We consider how the existence of different signifiers for mathematical objects in different languages manifests in discourse about those objects. Based on the observation that there is a common signifier "derivative" in English used for both the derivative at a point and the derivative function and two phonetically and semantically different signifiers for those objects in Korean, we explore the differences between one Korean teacher's discourse and one American teacher's discourse about the derivative. Our analysis uncovered differences in metarules regarding the use of signifiers, as well as differences in possible connections to colloquial discourse. Additionally, we found that, after both objects are defined, the American teacher's discourse shifts in a way that precludes the simultaneous use of the common signifier for both objects whereas, in the Korean teacher's discourse, there was no similar shift. [For the complete proceedings, see ED630210.]