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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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Construct It! The Great Mini-Golf Project

Sandra Vorensky

This fun project capitalizes on students’ lived experiences of playing miniature golf. Through authentic engagement and collaboration with peers, students can create their own visual representations and practical explanations of math concepts.

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Beware of “Gaps” in Students’ Fraction Conceptions

Patrick L. Sullivan, Joann E. Barnett, and Kurt Killion

Many students have a dominant part-whole conception of fractions. We examine why this is problematic and explore strategies to move students beyond this limitation.

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Building Algebraic Procedures From Concepts: Like Terms

Leah M. Frazee and Adam R. Scharfenberger

This task sequence for adding and subtracting like terms—grounded in the concepts of equivalence and algebra as generalized arithmetic—helps students see connections between concepts and procedures in algebra.

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Digital Learning Routes: An Example of Mathematical Modeling

Salomé Martínez, Flavio Guiñez, and Darío González

An online activity provides instructional strategies that can help students engage in mathematical modeling and autonomous learning.

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Encouraging Students to LOVE MATH with One-Straight-Cut Letters

Yi-Yin (Winnie) Ko, Connor A. Goodwin, Lauren Ream, and Grace Rebber

One-straight-cut activities engage middle-school students in learning about symmetry and geometric transformations.

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GPS: Composing and Decomposing Shapes Across the Grades

Kyle Carpenter and Sarah Roller Dyess

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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Hyperbolic Duckies

Sophia Wood

Modeling exponential growth with crochet.

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Teaching Is a Journey: Evolving Mathematician

Taajah Felder Witherspoon

Math mentors, challenging math problems, and empowered students are crucial for math growth in both students and educators.

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Varying the Intensity of Scaffolding for English Learners

Haiwen Chu, Jill Neumayer DePiper, and Leslie Hamburger

Vary the intensity of pedagogical scaffolding along three dimensions—grouping, structure, and language—with the same rigorous prompt.