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## Beware of “Gaps” in Students’ Fraction Conceptions

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

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

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

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

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

Modeling exponential growth with crochet.

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## Teaching Is a Journey: Evolving Mathematician

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

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

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## The Beauty of Regular Hexagons

The author shares geometry that inspires him.

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## Broken Ceiling Lights: Circular Area Without the Radius

A customer walks in to a lighting store with a broken ceiling light, and the solution to finding a replacement glass illuminates an alternative approach to finding the circumference and area of a circle without knowing the circle’s center, radius, or diameter.