Letting go of competition
In pushing hands practice, I see a lot of students getting competitive with their partner. They start to get serious and focussed, and they see how far or hard they can push their opponent. However, getting competitive in pushing hands keeps the focus on the opponent. When are they going to move? Did they give me an opportunity just now to push them? And then, when their opponent gets a push in on them, they're hard on themselves and tend to retaliate.
Bob Klein, in his book Movements of Power
Pushing hands teaches us about ourselves and about the nature of T'ai Chi combat. Our goal is to not be struck, and to move accordingly afterwards. If our opponent doesn't counter our move, they will fall. Until then, we keep ourselves protected.
After I learned pushing hands and started to get good at it, I found myself focusing on my opponent and being really hard on myself when they were able to get a push or strike in on me. When I let go of my need to compete, I started to notice how open I was leaving myself and how tense I stayed at certain times. By letting go of being the best, I was able to address these points and move into a better defensive position.
When you find yourself getting competitive, take a moment to reflect on your behavior. Where does it come from? Then let it go and get back to what's important... learning self mastery.

