That sounds like me when I was about that age. My poor mom would try to ignore me, but I would follow her anywhere in the house and continue to yell and screem. I can remember her locking herself in the bathroom to get away from me and I would bang on the bathroom door and when that didn't work I would write notes and shove them under the door. I onced screemed and yelled and banged on the bathroom door so hard that I actually passed out with my hands on the back of the door clenched into fists. Had ebay been around in those days you could have bought me for cheap, cheap cheap!
My mom got creative about how to deal with me... When I would screech about having nothing to wear and how nothing looked right (I was 5, somethings never change I guess...) My mom would grab 2 outfits and toss them in the back yard or garage depending on the weather and I wasn't allowed back in the house till I was dressed. I would bang on the kitchen window and cry that I had to pee. My little brother who would have been about 3 at the time would crack the window and yell back "Pee in the bushes!". Oh, what the neighbours must have though.
When I would yell and complain at a restaurant my mom would get my food packed up and I'd have to give it to a homeless person and I would get sent to the car (my parents always made sure they could see me). The list goes on and on. I am now a resonably behaved adult (or so I tell myself about the adult part) and all screetching was removed for my vocab by about the age of 6. It did make a slight re-appearance around the age of 13 or 14, but it didn't last long..... You can be much more creative with a 14 year olds punishment than a 4 year olds....