This department provides a space for current and past PK–12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.

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### 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.

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.

### Sarah B. Bush, Karen S. Karp, Jennifer Nadler, and Katie Gibbons

By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.

A cartoon exploring a problem about order of operations is coupled with a full-page activity sheet.

### Kami M. Dupree

Abandon mnemonics and make stronger connections between the operations and properties of arithmetic.

## Odd Shape Out

### big solutions to little problems

### Jo Ann Cady and Pamela Wells

Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.

### Sonalee Bhattacharyya, Nama Namakshi, Christina Zunker, Hiroko K. Warshauer, and Max Warshauer

This activity engages students in problem solving while exploring key concepts of number theory, such as divisibility and divisibility tests, place value, fractions, and scale factors.

### Matt B. Roscoe and Joe Zephyrs

Pull on the threads of congruence and similarity in a series of lessons that explores transformational geometry.

### Sarah B. Bush, Judith Albanese, and Karen S. Karp

Students engage in an activity of predicting, collecting, organizing, analyzing, and interpreting data by exploring the frequency of names that occur over three generations.