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From the time immemoria,
the primitive people had encountered the problem of counting.
The earliest instruments for counting stones once were, slender
tree branches and so on. The methods of counting by typing knots
and carving once used by many nations are no longer the primitive
counting form.
The earliest Chinese counting beads which had been discovered
are the pottery beads made in the Western Zhou Dynasty more than
3000 years ago. According to the historical materials at hand,
the book that records the earliest calculation with an abacus
named Arithmetic Chronicle written by Xu Yue in the Eastern Han
Dynasty, more than 2000 years ago. It says that an abacus had
one upper bead and the four lower bead stands for one. It can
be taken as an embryonic form of modern abacus.
Abacuses in modern shape existed
in Song Dynasty, which can be proved by some material evidence.
For instance Julu (big deer) counting beads, picture of counting
beads in the painting of Scenes of the Social Lives at the Banks
of Bian River on Pure Brightness Day, especially Wang Xhenpeng's
painting of the Picture of the Universe in a Load. This is the
evidence that abacuses were widely used among the people in the
Southern Song Dynasty.
From Yuan Dynasty onward, abacuses
have been gradually popularized in the whole country. By middle
period of the Ming Dynasty (in about the late 15th century), calculation
with an abacus had replaced the calculation with counters completely
and formed a set of complete algorithmic system. There are two
representative works on abacus calculation in Ming Dynasty. One
was Wang Wensu's Mathematics Principles (A.D.1524), the other
is Cheng Dawei's General Rules of Counting method (A.D. 1592),
which plated a greater role in spreading the use of abacuses.
During the period of Ming Dynasty, Chinese abacuses has spread
into Korea, Japan as well as South East Asia areas and began to
prevail throughout the world.
During Ming Dynasty, there was a
kind of rhomboid beaded abacus in China, with one upper bead and
five lower beads. It was found in the tomb of Lu Weizhen (A.D.
1543 - A.D. 1610). After Qing Dynasty, the round beaded abacus
with two upper beads and five lower beads had been widely used.
Some people suggested to improve the abacus, but their achievements
have not been carried used in practice. Although the Western calculation
methods such as written calculation, calculation with counters,
calculation by rulers were still the principal calculating instruments.
After the Bead-calculation Association
of China was organized, the Calculating Instrument Reformation
Committee was also established, which carries out the study on
the calculation tools. At present, a mid-sized abacus with a restorer
and one upper bead and four lower beads had gradually popularized
in the country and has been merely welcomed by the public.
The reform of abacuses will
be continued the use of abacuses with that of a modern electronic
computer will be the direction of the reform. |