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## Exploratory Writing to Support Mathematical Sense Making

A teacher implements this type of personal prose in the classroom to help students make sense of fractions and communicate ideas.

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## Beyond the Sign Rules

Are your students negative about integers? Help them experience positivity and joy doing integer arithmetic!

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## Using TileFarm to Support Emerging Multiplication

Symmetric dot patterns are a particularly powerful object for investigation, providing opportunities for foundational learning across PK–5. We found that second-grade students naturally used repeated addends to count symmetric dot patterns created using the new software TileFarm.

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## Promoting Discourse: Fractions on Number Lines

Examine fourth graders’ thinking about the unit, partitioning, order, and equivalence on the number line and consider ways to orchestrate mathematical discussions through the Five Practices.

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## Improving Understanding of Mathematical Equivalence

Modify arithmetic problem formats to make the relational equation structure more transparent. We describe this practice and three additional evidence-based practices: (1) introducing the equal sign outside of arithmetic, (2) concreteness fading activities, and (3) comparing and explaining different problem formats and problem-solving strategies.

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## The Shape of Art: Mathematics Connections

For the Love of Mathematics

Answers are available in the supplemental appendix.

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## Dominoes: Promoting Units Construction and Coordination

In this article, we explore how playing with dominoes not only requires students to count but also to subitize when constructing number and operations.