Purpose: The purpose of this paper is to examine the various models concerned with identifying learning styles and cognitive traits of students as a means to adapt teaching methods. With attention to the applicability of the models to on-line teaching strategies and requirements. Design/Method/Approach: The approach adopted in this paper is one of reviewing the prior research on models for learning styles and cognitive traits as applied to on-line learning. Practical Social Implications: This review provides some direction for future research in light of the growing use of on-line learning.