This article focuses on students use and understanding of counterexamples and is part of a research project on the role of examples in proving. We share student interviews and offer suggestions for how teachers can support student reasoning and thinking and promote productive struggle by incorporating counterexamples into the classroom.

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## 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).

### Joel Amidon and Matt Roscoe

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

### Signe E. Kastberg, Beatriz S. D'Ambrosio, Kathleen Lynch-Davis, Alexia Mintos and Kathryn Krawczyk

A Cherry Syrup problem can build links between ratio and graphing.

### Joel Amidon and Matt Roscoe

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

### Jennifer Suh and Padmanabhan Seshaiyer

Skills that students will need in the twenty-first century, such as financial literacy, are explored in this classroom-centered research article.

### Joel Amidon and Matt Roscoe

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

## Quick Reads: Journaling: Out with the Old

### a good idea in a small package

### Shelli L. Casler-Failing

Students' writings in math class can be used for both reflection and assessment.

### Gloriana González and Anna F. DeJarnette

Students develop ownership and increase their understanding of mathematics when they are allowed to discuss alternative perspectives.

### Leigh Haltiwanger and Amber M. Simpson

Allowing students to write in mathematics class can promote critical thinking, illustrate an awareness of mathematical connections, and result in clear communication as they share ideas comfortably with peers.