In this article we investigate the design of educational hypermedia based on constructivist learning theories. According to the principles of project and case-based learning we present the design rational of an Adaptive Educational Hypermedia system prototype named MyProject; learners working with MyProject undertake a project and the system offers a variety of learning aids to support them accomplish the project. MyProject proposes learners a set of learning activities (at different stages of a learning cycle) that contribute to the overall understanding of the problems posed or their ability to complete the project, and stimulate learners to reflect on and monitor their own learning. Moreover, MyProject allows the learners to undertake varying levels of initiative and control, offers hypermedia content in the form of realistic cases and adaptive navigation advice through the content. An expert review has been performed to evaluate the design rational, determine conformance with a list of design principles for project-based curricula, and provide appropriate feedback for further improvement. The way this review was organized as well as the report of this study including positive aspects of the design, and recommendations for possible modifications or extensions, are presented. Finally, a pilot study that aimed at investigating how understandable and manageable the learning cycle is by students, is also described. Preliminary results provide encouraging indications about the potential of the proposed approach in enhancing learner control, and promoting active and reflective learning. (Contains 2 tables and 3 figures.)