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Douglas A. Lapp, Marie Ermete, Natasha Brackett, and Karli Powell

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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Jon D. Davis

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

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Becky Hall and Rich Giacin

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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Dan Kalman and Daniel J. Teague

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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Amy F. Hillen and LuAnn Malik

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

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Jeremy S. Zelkowski

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

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Joe Garofalo and Christine P. Trinter

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

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Rose Sinicrope and Daniel V. Bellittiere

The orbits of planets about the sun and satellites about the earth are elliptical. The shape of the orbit can be described by its eccentricity and can be modeled algebraically and graphically. The exploration of orbits enriches our understanding of the mathematical representations, definitions, and connections for ellipses.

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Rose Sinicrope and Daniel V. Bellittiere

The orbits of planets about the sun and satellites about the earth are elliptical. The shape of the orbit can be described by its eccentricity and can be modeled algebraically and graphically. The exploration of orbits enriches our understanding of the mathematical representations, definitions, and connections for ellipses.

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Sheldon P. Gordon

We tell students that mathematical errors should be avoided, but understanding errors is an important tool in developing numerical methods.