This guy knows how to ice climb. Here’s his book he published in ‘09.
He has posted lots of ice climbing advice here on his blog. Such as:
“Solid feet make for relaxed hands. Kick twice as much as you swing.
Completely stand up and drive you hips into the ice.
If you get a stuck tool regularly you're likely placing them both at the same horizontal level. Don't.
Look at the ice. LOOK at the ice.
Swing with your elbow high, and the pick, head and shaft of the tool all in line with your wrist, forearm and upper arm.
If you want to be a better ice climber go hang a rope on a vertical piece of ice and climb it a whole lot. Like 200 or more times. With crampons off, on, no tools, one tool, etc. etc.”