Done some investigating try
Preferences>
Desktop Settings click on
Windows check "
Don't show window content while dragging". It worked for me.
***EDIT****
Above does remove windows animations but produces another animation whem moing windows around; it's not a fix. The fix is to use the configuartion editor.
Menu >
System Tools>
Configuration Editor***>
or
alt F2 type in mateconf-editor
then click
desktop>
mate>
interface uncheck
enable_animations.

That should work it works on my system LM 13 MATE.
***No need to install gconf editor as Mate comes with the
mateconf-editor.