M.B.
Hi. I was like your daughter. What finally prompted me to learn to swallow a pill whole was the killer cramps I started getting. No baby med was going to touch that and out of desperation, I learned.
What I do is hold the pill gently between my teeth. I have a big glass of water (or juice, whatever) and as my mouth gets full of the water, I loosen my hold on the pill, toss my head back and swallow. It goes right down with the mouthful of water and I don't taste it or feel it. I keep drinking several more ounces to make sure it's all the way down and doesn't get stuck in my esophogus. Now, many years later, it's no big deal and I don't have to go to such extreme measures.
I hope this helps some. Good Luck!