PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2015
Pittsburgh, Pennsylvania
Components of a formal understanding of limit
Page: 977
This presentation reports on research investigating what mathematical constructs and ways of understanding constitute a formal understanding of limit. This work builds primarily on the genetic decomposition of Swinyard and Larsen (2012), which itself was modified from Cottrill, et al. (1996). Ten undergraduate students were interviewed in a semi-structured, clinical setting. While analysis is in the preliminary stages, the data suggest that the types of tasks given have a significant influence on whether or not formal understanding is demonstrated.