Most successes in intelligent tutoring systems have come in well-defined domains like algebra or physics. We investigate how to support students in acquiring ill-defined skills of intercultural competence using an online environment that employs clips of feature films from a target culture. To test the effectiveness of a set of attention-focusing techniques ("pause-predict-ponder") we created ICCAT, a simple tutor that enhances an existing classroom model for the development of intercultural competence. We ran a study in two French Online classrooms with 34 participants, comparing ICCAT versions with and without these techniques. We found that the addition of pause-predict-ponder seemed to guide students in acquiring cultural knowledge and significantly increased students' ability to reason from an intercultural perspective. Further analysis of the posttest and the post-video viewing discussion found that students in the experimental condition were significantly assisted by the prediction, and were able to maintain a high quality of discussion over time. The research thus establishes that a simple model for intercultural competence activities, enhanced with the novel pause-predict-ponder techniques, is a viable approach to creating tutors in an ill-defined domain, and possibly better suited to the demands of the domain than the standard problem-solving approach embedded in intelligent tutoring systems. (Contains 8 figures and 1 table.)