A lot of traveling calls (not just for UConn but in general) occur when a player "changes her mind" just before dribbling. She starts a shooting motion, then a defender appears, so she decides to drive past her -- or she starts a pass and her teammate isn't cutting like she expected, so she starts to dribble. Many times in those cases, the pivot foot has already moved before the player makes the decision to dribble.
Those are valid traveling calls. The only real solution is less indecisiveness -- not changing one's mind in the middle of the action about whether one is going to shoot, pass, or drive.
On defense, the team needs to remember that a defender can force a travel (as Evina has done a couple of times recently) by being in position before the ball handler expects it, so she has to change her plan and, in doing so, moves her feet.