Rubeus Hagrid
Care of Magical Creatures is the class which instructs students on how to care for magical beasts. Classes are held outside the castle. In Harry's first two years, the class is taken by Professor Silvanus Kettleburn who then retires "in order to enjoy more time with his remaining limbs". Dumbledore then recruits the gamekeeper Rubeus Hagrid to accept a teaching position along with his gamekeeping duties. Although Hagrid is obviously very experienced and knowledgeable, he doesn't "have a normal person's view of what's dangerous", an example being that the Care of Magical Creatures students were required to get a literally ferocious textbook called the "Monster Book of Monsters", and so consistently misjudges the risk that the animals he uses in his lessons pose to his students, which sometimes results in chaos. When Hagrid is absent, his lessons are taken over by Wilhelmina Grubbly-Plank, a witch and an acquaintance of Dumbledore's.