We study the connections among different “actors” — human as well as nonhuman — to document and understand an inquiry group’s movement toward designing and implementing Algebraic Wicked Problems (AWPs). AWPs combine both algebraic and environmental ideas. The inquiry group consists of Swedish teachers, teacher students and a researcher-teacher educator. Since AWPs have not been explored yet in teaching, it has taken a long process to imagine and trying to formulate them. Our focus on the network of connections among actors has helped to trace aspects of this long process. It has also helped identifying specific non-human actors that constitute the network such as diagrams and materials. Our analysis suggests that the process of imagining something that does not yet exist in itself also can becomes an actor.