This article explores innovations in and pedagogical approaches to Responsible Entrepreneurship Education (REE), with a specific focus on how to advance responsible entrepreneurial competencies (“know-how”) and entrepreneurial practices (“know-that”). Consequently, this article proposes the “4Rs” framework (re-imagining, reconfiguring, reshaping, and reforming) to guide entrepreneurship educators’ actions. Firstly, it is necessary to “re-imagine” the intended and enacted curriculum to develop a contemporary awareness and knowledge of social and environmental enterprises. Secondly, it is essential to “reconfigure” teaching pedagogies to problematize the entrepreneurship environment and outer world. Thirdly, it is required for educators to “reshape” the attained curriculum with the stakeholders to offer learners co-curricular and extracurricular experiences. Finally, pedagogical “reforms” provide an opportunity to incorporate innovations into the discovery of new knowledge and paths of responsibilities. These pedagogical approaches support entrepreneurial learning as “processes” and entrepreneurship as a “process” aligned to the achievement of responsible entrepreneurial behavior.