An Opening for Creativity

Kira Rivera and David Peabody

When students create their own exponent mazes, their creativity and problem-solving abilities flourish.

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Visualizing Mathematics Through Knitting

Emily Dennett

The author uses mathematical concepts to inform her knitting. Her knitting also helps her to experience mathematical concepts in new ways.

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Three Ways to Enhance Tasks for Multilingual Learners

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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Weaving the Rainbow (Odd I)

Lucy Rycroft-Smith

This piece is a rumination on flow, pattern, and edges/transitions, focusing on polynomials of odd degree and overlaying/underlaying the flow of the graphical structure with a rainbow to suggest the central importance of queer visibility in mathematics.

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Student Engagement with the “Into Math Graph" Tool

Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

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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“Counting” on Quantitative Reasoning for Algebra

Lori Burch, Erik S. Tillema, and Andrew M. Gatza

Use this approach to developing algebraic identities as a generalization of combinatorial and quantitative reasoning. Secondary school students reason about important ideas in the instructional sequence, and teachers consider newfound implications for and extensions of this generalization in secondary algebra curricula.

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Reasoning and Sense Making in High School Mathematics with Two Ways

S. Megan Che, Juliana Utley,, and Stacy Reeder

This article illustrates ways to extend Two Ways into high school mathematics content and advantages of doing so.

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GPS: Popsicle Place Value and Polynomials

Kelly Hagan and Cheng-Yao Lin

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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NCTM Leadership Then and Now

Trena L. Wilkerson

How has NCTM leadership shaped the evolution of teaching and learning mathematics? What are your expectations for NCTM leadership?

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With Reason: A Portrait of Sophia Kovalevsky (1850–1891)

JoAnne Growney

Sophia Kovalevsky's story