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Construct It! Introducing Integers with Floats and Anchors

Christy Pettis and Aran Glancy

Use the Floats and Anchors context as well as physical and digital materials to help students understand integer addition and subtraction.

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Advancing Agency Through Conjecturing

Kristin Doherty

Support students in conjecturing in ways that can promote their agency in the learning process.

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Building on Student Assets Through Number Talks

Jodie A. Bailey

This author used Number Talks as an asset-based approach to build on students’ prior knowledge and make connections across strategies in a Grade 7 mathematics class to address unfinished learning that occurred as a result of the COVID-19 pandemic.

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Using Mathematics to Design a Droid

George J. Roy, Matthew Cunningham, and Kenneth Rafanan

Teachers have the opportunity to make mathematics relevant. We leveraged the popularity of Star Wars to engage students in exploring and connecting two dimensions and three dimensions to careers in toy design.

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Balloons and Weights: Integer Subtraction in Context

Christine Andrews-Larson, Jonee Wilson, Matthew Mauntel, Jessica Smith, and Thomeca Hawthorne-Glover

Support students in developing contextual reasoning about integer subtraction.

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Using Number Talks to Compare Fractions

George J. Roy, Kristin E. Harbour, Christie Martin, and Matthew Cunningham

Using this strategy, a teacher facilitates a short conversation during which students verbally explain and justify reasoning. We have found that a coordinated series of number talks supports students’ reasoning when comparing fractions.

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Tackling Tangential Student Contributions

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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Beyond the Sign Rules

Jessica Pierson Bishop, Lisa L. Lamb, Ian Whitacre, Randolph A. Philipp, and Bonnie P. Schappelle

Are your students negative about integers? Help them experience positivity and joy doing integer arithmetic!

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“Measurement and Fair-Sharing Models for Dividing Fractions”

Jeff Gregg, Diana Underwood Gregg, and Introduction by: Melissa Boston

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

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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.