Mathematical Training Systems, Theory and Practice: Training System for Linear Algebra

摘要

The semantic complexity of mathematical tasks makes the development of mathematical training systems and their use in World Wide Web particularly difficult. The authors of this paper are looking for a theoretical basis of an effective development technology for this software category. The MPIE model is chosen as the core of this technology. It is a formal model that describes the behaviour of interactive training systems. The example of an interactive mathematical task implemented in a training system "Linear Algebra" illustrates the advantages of the MPIE based architecture for the development and use of Mathematical Training Systems. In general, these advantages concern the increase of the development efficiency and are a good basis for web based authoring and training.