This project examines the nature of adaptive expertise in mathematics education, exploring relationships between this concept from cognitive psychology and effective middle school mathematics instruction. One goal of the project is to operationalize adaptive expertise in mathematics classroom using three dimensions: cognitive models of professional competence, instructional practices, and professional learning. Then, researchers seek to determine whether teachers who are more effective at raising student achievement are more or less adaptive.
This exploratory project is working in collaboration with teachers to increase their knowledge of mathematics for teaching in middle school. In addition to geometry and algebra, the research component of the project is providing insights into how teachers use their mathematical knowledge to increase argumentation in the classroom and to help students build skills in mathematical argumentation.
The objective of this project is to develop a toolkit of resources and practices that will help inservice middle grades mathematics teachers support mathematical argumentation throughout the school year. A coherent, portable, two-year-long professional development program on mathematical argumentation has the potential to increase access to mathematical argumentation for students nationwide and, in particular, to address the needs of teachers and students in urban areas.