Visual knowledge appears to be an important part of problemsolving, but the role of visual knowledge in analogical problemsolving is still somewhat mysterious. In this work I present the Constructive AdaptiveVisual Analogy theory, which claims that visual knowledge is helpfulfor solving problems analogically and suggests a mechanism for how it might be accomplished. Through evaluations using an implemented computer program, cognitivemodels of some of the visual aspects of experimental participants, anda psychological experiment, I support four claims:First, visual knowledge alone is sufficient for transfer of someproblem solving procedures. Second, visual knowledge facilitatestransfer even when non-visual knowledge might be available. Third, thesuccessful transfer of strongly-ordered procedures in which newobjects are created requires the reasoner to generate intermediateknowledge states and mappings between the intermediate knowledgestates of the source and target analogs. And finally,that visual knowledgealone is insufficient for evaluation of the results of transfer.