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An Alternative Approach for Defining a Quadratic Function

Defining a quadratic function through the slopes of its secant/tangent lines leads to the fundamental theorem of calculus (FTC) and an alternative way of understanding integration.

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Approximating Pi

This method using the area of regular polygons inscribed in circles to approximate a value for pi is similar to the method used by Archimedes using circumferences.

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Puddle Play!

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Calculus Saves Lives! Motivating Mathematics

Mathematics and technology serve the health sciences as demonstrated in this article,cowritten by one of our calculus students. Creating a lesson based on dosing an antibioticallows teachers and students to see the immediate value of high school calculus and technology.

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Cultural Connections: Exploring the Mathematics of Qatayef

Students grapple with the problem of finding the volume of two different folds of a traditional Levantine dessert using either geometry or calculus.

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You Must Be Joking!

May 2020 For the Love of Mathematics Jokes

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Envelope Curves Unify Sinusoidal Graphing

Transferring fundamental concepts across contexts is difficult, even when deep similarities exist. This article leverages Desmos-enhanced visualizations to unify conceptual understanding of the behavior of sinusoidal function graphs through envelope curve analogies across Cartesian and polar coordinate systems.

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Now: The Metamorphosis of the Educational World

“It's a YouTube World” (Schaffhauser, 2017), and educators are using digital tools to enhance student learning now more than ever before. The research question scholars need to explore is “what makes an effective instructional video?”.

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Modeling a Bouncing Ball with Exponential Functions and Infinite Series

We modify a traditional bouncing ball activity for introducing exponential functions by modeling the time between bounces instead of the bounce heights. As a consequence, we can also model the total time of bouncing using an infinite geometric series.

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Pi

When I was in graduate school, my math professor, using a straightedge and a compass, marked off a unit distance and then halved it. He said he could halve the exact ½ again and exactly get ¼. He was leading up to infinite series.