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The Hidden Beauty of Complex Numbers
Juan Carlos Ponce Campuzano
Perspectives from Physics: Constraints on Our Curriculum
Victor Mateas
How trigonometry is used and portrayed differently in mathematics and physics textbooks highlights potential sources for student struggle, constraints on our trigonometry curriculum, and lessons learned when looking across STEM disciplines.
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.
Puddle Play!
Deanna Pecaski McLennan
Student Engagement with the “Into Math Graph" Tool
Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton
We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.
Integrating Machine Learning in Secondary Geometry
Joshua Jones
Despite the importance of artificial intelligence in our daily lives, it has yet to be integratedinto K–12 classrooms in a meaningful way. Explore a lesson in which geometry students useEuclidean distance to implement a functional machine learning algorithm in Google Sheets™.
Envelope Curves Unify Sinusoidal Graphing
Christopher Harrow and Ms. Nurfatimah Merchant
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.
Now: The Metamorphosis of the Educational World
Zachary A. Stepp
“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?”.
Modeling a Bouncing Ball with Exponential Functions and Infinite Series
Tim Erickson
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.
Pi
Joe F. Allison
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.