PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2017
San Diego, California
Instrumental genesis and generalization in multivariable calculus
Page: 1219
Raising Calculus to the Surface is a multi-year project designed to introduce important topics frommultivariable calculus through the use of physical manipulatives. This report focuses on datacollected through a series of task-based interviews with multivariable calculus students enrolledin a course featuring these manipulatives. To explain the students’ activity, a two-dimensionalframework was designed based upon characterizations of their interaction with the instrumentsand the generality of their mathematical activity. The report concludes by discussing thecontributions to the field and possible future uses of the framework.Key words: