Touch Math is a program that teaches basic number concepts through visual and tactile learning methods. It uses manipulatives with dots corresponding to each number from 1 to 9. Students are taught to identify numbers by counting the dots on each symbol. For numbers above 5, double dots are used to represent higher values. Teachers demonstrate this process by having students count the dots on symbols up to 5, and explain the double dot concept for 6 and above. Overall, Touch Math benefits visual and tactile learners through repetitive counting that builds an association between numbers and manipulatives.