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The Beauty of Regular Hexagons

Arsalan Wares

The author shares geometry that inspires him.

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Broken Ceiling Lights: Circular Area Without the Radius

Nicholas J. Gilbertson

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.

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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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GPS: Teaching Shapes Inclusively

Samuel Otten, Tiffany J. LaCroix, Faustina Baah, and Rebekah Hanak

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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Composing Tangram Puzzles to Support Shape Transformation

Laura Bofferding and Yi Zhu

Different types of tangram puzzles can encourage students to make sense of problems and engage in the computational thinking practice of debugging.

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Math-Inspired Artwork

Alessandra King, Sophia Ouanes, and Claire Doh

Students and teachers enjoy exploring the boundaries between mathematics and art.

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GPS: Triangle Explorations and Constructions Using Robots

Hyejin Park, Tuğba Boz, Amanda Sawyer, and James C. Willingham

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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It’s Off the Screen: Unearthing Megagons Through Technology

Sean Nank, Jaclyn M. Murawska, and Steven J. Edgar

Mathematical action technology can foster equitable student discourse. Students engage in cycles of proof to create, test, and revise conjectures through dynamic exploration of the Pythagorean theorem.

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See, Think, and Wonder Geoboard Art

Enrique Ortiz

Two original images were inspired by the use of an art studio app for digital drawings. This artistic process could be used to help created other original art and during See-Think-Wonder routines emphasizing meaningful observations and questioning skills.