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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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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.

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The Beauty of Regular Hexagons

Arsalan Wares

The author shares geometry that inspires him.

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Problems to Ponder

Chris Harrow and Justin Johns

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

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Construct It! Progressively Precise: Three Levels of Geometric Constructions

Carmen Petrick Smith

This article shares an activity scaffolding the construction of the circumcenter of a triangle, culminating with a Triangle-Ball Championship game.

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Construct It! Triangle Puzzle Challenges

Enrique Ortiz

This article presents an original puzzle that supports students’ development of visual thinking and geometry ideas based on the Van Hiele levels of geometric thought.

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Imagine It! Choose Your Own Pattern Block Adventure

Anita A. Wager, Brittany Caldwell, and Jamie Vescio

When given the opportunity to play with mathematical materials and ideas, children demonstrate their mathematical understanding in innovative ways.

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The Do Nothing Machine

Keith Dreiling

The Trammel of Archimedes traces an ellipse as the machine’s lever is rotated. Specific measurements of the machine are used to compare the machine’s actions on GeoGebra with the graph of the ellipse and an ellipse formed by the string method.