Volume 99 • 2025 • Spring 2025 hero image.
Volume 99 • 2025 • Spring 2025

This issue runs wide. Stoddard looks at what preservice teachers actually notice when they describe the Standards for Mathematical Practice, and finds their attention drifts between broad ideas and specific actions depending on the standard. Two pieces test the early reach of generative AI in classrooms: Beauchamp, Walkington, and Bainbridge rewrite tasks around students’ interests with an AI tool, while Smiley, Sawyer, and Galano watch high schoolers treat Snapchat’s AI like Google and accept its mathematics without a second look.

The rest is mathematics for its own sake. Subramaniam proves a² − b² = (a + b)(a − b) without a word, Moyer continues his hyperbolic-geometry investigations in WebSketchpad, and Kaufman offers an alternative to Cantor’s diagonalization for the uncountability of the reals, written for students who never quite believed the original.


Articles

An Alternative Proof that the Real Numbers are Uncountable
An Alternative Proof that the Real Numbers are Uncountable

Richard Kaufman

2025-02-09 Volume 99 • 2025 • Spring 2025 • 1--4

Proof Without Words: a^2-b^2=(a+b)(a-b)
Proof Without Words: a^2-b^2=(a+b)(a-b)

Krishnamurthy Bala Subramaniam

2025-05-31 Volume 99 • 2025 • Spring 2025 • 5

Using Generative AI to Reframe Mathematical Tasks for Personalized Learning
Using Generative AI to Reframe Mathematical Tasks for Personalized Learning

Theodora Beauchamp, Candace Walkington and Katie Bainbridge

2025-05-31 Volume 99 • 2025 • Spring 2025 • 6--18

Examining preservice teachers' descriptions of the Standards for Mathematical Practice
Examining preservice teachers' descriptions of the Standards for Mathematical Practice

Elyssa Stoddard

2025-05-31 Volume 99 • 2025 • Spring 2025 • 19--29

High School Students View Snapchat AI to Be Like Google
High School Students View Snapchat AI to Be Like Google

Haley M. Smiley, Amanda Gantt Sawyer and Juliana E. Galano

2025-05-31 Volume 99 • 2025 • Spring 2025 • 30--37

Exploring Hyperbolic Geometry (Part 2)
Exploring Hyperbolic Geometry (Part 2)

Todd O. Moyer

2025-05-31 Volume 99 • 2025 • Spring 2025 • 38--49

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