This article describes how different Lean principles and techniques have been adapted and applied to identify, analyze, and improve the value chain of a Software Project Management module in a computer science curriculum. This research is part of an initiative to improve the processes related to higher education teaching management, at a university, with the main goal of maximizing the value that is provided to students when taking a module. To represent and visualize the whole value chain of the module, the value stream mapping Lean management tool has been used. The essential module activities and the necessary elements to teach each one of these activities, from the first session to the final mark, were detected, collected, and represented using diagrams. The value chain analysis and review were performed by applying Lean principles and techniques. This article details several improvements to be applied to the module to eliminate the waste that did not add value to students.