Different types of open tasks can be used as a tool to promote rigorous student mathematical discourse and considerations for facilitation.
Let’s Give Them Something to Talk About
Nicola M. Hodkowski and Carolyn Carhart-Quezada
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.
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.
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.
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.
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.
Construct It! What’s in a Name? Collecting, Organizing, and Representing Data
Eva Thanheiser, Courtney Koestler, Amanda T. Sugimoto, and Mathew D. Felton-Koestler
Build a classroom community by building representations and visualizations of data related to students’ names.
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.
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.
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.