What term defines the art and science of teaching children?

The correct term that defines the art and science of teaching children is pedagogy. Pedagogy encompasses various teaching methods, strategies, and frameworks designed specifically to facilitate the learning process in young learners. It involves understanding how children learn best, their developmental stages, and the most effective ways to engage and motivate them in an educational setting.

In contrast, andragogy refers to the method and practice of teaching adult learners, highlighting the differences in how adults acquire knowledge compared to children. Igneous, on the other hand, relates to a category of rocks formed from cooled magma or lava and has no relevance to the context of teaching. Anthropology is the study of human societies and cultures and does not specifically focus on educational methods or practices. Thus, pedagogy is the appropriate term when discussing the teaching and learning process involving children.