7 weeks

By 2 months, baby's movements become more voluntary and less jerky, and your baby gains control of his neck. He also starts batting and kicking at toys. Read him simple books that have pictures of bright objects, animals or faces. Place him on his back under a baby gym so he can kick and bat at hanging toys.
Your baby's brain is expanding in size and complexity. It will grow about 5 centimeters during the first three months.
You may notice short periods of time when your newborn is quiet and alert. This is prime time for learning. Use these calm intervals to get better acquainted with your baby — talk to him, sing to him, describe the pictures on the walls. He may not be able to add to your conversation just yet, but he's learning nonetheless.
New textures for his hands to feel and new sights and sounds (all in moderation) are all learning opportunities. Even bath time becomes a laboratory for understanding the world around him.
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 he couldn't let go if he wanted to. Although he can't really grab objects just yet, he can hold things placed in his hands. And, once he wraps her hands around something, he might not let go so easily. He'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 him.
With both eyes now able to follow things consistently and well, your baby can track a moving object much better, something he 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 he 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 his face and slowly nodding your head from side to side. Often his eyes will lock onto yours.