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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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Escape Room Math: Luna's Lines

Micah S. Stohlmann

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

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Using Scratch Programming to Explore Coordinates

Erell Germia and Nicole Panorkou

We present a Scratch task we designed and implemented for teaching and learning coordinates in a dynamic and engaging way. We use the 5Es framework to describe the students' interactions with the task and offer suggestions of how other teachers may adopt it to successfully implement Scratch tasks.

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The Cake Contest

Colleen Haberern

Students used a pinch of this (a 3D printer and geometry software) and a cup of that (various volume formulas) to complete a tiered task.

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December 2016 January 2017 Problems

Stephan Pelikan, Anna F. DeJarnete, and Stephen Phelps

A monthly set of problems is aimed at a variety of ability levels.

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Generalizing and Skepticism: Bringing Research to Practice

David A. Yopp and Jacob L. Ellsworth

Learn why generalizing is important but that overgeneralizing can be problematic.

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Moving to a New City

E. Fanny Sosenke and Tala Councilman

A real-world problem about the cost of moving one's household from one city to another.

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Problem solving with the Sneetches

James Russo and Toby Russo

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. In this issue, teachers read the classic Dr. Seuss book The Sneetches and other stories with their class and get students to engage with these associated mathematical problems. The problems, many of which are open-ended or contain multiple solutions or solution pathways, cover a range of mathematical concepts.

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Using Scaffolding to Scale-up Justifications

Carolyn James, Ana Casas, and Douglas Grant

Encouraging students to justify earlier as they attempt to solve an open-ended task can lead to greater understanding and engagement.

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Zero Pairs: Learning about Additive Inverses

Kasandra Dickman and Laura Bofferding

This department explores a game used to help students learn about additive inverses, or “zero pairs.” Authors describe some common reasoning that students used while playing the game and provide activity sheets geared toward students in grades 5–7.