1. It's a Three-Dimensional Picture of Your Powerhouse. However how hard you press the circle, that's how hard you're scooping. The Power Circle isn't isolated work for your arms or your thighs, it's work for your entire body. So don't forget to connect to your center. It's not a workout for your peripherals, it's a workout for your Powerhouse.
2. Press the Circle, Don't Squeeze. You wouldn't choke your dance partner, would you? So don't squeeze the circle. Press it (with long fingers and not a death grip). Just like we don't sit on the Pilates Chair, we sit in it, we press the circle toward our center to bring our awareness there as well. There's no prize if you break it. Work into your body by bringing your upper thighs in toward your pelvis or your scapula onto your ribs. Don't squeeze with your knees (This is not Suzanne Somer's Thigh Master)!
3. Work Without It. After you've used the Power Circle to deepen the work in an exercise, take it away and try to find the connection without it. The circle is a tool to help access your critical connections, but ultimately you should be able to work without it and find the same connections.