The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

Tasks involving real-world contexts offer opportunities for teachers to engage students in mathematical practices (Standards for Mathematical Practice; NGA Center and CCSSO 2010). The practice of reasoning abstractly and quantitatively requires students to decontextualize and contextualize a task. Decontextualizing a task involves representing it…

This article presents a model of intercultural learning that may be used in the planning and implementation of citizenship education in foreign/second/world language teaching. The Cycle model of intercultural learning aims at the development of global citizenship and comprises four phases: noticing, comparing, reflecting and interaction. Among the…

Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…

As research has suggested, success with homework tasks directly relates to overall academic achievement (Coutts, 2004). In addition, homework provides a venue for developing organizational skills that become necessary as students learn to self-manage. Thus, the importance of developing homework strategies that support both student achievement and…

In this article, the author shares how Sally Smith, founder of The Lab School of Washington, was right about her being a "history person" when she was assigned to teach Democracy at the Lab School. The author was hired to teach Democracy in 1996, after working in the Junior High for a year as an assistant teacher. Smith explained to the author…

T-algebra is a project for creating an interactive learning environment for expression manipulation tasks of elementary algebra. Our main didactical principle has been that all the necessary decisions and calculations at each solution step should be made by the student, and the program should be able to understand the mistakes. This paper…