This game is played by a group of students in a circle and uses the multiplication table of a single number. For example, one player announces that the number is going to be three. The first player says "three" and claps three times. The group then announces "three times two", the player answers "six" and claps six times. While one person says the number and claps, the other group members count the claps. This game is meant for multiplication beginners who understand multiplication through addition, as in three plus three equals six, and so on. It's not meant for students who can multiply higher numbers, as the clapping becomes far too tedious.
Another method of learning multiplication involves the use of both a snap and a clap. It's meant for larger multiplication tables and helps students get comfortable with the multiplication process of "x times y." If the student wants to multiply three times four, they would say the number "three" and snap. Then they would say "times" and clap after announcing the number they are multiplying by. While it doesn't seem as though this provides much value, for auditory and kinesthetic learners, it gives them a chance to incorporate their primary learning senses.
To get a grasp on basic geometry concepts, try a song that incorporates clapping. According to the website Songs for Teaching, possible lyrics could start with a verse "pigs in a pen, that’s what a perimeter will do, keep them in, so add up the sides and you will always be sure to know, that important word that’s called perimeter." The chorus could be sung by students, and would incorporate clapping between lyrics. A possible chorus could go as follows according to the website, "Oh, yes, perimeter (clap, clap, clap), area, volume, We will sing about perimeter (clap, clap, clap) area, volume."
Methods that use movement and the use of the student's entire body are excellent for multi-sensory learners. For children just learning arithmetic, try a game called hop-skip-jump-clap. There are various permutations of the game, but one would have a teacher announce a number, like two. The students would hop two steps. Then the teacher would announce a second number, and say "plus three." The student would hop two steps and then skip three steps. Then the teacher would ask the student to add the two numbers and have the them jump the steps for the answer, in this case five. The student would then clap each set of the number. Clapping twice, then three times, and finally five times for the answer.