Matching games with flashcards can help students with identification of the alphabet, phonemes, colors, numbers and math symbols such as plus signs or equal signs. Make flashcards with the concepts you want to reinforce, and have children play the memory game and try to find matches. Be sure to have the student repeat the sound the letter makes or say what color is on the card each time he turns over a card.
For a learning game that also lets students burn off some energy and bounce around, play a version of hopscotch outside. Draw hopscotch squares in a formation like a calculator with sidewalk chalk on the playground concrete. You can play several counting games depending on the math skills of the players. You can ask children to drop a rock on a number on the grid. The children can then jump on squares that will add up to that number. For instance, if the rock falls on four, the student can jump on squares one and three.
This game works best with one to five players. Print out grids like a bingo board, using only the numbers zero through 18. Make two sets of craft sticks with the numbers zero through nine written on them. Write one number on the end of each stick and put the sticks into a pencil holder so the numbers can't be seen. Have a student pick two craft sticks and add the numbers. Then the child places a marker on that number on his grid. Play continues until one player gets a "bingo," or a certain number in a row, which will depend on the size of the grid you make.
For kindergarten classrooms that are wired for Internet access, students can be engaged in some entertaining and educational games online. These types of games not only introduce children to using technology, but they can also be instructional. The Learning Games for Kids website offers games for many ability levels; use matching games, puzzles and mazes for kindergartners. Knowledge Adventure's website and ABC Ya's kindergarten section both have games for reading and math that kids can play independently.