Comment 13 for bug 590719

Don't know if it would matter, but another way to dock/maximize the window is via keyboard shortcuts.
It uses the Windows key (http://en.wikipedia.org/wiki/Windows_key) and then an arrow-key, with Shift for some situations. See the following:

Windows key + Left arrow = dock to the left side of the screen. If you press it again and again, it will cycle through left and right positions, also if you have multiple monitors.

Windows key + Right arrow = dock to the Right side of the screen. If you press it again and again, it will cycle through right and left positions, also if you have multiple monitors.

Windows key + Up arrow = Maximize window.

Windows key + Shift + Left arrow = Move the window from the current monitor to another monitor (towards the left). Retain the window position and dock/maximize-state.

Windows key + Shift + Right arrow = Move the window from the current monitor to another monitor (towards the right). Retain the window position and dock/maximize-state.

Not as important in this scenario, but related:

Windows key + Down arrow = minimize the window.