How can I put dance into a story?

How about describing the feelings and thoughts going on with the dancer, as somewhat primary to the (secondary) dance steps? You don't want to get too technical with the dance steps, anyway, or you will have a Clancy Ballet book on your hands. Something like "Katie's pulse raced as she bounded down the pads, her arms fully extended, her feet tripping skyward at the last minute for a perfect unsupported cartwheel, then her body grinding to the rhythm -- upon uprighting -- much like she wanted to grind into Carter's perfectly-muscled..." etc. She then can spend some time thinking of him while the rest of her routine is going on, with those thoughts punctuated occasionally by moves, but not with those move descriptions filling up paragraphs worth of story. The human interest part is why people read, not to learn how to do a four-point pirouette followed by the splits.