• Lay your baby on her tummy on a blanket. According to MayoClinic, a baby this age should have 20 minutes (or more) of tummy time per day, which helps her strengthen her neck and shoulder muscles. Gather some toys or other baby-safe household objects nearby, then lie down on your stomach in front of her so your face is a few feet from hers.
• Walk your fingers up and down and back and forth in front of her for a few minutes. Make them dance and skip quickly too, scuttling toward her like they're going to catch her. She might happily watch your fingers dance around, or she might try to reach out and grab them.
• Place one toy at a time in front of her, far enough from her face that she has to reach for it. Let her grab each item and play with it for a minute. Give her blocks, rattles, soft balls, sturdy vinyl or cloth books -- any baby toys that can't hurt her when she inevitably mouths them. Take an item away every few minutes and replace it with something new for her to explore.
• Continue showing your baby items until she starts getting fussy or seems disinterested. Scoop her up into your lap so she faces you, or sit her up in front of you wit support behind her since she probably won't be able to support her head until she's about 4 months. Make faces at her, play peek-a-boo with your hands and initiate a conversation. Enjoy the smiles meant just for you. She should be interested in mimicking sounds at this age, says HealthyChildren, so try talking to her -- leaving gaps in your speech for her to "respond."
• Turn on music with a strong beat. Clap your baby's hands or tap her feet against the floor in rhythm to the song. Hold her as you dance slowly around the room, singing or humming along to encourage her to babble along.
• Carry your baby around the house, around the neighborhood or even around a grocery store. Stop every few minutes so she can examine whatever's nearby, as you narrate everything. For instance, walk around the living room saying things like, "Let's look out the window. I see a car! I see a bird!"
• Settle down with books on the couch or in a rocking chair. She might not be interested in books yet; according to PBS.org, but in another month she will be interested in exploring baby books with mouths and hands. At 3 months she is probably already enjoy repetition in stories, rhymes and lullabies you read and sing to her. Sitting with her, quietly cooing the words of a story and letting her touch the pages is ideal for helping her wind down before a nap.

• She'll tire easily at this stage, and since she's constantly learning from observing her environment, there might be long stretches during which she's perfectly happy to sit in a bouncy chair and watch you pay bills.

Crying
CYH.com, a website dedicated to child and youth health, reports that crying is how babies 0 to 3 months old communicate all their needs: Hungry? Sleepy? Wet? Soiled? Lonely? Scared? To every question, the answer is tears. Babies can feel overwhelmed because of the new sounds, sights, smells and sensations outside of the womb; crying is also their way of expressing their frustration.

Parents must be careful to remain as calm and peaceful as possible because babies are extremely sensitive and mistake other people's emotions for their own. A newborn being cared for by a sleep-deprived, frustrated mommy will cry because of its mother's feelings.

As parents grow more accustomed to the habits and sounds of their baby, they will begin to notice changes in the tone, pitches and lengths of its cries. Eventually parents should be able to discern different needs based on their child's varying sounds.

Senses
Newborn babies are able to hear, smell and feel, but they cannot see very well unless objects are very close to them. During their first month, babies stare at faces but are typically uninterested in other objects. According to BabyCenter.com, some 1-month-old babies can see black-and-white patterns. At 2 months old, most babies can follow objects within their field of vision; by 3 months old they can turn their head to watch moving objects, as well as turn their head toward loud sounds or their parent's voice.


Movement
BabyCenter.com reports that by 1 month old, most newborn babies have enough neck strength to lift their head briefly when lying on their stomach. Some can even hold their heads at a 45-degree angle. At 2 months old they are able to hold their head up for longer periods of time; some are able to do a mini-push-up and lift their head and shoulders.

By 3 months old, most babies can hold their head up steadily. They can support their weight on their legs if you support their torso, and some babies can roll over from their stomach to their back. Lying on their back, babies between 2 and 3 months can kick their legs and wave them around; some babies at this age can bring their hands together.

Social and Mental Development
Newborn babies don't cry all the time. When they are content, 1-month-old babies make ooh and ahh sounds; by the second month they may have the ability to smile and laugh. By 3 months old, some babies can squeal, coo, gurgle and blow bubbles. According to How-Kids-Develop.com, when babies are smiling, it's their invitation to play.

Sleeping Habits
Newborn babies sleep often. Sleep schedules vary depending on the child; some 0-to-3-month-old babies sleep four hours and then awaken for one; others stay awake for three hours and sleep for 45 minutes. According to CYH.com, babies 0 to 3 months do not typically sleep through the night; their tummies aren't large enough to provide them with enough food to sleep comfortably for eight hours, and they awaken frequently due to hunger.

Eating Habits
Eating habits vary from child to child, but most newborns 0 to 3 months old eat every two to four hours. How-Kids-Develop.com reports that by 3 months old, babies are not yet ready for solid food; their diet should consist solely of breast milk or iron-fortified formula.