The Fourth Industrial Revolution (Industry 4.0) has posed several challenges to the educational area. One of them is to develop in students the skills to deal with modern engineering systems, such as integrative thinking (InT). Even if robotic environments have shown their potential to foster several skills, not all kinds of students are engaged in the same way by the learning activities. Therefore, research into how students engage in robotics learning activities that promote skills such as integrative thinking is required. The goal of this research is to characterize students’ engagement in learning with robots and their perceptions of this experience when they carried out activities that foster integrative thinking. To accomplish aforementioned the goal, we proposed the following research question: What are the characteristics of students’ engagement in learning with robots and their perceptions of this experience? To answer the research question, we used a questionnaire that was created and validated in the Master Research of one of the researchers. We also collected data using observations and interviews that allowed us to triangulate the findings. The participants of the study included 76 high-school students and 21 prospective teachers. We believe that the results of our study can help technology and robotics teachers to develop activities that can engage most of the students in activities that foster vital skills demanded by Industry 4.0, particularly InT skills.