This article investigates the support e-learning can provide for the management and marking of assignments. The work is contextualised in the importance of assessment with assignments in tertiary education, in the theories about high quality marking of assignments, and the practical experiences of academics at tertiary institutions. The tasks that need to be carried out as part of assignment management and marking are detailed. A set of requirements is derived based on the education literature and on practical needs established in interviews with academics. Possible architectures for an e-learning system implementing these requirements are suggested and arguments are provided towards using an architecture that combines existing learning management system functionality for assignments with a specialised assignment management and marking application. A specific implementation based on "Moodle" and "Lightwork" is introduced. The article concludes with thoughts on the cognitive fit of learning management systems for assignment marking tasks and their core roles in supporting teaching and learning. (Contains 5 figures and 1 table.)