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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### Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

### 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.

## Quick Reads: Using Technology to Build a Pen for Browser

### a good idea in a small package

### Leigh Haltiwanger, Robert M. Horton, and Brooke Lance

Making mathematics meaningful is a challenge that all math teachers endeavor to meet. As math teachers, we spend countless hours crafting problems that will energize students and help them connect mathematical topics to their everyday lives. Being successful in our efforts requires that we allow students to explore ideas before we provide explanations and demands that we ask questions to promote a depth of thinking and reasoning that would not occur without such probing (Marshall and Horton 2009).

### Anderson Norton, Jesse L. M. Wilkins, Michael A. Evans, Kirby Deater-Deckard, Osman Balci, and Mido Chang

Explore a new app that allows students to develop a more sophisticated understanding of fractions.

### Hyewon Chang and Barbara J. Reys

Using Clairaut's historic-dynamic approach and dynamic geometry tools in middle school can develop students' conceptual understanding before they encounter formal proof in geometry.

## Quick Reads: Engaging Geometry Students through Technology

### a good idea in a small package

### Janet B. Andreasen and Erhan S. Haciomeroglu

Dynamic software is used to teach geometry, tying into the Common Core's Standard 5, “Use appropriate tools strategically.”

### Nirmala Naresh and Bridget Royce

Students design game boards and gather experimental data to better understand the hidden mathematics in a common television game show.

### Justin T. Burris

Compare how third graders think mathematically when using virtual versus concrete base-ten blocks to learn place-value concepts.

### Kevin Phillippi

This department showcases students' in-depth thinking and work on previously published problems. The August 2012 problem scenario leverages back-to-school shopping advertisements for this real-life scenario about making purchases using discount coupons. To access the full-size activity sheet, go to http://www.nctm.org/tcm, Back Issues.

### Abdulkadir Erdogan and H. Bahadir Yanik

iSTEM: Integrating Science, Technology, and Engineering in Mathematics authors share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K-grade 6 classrooms. This article describes how optimization ideas can be fostered in early grades through a game-based activity called Avoiding Invasion from Aliens