PROCEEDINGS OF THE 15TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION (Vol 1)
2012
Portland, Oregon
Mathematical Activity for Teaching
Page: 1-256
This work aims to establish a new theoretical construct, mathematical activity for teaching – the mathematical work teachers engage in while teaching. Given this new construct, it is possible to investigate relationships and patterns of interaction between teacher activity and that of their students. By analyzing the classroom video data of mathematicians implementing an inquiry- oriented abstract algebra curriculum I was able to identify four patterns of interaction between mathematical activity for teaching, pedagogical activity, and student mathematical activity. My analysis shows a variety of ways in which teachers’ mathematical and pedagogical activity may interact– with some episodes illustrating ways in which these two forms of activity may be somewhat disjoint and other episodes illustrating ways in which these two forms of activity may be tightly integrated.