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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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Filling Vases and Making Tanks

Jana Dean

Two classic hands-on tasks address conceptual understanding of functions. The tasks center student discourse and rough draft mathematics as students grapple with the relationship between input and output.

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Making Sense of Algebraic Expressions in Context

Isabel White, Michael Foster, and Joanne Lobato

Explore three challenges that students faced and how they made progress.

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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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Exploring Grades 3–5 Mathematics Activities Found Online

Lara K. Dick, Amanda G. Sawyer, Margaret MacNeille, Emily Shapiro, and Tabitha A. Wismer

We investigate resources on TeachersPayTeachers and discuss how what is available affects our teaching practices.

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Seeking Quality Feedback to Improve Practice

Travis Lemon

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Formative Assessment in Secondary Mathematics: Moving Theory to Recommendations for Evidence-Based Practice

Rachael H. Kenney, Michael Lolkus, and Yukiko Maeda

Mathematics teacher educators play a key role in supporting secondary mathematics teachers’ development of effective, research-based formative assessment (FA) practices. We used qualitative research synthesis as a tool to identify actionable recommendations for mathematics teacher educators as they work with teachers on FA practices in secondary classrooms. These recommendations can strengthen the research-based practices of mathematics teacher educators as they support teachers’ collections and uses of FA data to move student thinking forward in secondary mathematics. We share and discuss recommendations for mathematics teacher educators to connect pedagogical content knowledge of students, teaching, and curriculum to FA practices. We also highlight the usefulness of the qualitative synthesis method, meta-aggregation, for generating research-based connections between theory and practice in mathematics education.

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How Big Is a Leaf? Mathematical Modeling Through STEM Inquiry

Kym Fry and Lyn D. English

Grade 4 students engage in problem solving through inquiry in an agricultural science context.

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NCTM’s Activity Gems for the Classroom

Roger Day

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

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Same Task but Different Learning Goals

Stephanie D. Sigmon, Kelly Q. Halpin, Damien J. Ettere, and Jennifer Suh

This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.