The word "pedantic" is often used to describe a person who cares too much about strict accuracy, minor technicalities, and formal rules, even in situations where such precision does not add real value. It carries a slightly negative tone, suggesting someone who nitpicks over trivial points rather than looking at the bigger picture.
Among the given options, "finicky" matches this sense closely, since it too describes a person who is overly particular, hard to satisfy, and focused on small details, which lines up well with how pedantic is used in everyday and formal English. This confirms option 3 as the correct answer.
The remaining choices are built around surface-level resemblance rather than actual meaning. "Referring to small children" borrows from the similar-sounding word "pediatric", which deals with child healthcare, a completely different field. "Teaching methodology" borrows from "pedagogy", the study of teaching methods, but pedantic is not specifically about how teaching is done, it is about an excessive, fussy attention to detail in general. "Angry" describes a mood or emotional state, which is unrelated to the idea of being overly precise or particular. Since pedantic is fundamentally about fussy attention to minor details, "finicky" is the word that matches it, making option 3 correct.