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The emergence of intelligent tutoring system (its) has opened up new avenues for the use of computers in education. ITSs are able to tackle difficult instructional problems and extend the usefulness of the computer as an instructional tool. This paper presents the work done on some aspects of the design and implementation of intelligent tutoring system for numerical method(ITNM). A didactic attempt has been made to design the tutor with dynamic adaptive behavior. A multilevel hierarchical model has been developed for the representation of domain knowledge based on various aptitude levels of students. The work also describes student modeling principles using aptitude and action level identification and overlay methods.