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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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Generalizing: The Core of Algebraic Thinking

Barbara M. Kinach

The meaningful use of symbols links context and generality.

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The Power of Problem Choice

Katherine A. G. Phelps

Fourth- and fifth-grade learners can use differentiated number sets within CGI problem structures to add and subtract fractions with unlike denominators.

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Virtual manipulatives to assess understanding

Pamela Edwards Johnson, Melissa Campet, Kelsey Gaber, and Emma Zuidema

Three preservice teachers used virtual manipulatives during clinical interviews with students of elementary school age. The technology exposed students' problem-solving strategies and mathematical understanding, promoting just-in-time teaching about the target content. The process of completing and reflecting on the interviews contributed to growth of the preservice teachers' technological pedagogical content knowledge.

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Don't Fence Me In!

Harold Reiter, Arthur Holshouser, and Patrick Vennebush

This method for counting lattice octagons strengthens students' counting skills and geometrical thinking.

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Technology Tips – Piecewise-Defined Functions on the TI–Nspire

Daniel R. Ilaria

Students generally first encounter piecewise–defined functions in the form of a step function (perhaps the postage stamp function) in an algebra class. Piecewise–defined functions do not play a central role in mathematics before calculus although they can serve as challenging examples in the precalculus curriculum. Before the advent of the TI–Nspire, entering piecewise–defined functions on the calculator was time consuming and not particularly user friendly. That has changed.

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Paint bucket polygons

Michael Todd Edwards and Suzanne R. Harper

Use photo editing software as a teaching tool to bring inaccessible polygon definitions within reach of your students' understanding.