1. A machine implemented method for developing a lesson plan, comprising: using a graphical interface for developing a lesson plan having a plurality of keyframes for teaching a mathematical concept, wherein a keyframe is a defined step within an animation sequence and comprises indications of allowed content, display and user control; adding at least one content object to at least a first keyframe wherein the content object for each keyframe is associated with a database domain from among a plurality of database domains that include an open drawing domain database capable of translating a draw path into a freehand drawing; a shape domain database capable of translating a draw path into a two- or three-dimensional shape; a spatial object manipulation domain database allowing two- or three-dimensional shapes to be modified; a symbolic manipulation domain database that enables draw path recognition to calculate formulas and equations; a measurement domain database that displays relative dimensions based on an original draw path; a character recognition domain database for representing alphanumeric characters; a fridge magnet mode domain database for enabling an object within a display to be grabbed; an object duplication domain database for creating multiple objects and a data display domain database for providing computational cells; selecting a gesture for future use from a gesture set for controlling the at least one content object when displayed at an interactive display device for the first keyframe; associating a mutable variable for the first keyframe at least one content object with the gesture, such that a user inputting the gesture will alter the mutable variable during presentation of the lesson plan; wherein the mutable variable has a default value and a range of variable values; defining a default condition for the mutable variable; assigning a fixed variable for at least one of the plurality of key frames; adding one or more of text, label, dimension or expression to the first keyframe content; and establishing a transition gesture, such that a user inputting the transition gesture will trigger a transition between the first keyframe and a next keyframe, using animation specific to either of the first keyframe or the next keyframe, wherein the lesson plan can be operated in an advanced mode and an auto-play mode, wherein during presentation in the advanced mode a draw path is translated into the at least one content object and during presentation in the auto-play mode the at least one content object is animated without need for a draw path or user interaction; and wherein the gesture set includes single touch, multi-touch and three dimensional spatial control gestures for controlling an object from the first keyframe.