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The Beauty of Regular Hexagons

Arsalan Wares

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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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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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Using Public Records to Scaffold Joint Sense Making

Keith R. Leatham, Blake E. Peterson, Ben Freeburn, Sini W. Graff, Laura R. Van Zoest, Shari L. Stockero, and Nitchada Kamlue

Teachers can more productively use board work to scaffold joint sense making.

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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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Young Mathematicians Take Action Through Sport Clinics

Jennifer Suh, Gretchen Maxwell, Kate Roscioli, Holly Tate, Padmanabhan Seshaiyer, and Risto Marttinen

A community-based mathematical modeling task focuses on exploring issues of inequities and lack of access to youth sports.