This report validates a novel quantitative methodology for analyzing moment-to-moment interactions in classrooms called the Poisson Process Methodology (PPM). PPM differs from moment-to-moment qualitative and quantitative analyzes typically used in education by using time-series data to quantify the degree to which the presence of facilitator…

There has been a long history of research into errors and their role in the teaching and learning of mathematics. This research has led to a change to pedagogical recommendations from avoiding errors to explicitly using them in lessons. In this study, 22 mathematics lessons were video-recorded and transcribed. A conversation analytic (CA) approach…

In this article we examine the development, over 1 year, of mathematical discourse communities in 2 eighth-grade mathematics classes in a suburban public middle school. The curriculum topics included probability, functions, graphing, data analysis, and pre-algebra. The 50 students were heterogeneously placed; most were from upper-middle-class…