Embodiments of the invention are directed to a computer-implemented system and method for facilitating electronic market participation of traders. The algorithmic trading management system may comprise an algorithm and/or sequence usage and construction module providing conditional user interface features for allowing traders to construct algorithms or sequences to structure trading orders. The system may additionally include sequence modification components for allowing traders to modify algorithms collected from external sources in order to customize trading orders. The system may further include operator intervention tools for allowing traders to manually influence sequence execution through a user interface.