Popular models for the origin of gamma-ray bursts (GRBs) include short-live
d massive stars as the progenitors of the fireballs. Hence the redshift dis
tribution of GRBs should track the cosmic star formation rate of massive st
ars accurately. A significant proportion of high-mass star formation activi
ty appears to occur in regions that are obscured from view in the optical w
aveband by interstellar dust. The amount of dust-enshrouded star formation
activity taking place has been estimated by observing the thermal radiation
from the dust that has been heated by young stars in the far-infrared and
submillimetre wavebands. Here we discuss an alternative probe - the redshif
t distribution of GRBs. GRBs are detectable at the highest redshifts, and b
ecause gamma-rays are not absorbed by dust, the redshift distribution of GR
Bs should therefore be unaffected by dust extinction. At present the redshi
fts of GRBs can only be determined from the associated optical transient em
ission; however, useful information about the prevalence of dust-obscured s
tar formation can also be obtained from the ratio of GRBs with and without
an associated optical transient. Eight GRBs currently have spectroscopic re
dshifts. Once about a hundred redshifts are known, the population of GRBs w
ill provide an important test of different models of the star formation his
tory of the Universe.