The primary goal of the investigation is to determine the effects of the Mendelsohn maneuver (voluntary prolongation of laryngeal excursion at the midpoint of the swallow) on the physiology of the swallow in individuals who have suffered a stroke and exhibit signs of pharyngeal dysphagia (specifically, reduced duration of hyoid maximum elevation, reduced extent of hyoid maximum elevation, reduced duration of hyoid maximum anterior excursion, reduced extent of hyoid maximum anterior excursion, and reduced duration of upper esophageal sphincter (UES) opening with subsequent residue in the pyriform sinuses and, potentially, aspiration). Participants are assessed with videofluoroscopy at the initiation of the study and after each week of the study. After the 4 weeks of participation are complete, all participants will be discharged from treatment and will be brought back to the clinic for a final Videofluoroscopic Swallow Study (VFSS) evaluation after 2 weeks. This means that individuals in Group 1 will be re-analyzed after 1 month of additional no-treatment, and Group 2 will be re-analyzed after 2 additional weeks of no-treatment.