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Conceiving Phase Shift as Time Travel

Jeffrey Connelly and Pablo Garcia

Two teachers use homemade pendulums for their students to explore phase shift in sine curves. The use of Desmos’s Activity Builder enabled students to become mathematical explorers and supported their sense of mathematical agency.

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Sea of Cycles

Paula Beardell Krieg

This article presents an example of discovering an idea through creative play. After some trial and error, I drew a wonderful image, which I later learned was a two-dimensional view of a four-dimensional shape called tesseract.

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Trigonometry and the World Water Crisis

Courtney Fox and Anna DeJarnette

This full unit in trigonometry introduces the world water crisis. Students engage in real-world problem-solving activities that access 21st-century skills while learning mathematics.

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Code of the Rings

Wood Sophia

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It’s a Wrap: A New Dimension for Sinusoids

Anna Wan and Jessica Ivy

An activity connects the features of sinusoid curves to tangible manipulatives printed on a 3D printer.

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Reasoning and Sense Making in High School Mathematics with Two Ways

S. Megan Che, Juliana Utley,, and Stacy Reeder

This article illustrates ways to extend Two Ways into high school mathematics content and advantages of doing so.