Almost 37 weeks here and definitely less movement...well, less BIG movement.
My midwife said the baby should be moving just as much, but the quality of the movements will be different. Instead of noticeable kicks and swoops, they'll be subtle, tiny adjustments that we may not notice unless we're actively paying attention. She said if I was worried to drink a cold glass of juice, lay on my side and see if I get ten of those in an hour. The first time I tried it and actually paid attention, I got ten in about 5 minutes, made me feel a lot better.