Find or buy a carpet remnant at least four feet by six feet. Use stencils to paint numbers, time tables, letters, foreign words, or other designs, depending on what your child is learning at the time.
Make a hop-scotch pattern, a huge checkerboard, or big, open shapes to be used as part of an obstacle course. Play musical hop by turning on music while your child runs around the rug. When you stop the music and yell out a number, letter, design, or shape, the child has to run to that location and do a little dance. You can make up all sorts of games to play on your learning mat.