For this project you'll need one penny, a couple of scraps of polymer clay, one cotton ball, a toothpick and glue that dries clear. Use polymer clay in the colors white, black, red and orange. Create the snowman shapes out of the clay -- body, mouth and nose, hat and scarf. Assemble the snowman on top of the penny, then place the snowman on a sheet of tin foil and bake for 15 minutes at 275 degrees Fahrenheit. Use the cotton ball to make "snow" around the base of the snowman and glue in place. You can make an even simpler snowman by having your child create her own out of pom-poms, buttons and orange craft foam, and gluing the base to a paper plate. Give it away to your friends and family as a stocking stuffer or Christmas decoration.
On a piece of black paper, have your child outline a winter scene with glue. Before the glue dries, sprinkle silver glitter onto the glue to create the picture. You can also have your child start out by creating a summer scene and then giving him white paint to morph it into a winter scene.
Create simple snowflakes by watering down blue paint and painting it into a coffee filter. When the paint is dry, fold the coffee filter in half a few times, and then make small cutouts as you would to make a regular paper snowflake. When you're finished, open it to reveal a light blue snowflake to display. You can also tape a doily to a paper and apply tempera paint over the doily. Remove the doily before the paint dries and then sprinkle glitter on the paint that's now on the paper plate. Cut out the pattern that's been made on the plate to create a snowflake.
Add fake "snow" to any winter art project by using some sort of white material. You can create faux snow from flour, cotton, clean egg shells, sprinkle laundry soap, sugar, white granules of sand, shaving cream, whipped cream or even mashed potatoes.