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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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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.

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Translanguaging Pedagogy in Elementary Mathematics

Tara M. Willging and Luciana C. de Oliveira

A monolingual English-speaking teacher reflects on her experiences practicing a translanguaging stance in first grade with two multilingual learners and provides a set of guiding principles.

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Composing Tangram Puzzles to Support Shape Transformation

Laura Bofferding and Yi Zhu

Different types of tangram puzzles can encourage students to make sense of problems and engage in the computational thinking practice of debugging.

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Are We Preparing Agents of Change or Instruments of Inequity? Teaching Toward Antiracist Mathematics Teacher Education

Joel Amidon, Anne Marie Marshall, and Rebecca E. Smith

The authors began this work with the understandings that (a) there is no “neutral” when it comes to the teaching of mathematics, and (b) mathematics teacher educators need to do something to help produce teachers of mathematics that develop students’ relationships with mathematics and push against the inequities that exist both within and outside of the classrooms in which they will teach. In response, the authors created, deployed, and studied a learning module in an attempt to enact antiracist mathematics teacher education. The learning module activities, the findings about the learning from the prospective teachers who engaged in the module, and messages for mathematics teacher educators who want to engage in this work are shared.

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Identity Making in Kindergarten: Diego’s Story

Jody Guarino and Sara Manseau

Read about Diego, a kindergarten student, as he develops his mathematical identity and competency.

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Math Storytelling in PK–2 Classrooms

Janice Novakowski

Mathematical storytelling is a way for young children to make connections between mathematics and their lives. The practices of using equations and materials are shared as sparks for mathematical storytelling.

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Subtraction, Decomposition, and Argumentation

Chepina Rumsey, Jody Guarino, and Michelle Sperling

We describe how mathematical argumentation supports curiosity and exploration by sharing a first-grade lesson in which students explored decomposition with subtraction. We also reflect on the conditions that supported the inclusion of mathematical argumentation.

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We Are Different but the Same!

Deanna Pecaski McLennan

Use the language of mathematics to explore diversity in kindergarten.

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Design Principles That Support Course Design Innovation for Elementary Mathematics Methods Courses

Evthokia Stephanie Saclarides, Brette Garner, Gladys Krause, Claudia Bertolone-Smith, and Jen Munson

Learning to teach mathematics is a complex endeavor, requiring sustained focus and time. Yet time is especially scarce in elementary teacher education programs, where preservice teachers (PSTs) learn all content areas. Through a collaborative self-study, five teacher educators identified three time-related tensions in elementary mathematics methods courses: (a) teaching mathematics content and pedagogy; (b) connecting theory and practice; and (c) promoting social contexts in teaching mathematics. To address these tensions, we offer three design principles and illustrative examples: (a) addressing multiple goals for each course component; (b) developing PSTs’ dispositions over time; and (c) building on PSTs’ strengths to develop understanding of mathematics. We present a reflection tool to assist mathematics teacher educators in designing their courses to maximize their instructional time.