Although literature emphasizes the value of recursive reflection on problems of practice to facilitate teacher learning and change, few studies investigate teachers' iterative, evolving reflections on problems that emerge in their efforts to change their practice over time. This case study provides an in-depth, longitudinal analysis of one…

Problem-solving is of importance in the teaching and learning of mathematics. Nevertheless, a baseline investigation conducted in 2016 revealed that mathematical problem-solving is virtually missing in South African classrooms. In this regard, a two-cycle design-based research project was conducted to develop a professional development (PD)…

Teachers adapt their instructional strategies over time based on a variety of contextual constraints. In response to these challenges, teachers often have to make changes to their PBL approaches. While the literature has documented generally positive results of initial PBL implementations, less is known about the degree to which teachers adapt…

In this article, the author reports on a participant-observation case study that explored how alternatively certified, middle school teachers' expectations of tracked students affect their ability to learn to teach in ways that promote students' mathematical struggle and participation in productive mathematical discussions. Two teachers--one…

Education experts argue that using rich mathematical tasks in student-centered classrooms is especially conducive to student learning (NCTM 2000). That said, they also acknowledge that using complex tasks and developing student-centered classrooms can be intimidating and challenging for teachers (Chazan and Ball 1999). One difficulty associated…

Fraction division is generally introduced in sixth or seventh grade with this rule: "Invert and multiply." The authors examined current commercial curricula and found that few textbooks use context as a way to build meaning for the division of fractions. When context is used, the connection between the invert-and-multiply rule and the context is…

This paper is based on an online graduate program for middle school science and mathematics teachers in Texas titled Integration of Science, Mathematics and Reflective Teaching (iSMART). Launching the program for its first cohort in fall 2010, the authors attempted to answer the following two questions in this paper: (a) How do the members of the…

It is important for teacher educators to understand new alternative certification middle and high school teachers' mathematical problem solving abilities and perceptions. Teachers in an alternative certification program in New York were enrolled in a proof-based algebra course. At the beginning and end of a semester participants were given a…

This article illustrates how community service-learning can be defined and implemented as a group inquiry project in which students apply academic knowledge and social problem-solving skills. The authors examined eleven different community service-learning projects put into practice by elementary and middle school teachers who participated in…

This article looks at students doing mathematics through the lens of (artistic) performance. (Contains 10 figures.)

This study was designed to explore the ways in which preservice teachers' reflective judgment levels influenced their perceptions of and decisions about complex and ill-defined dilemmas they encountered in their field placement classrooms. Participants were ten traditional-aged juniors in a college teacher preparation program who were completing a…