counting vs numeration

counting and numeration both are nouns.

Word	Noun	Adjective	Verb	Adverb
counting	Yes	No	No	No
numeration	Yes	No	No	No

As nouns, counting and numeration are synonyms defined as:

counting and numeration: the act of counting; reciting numbers in ascending order

Other synonyms of counting include count, enumeration, reckoning, tally.

counting (noun)	numeration (noun)
the act of counting; reciting numbers in ascending order	the act of counting; reciting numbers in ascending order
	naming numbers