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Amanda Milewski and Daniel Frohardt

Few high school students associate mathematics with playfulness. In this paper, we offer a series of lessons focused on the underlying algebraic structures of the Rubik's Cube. The Rubik's Cube offers students an interesting space to enjoy the playful side of mathematics, while appreciating mathematics otherwise lost in routine experiences.

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Amanda Milewski and Sharon Strickland

In this article we examine an analytical framework generated by secondary mathematics teachers for tracking changes to their own instructional practices across time. We describe the journey of this group of teachers through professional development focused on improving instructional practice. In the midst of that experience, teachers struggled to find an analytical tool to examine one another's practices of responding to students' mathematical ideas and ultimately overcame this problem by considering the practitioner literature and their own experiences. We also describe how we adapted the framework to investigate its use for detecting shifts in teachers' practices, sharing findings obtained from its use. Lastly, we argue for this type of collaborative work with teachers as a means to develop common language for instructional practice.