Cause and effect is solid. Your baby shakes a rattle to hear the sound, kicks a play gym to make toys bounce, and coos loudly because they've learned it gets your attention. Object tracking is sophisticated — they can follow an object that moves quickly and anticipate where it's going. Early problem-solving appears: some four-month-olds will pull a blanket away to find a partially hidden toy.
Socially, your baby is becoming a little extrovert. They initiate social contact — cooing at you until you look over, smiling at strangers until they get a smile back. Mirror play is fascinating — they're captivated by this responsive "other baby" who smiles when they smile. According to Zero to Three, their emotional range is expanding: joy, frustration, boredom, excitement, and displeasure with increasing clarity.
Babbling is diversifying beyond coos — squeals, growls, raspberries, extended vowel experiments. Every raspberry and every squeal is your baby calibrating the motor control that will eventually produce words. Laughter may arrive this month, and it will be wildly contagious.