Not all educational institutions encourage creativity and it is therefore vital that more attention be placed on the importance of understanding specific strategies that foster creativity at all levels in the classroom. Creativity conferences and workshops have become internationally common and have resulted in positive change-based initiatives in the field of creativity. These creativity research initiatives have attempted to provide a framework for educating "digital natives" and this framework provides the knowledge and skills necessary for students in the 21st century. We suggest that the development of creativity should be fostered with students through creative thinking and problem solving. This targeted development of student creativity may increase their personal fulfillment and increase their employability in our changing knowledge-based societies. In addition to creativity representing an important 21st century skill, it is a field that has experienced increased awareness, and it is fundamental to who we are as human beings. This paper presents definitions, theories, and achievements in the field of creativity from the educational domain of computer science.