When I was little, I wasn't really allowed out of my Mum's sight due to her being worried that something, anything may happen. My Dad was the complete opposite but as he worked all the time, my Mum had the say.
I didn't understand the worry at the time and it used to really get on my wick. I do understand the whole parent/child worry thing now but the difference between me and Mother are that where as she would worry and keep me from harms way, I tend to get my kids involved a bit. I try to anyway.