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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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## Triangles from Three Points

Using technology to solve triangle construction problems, students apply their knowledge of points of concurrency, coordinate geometry, and transformational geometry.

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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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## Cultivating Deductive Thinking with Angle Chasing

This approach to determining measures of angles fosters stronger understanding of formal proof.

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## Angry Birds Mathematics: Parabolas and Vectors

Vector properties and the birds' frictionless environment help students understand the mathematics behind the game.

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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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## Media Clips: Optimizing HDTV Viewing Angles; Onside Kicks

Students analyze items from the media to answer mathematical questions related to the items. This month's clips are from an ad for HDTVs, which involves trigonometry and calculus, and from a sportscast, which involves probability and the binomial distribution.

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## Reader Reflections – August 2013

Readers comment on published articles or offer their own ideas.

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## Visible Thinking in High School Mathematics

Chalk Talk and Claim-Support-Question are two routines for developing students' ability to use multiple representations and encouraging classroom discussion.