Abstract

In e-Learning, the face-to-face communication between instructors and learners are more limited than in traditional learning form. This causes difficulties for the teaching and learning process. Besides, the developing learning materials in the conventional way are also becoming less and less effective to learners. Therefore, building the productive learning contents is one of the main problems for e-Learning systems. In this paper, we deal with the development of learning contents and propose a mathematical model as pedagogical domain knowledge for e-Learning, called Knowledge Graph. Based on pedagogical and teaching analyses, Knowledge Graph is able to ensure logical and complete qualities for necessary standard knowledge of a given curriculum. Especially, the model is useful for undergraduate education in the developing countries such as Vietnam, where the training context needs strong content knowledge, and good procedures for the building of training programs and curricula. It can help educational administrators, pedagogical experts, and instructors to design high quality teaching and learning materials .