1. A method of teaching mathematics, comprising the following steps: (a) defining at least one non-sequential numerical series and a numerical factor of the series, with the factor corresponding to the numerical difference between each number of the series; (b) providing at least one series of visual and tactile aids including a series of finger and thumb digits corresponding to the at least one non-sequential numerical series; (c) indicating each number of the non-sequential series on sequential ones of the visual and tactile aids; (d) providing a hand pattern corresponding to the non-sequential numerical series; (e) applying the visual and tactile aids to the hand of a student; (f) teaching the counting of the non-sequential series to the student using the visual and tactile aids and corresponding hand pattern; and (g) further teaching additional mathematical operations corresponding to the numerical factor of the non-sequential numerical series to the student using the visual and tactile aids and corresponding hand pattern.