language teaching vs teaching

language teaching and teaching both are nouns.

Word	Noun	Adjective	Verb	Adverb
language teaching	Yes	No	No	No
teaching	Yes	No	No	No

As nouns, teaching is a hypernym of language teaching; that is, teaching is a word with a broader meaning than language teaching:

language teaching: teaching people to speak and understand a foreign language
teaching: the profession of a teacher

Other hypernyms of language teaching include instruction, pedagogy.

language teaching (noun)	teaching (noun)
teaching people to speak and understand a foreign language	the profession of a teacher
	the activities of educating or instructing; activities that impart knowledge or skill
	a doctrine that is taught