We report photometry of the dwarf nova DI Ursae Majoris during 1997-1998. T
he star shows an orbital light curve at quiescence with a period of 0.05456
4(1) days. During superoutburst, it flashes superhumps with a period of 0.0
5529(5) days. The superhump period excess of 1.3% is quite low among catacl
ysmic variables, suggesting a weak perturbation on the accretion disk and t
herefore a secondary of very low mass. But other stars of low period excess
are rare eruptors, whereas DI UMa is extremely active with normal outburst
s every 8 days and superoutbursts every 30-45 days. This is puzzling. We sp
eculate that the binary really does have a secondary of anomalously low mas
s but is presently in a high state of a mass-transfer cycle.