This paper describes the design, development, and analysis of a MOOC entitled "Approaches to Machine Translation: Rule-based, statistical and hybrid", and provides lessons learned and conclusions to be taken into account in the future. The course was developed within the Canvas platform, used by recognized European universities. It contains video-lectures, quizzes, and laboratory assignments. Evaluation was through on-line quizzes, programming assignments assessed by means of a specific code evaluation, and peer-to-peer strategies. This MOOC allowed people from various fields to be introduced to the theory and practice of Machine Translation. It also enabled us to internationally publicize various tools developed at the Universitat Politècnica de Catalunya.