Thanks for sharing this discrepancy!
Indeed, the "beaver as relevant tool as major driver" does actually not exist in schools in EU mainland; the chance is higher you hear about the porks brought by first European-immigrants that they used for food production because of their fast reproduction numbers.
(and porks are easy to deal with, they eat everything; Once I heard someone from crime enforcement saying: "the perfect murdery would be to feed the dead body to a herd of porks because they would even eat the teeth from the body")
Not that perfect. The canadian pig-farming serial killer was eventually caught.
In English, the creature is a pig or a hog, and the meat is pork.
We also have major feral pig problems in parts of the US.