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Enactive Educational Ecosystem for the Emergent Learning of Polar Graphing

Dr. Steven Greenstein’s Choreomathematics course in the doctoral program in Mathematics Education is working on this new model

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shakeyyjones with the Choreomathematics class on a train in NYC

Each week in class, they pose and pursue their own mathematical inquiries into the wild world of the polar coordinate system through pole-based movement and with other invented tools, tasks, and practices. As they do so, they reflect on how spaces, bodies, things, and feelings shape our mathematical thinking and enliven our understandings. It’s a curious playground, for sure.

At a pivotal moment in their inquiry, they recently joined renowned NYC subway dancer, Ikeem Jones (), on the E-train where he gave them all kinds of choreo-mathematical things to think about. And be in awe of. Check him out. In the first video, he’s doing what he does. In the second one, he’s enacting his interpretation of the 4-petal graph of r = sin 2θ.

these graphs are (not) the same