This research study expands on the characteristics of mathematical discourse and examines and specifies relationships between descriptive elements across multiple content foci in mathematics. The micro-genetic study is based on examination of video data from multiple routine classroom settings with teachers who demonstrate varying levels of discourse across three curricular topics in mathematics. The resulting framework and redesigned teacher education courses will provide models on which other teacher education programs might build.
This project is using data from interviews with 160 K-12 students and 20 adults to describe common understandings and progressions of development for negative number concepts and operations. The project is motivated by the widely acknowledged finding that students have difficulty mastering key concepts and skills involved in work with integers.