Introduction
Research continues to document the struggles that United States elementary school teachers face related to teaching mathematics effectively (National Mathematics Advisory Panel, 2008). Barriers to effective mathematics teaching include teachers’ beliefs in more traditional approaches (Clark et al., 2014; Stipek, Givvin, Salmon, & MacGyvers, 2001), a lack of knowledge related to the mathematics that they teach (Thames & Ball, 2010), insufficient curricula materials or a lack of knowledge on how to use them (Sherin & Drake, 2009), and pressure to teach a certain way in an effort to increase test scores (McGee, Wang, & Polly, 2013). In light of the research on mathematics teaching, it can clearly be stated as a complex process that requires specific skills and knowledge related to both pedagogy and content (Thames & Ball, 2010).
In an effort to support teachers’ mathematics instruction, professional development programs are commonly viewed as a mechanism to positively support teachers and also improve student achievement. Mathematics professional development projects are most effective when they simultaneously can support teachers’ development of knowledge related to content and pedagogy as well as how students develop an understanding of fundamental mathematics concepts. One, of the pedagogy-related processes, that has gained attention in the literature is formative assessment, specifically examining students’ mathematical thinking, analyzing data, and then making sound instructional decisions based on that information (Wiliam, 2007a; Wiliam, 2007b). Teachers who are able to effectively carry out a formative assessment process have been empirically linked to gains in their students’ mathematics achievement (Polly et al.., 2014; Wiliam & Thompson, 2007).
This chapter presents a study in which we analyzed participants who completed a professional development project designed to support primary school teachers’ use of an internet-based mathematics formative assessment system to support their mathematics teaching. Teachers participated in an 80-hour learning experience and data was collected on their use of the assessment system, their responses to reflection prompts, and their students’ scores in the formative assessment system.