Mathematical Charts and Tables

Charts and Tables for Instruction

Charts and Tables for Instruction

Ancient Babylonian scribes learned to record numerical tables on clay tablets. If a schoolroom or library burned, the tablets baked hard, and might survive for millennia. Several such tablets are preserved in libraries today, and the replica of one of these at the Smithsonian reminds us of the long history of these objects.

In the 19th century, new European ideas about teaching arithmetic to very young children reached the United States. In 1831, the Boston firm of Munroe & Francis published a series of some fifty “infant school cards,” designed to teach subjects ranging from arithmetic to reading to natural history. Teachers were to use the arithmetic cards in conjunction with another piece of apparatus newly introduced in Western Europe and then in the United States, the teaching abacus or numeral frame.

Charts also were used to teach about weights and measures.  In the wake of the French Revolution of 1789, the French developed an entirely new system of measuring distance, area, volume, temperature, and even time. By the 1860s, several European countries had adopted a revised version of this metric system, and metric weights and measures were legalized in the United States.  An organization known as the American Metric Bureau began to distribute metric demonstration apparatus for the classroom. In the 1890s, the American Metric Bureau began to sell a metric chart for educational use.

Within the decade, the metric system was but one of several topics illustrated in a set of charts copyrighted by R. O. Evans of Chicago. Evans’ set of twenty charts illustrated such wide ranging topics as counting and writing numbers, arithmetic operations, fractions, the area of surfaces and the volumes of solid, business methods, and surveying.

In the first half of the 20th century, machines that could do ordinary arithmetic became common in the store and the office, and inexpensive adders were available for consumers.  In the years following World War II, educators placed new emphasis on understanding the principles underlying arithmetic. Charts such as number lines sold for classroom use.