We are currently working on a research project involving robots as tutors, with the goal of providing personalization within tutoring interactions. In order to build such adaptive tutoring robots, we seek to understand what types of behaviors children engage in during a learning interaction with a social robot. This project focuses on identifying salient aspects of a tutoring interaction that impact learning, and utilizing social robots to intelligently respond to these needs of children during learning. We have designed and run several HRI studies that allow children to interact with a robot tutor while completing math problems on a tablet device. The goal of these studies is to understand how various supportive behaviors that a robot tutor can employ during the interaction can be personalized to each child. Supportive behaviors include shaping help-seeking behavior, providing breaks during a long interaction, and encouraging thinking out loud during the problem-solving process.