When I used to teach in the US, I never even bothered to log landings. I'd consider myself fortunate if I could go 3 days without landing the plane, let alone 3 months. For a private or commercial student, you'll eventually have to demonstrate a few landings. Instrument or ATP, they already know how to land, and don't mind a little landing competition for fun. We had a few 10,000+ft runways nearby. It was possible to get all your landings done in one pass.
Incidentally, under the FAA, an instructor does not need to be current at night to teach night landings, as long as no passengers are on board. The student is not considered a passenger.
Also, I had no hard and fast rules determining how many landings to demonstrate before giving the student a go. For example, I'd taught many of my multi-engine students since day 1. If all was well, I'd usually just talk them through their first single engine landing.
Last edited by Check Airman; 12th Mar 2018 at 08:53.