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This research presented a problem-based e-Learning model and system framework to help teachers effectively develop knowledge of “mathematical teaching for students with mild disabilities” and enhance their ability to solve students’ problems on mathematics learning. This model used problem based learning (PBL) theory as the core concept to provide cases, and learning procedure for adaptive learning based on the background and experiences of the learners and the students’ learning difficulties. With this model, the learner was able to receive immediate and interactive online learning through question descriptions, online discussions, and experience sharing with other learners. This framework was different from other e-Learning platforms in that we emphasized interactive and adaptive learning based on the theories of situational learning, social constructivism, and case-based learning. In addition to personalized learning, the framework also helped guide the learner in learning, contemplating, innovating, and sharing knowledge. The learner’s benefits could therefore be maximized and the content of the learning platform could continuously be expanding and updated.

This study used Natural Language Processing technology to improve the interaction flexibility between the users and the platform. With the consideration of the characteristics of both the

student and the learner, case-base reasoning and rule-base reasoning techniques were employed to develop learning plans and provide adaptive learning resources, thus overcoming the obstacle that many users face when they cannot fully describe their problem with the keywords and fail to receive the full benefits from learning activities.

Methods for expert teacher knowledge acquisition and elicitation as well as knowledge analysis and modeling were presented. Domain concept knowledge, practical knowledge and empirical knowledge were developed and built in a knowledge repository to support problem based learning. Since ontology is capable of reducing ambiguity of information by representing domain concept knowledge in a structured format that is understandable for both humans and machines, it was used for representing domain concept knowledge, the meta knowledge of practical knowledge, and empirical knowledge to enhance knowledge sharing and to facilitate knowledge managements. In the areas of eLearning, building ontology for application domain also provides an opportunity to analyze domain concept knowledge, make domain concept knowledge explicit, separate it from operational knowledge, provide common understanding of the knowledge structure, and enable reuse of domain concept knowledge.

For further extensions, web mining techniques can be used to extract relevant knowledge from outside, and automatic knowledge extraction on content of Q&A and on-line discussion can be conducted to take the advantage of continuous expansions and upgrades of knowledge.

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