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See, Think, and Wonder Geoboard Art

Enrique Ortiz

Two original images were inspired by the use of an art studio app for digital drawings. This artistic process could be used to help created other original art and during See-Think-Wonder routines emphasizing meaningful observations and questioning skills.

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Mathematical Wonders and Reasons Abound in the Seasons

Maria Franshaw

Mathematics abounds in the beauty of the seasons. Where you live, work, or travel, how do you engage with and explore the wonders of math in our natural world?

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Math Chat Opportunities Abound!

Alice Aspinall

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

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Developing Property-Based Geometric Reasoning

Rick Anderson and Peter Wiles

Recognizing the complex nature of students’ geometric reasoning, we present guidelines and suggestions for implementing a Guess My Shape minilesson that focuses students’ attention on properties and attributes of geometric shapes.

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Student Engagement with the “Into Math Graph" Tool

Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

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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Children’s Games and Games for Children

Nat Banting and Chad Williams

This article examines the mathematical activity of five-year-old Liam to explore the difference between the mathematics games designed for children and the children's games that emerge through playful activity. We propose that this distinction is a salient one for teachers observing mathematical play for evidence of mathematical sense making.

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Odd Shape Out

big solutions to little problems

Jo Ann Cady and Pamela Wells

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

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Calendar and Solutions – August 2014

A set of problems of many types.

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Palette of Problems

Joel Amidon and Matt Roscoe

A monthly set of problems is aimed at a variety of ability levels.

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Media Clips: Mosquitoes; Pythagorean Baseball

John Donovan, Gregory D. Foley, and Thomas R. Butts

Students analyze items from the media to answer mathematical questions related to the article. This month's clips examine why raindrops do not crush mosquitoes and feature an application of the Pythagorean theorem to baseball. The mathematics involved includes dimensional analysis, ratio and proportion, and the Pythagorean theorem.