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Construct It! The Great Mini-Golf Project

Sandra Vorensky

This fun project capitalizes on students’ lived experiences of playing miniature golf. Through authentic engagement and collaboration with peers, students can create their own visual representations and practical explanations of math concepts.

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Beware of “Gaps” in Students’ Fraction Conceptions

Patrick L. Sullivan, Joann E. Barnett, and Kurt Killion

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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Exploring Young Children’s Math Thinking in Sandcastle Building

Hannah Tan and Cynthia Lim

Children explore concepts of capacity and height measurement through sand play in nursery class.

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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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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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Adapt It! Adapting Stories and Technology for Engagement in Geometry

Karen L. Terrell, Dennis J. DeBay, and Valerie J. Spencer

A task to develop and provide access to mathematics for all.

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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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Discuss It! Collaborating on the Tortoise and Hare Task

K. Ann Renninger, Maria Consuelo De Dios, Annie Fetter, Maeve R. Hogan, Moe Htet Kyaw, Ana G. Michels, Marina Nakayama, Richard Tchen, Stephen A. Weimar, Helena Werneck de Souza Dias, and Feven Yared

The authors share an online collaborative problem-solving activity that integrates support for students’ developing conceptual understanding, focused engagement, and positive feelings of agency and identity.

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Model It! Building and Sustaining Cultural Traditions with Ethnomodeling

Siddhi Desai and Farshid Safi

This geometric transformation-focused ethnomodeling respects individual and collective community experiences and moves toward educational experiences that acknowledge and celebrate the multidimensional aspects related to identity.

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Exploring Prospective Teachers’ Development of the Cartesian Form of Complex Numbers

Gülseren Karagöz Akar, Merve Saraç, and Mervenur Belin

In this study, we investigated prospective secondary mathematics teachers’ development of a meaning for the Cartesian form of complex numbers by examining the roots of quadratic equations through quantitative reasoning. Data included transcripts of the two sessions of classroom teaching experiments prospective teachers participated in, written artifacts from these teaching sessions, and their answers to pre-and-post written assessment questions. Results point toward prospective teachers’ improved meanings regarding the definition of complex numbers and the algebraic and geometrical meanings of the Cartesian form of complex numbers. Implications for mathematics teacher education include providing specific tasks and strategies for strengthening the knowledge of prospective and in-service teachers.