I do not know If this is the correct space to pose this question, if not, please accept my apologies beforehand.
I ask this not only in regards to native-english speakers but I have noticed that several European school systems share this, or even in books by renamed scholars the American continent is referred as "The Americas"
I wonder since when this name is being use, since it took me by surprise that The difference between the American continent, North, South, Central*, Insular, Hispano and Iberoamerica are not widely known. Also why there has not been an "official" correction?
More can always be said but here are some answers that address this question:
The United States of Vespucci's: or why didn't Amerigo Vespucci use his last name to name the continent? with an answer by u/terminus-trantor
How did Europeans figure out that the lands visited by Columbus were not India at all, but some heretofore unknown places? Was he made a hero or was he mocked when people discovered this? with response by u/TywinDeVillena
At any rate, there's nothing wrong with referring to North and South America as “the Americas." That term has essentially always referred to the North American continent (which encompasses all of Central America) and South America. There is no singular “American continent.”
The name originates from 1507 when Martin Waldseemüler drafted a world map that included portions of North and South America, with the land labeled as “America” in a Latinization of Amerigo Vespucci’s first name (Vespucci being an Italian explorer who traveled to the the Americas at the beginning of the 16th century).