  The double spin asymmetry in the $\vec{e}\vec{p}\to e' \pi^+ n$ reaction has
been measured for the first time in the resonance region for four-momentum
transfer $Q^2=0.35-1.5$ GeV$^2$. Data were taken at Jefferson Lab with the CLAS
detector using a 2.6 GeV polarized electron beam incident on a polarized solid
NH$_3$ target. Comparison with predictions of phenomenological models shows
strong sensitivity to resonance contributions. Helicity-1/2 transitions are
found to be dominant in the second and third resonance regions. The measured
asymmetry is consistent with a faster rise with $Q^2$ of the helicity asymmetry
$A_1$ for the $F_{15}(1680)$ resonance than expected from the analysis of the
unpolarized data.
