Considering the concept of critical teaching, teachers should seek to ensure the active participation of students, emphasisng the adoption of student-centred and group-centred teaching methods, which will provide students with relevant motivation for learning. From this perspective the current article focuses on a teaching proposal for the course of Ancient Greek Language in Greece and Cyprus, presenting the method of jigsaw-based cooperative learning as a teaching practice which promotes both active student participation and group cooperation. According to this teaching practice, the teacher actively involves the students in the learning process, promoting higher-level cognitive, metacognitive and emotional functions. Not only is this method compatible with the broader contemporary pedagogical and didactic principles, which aim to provoke students' interest, cultivate their social skills and relationships, develop their personal self-perception, and create autonomous and fulfilled personalities, but also it is harmonised with the main aims of the Ancient Greek Language Curriculum in these countries, which are fully aligned with both their education policy and their societal needs.