Creativity is socially constructed and is not an objective fact at all. How do teachers perceive students' creativity and how can they foster students' creative learning? From two case studies, one in higher education and a second on iPad-classrooms in schools, the paper reflects on didactical concepts for creativity using mobile devices. Interviews, classroom observations and qualitative data were analyzed. The results reveal that the most creativity has been observed when the teacher designed such activities for mobile learning where no correct solution is available. When there is a shift from traditionally separating ICT and education to new co-located settings where mobile devices and education merged into new learning expeditions, then there is a need to rethink traditional Didactics towards Digital Didactical Designs bridging "learning what is known" (curriculum-driven learning) and "learning when the answer is not known".