# The first visual models in mathematics were numerals

Mathematics is frequently associated with symbols, number sentences, and formulae. However, the first practical examples of mathematics involved three dimensional or pictorial images that had some everyday meaning for the people working with the ideas. Symbols were not used very much. The symbols that were used usually had some connection to the world that was familiar to the user.

Counting was probably the first and most common application of mathematics. This skill is associated with fingers. Today young children (and many adults) count and uncurl their fingers as they recite the number name sequence. Numerals and fingers just seem to go together. Consequently, it is probably no accident that fingers and the numerals (zero to nine) share a common name. They are both called digits.

## Roman Numerals

When the Romans developed their way to represent numbers, there was a close connection to the fingers and hands. The illustration below indicates how fingers were used to show one to four. (The first Roman Numerals did not involve subtraction.) The V of the hand represented five, and two hands arranged as shown meant ten.

## Egyptian Numerals

The Egyptians used images of everyday “things” that were related to the size of quantities they saw in their world. For example, a single stroke was one, a cattle hobble was used for ten, and the coil represented the rope with equally spaced knots they used to measure and mark out the fields. The greater numbers were linked to groups of everyday objects such as flowers, fingers (of captured slaves), and frogs. One million was a sign of amazement.

## Hindu-Arabic Numerals

There is speculation about the origin of the Hindu-Arabic numerals used today. Although the examples shown below have not been verified, some people like to think that the number of angles helped to shape the numerals. The recent history of writing numerals, particularly in Europe, does support this idea. But for the moment, it is just an interesting speculation.

## Brahmi Numerals

The Hindu-Arabic numerals that we use today evolved from a set of numerals known as Brahmi numerals. These numerals were used in India from around 300 BC. Here are the first nine Brahmi numerals. (Click on the Resource Hub below to download a support page on Brahmi numerals to use in your classroom.)