Research suggests that robotics can provide an engaging learning experience for learners with special educational needs. However, further work is required to explore the impact of robots within the classroom, particularly for learners with intellectual disabilities (ID). This paper seeks to further explore the potential effects of robots on such learners through examining engagement and goal achievement within teaching sessions. Eleven participants with ID were recruited from two countries to take part in the study using an ABAB design where the participants acted as their own controls. An appropriate learning goal for each participant was selected by the teacher and equivalent control sessions designed seeking to achieve the same learning goal but without the robot. Engagement, using eye-gaze, learning goal achievement with and without help and goals not achieved provided the outcome measures from the sessions. This study found no significant difference between the robot and the control sessions for any of the outcome measures utilized suggesting robots are as effective as teaching tools as traditional methods. Through an increased sample size and a rigorously applied experimental protocol, this study provides new data and methodological considerations for further work based on the techniques applied in this study.