Abstract: A system for teaching mathematics to beginning students includes a series of gloves and/or finger puppets, with the digits representing non-sequential number series (e.g., two, four, six, etc.). Students are taught to count various non-sequential number series using visual and tactile senses by using the gloves and/or finger puppets and associated hand patterns, with further audible reinforcement being provided by stories corresponding to each of the non-sequential series. Various caricatures corresponding to the plots of the stories may be used as further mnemonic aids for students in remembering the procedures and operations taught, with additional caricatures being provided for two and three place (i.e., tens and hundreds) digits for removable installation on the glove or finger puppet digits. Once the non-sequential series are learned, students are taught to multiply, divide, solve fraction problems, and factor numbers using the corresponding factor (e.g., two, for the two, four, six, etc. sequence).