In this study, we analyse 23 prospective teachers' lesson plans for short whole-class mathematics discussions held with students at a middle school. The plans are in the form of "lesson plays", where an imagined discussion between the teacher and students is written verbatim. We use the Knowledge Quartet as a framework to investigate…

The paper reports an investigation into how a group of elementary and middle school teachers collectively attempted to solve and understand a fraction division problem using an area model. Solving the word problem required that teachers determine how many two-thirds fit into three-fourths. The teachers struggled to conceptualise fraction division,…

Teams of educators conducted lesson study independently, supported by a resource kit that included mathematical tasks, curriculum materials, lesson videos and plans, and research articles, as well as protocols to support lesson study. The mathematical resources focused on linear measurement interpretation of fractions. This report examines the…

This paper reports on the use of a profiling instrument to evaluate an in-service professional development program for teachers of middle school numeracy. Two aspects of the use of the profile are reported. One relates to the aims of the profile to reflect Lee Shulman?s seven types of teacher knowledge and to measure change in teachers with…