Short video showing the famous kayak drill by University of Michigan Head Coach Mike Bottom.
Great description of the kayak drill by Coach Erik (seen on SwimSwam.com):
Use your kick board as a paddle. Grab it on the ends and while on your back, push water towards your feet. Right arm goes in first on the right side and likewise with the left. You connect from your core, out to your arm – focus on that connection. Recover your arms like backstroke, you could think of it as double arm backstroke with rotation.