Trachtenberg Speed System of Basic Mathematics
This is a revolutionary set of techniques for rapid mental (or written) arithmetic. It was developed by Russian engineer Jakow Trachtenberg while he was imprisoned in a Nazi concentration camp during World War II. To keep his mind sharp and occupied, he created simple, rule-based methods that allow fast calculations without relying heavily on memorized multiplication tables (beyond the basics). The system emphasizes logical shortcuts, patterns, and "keys" (rules) that make operations like multiplication feel almost automatic. It is praised for building speed, accuracy, and confidence in math, especially for students who struggle with traditional methods. The main book is *The Trachtenberg Speed System of Basic Mathematics (translated and adapted by Ann Cutler and Rudolph McShane, originally published in 1960). Core Features of the Trachtenberg System - No heavy memorization — Rules replace most tables. - Digit-by-digit processing— You work from right to left, often writing o...