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F. Paul Wonsavage

Three approaches to the Doughnut task highlight how representing functions in multiple ways can support student understanding in interpreting key features of functions within a context.

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Caleb Goff

This article describes how using music and the TikTok platform can help students recall mathematical definitions in a whimsical and relatable way.

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Rebekah Elliott, Megan Brunner, Elyssa Stoddard, and Jenny White

The authors share a teacher-designed mathematical modeling routine geared to support teachers and to leverage opportunities for their students in learning important modeling practices and mathematical content.

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Rob Wieman, Lindsay Freedman, Paul Albright, Deb Nolen, and Jessica Onda

Four teachers and a teacher educator move from guided notes to strings in a series of problems that support students in increased engagement, reasoning, sense making, and problem solving.

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Emiliano Gómez, Risa A. Wolfson, and Introduction by: Trena L. Wilkerson

When selecting mathematical tasks to use in professional development with teachers, in-service or preservice, I am always looking for ones that model effective teaching practices, give opportunities to dig deeply into mathematics, engage the learner in multiple ways, and can readily be used in the classroom. Although there are many to choose from, “Filling Bottles with Water" (Gómez and Wolfson 2012) from Mathematics Teacher, now 10 years old, is one I use that exemplifies all four characteristics.

EFFECTIVE TEACHING PRACTICES

When implementing this task, you see multiple effective teaching practices at play (NCTM 2014

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Allison W. McCulloch, Jennifer N. Lovett, Lara K. Dick, and Charity Cayton

The authors discuss digital equity from the perspective of using math action technologies to position all students as mathematics explorers.

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Rachel B. Snider

Examples are an essential part of mathematics teaching and learning, used on a daily basis to teach and practice content. Yet, selecting good examples for teaching is complex and challenging. This article presents ideas to consider when selecting examples, drawn from a research study with algebra 2 teachers.

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Excerpts from discussion threads on the online MyNCTM community.

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Edward C. Nolan

This article describes the nature and benefits of involvement with NCTM Conferences as a contributor to individual and collegial professional growth.

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Nina G. Bailey, Samuel D. Reed, Kristen Fye, Allison W. McCulloch,, and Jennifer N. Lovett

Dynamic representations situated within a “Which One Doesn’t Belong?” routine can extend students’ exploration of functions and can enable a focus on the variant and invariant characteristics of mathematical objects.