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## GPS: Perceiving Variability in Graphs

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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## Student Engagement with the “Into Math Graph" Tool

We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.

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## Supporting Preservice Teachers’ Growth in Eliciting and Using Evidence of Student Thinking: Show-Me Narrative

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## Discourse Actions to Promote Student Access

We discuss how discourse actions can provide students greater access to high quality mathematics. We define discourse actions as what teachers or students say or do to elicit student contributions about a mathematical idea and generate ongoing discussion around student contributions. We provide rubrics and checklists for readers to use.

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## Using Artwork to Explore Proportional Reasoning

By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.

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## Chivalry, at Least “Math Chivalry,” Is Not Dead!

A cartoon exploring a problem about order of operations is coupled with a full-page activity sheet.

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## Questioning the Order of Operations

Abandon mnemonics and make stronger connections between the operations and properties of arithmetic.

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## Early Algebra: Expressing Covariation and Correspondence

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## Odd Shape Out

### big solutions to little problems

Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.

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## Mystery Fractions

This activity engages students in problem solving while exploring key concepts of number theory, such as divisibility and divisibility tests, place value, fractions, and scale factors.