In this paper we look at some of the ingredients and processes involved in the understanding of mathematics. We analyze elements of mathematical knowledge, organize them in a coherent way and take note of certain classes of items that share…

I shall describe a model of the evolution of the rule-structured knowledge that serves as a cornerstone of our development of computer-based coaches. The key idea is a graph structure whose nodes represent rules, and whose links represent various evolutionary…

The construction of expert problem-solving systems requires the development of techniques for using modular representations of knowledge without encountering combinatorial explosions in the solution effort. This report describes an approach to dealing with this problem based on making some knowledge…

The computational metaphor which proposes the comparison of processes of mind to realizable or imaginable computer activities suggests a number of educational concerns. This paper discusses some of those concerns including procedural modes of knowledge representation and control knowledge ??owing…

We use analogy when we say something is a Cinderella story and when we learn about resistors by thinking about water pipes. We also use analogy when we learn subjects like Economics, Medicine and Law. This paper presents a theory…

Automated Program Analysis is the process of discovering decompositions of a system into sub-units such that the behavior of the whole program can be inferred from the behavior of its parts. Analysis can be employed to increase the explanatory power…

This thesis demonstrates how the use of a global context can improve the power of a local character recognizer. The global context considered is a computer tutor of high school algebra that observes a student working algebra problems on a…

My dissertation centers on the meaning of dreams as interpreted by literati in the late Ming (1368-1644), viewed through the lens of the 1636 encyclopedia Forest of Dreams. This thirty-four-juan tome is the largest extant Chinese dream encyclopedia and includes…

The genetic algorithms have seen applied in knowledge discovery and specially for discovering association rules. In this paper, we explore the use of di erent rule quality measures in the tness function in a genetic algorithm for discovering association rules.…

This paper descries D-SCRIPT, a language for representing knowledge in artificial intelligence programs. D-SCRIPT contains a powerful formalism for descriptions, which permits the representation of statements that are problematical for other systems. Particular attention is paid to problems of opaque…