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Learning management systems are widely and successfully used for the delivery of self-paced online courses. This paper is concerned with enhancing the capability of such systems by introducing adaptivity in the way the information is presented to the on-line learner. Adaptivity means that the presentation style is personalised to the preferred learning style of each student, as may be modelled by a Bayesian Network. The modelling is based on learning theories that have been proven by much experience, and provide appropriate assessment procedures. Techniques for introducing two forms of adaptivity, static and dynamic are considered and two experiments, based on case-studies are devised for evaluating their potential.