FINALLY, a cute pair of slip on NARROW shoes that fit my 7 year old!! I have purchase a couple of other pairs of jumping jacks and they ran a little large. She needs a 1 1/2 and the narrow was perfect. I didn't answer the arch support question because my answer would be, they are like most other shoes...not very much arch support. She hasn't work them all day yet, but they are well made and as long she stays out of the rocks or any other things that will scratch them, because obviously the toe (like most other little kids shoes) can be scratched. We are both VERY happy to find a cute pair of narrow dressy slip-ons that fit and I got them for a reasonable price.The shoes are beautiful, and stay on my 3 (almost 4) year olds feet just fine, however the heel of the shoe is poorly designed around the ankle. There is a spot (you can see it in the image) where it goes from a hard/paten leather to the softer/suede leather near the top and the stitching of those two materials together pokes and rubs just under the ankle. Makes it impossible for her to wear them for long without needing a Band-Aid. Unfortunately, we didn't realize this flaw until we'd already worn them outside. Will try mole skin to cover that spot to see if that makes them any better.First of all, these are just adorable shoes. I bought them for my 4 year old to wear at a friend's wedding, and they would have been perfect had it not been for the back of these shoes. Near the back of the shoes where the two different materials are sewn together rub against and irritated her ankle the second she tried them on. Looking back I may have tried moleskin but for the price point they aren't as well made as I would have hoped for.I purchased these ballet flats for my daughter as a part of her school uniform. They fit well and held up well. She is hard on shoes, and I was pleasantly surprised by how well these endured normal wear. The strap is nice to keep them on her feet. She has never complained of any discomfort with these shoes. She wears them with socks, and despite the tropical climate, the shoes have never begun to smell bad.Beautiful shoeSuper cute and comfy shoes that my daughter adores! The picture really doesn't do them justice, they look so nice and elegant on her!Looks exactly as shown on picture. My daughter loves them and I'm pleased with this order.Good shoe but too small.