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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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## Improving Approximations for Pi with GeoGebra

Using iPad's GeoGebra app with the Snell-Huygens method significantly improves Archimedes's process of approximating Pi.

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## Three-Dimensional Printing: A Journey in Visualization

Using simple materials, a Mathematica software application, and their knowledge of function transformations, students design and create real mathematical sculptures.

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## Authentic Tasks in a Standards-Based World

The Meeting for Lunch problem exemplifies how standards provide more than an outline of daily activities for an entire school year.

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## Thinking Deeply about Area and Perimeter

Using a 6-inch-square sheet of paper and a simple rule for creating a polygon, students can explore interesting area and perimeter problems.

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## What's Inside the Cube? Students' Investigation with Models and Technology

Applying Zometool, vZome software, and The Geometer's Sketchpad to tetrahedrons nested in cubes enhances students' spatial visualization skills.

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## Ponderings on Pocket-sized Polyhedra

Pop-up polyhedra–three-dimensional models that can be stored for future reference–are easily constructed using The Geometer's Sketchpad and give students experience in using transformations in the plane.

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## Dragging and Making Sense of Invariants in Dynamic Geometry

In this activity, students learn to make conjectures about properties that do not change.

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## Technology Tips: Exploring the Golden Ratio with The Geometer's Sketchpad

This article shows how to explore the golden ratio using GSP. Golden rectangles, spirals, triangles, and pentagons are also discussed.

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## Activities for Students: Delivered Tomorrow: Plane and Truck Geometry

Voronoi diagrams, graph theory, and geography are used to explain and demonstrate sample ground and air transportation networks.