Its really not up to this or any other gardening site to attempt to educate the public about invasive species. Its up the the individual. In this age of the internet and 'connectedness', that information, as well as information about plant pests and a variety of other plant related issues is available to everyone at the touch of a button.
Since 'invasive plant', 'noxious weed' etc vary state by state, the best place to be 'educated' is on the website for your state's USDA.
Fortunately the government has had the foresight to collect all this data, as well as information about the requirements for shipping/moving plants across state lines and the state by state requirements for licensure as a nursery, grower, or plant broker in one place.
nationalplantboard.org