PROCEEDINGS OF THE 23RD ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2020
Boston, Massachusetts
A comprehensive hypothetical learning trajectory for the chain rule, implicit differentiation and related rates: Part II, a small-scale teaching experiment
Page: 285
Students learn more deeply when conceptual understanding is at the forefront and connections are made between topics. With this in mind, we have created a hypothetical learning trajectory (HLT) for the chain rule, related rates, and implicit differentiation to teach them in a conceptual, connected way. In a previous paper we outlined the creation of the HLT based on nested multivariation (NM). In this second paper we describe a small-scale teaching experiment done to test the HLT. Our results suggest NM was an appropriate construct to base the HLT on, and we report on these students’ developing understandings. Based on the results, we made final adjustments to the HLT in preparation for a full-scale classroom teaching experiment.