Abstract: A system is disclosed that provides an interactive rewards-based method that uses a protocol for instructional response in order to provide a motivating, individualized educational and entertaining experience. The system utilizes an interface through a computer. The system offers the user (a.k.a. student) simulated environments that represent different realities and an opportunity to solve interesting problems and learning puzzles. When the user inputs a response this calls forth a system response using the built-in Intelligent Mentor, thereby teaching the user. The iterative response process provides the user opportunities to discovery before proceeding to a higher level of the subject material. The pedagogical system uses neural nets (engine of artificial intelligence) that drive responses that are synchronized to typographical and graphical illustrations and/or pictorial illustrations used to simulate reality and to provide dynamic interactions.