Human creativity is a complex process that can be evaluated in a wide range of domains and tasks. The domain and task-specificity of human creativity challenge the process of designing AI-based tools to support teachers' and learners' creative engagement. In this study, we introduce the 5c21-AI framework to look at the 21st-century skills that modern education needs to teach, with a focus on creativity and critical thinking. After introducing the 5c21-AI framework, we analyze 41 studies using AI in education in order to identify the level of creative engagement they are able to support from primary education to Higher Education. The results show the most usual way of supporting learners' creative engagement is through intelligent tutoring systems (ITS), which rely on the second level of creative engagement of the 5c21-AI framework. In this second level, the AI tool shows adaptive behavior based on the learners' interactions but does not engage the learners in creating new ideas or solutions. We analyze 13 cases where learners and teachers get help with their own creative processes, but only two cases of collective creativity support at the individual level. None of the AI tools in education supports collective creativity among teachers.