•They reject official statistics on crime, making them part of their subject of study.•They reject structural causal explanations of crime and deviance (e.g. functionalist and realist).•They look instead at the way crime and deviance is socially constructed – how we come to label some acts deviant and not others.•They favour in-depth, qualitative approaches when investigating crime and deviance. For example, informal interviews, observation and personal documents = interpretivist!