  We explore the ability of measurements of the 21-cm power spectrum during
reionization to enable the simultaneous reconstruction of the reionization
history and the properties of the ionizing sources. For various sets of
simulated 21-cm measurements, we perform maximum likelihood fits in order to
constrain the reionization and galaxy formation histories. We employ a flexible
six-parameter model that parametrizes the uncertainties in the properties of
high-redshift galaxies. The computational speed needed is attained through the
use of an analytical model that is in reasonable agreement with numerical
simulations of reionization. We find that one-year observations with the MWA
array should measure the cosmic ionized fraction to ~ 1% accuracy at the very
end of reionization, and a few percent accuracy around the mid-point of
reionization. The mean halo mass of the ionizing sources should be measureble
to 10% accuracy when reionization is 2/3 of the way through, and to 20%
accuracy throughout the central stage of reionization, if this mass is anywhere
in the range 1/3 to 100 billion solar masses.
