Set up a series of containers on a table or on the floor. For beginners, start with no more than 10 containers placed in numerical order. Number the containers, and if possible, draw a series of dots or other markings on the container corresponding to the number. Place one dot on the container labeled "1"; two dots on the "2" container, and so on. Containers can be any size from a paper cup a plastic bucket.
Provide children with small objects that they can use as counters. While something as elaborate as small rubber animals can be used, you can also use something far less expensive like pieces of cereal. Instruct children to place the right number of counters in each container by counting out their counters as they deposit them in the container. Praise children when they are correct, and gently correct them when they make a mistake.
Vary the order of the containers as the children become proficient to make the game more challenging. After children master the basic numbers of 1 through 10, you can add containers with higher numbers written on them.
Introduce new counting games that build upon children's counting skills such as hopscotch, board games or card games like Go Fish. Children will be able to use the counting skills they have already mastered in new fun ways.