Touch Math is not a new concept. On the contrary, it’s been around for well over thirty years. It is a “multi-sensory” approach to teaching basic math using visual, auditory and tactile components. A child is taught to count dots or “touch points” on images of numbers, and the positions of the dots are memorized. The child looks at the number, says its name, touches his finger or pencil to each dot and counts up. The dots are counted in the same pattern each time, and once they are remembered, the dots are gradually removed.
Example: For the number three, the child would touch a dot at the beginning, middle and end of the number which would look like this:

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Single dots are used for digits 1 through 5. Higher numbers use double touch points, dots with circles around them. For example, the number 7 has three double dots and one single dot (called the nose to help remember it). Like so:

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Once the child knows the points and patterns, he/she can begin to perform operations like addition, subtraction, multiplication and division.