Innovation requires both a strong foundation in content knowledge and the ability to apply that knowledge in new ways - usually across a variety of disciplines. And it requires using all of Bloom’s skills from remembering through creating. Creating is not a skill limited to the gifted. It's something that all students can do - think of it as a new combination of old elements.
Digital technology gives students access to information and creative tools that enable them to be creators as well as consumers of content. New technologies have put students in charge of the information they access, store, analyze and share. You can’t broadcast (lecture) at students. They won’t be a passive audience. They expect information control and functionality.
For more, I recommend a site from Andrew Churches, a New Zealand educator who matches Bloom's Taxonomy with instructional technology to move students from lower to higher order thinking skills.