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## Mathematical Connections: Many Faces of the Truncated Icosahedron

Examine this geometric figure in light of a set of connections among fields such as architecture, geometry, science, sports, technology, and associated uses, models, and discoveries.

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## Exploring Geometry with Origami One-Cut-Heart

One-Straight-Cut-Heart activities can help teachers support students’ engagement with geometry and can deepen students’ geometric reasoning.

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## Understanding Similarity through Dilations of Nonstandard Shapes

This set of tasks progressively engages students in geometric proportional reasoning.

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## Exploring Sequences Related to Medial Triangles

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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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## The Shape of Art: Mathematics Connections

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Each month Asked & Answered highlights selected threads from the MyNCTM community. MyNCTM is an online community where NCTM members can ask questions, start and join discussions, and interact with education experts. We encourage you to join the conversation at https://my.nctm.org.

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## Conditional Reasoning Online with Mastermind

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

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## GPS: Equivalent Expressions

Equality is one of the main concepts in K–12 mathematics. Students should develop the understanding that equality is a relationship between two mathematical expressions. In this month's GPS, we share tasks asking students one main question: how do they know whether or not two mathematical expressions are equivalent?