That is, rather than studying the effects of media or of interactive modes on learning, I vote for studying these mathemagenic activities as primary factors determining learning. Laurillard's 12 mathemagenic activities Conceptual description Teacher describes the conception. Student re-expresses the conception. Teacher redescribes the conception in the light of the student's expression or action. Student redescribes the conception in the light of the teacher's redescription.
Student acts to achieve the task goal.
Teacher's world gives feedback on the action. Student modifies actions in the light of feedback. Student reflects on action to modify description. Student adapts action in light of concept. Teacher adapts task goal in light of student's description.