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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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Algebraic Thinking in the Context of Spatial Visualization

Arsalan Wares and David Custer

This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.

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See, Think, and Wonder Geoboard Art

Enrique Ortiz

Two original images were inspired by the use of an art studio app for digital drawings. This artistic process could be used to help created other original art and during See-Think-Wonder routines emphasizing meaningful observations and questioning skills.

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Teaching Angle as Turn Using a Code.org Lesson

Stacy K. Boote and Terrie M. Galanti

Elementary school students use physical manipulatives (e.g., pattern blocks) to make sense of the geometry and measurement ideas in a Code.org block-based programming lesson.

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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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Using Fermi Questions to Foster Community

Kathryn Lavin Brave and Jillian Miller

Two teachers describe how to use Fermi Questions to illuminate the connections between the Standards for Mathematical Practice and the social and emotional learning competencies.

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GPS: How Long? Estimating Length and Time

S. Asli Özgün-Koca and Monica G. McLeod

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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Revisiting Reinhart for Uncertain Teaching Times

Mindy Kalchman

Process-oriented, question-asking techniques provide a framework for approaching modern challenges, including modality pivots and student agency.

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Exploring Sequences Related to Medial Triangles

José N. Contreras

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Building Powerful Mathematical Thinkers with dINBs

Courtney K. Baker, Terrie M. Galanti, Kimberly Morrow-Leong, and Tammy Kraft

The Teaching for Robust Understanding framework facilitates online collaborative problem solving with digital interactive notebooks that position all students as doers of mathematics.