Gamification has emerged as a promising approach to enhance student motivation and engagement in various educational settings. Despite its growing adoption, there remains limited guidance on how to design effective and pedagogically sound gamified learning experiences. This paper addresses this gap by presenting the PEDADI educational gamification design framework, which consists of four key phases: Preparation, Engagement Design, Activity Design, and Implementation. Drawing on established gamification models, the framework provides a structured, step-by-step process to support the development of educational gamification systems. Additionally, the paper introduces a motivation and engagement design template aimed at helping educators and instructional designers tailor experiences to diverse student needs. The PEDADI design process is also outlined, highlighting how each phase informs the next. The framework serves as a practical tool for educators and instructional designers to design engaging, learner-centered educational experiences. It lays the foundation for future research focused on its application across disciplines, as well as its integration with emerging educational technologies.