Don’t fall for the piffle that you have to wheel your bicycle in the gutter if walking on a footway with your machine, or that you have to carry a bicycle when on a footway or pedestrian crossing. Anyone pushing a bicycle is a “foot-passenger” (Crank v Brooks [1980] RTR 441) and is not riding it or driving it (Selby). In his judgment in the Court of Appeal in Crank v Brooks, Waller LJ said: “In my judgment a person who is walking across a pedestrian crossing pushing a bicycle, having started on the pavement on one side on her feet and not on the bicycle, and going across pushing the bicycle with both feet on the ground so to speak is clearly a ‘foot passenger’. If for example she had been using it as a scooter by having one foot on the pedal and pushing herself along, she would not have been a ‘foot passenger’. But the fact that she had the bicycle in her hand and was walking does not create any difference from a case where she is walking without a bicycle in her hand.”
http://www.bikehub.co.uk/featured-articles/cycling-and-the-law/