A Shortest Adaptive Learning Path in eLearning Systems: Mathematical View

The main challenge of e-learning systems is to provide courses tailored to different students with different learning rate and knowledge degree. Such systems must be also efficient, as well as adaptive. However, the most recent researches can be classified in to two major groups. The first group emphasizes the need for E-learning to be adaptive. While the second group, emphasizes the efficiency of such systems. In this research we set an objective to achieve both efficiency and adaptivity. This can be accomplished by selecting a representative algorithm for the first group and a representative algorithm for the second one, and attempting to combine them. This is justified by the fact that the first one aimed at improving the ability to select dynamically an appropriate learning object for a specific learner, while the second one aimed at selecting a learning path that costs least time and effort. In order to decide how these two approaches can be combined, the representative approaches were further analyzed, implemented and then experimented. As a result, a formalization and some modifications to these algorithms were suggested and a new approach is proposed. (Journal of American Science 2009;5(6):32-42). (ISSN: 1545-1003).

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