Yes, I think its normal. The baby has a lot less room to move around now, its getting a bit cramped in there! Also, he may be resting and storing fat in preparation for the big move!
If in serious doubt ask your midwife.
I agree, the baby should still be moving but the movements don't feel as strong because there is less space in there.
If in doubt, have an ice cold drink and have a lie down so you can concentrate on the movements for an hour or so. It may be that if the movements are little shuffles not big kicks, you aren't noticing them because of your own activity.
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