A generative computer-assisted instruction system is being developed to tutor students in analytical geometry. The basis of this development is the thesis that a generative teaching system can be developed by establishing and then stimulating a simplified, explicit model of the human tutor. The goal attempted is that of a computer environment adaptively responsive to the varieties of human personality. Housekeeping routines to handle input and output and format translations within the computer have been developed. Algorithms are used in the generation of problems; and answers are calculated, sometimes by simple expedients. Diagnostic dialogues to identify the specific causes of student errors are also produced by generative algorithms. Remedial routines to correct the deficiency in the student's repertoire of skills have not been prepared. Utility routines to assist the student upon his command are available. In summary, the notion of generative computer tutoring is thought to be a valid step forward for subject matters which have the degree of logical organization necessary for algorithmic evaluation. (MF)