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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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## Frustration: Analyzing a Card Game with Probability

A new classroom-tested lesson was designed to engage students in the joy of mathematical inquiry through a game, while building number sense, understanding of uncertainty, statistical reasoning, and discourse skills.

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## Give Plants an Inch; They’ll Take a Yard

A real-world integrated activity allows middle school students to design a scale drawing for a garden at their school.

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## Golden Circles

An artist uses graphic tools and circles to illuminate the illusive concept of the golden ratio.

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## Understanding Similarity through Dilations of Nonstandard Shapes

This set of tasks progressively engages students in geometric proportional reasoning.

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## Looking for Math in All the Right Places!

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

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## Linking Oral and Written Arguments

Teaching transparently about the process and goals can support students as they make and support mathematical claims.

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## Using CODAP to Grow Students’ Probabilistic Reasoning

Draw on two simulations to introduce compound events and help your class make connections between experimental and theoretical probabilities.

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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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## The Importance of Play in Middle School Mathematics

Using question 28 from the May Problems to Ponder in volume 114, the author and her seventh- and eighth-grade students launched into a discussion of creativity, linearity, piecewise, and recursive definitions of functions. This pattern to ponder provided rich mathematical opportunities for all students in my middle school classroom.