Reaching out
Your baby's hands should be mostly open now — ready to reach out to the world. In the early days of your baby's life, grabbing was mostly automatic and instinctual and she couldn't let go if she wanted to. Although she can't really grab objects just yet, she can hold things placed in her hands. And, once she wraps her hands around something, she might not let go so easily. She'll also begin to try and bat at objects, so keep potentially dangerous objects far from your little one's reach. This means not holding hot liquids or sharp objects while you're holding her.
Learning begins now
You may notice short periods of time when your newborn is quiet and alert. This is prime time for learning: Your baby's brain will grow about 5 centimeters during her first three months!
Use these calm intervals to get better acquainted with your baby — talk to her, sing to her, describe the pictures on the walls. She may not be able to add to your conversation just yet, but she's learning nonetheless.
New textures for her hands to feel and new sights and sounds (all in moderation) are all learning opportunities. Even bath time becomes a laboratory for understanding life.
Eyes can track objects
With both eyes now able to follow things consistently and well, your baby can track a moving object much better, something she may have been able to do for only brief periods since birth.
The stores are packed with developmental toys, but you'll do just as well with everyday objects. Pass a rattle or a bright plastic ladle horizontally in front of her. Then try moving it up and down. This should attract your baby's attention, though she probably won't be able to smoothly follow things vertically for another three months and diagonally for another six months.
You can also play eyes-to-eyes by moving very close to her face and slowly nodding your head from side to side. Often her eyes will lock onto yours.