Final answer:
The activation-synthesis theory of dreaming suggests that dreams involve memories of activities and problems of the day and are our brain's attempt to make sense of neural activity during REM sleep.
Step-by-step explanation:
The theory that contends dreams are likely to involve memories of activities and problems of the day is the activation-synthesis theory of dreaming. According to this theory developed by neuroscientist Alan Hobson, dreams are our brain's attempt to make sense of the neural activity happening during REM sleep. The theory suggests that dreaming involves constructing a virtual reality that we might use to help us during wakefulness.