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## Parameters, Sliders, Marble Slides, Oh My!

Three different technological activities to explore parameters of quadratic functions each has its own pros and cons.

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## Visualizing Complex Roots of a Quadratic Equation

A quadratic equation was the basis for activities involving both concrete and technological representations.

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## Focusing on Visual Representations in Mathematics

The authors outline the importance of using variety when teaching mathematics.

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## Connecting Research to Teaching: Linked Representations in Algebra: Developing Symbolic Meaning

Algebra involves negotiating meaning between the worlds of mathematical ideas and the symbols that represent them. Here we examine classroom interactions and explorations as they relate to the connection of these worlds through the use of dynamically connected representations in a technology-rich environment.

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## An Unexpected Influence on a Quadratic

Using technology to explore the coefficients of a quadratic equation leads to an unexpected result.

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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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## Galileo, Gauss, and the Green Monster

Using ideas of Galileo and Gauss but avoiding calculus, students create a model that predicts whether a fly ball will clear the famous left-field wall at Fenway Park.

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## Sorting Out Ideas about Function

A card-sorting task can help students extend their understanding of functions and functional relationships.

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## Making Sense of Extraneous Solutions

Do you always have to check your answers when solving a radical equation?

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## Tasks That Make Connections through Representations

Students think resiliently about using the quadratic formula, analyzing factors graphically, finding the shortest distance between two points, and finding margin of error.