Although Human-Computer Interaction research has developed various theories and frameworks for analyzing new and existing interactive systems, few address the generation of novel technological solutions, and new technologies often lack theoretical foundations. We introduce Generative Theories of Interaction, which draw insights from empirical theories about human behavior in order to define specific concepts and actionable principles, which in turn serve as guidelines for analyzing, critiquing and constructing new technological artifacts. After introducing and defining Generative Theories of Interaction, we present three detailed examples from our own work: Instrumental Interaction, Human-Computer Partnerships, and Communities & Common Objects. Each example describes the underlying scientific theory and how we derived and applied HCI-relevant concepts and principles to the design of innovative interactive technologies. Summary tables offer sample questions that help analyze existing technology with respect to a specific theory, critique both positive and negative aspects, and inspire new ideas for constructing novel interactive systems.