For controlling resize of components, in the beginning of application configure stage:
stage.align = StageAlign.TOP_LEFT;
stage.scaleMode = StageScaleMode.NO_SCALE;
Subscribe for resizing of the stage, and implement resize of TextField:
stage.addEventListener(Event.RESIZE, onResize);
function onResize(e:Event):void {
//Implement logic, screen size is (stage.stageWidth x stage.stageHeight)
const padding: int = 20;
myTextField.width = stage.stageWidth - 2*padding;
myTextField.height = stage.stageHeight - 2*padding;
}