In Montessori, there are many different ways to teach multiplication. One interesting way that works for children of all ages is using the Multiplication Bead Board. Here is a video of a student demonstrating how she is using the board to solve multiplication problems.
I think this would be a great tool to use at home. Imagine all the different activities you could do using this board beyond multiplication! You and your child could make up games, do addition, division, subtraction and maybe even some variation on Tic-tac-toe or S.O.S!!
Here is a link to a bead board you can make using paper, foam core and push pins!
And, another creative solution is using an old bathmat!! And, of course you could make your own if you are skilled with a saw and drill.