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## Subtraction, Decomposition, and Argumentation

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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## Same Task but Different Learning Goals

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.

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## Mathematical Discussions: Revealing Biases

Do you use mathematical discussions to increase engagement in your classroom? In this Front and Center article, authors provide a discourse tool that can be used to reveal potential biases found in the implementation of the Five Practices.

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## A New Twist on Fraction Equations

The authors introduce an activity involving “follow-up equations” to connect with ideas children have already expressed during fraction problem solving.

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## Using Number Talks to Compare Fractions

Using this strategy, a teacher facilitates a short conversation during which students verbally explain and justify reasoning. We have found that a coordinated series of number talks supports students’ reasoning when comparing fractions.

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## Infusing SEL into the Elementary Mathematics Experience

Returning to in-person learning after COVID-19, our goal was to use our district’s framework along with the CASEL 5 to help us address the social and emotional learning needs of our students without losing the integrity of the mathematics.

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## Promoting Equitable Problem Solving with Numberless Math Stories

Use these three strategies to support student perseverance and discourse about context.

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## Exploring Relative Size with Relative Risk

The Relative Risk Tool web app allows students to compare risks relating to COVID-19 with other more familiar risks, to make multiplicative comparisons, and to interpret them.

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## Math Chat Opportunities Abound!

This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.

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## Facilitating Student-Created Math Walks

An example of an after-school club activity gives educators some tools and suggestions to implement such an approach in their schools.