Maybe I’m not well versed in the arts but I see nothing worshipful about interpretative dance. What are they interpreting and how is the audience to know? It’s nice to watch and I know some of these girls work for hours to get the routine just right. I’m sure it also promotes physical fitness. But worship? How?
If you went to a dance program that had several different pieces and only one of them was written and choreographed to be an act of Christian worship, I’ll bet you wouldn’t be able to identify which one it was.
As mentioned earlier, I'm not a big fan of interpretative dance, in general. I guess that's in part because some of what I've seen left a lot to be desired. Production quality low, did not convey the "message", etc.
That said, if done well, I don't bet, I know I'd be able to identify which one would be considered to be an act of worship. The one in the link above is a good example. In dance, it tells the story of the fall from grace, temptations of sin, hitting rock bottom, fighting back, and with the Lord's help being pulled from the brink of destruction. The glory is given to God as man can't do it alone.
"What are they interpreting and how is the audience to know?"
Usually there's some indicator. Perhaps, just the name of the performance. Sometimes it's the music title or the lyrics. And/or the program may have a discriptive statement. Then, the movements, themselves, tell the story, too. Leap for joy or leap in fear. Bow in worship or bow in dispair. A skilled dancer can protray these differences and more.
2 Samuel 6: KJB
14 And David danced before the Lord with all his might; and David was girded with a linen ephod.
Psalm 30: KJB
11 Thou hast turned for me my mourning into dancing: thou hast put off my sackcloth, and girded me with gladness;
12 To the end that my glory may sing praise to thee, and not be silent. O Lord my God, I will give thanks unto thee for ever.
The most beautiful hymn that you've ever heard can be turned into a mockery of God. It's all about what a skilled performer intends to convey, whether good or evil. The premise for dance is similar. As with a singer, dress, music, rendition style, subject matter can either glorify God or the sins of the world.