The extremely intense NuMI neutrino beam at Fermilab, constructed for the MINOS Neutrino Oscillation Experiment, is an ideal beam for a high-statistics, low-energy neutrino scattering experiment. The MINERvA Collaboration has been approved to put a fine-grained, fully-active scintillator detector directly upstream of the MINOS near detector to study topics of interest to both particle and nuclear physicists. The NuMI beam, proposed detector, and physics topics will be outlined.