  Amdeberhan conjectured that the number of $(s,s+2)$-core partitions with
distinct parts for an odd integer $s$ is $2^{s-1}$. This conjecture was first
proved by Yan, Qin, Jin and Zhou, then subsequently by Zaleski and Zeilberger.
Since the formula for the number of such core partitions is so simple one can
hope for a bijective proof. We give the first direct bijective proof of this
fact by establishing a bijection between the set of $(s, s+2)$-core partitions
with distinct parts and a set of lattice paths.
