Displays commonly used for testing heading judgments in the presence of rotations are ambiguous to observers. They can be interpreted equally well as motion in a straight line while rotating the eyes or as motion on a curved path. This has led to conflicting results from studies that use these displays. In this study, we tested several factors that might influence which of these two interpretations observers see. These factors included the size of the field of view, the duration of the stimulus, textured scenes versus random-dot displays, and whether or not observers were given a description of their path. The only factor that had a significant effect on path perception was whether or not observers were given instructions describing their path of motion. Under all conditions without instructions, we found that observers responded in a way that was consistent with the perception of motion on a curved path.