Provide the children with two A4 pieces of card each, in different colors. Also supply a tray of objects, for example red and blue buttons. Ask each child to sort the buttons into two piles, by color, onto different sheets of card. This simple game can be played in many variations. To make it harder, you could have a variety of colors and ask the child to sort the pile into numerous piles on numerous pieces of card. Or use tougher objects, such as sorting keys with round holes from a pile of keys. Or simply start sorting a pile of objects into smaller piles without telling the child the criteria of each pile. The child must work this out and continue from where you left off.
Another good sorting game involves supplying the children with a large variety of objects and instructing them to sort the objects in order of size. Start with biggest to smallest; the next time you play, you can try the reverse order. If children in your class understand or have been learning the alphabet, you could supply a series of cardboard animal cut-outs and instruct the children to arrange their individual piles in alphabetical order. Make the animals obvious, though, such as a dog, cat and bird, to make the game easier for the kindergarteners.
Hide number cards with numbers from one to 10 around the classroom. Instruct the kindergartners to hunt for these cards. Every time one is found, the child must bring it back to the main table and put it in numerical order. Thus, if the number five has already been found and a child finds the number two, he would need to place it before five. The game ends when the numbers are found and arranged correctly; at that point, you and the class can count out the numbers together, from one to 10.
For this game, you will need a shoebox and at least 10 bottle Ping-Pong balls. Cover the bottom of the shoebox with cotton wool so the balls do not bounce out. Paint the number 10 on the side of the box and place it on the end of the table. Have the children line up on the other side. Each child should pick a Ping-Pong ball from the bowl and try to throw it into the shoebox. If successful, the children count "one," and then "two" for the next hit, until they count to 10. You should stand at the other end of the table to pick up the balls from the missed shots.