phiggsbroadband - there is no mention that the three landings have to be three separate flights, most people simply do three touch and gos if they need them, then put 3 in the landings column or in the remarks so it is clear they have met the requirement.
elsewhere in the same rule book, in the requirements for a night rating it does specifically say a full stop landing, so I would take the fact that in this instance it does not state full stop, a touch and go is fine (assuming the rules were written by the same person

)