Help young children learn numbers by having them go on a scavenger hunt. Write numbers on pieces of paper and hide them. Have children find and identify each number, and put them in order when they have all been found. You can also use this game to teach counting by having kids count coins or buttons and place the correct amount of items with the corresponding number.
For this math game, draw a road on a piece of poster board and write numbers on it. Make sure the numbers are not in order. Give a young child a toy car and have her drive the car to any number that you call out. Incorporate counting by drawing a gas station where she can fill up between trips. Cut rectangles out of paper to use as money, and have the child pay for gas with the number of rectangles that you specify.
Save empty plastic bottles to create a math bowling game. Set the bottles up like bowling pins, and have young children roll a ball and see how many they can knock down. There are several learning possibilities with this math game: You can count how many bottles were knocked down, use subtraction to see how many are left standing and use addition to see how many there are after you stand them back up.
Cut paper into small pieces and let children draw a smiley face on each one. Write numbers on several envelopes, and have kids count out the correct amount of smiley faces to go inside each envelope. Once all of the envelopes have been filled, seal them up and let the children give them as gifts. For kids learning addition and subtraction, place a simple arithmetic problem on the front of the envelope and have them solve the problem to find out how many smiley faces to include.