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## Activities for Students: Dealing Cards with Confidence

When understood and applied appropriately, mathematics is both beautiful and powerful. As a result, students are sometimes tempted to extend that power beyond appropriate limits. In teaching statistics at both the high school and college level, I have found that one of students' biggest struggles is applying their understanding of probability to make appropriate inferences.

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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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## 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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## The Popcorn Box Activity and Reasoning about Optimization

Investigating rates of change in volume without calculation leads to an enriched sense of the optimization process and encourages reflection and connection among different approaches.

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## Technology Tips: Exploring Three-Dimensional Worlds Using Google SketchUp

Google SketchUp is free, powerful and widely used Computer Aided Design (CAD) software that can have a transformative impact on the teaching of geometry. This article introduces Google SketchUp to readers through lessons that can be integrated into geometry classrooms and also provides additional resources for readers interested in learning more.

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## Sketching Up the Digital Duck

Two preservice teachers describe how using Google SketchUp, Terrapin Logo, and The Geometer's Sketchpad fosters a deeper understanding of measurement concepts.

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## Delving Deeper: Teaching the Unthinkable in Introductory Statistics

Most teachers have encountered students who are able to successfully carry out statistical computations but lack a conceptual understanding of the subject. The introduction of technology seems to have had little corrective effect on this problem. This article suggests that the introduction of some modern computer intensive techniques not usually found in introductory courses may redirect students' focus from computational success to conceptual understanding.

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## Technology Tips: Teaching Sampling Distributions Using Autograph

The author uses Autograph, a powerful software program, to illustrate sampling distributions and to demonstrate the central limit theorem.

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## Mathematical Lens: A Mathematical Pyramid Scheme

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph. This month, the photographs are of a pyramid in Egypt, and students are asked to compute volume, slant height, and the ratio of the base of the pyramid to its height.