Your daughters insulin needs can change very quickly hit one growing spurt etc which using injections can be difficult to keep up with there ever changing needs..
This where the insulin pump is so usefull, as it can be changed very quickly to suit control needs, it can even be programed so that it tackles the different needs from a normal school day, a school day with P.E/sports activities and the more relaxed or maybe the crazy weekend..
It idea with children, if you've bolused for tea and they don't eat it all then you can if you've choosen a different bolus cancel it or if later on you start to relaise the are starting to get low you can lower the basal rate to maintain control... If as children do, when one minute they are well then the next unwell and there BG starts going up wards then you can turn the basal rate up to maintain control.. It is more pro-active to the ever daily changing needs..
Best bit is, that you only need to change (unless there's a problem) the infusion sets every 2-3 days depending on which on is used..
Same as if you do need to do a correction, it's a couple presses of the buttons, not yet another injection for little one to face.
It does have a steep learning curve to it, but you do get some good results to start, it's finding out the settings for basal and which bolus to use for what meal or occasion etc which can take the time to sort out..
One of the advantages for children, is that both the basal and the bolus can be programed to deliver a mim of 0.05 units of insulin, most pens/syringes only deal with 1unit or if very lucky 0.5 unit which still can be far to much insulin for some.