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## Teaching Structure in Algebra

Exercises about glue and trees and addresses can inoculate students against their notorious tendency to reduce incorrectly when simplifying expressions.

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## Exploring Function Transformations Using the Common Core

Tying your teaching approach to the Common Core Standard for Geometry and Congruence will help students understand why functions behave as they do.

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## Is That Square Really a Circle?

Considering circles in taxicab geometry helps students with Euclidean concepts.

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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.

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## Core Conversations with Educative Dragging

The Measure-Trace-Algebratize (MTA) approach allows students to uncover algebraic relationships within familiar geometric objects.

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## Tapering Timbers: Finding the Volume of Conical Frustums

Many everyday objects–paper cups, muffins, and flowerpots–are examples of conical frustums. Shouldn't the volume of such figures have a central place in the geometry curriculum?

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## A New Perspective on Three-Dimensional Geometry

A geometric solids unit inspired by Plato's Cave Allegory uses different forms of three-dimensional objects to give students a clearer understanding of the realities of these objects.

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## Voronoi Diagrams and Spring Rain

The same rain that washes out the high school baseball team's game supplies data for a class geometry project.

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## Delving into Limits of Sequences

Through these calculus activities, students reach an understanding of the formal limit concept in a way that enables them to construct the formal symbolic definition on their own.

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## Proofs without Words: A Visual Application of Reasoning and Proof

Reasoning and Proof is one of the process standards set forth in NCTM's principles and standards for school mathematics (2000).