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## Scribing: A Technology-Based Instructional Strategy

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## Mathematical Lens: The Soft Drink Wars

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph. This month, two differently shaped soda containers are compared. Volumes, including volumes of revolution, are computed.

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## Geometric Reasoning about a Circle Problem

An open-ended problem about a circle illustrates how problem-based instruction can enable students to develop reasoning and sense-making skills.

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## Stop Teaching and Let Students Learn Geometry

A geometry course for teachers—easily adaptable to a high school geometry class—integrates technology, reasoning, communication, collaboration, reading, writing, and multiple representations.

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## Multiple Proof Approaches & Mathematical Connections

Using technology to explore the Three Altitudes of a Triangle problem, students devise many proofs for their conjectures.

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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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## September 2016

A set of problems of many types

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## Geometry + Technology = Proof

Symbolic geometry software, such as Geometry Expressions, can guide students as they develop strategies for proofs.

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## Delving Deeper: Approximating π Using Similar Triangles

This article presents a method for approximating π using similar triangles that was inspired by the author's work with middle school teachers. The method relies on a repeated application of a geometric construction that allows us to inscribe regular polygons inside a unit circle with arbitrarily large number of sides.

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## Addressing Common Misconceptions with Informal Arguments

This activity allows students to build their own understanding of what it means to develop a solid argument.