Thumb over is simply moving the entire hand instead of passing the thumb under. If you play a scale and keep the thumb touching the index finger throughout, the only way to get the thumb to its next note is by moving the arm.
Do you use thumb on piano?
Conclusion: Proper thumb position is extremely important for playing piano. Each one of you have different structure of arms and hands and thus one should focus on what is most comfortable way of using your thumb over piano. Correct position of thumb at the piano would ease up learning, practicing and performing piano.
How do you stop thumbs under piano?
Alternatives to the Thumb Under
Don't even try to put the thumb under, instead simply move the arm across keeping the hand close to the keyboard. As we release the finger before the shift, we permit a tiny rotation. This minimises any break in sound that could come from lifting the hand up and away.