Knowledge Representation and Relation Nets

__Knowledge Representation and Relation Nets__ introduces a fresh approach to knowledge representation that can be used to organize study material in a convenient, teachable and learnable form. The method extends and formalizes concept mapping by developing knowledge representation as a structure of concepts and the relationships among them. Such a formal description of analogy results in a controlled method of modeling `new' knowledge in terms of `existing' knowledge in teaching and learning situations, and its applications result in a consistent and well-organized approach to problem solving. Additionally, strategies for the presentation of study material to learners arise naturally in this representation. While the theory of relation nets is dealt with in detail in part of this book, the reader need not master the formal mathematics in order to apply the theory to this method of knowledge representation. To assist the reader, each chapter starts with a brief summary, and the main ideas are illustrated by examples. The reader is also given an intuitive view of the formal notions used in the applications by means of diagrams, informal descriptions, and simple sets of construction rules. __Knowledge Representation and Relation Nets__ is an excellent source for teachers, courseware designers and researchers in knowledge representation, cognitive science, theories of learning, the psychology of education, and structural modeling. Front Matter....Pages i-xi Front Matter....Pages 1-1 Some Approaches to Knowledge Representation....Pages 3-22 A Labelled Digraph Model for Knowledge Representation....Pages 23-38 Cascades, Formal Schemas, and Derivability....Pages 39-53 Knowledge Structures....Pages 55-66 Presentation Strategies for CRKS’s....Pages 67-87 Accommodations and Analogy....Pages 89-100 An Example of Structural Analogy....Pages 101-118 Modelling New Knowledge....Pages 119-143 Models of Reasoning....Pages 145-157 Potential Uses of the CRKS Model....Pages 159-170 Front Matter....Pages 171-171 An Example of a CRKS....Pages 173-189 Front Matter....Pages 191-191 Introduction to the Theory of Relation Nets....Pages 193-208 Connectedness and Vertex Bases....Pages 209-214 Vulnerability....Pages 215-232 Connectivity....Pages 233-252 Subnets and Factorization....Pages 253-260 Back Matter....Pages 261-279