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## The Do Nothing Machine

The Trammel of Archimedes traces an ellipse as the machine’s lever is rotated. Specific measurements of the machine are used to compare the machine’s actions on GeoGebra with the graph of the ellipse and an ellipse formed by the string method.

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## Algebraic Thinking in the Context of Spatial Visualization

This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.

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## A Radian Angle Measure and Light Reflection Activity

During a Desmos activity, students adjust the measures of angles in radians to reposition a laser and a mirror so the beam passes through three stationary targets. The Radian Lasers activity can be extended to simulate project-based learning.

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## Everybody Still Plays: Virtual Engagement without Webcams On

When learning is virtual and students’ webcams are turned off, the ways that we interacted in an in-person classroom fall short. These six strategies for hearing from all students during whole-group instruction and small-group work honor students’ need to keep their webcams off.

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## Graphing Technology Helps Narrow the Digital Divide

To ensure that technology use benefits all students, it must be accessible with respect to cost and ease of use. Moreover, technology needs to be integrated by considering it from the perspective of the curriculum.

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## Puddle Play!

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## Student Engagement with the “Into Math Graph" Tool

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.

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## Integrating Machine Learning in Secondary Geometry

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™.

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## You Must Be Joking!

May 2020 For the Love of Mathematics Jokes

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## Technology Continues to Evolve

Over the past 100 years, technology has evolved in unprecedented fashion. Calculators, computers, and smart phones have become ubiquitous, yet school mathematics experiences for many children still remain without many powerful technological tools for the exploration of mathematics. We consider the evolution of some tools as we imagine a future.