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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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Teaching Is a Journey: Vulnerability in Our Work as Educators

Taylee Nelson

This department provides a space for current and past PK-12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.

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Enacting Co-Craft Questions Using Flexible Teaching Platforms

T. Royce Olarte and Sarah A. Roberts

Teachers can implement a mathematics language routine within in-person/hybrid and remote instructional contexts.

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Adaptations to Support the Flint Water Task

Dana L. Grosser-Clarkson and Joanna S. Hung

This Perspectives on Practice manuscript focuses on an innovation associated with “Engaging Teachers in the Powerful Combination of Mathematical Modeling and Social Justice: The Flint Water Task” from Volume 7, Issue 2 of MTE. The Flint Water Task has shown great promise in achieving the dual goals of exploring mathematical modeling while building awareness of social justice issues. This Perspectives on Practice article focuses on two adaptations of the task—gallery walks and What I Know, What I Wonder, What I Learned (KWL) charts—that we have found to enhance these learning opportunities. We found that the inclusion of a gallery walk supported our students in the development of their mathematical modeling skills by enhancing both the mathematical analyses of the models and the unpacking of assumptions. The KWL chart helps students document their increase in knowledge of the social justice issues surrounding the water crisis. Using the mathematical modeling cycle to explore social justice issues allows instructors to bring humanity into the mathematics classroom.

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Smiles: A Strengths-Based On-Ramp Mathematics Task

Dorothy Y. White

Use this activity to support students in working together, recognizing one another’s contributions, and leveraging their mathematical strengths to solve challenging problems.

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Supporting Probability Understanding through Area Models

LouAnn H. Lovin

Moving beyond memorization of probability rules, the area model can be useful in making some significant ideas in probability more apparent to students. In particular, area models can help students understand when and why they multiply probabilities and when and why they add probabilities.

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Quick Blocks: Developing Spatial Sense

Gabriel Matney, Julia Porcella, and Shannon Gladieux

This article shares the importance of giving K-12 students opportunities to develop spatial sense. We explain how we designed Quick Blocks as an activity to engage our students in both spatial reasoning and number sense. Several examples of students thinking are shared as well as a classroom dialogue.

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A STEAM Exploration of Tiny Homes

Daniel Edelen, Heather Simpson, and Sarah B. Bush

The incorporation of the “M” in STEAM must extend beyond simply a tool to address science and engineering standards (Authors, 2016; NCSM/NCTM, 2018). We present a mathematics- rich STEAM inquiry in which elementary students engaged in solving the issue of homelessness for one family in need.

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Teaching Mathematics through Multicultural Literature

Nevin Iliev and Frank D'Angelo

Enable children of all backgrounds to move beyond their current knowledge base and make culturally relevant mathematical connections.

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Engaging Reluctant Problem Solvers

Sydney M. Holbert and Angela T. Barlow

To support all students in meeting the Common Core's Standards for Mathematical Practice, consider the key features of tasks without words.