Christine Mae, Janette Bobis, & Jennifer Way
Teacher knowledge is a significant issue for mathematics education (Sullivan, 2008a). Educational research has increasingly tried to identify characteristics of teacher knowledge for effective mathematics teaching and their influence on student learning outcomes (Bobis, Higgins, Cavanagh and Roche, 2012). With teacher performance standards now well iterated, the questions of “what [teacher] knowledge matters more, and why” (Bobis et al, 2012, p.1), remain central to improving mathematics education in Australia. This round table will outline the rationale and theoretical underpinnings of a study into the relationship between primary teachers’ subject matter knowledge and pedagogical content knowledge domains (Ball, Thames and Phelps, 2008). The Mathematics and Task Design Project is a research study involving 65 primary teachers within a system of schools. The study explores: (i) teachers’ understandings of area and volume when solving problems; the level of the tasks teachers design for their students; and, (iii) the nature of the feedback that teachers provide when analysing student work samples, and (iv) the relationships between each of these critical aspects of teacher knowledge. Data from the Task Design aspect of the study will be used to provide the stimulus for a discussion of the challenge of identifying and designing frameworks that can be applied to consistently analyse and describe the levels of opportunity and challenge within mathematical tasks.