Oh, I forgot until now how we motivated D to learn to swim. She REALLY wanted to take dance lessons (ill-fated, as I mentioned above, but we didn't know that then). I told her that once she learned to swim, she could then switch over to dance if she wanted to, but we didn't have budget or time for two different sports at the same time. And that learning to swim was very important for her safety. The carrot of dance classes definitely motivated her, and she passed the next couple of swim levels the first session she tried them