RUME 28
2026
Alexandria, Virginia
A Quantities-based Task for Simultaneously Constructing Limits-at-a-Point and Differentials
Page: 1125
The limit is a key calculus concept, but research has clearly shown how important differential-based reasoning is, as well. Thus, calculus education would benefit from paradigms that construct both in a way that they can coherently co-exist. In this preliminary report, we discuss a small piece of a larger project meant to build one possible paradigm. Here, we describe a single quantities-based task that is meant to develop both limits and differentials together, in the same activity. We also provide preliminary results on two pairs of students’ emerging understanding.