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The Hidden Beauty of Complex Numbers

Juan Carlos Ponce Campuzano

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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.

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A Radian Angle Measure and Light Reflection Activity

Hanan Alyami

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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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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Problems to Ponder

Molly Rawding and Steve Ingrassia

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

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Graphing Technology Helps Narrow the Digital Divide

Maria de Hoyos

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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Problems to Ponder

Steve Ingrassia and Molly Rawding

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

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Puddle Play!

Deanna Pecaski McLennan

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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.

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Focusing on Visual Representations in Mathematics

Angela Just and Jennifer D. Cribbs

The authors outline the importance of using variety when teaching mathematics.