IPA: /ˌpɛdəˈɡɒdʒɪks/
KK: /pɛdəˈgɑgɪks/
The art or science of teaching and education.
She studied pedagogics to become a better teacher.
Pedagogics is formed from "pedago" (from Greek "paidagogos", meaning a teacher or leader of children) and "-ics" (a suffix used to denote a field of study). The word refers to the art or science of teaching, particularly in relation to children.
Think of a 'teacher' ('pedago') guiding 'children' — that's why pedagogics is all about the science of teaching.