Creativity and digital technologies are considered to be central for success and development in the current society, becoming crucial educational objectives worldwide. Nevertheless, education often fails to keep pace with creative and digital economies; this is mainly because teachers are not prepared for adopting pedagogical strategies that foster creativity or for fully exploiting the educational potential of digital technologies. Based on the seminal theories of creativity, we propose an innovative framework for applying creative teaching practices mediated by digital technologies: in the light of constructivist and constructionist approaches, we suggest a series of digital tools which are particularly suitable to the emergence of creativity, i.e. manipulative technologies, educational robotics and game design and coding. Furthermore, we shape the concept of digital creative pedagogies (DCP) and establish a set of characteristic components of teaching practices which contribute to the development of students' creativity. Drawing on a substantial body of research, the chapter intends to embed educational creativity in the digital culture.