A child’s first puzzle should be a simple one-piece-per-object one (for example, an apple, a banana, and a pear). Very soon the child will progress to more complex puzzles in which parts must be put together to form a whole.
There are many things a child can learn while working with a puzzle, such as recognizing shape, size, and color. She can also learn new vocabulary.
As your child takes pieces out or places them in a puzzle, she is developing eye-hand coordination skills.
She will also become more aware of the relationships of objects in space (for example, the head is at the top, the feet are at the bottom of the body).
Most puzzles will indicate the age range for which they are appropriate. Public libraries generally have a good supply of puzzles appropriate for different age groups.
This is an activity that is not only a good learning experience, but it will provide your child with many hours of fun.