This paper refers to the concept of semiotic and theoretic control describing resources to conduct decisions in epistemic processes. We consider an argumentation process from a complex problem-solving activity involving different conceptual frames related to parabolas. Using a micro-analytical interpretative lens, we will show that, in order to carry out the argumentation activity, semiotic and theoretic control within conceptual frames (local control) needs to be co-ordinated with control across different conceptual frames (global control). [For the complete proceedings, see ED597799.]