“Normativity” means “values”, with emphasis on the implicit ought they carry with them.

Brandom and others have used the word “normativity” as a way of more explicitly recalling that our affirmation of particular values implicitly carries with it a Kantian obligation to realize them in life, and that while we may choose to affirm some values rather than others (and values are only binding on us because we have implicitly or explicitly endorsed them), the meaning of the values we do so affirm is fundamentally not up to us.

This has absolutely nothing to do with empirical “normality” or social conformity. Like all ethics, it certainly does have a fundamentally social significance, but there is nothing conformist about it. Normativity in no way entails unthinking or merely obedient acceptance of prevailing attitudes. On the contrary, it implies a responsibility to participate in potential Socratic questioning of merely asserted values. In Aristotelian terms, normativity is concerned with derived ends considered under the mode of potentiality, whereas “normality” is concerned with efficient causes operating under the mode of actuality. (See also Space of Reasons; Intentionality.)