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The Beauty of Regular Hexagons

Arsalan Wares

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Let’s Give Them Something to Talk About

Nicola M. Hodkowski and Carolyn Carhart-Quezada

Different types of open tasks can be used as a tool to promote rigorous student mathematical discourse and considerations for facilitation.

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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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Reconsidering Mathematical Authority

Michael D. Hicks, Jessica Pierson Bishop, Christina Koehne, and Mai Bui

Who has mathematical authority in your classroom, and what does authority look like? Find out different ways you can help students gain authority.

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Teaching Is a Journey: The Frog in the Well

Linling Cai Chawla, Amanda Fox, and Elodie Resurreccion

Three authors from different cultural and linguistic backgrounds, who discovered that their understanding of math and education have been limited by their cultural views, collaborate to become better educators.

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Two Technology Frameworks: Their Use in Lesson Design

Elizabeth B. Harkey, Angela T. Barlow, and Victoria Groves-Scott

The authors used two technology frameworks to design three seventh-grade mathematics lessons, focusing on opportunities to address collaboration, authenticity, or personalization.

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Ways to Help Students Become Powerful Mathematical Thinkers

Alan H. Schoenfeld

Ear to the Ground features voices from several corners of the mathematics education world.

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Build It! The Rectangle Game

Theresa Wills, Jennifer Suh, Kate Roscioli, Amanda Guzman, Jennifer Everdale, and Sandra Lee

Discover technology-enhanced, game-based tasks and student generalizations.

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Construct It! Intersecting Language and Mathematics with Interlocking Cubes

Basil Conway IV and Marjorie Mitchell

Students learn to build their own numbering system by recognizing and identifying patterns with interlocking cubes in different place values.

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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.