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## Puddle Play!

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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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## Funky Protractors for Exploring Angle Measure

In this article, we discuss funky protractor tasks, which we designed to provide opportunities for students to reason about protractors and angle measure. We address how we have implemented these tasks, as well as how students have engaged with them.

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## Connecting Research to Teaching: Evaluating and Writing Dynamic Geometry Tasks

The advent of dynamic geometry software has changed the way students draw, construct, and measure by using virtual tools instead of or along with physical tools. Use of technology in general and of dynamic geometry in particular has gained traction in mathematics education, as evidenced in the Common Core State Standards for Mathematics (CCSSI 2010).

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## Open-ended Questions and the Process Standards

Educating students—for life, not for tests—implies incorporating open-ended questions in your teaching to develop higher-order thinking.

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## Spaghetti Sine Curves: Virtual Environments for Reasoning and Sense Making

The Spaghetti Sine Curves activity, which uses GeoGebra applets to enhance student learning, illustrates how technology supports effective use of physical materials.

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## Conceptualizing Mathematics Using Narratives and Art

To support mathematical investigations, use this framework to guide students in constructing art-based and technology-based literature.

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## Mario, Monkey Man, Fish, and Bam-Bam: Creative Terminology in Today's Classrooms

Mathematical precision means more than accuracy in computation or procedures; it also means precision in language. The Common Core State Standards for Mathematics states, “Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning” (CCSSI 2010, p. 7). In our recent experience in working with teachers and students, we have noticed a trend toward teachers using informal, and often creative, language and terminology in an effort to connect with students and make mathematical procedures easier to remember.

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## Teaching with Technology and iBooks Author

### a good idea in a small package

iBooks Author, an Apple app, can be used successfully when writing in math class.

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## A Question Library for Classroom Voting

Voting in the classroom can engage students and promote discussion. All you need is a good set of questions.