This paper describes a simple and didactic procedure which illustrates the benefits of the visual aspects of MATLAB/SIMULINK for educational purposes. The novel didactic procedure is specially developed for transient stability simulation of a multi-machine power system given with full details. Structural details of various sub-models for a multi-machine power system are provided and their implementation in SIMULINK environment is outlined. Simulation results show that the developed transient simulation model is a powerful and promising tool for transient stability studies, and very helpful to understand transient stability phenomena for students and researchers. The most salient features of the developed MATLAB/SIMULINK-based model are simplicity of use, transparency, flexibility and expandability. These special characteristics are easy to understand and can be easily modified. Hence, these features make the proposed model suitable for both educational and research purposes. In addition, classroom experience has shown that the didactic procedure helps in consolidating a better understanding of power system transient stability.