A helpful book
is Games for Math (or something like that) by Peggy Kaye. Check your library. She introduces a lot of activities (not all are "games") that help the kids SEE multiplication. For example, give each child (or pair) a sheet of graph paper with squares about 1/2 a cm each. The child rolls the dice and if she rolls a 2 and a 4, then she draws a line two boxes long and then (same starting point) a perpendicular line four boxes high. Finish off the rectangle and color it in and you have eight boxes. If working in pairs, just take turns (one rolls and colors the other "checks" the work of the partner). Use colored pencils and color each a different color and it turns out pretty. Another similar thing is to roll the a die once and draw that many circles (2" in diameter or so) on a paper. Then, roll again and put that many stars (or whatever) in each circle. Count the total number of stars. So if you roll a three then a two you get six stars (three circles of two each). Not really exciting but it DOES give a picture to it. Consider easy word problems that you can act out. "Sally, give each kid in your group five pennies. There are six kids, so how many pennies will you give out?" Sally can count as she does it.
Skip counting works too. March around the room and skip count. If new to skip counting, whisper the "other" numbers. If skip counting by threes, you'd whisper "one, two" and say "three." Whisper "four, five," and say "six." Basic stuff works.
Alicia