Scope of graphical indices in educational diagnostics

Abstract

Knowledge representation is a key concept in psychological and educational diagnostics. Graph theory is a promising approach and its fundamentals have been applied in various fields of research and practice, e.g., decision making, project management, network problems. A graph is constructed from a set of vertices whose relationships are represented by edges. We describe various graphical indices, e.g., average degree of vertices, connectedness, cycles of graphs, and link them with educational diagnostics. We then present and discuss experimental results. We conclude by outlining the immense field of applications for graphical indices in educational diagnostics and discussing future applications. © 2010 Springer-Verlag US.