A gesture is a form of nonverbal means of communication, which usually involve the movement of the hands, fingers, eyes, head, face etc.
However, in this context, the type of gesture used is the "EMBLEM GESTURE." Emblems are nonverbal signs that can commonly be interpreted directly into words. Most people within a particular community or nation understands their meaning easily. A good example is a circle with the thumb and forefinger to communicate or to say that everything is okay, although in America this is a common gesture, however, in another culture, this could mean zero or something different entirely.
Emblem is a type of non-verbal communication through gestures that can be used to replace actual words. The interpretation of an Emblem would be varied depending on where it used.
For example, in United States Judy's hand gesture would be interpreted as an 'okay' sign. In Japan on the other hand, that exact gesture would be interpreted as 'money'.
He called his royal math and science teachers his favorite subjects. There are a lot of ordinary people who love science and math subject because it gives them thrill when solving problems which use plenty of formulas to remember. So the answer in this question is, his favorite subject.