3/23/2005

Soroban, Abacus

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Soroban, Abacus 算盤、そろばん Abakus



This is the cover of a box for an abacus, Soroban.
The Kanji read : Hakodate Daruma Fuumi.
函館 だるま 風味
Maybe it is a special production for a food store of Hakodate in Hokkaido.
http://blog.livedoor.jp/gabigreve2000/archives/16789345.html


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Checking a bit more about the abacus, I came about a great German/English page featuring all kinds of abacus (Abakus), some even made by a Daruma Company of Japan.
http://www.hh.schule.de/metalltechnik-didaktik/museum/abakus/japan/jap.htm

The following is quoted from this page of © J. Lütjens,
Mai 2004

Nr. 11
Neuer Soroban, gefertigt aus einem schwarz gefärbtenn Holzrahmen und mit 13 Reihen heller Holzperlen.Er gibt ein sehr schön kontrastreiches Bild. Das System 5+2 entspricht dem ursprünglichen chinesichen System und ist daher für einen japanischen Soroban eher ungewöhnlich. Aber es ist nun einmal so, denn dieser Soroban wurde hergestellt von der japanischen Fa. Daruma.
New soroban with 13 rows, system (5+2); all made of wood. Width: 305 mm; heigth: 125 mm.

Nr. 12


New colorful soroban with 13 rows, system (5+2); all made of wood. The back side is closed with a wooden plate.Width: 290 mm; heigth: 125 mm.


Nr. 17


Twin-soroban with sybolic meaning
This extraordinary item (two sorobans in one frame) is made of wood. It seems to be not suitable for calculating but mainly as a wall decoration. The meaning of the two opposite sorobans is probably "everything in life must be balanced". The translation of the four Chinese characters:

"good luck"
"long life"
"respect of daughters and sons"
"good luck"


Manufacturer: Daruma, Japan. Measures: width: 175 mm; height: 290 mm
Many thanks to my Korean colleague Prof. Dr. Kim Yuhn Su; he proposed the explanations above.

source : www.hh.schule.de


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WHAT IS A SOROBAN (ABACUS)?

The Soroban - the traditional Japanese "natural calculating divice" - has unique advantages in the digital age. Soroban is the name given to the traditional Japanese abacus, or calculating frame, which is increasingly being seen as a valuable mathematical tool for a technological age. It is now certain that Soroban -teaching helps children to develop an active approach to learning, and greatly increased their powers of mental calculation. Development of logical thought processes and powers of concentration flow from the pleasurable disciplines involved in Soroban study.

Soroban is a world wide word and now you are able to look up this word in your webster dictionery.

When you study how to use soroban, you will receive lots of merits. Many educators and school teachers point out these merits of the soroban displaying the numbers the same way as in the decimal system as follows.

Easy to understand basic number systems such as base-ten and place values. Although the abacus is a concrete tool,the number as shown on the abacus is abstract, based upon the decimal system. This linkage with both the concrete and abstract help children to understand the concept of place value and base ten.

To understand concepts of carrying and borrowing in arithmatic.
Easy to understand the combinations of five and ten and the complement of numbers.
Children can determine themselves the calculation process step by step.
Easay to visualize the close relation between numbers and numerals.

Using a calculating Device motivates the children to have an active attitude toward study.The children really enjoy using Soroban, like to move the beads, they learn place value really effectively and they pick up the structure very fast. They learn and understand the number concepts better than just using paper and pencils.

Practicing soroban developes the children's ability of mental calculations.

How to use SOROBAN (ABACUS)

The soroban is calculating instrument with a number of counting beads that slide back and for th along rods.

Each one-bead has the value of "one".
Each five-bead has the value of "five".


The columns toward the left always have higher values than those toward the right.

FINGERING
Always use the thumb and the forefinger to slide the beads back and forth.Hold other three fingers lightly.
Always use the thumb to add the one value beads.
Always use the forefinger to add the five value beads and to take away beads.
http://www.soroban.com/index_eng.html

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The Soroban in different Cultures

Abacus is probably the first of calculating devices. Encyclopædia Britannica traces the word abacus to the Phoenician abak (sand). American Heritage Dictionary points to the Greek word abax, which might have originated from Hebrew avak (dust). There is little doubt that Ancients used a flat surface with sand strewn evenly over it as a disposable tool for writing and counting. It's said that the great Archimedes was slain by a Roman soldier while concentrating on figures drawn in sand.

Later day abaci had grooves for small pebbles and later yet wires or rods on which counters could freely move back and forth. Each wire corresponded to a digit in a positional number system, commonly in base 10. A very curious state of affairs was mentioned by M. Gardner with a reference to K.Menninger. For more than 15 centuries the Greek and Romans and then Europeans in the Middle Ages and early Renaissance calculated on devices with authentic place-value system in which zero was represented by an empty line, wire or groove. Yet the written notations did not have a symbol for zero until it was borrowed by Arabs from Hindus and eventually introduced into Europe in 1202 by Leonardo Fibonacci of Piza in his Liber Abaci (The Book of Abacus). According to D. Knuth, counting with abaci was so convenient and easy that, at the time when only few knew how to write, it might have seemed preposterous to scribble some symbols on expensive papyrus when an excellent calculating device was readily available.

Chinese suan pan is different from the European abacus in that the board is split into two parts.

The lower part contains only five counters on each wire, the upper contains two. Digits from 0 through 4 are represented solely by counters in the lower part. The other five digits need an upper counter. E.g., 8 is represented by 3 lower counters and 1 upper counter.

I was reminded by Scott Brodie that Japanese soroban differs from its chinese relative in that it enforces carrying by containing only 4 counters "below the bar" and only 1 counter "above the bar" on each "wire". This eliminates dual representations of "fives" and "tens".
The Japanese call the low portion "earth" and the upper portion "heaven".


The applet represents an abacus close to the Russian variant where, for the ease of use, middle counters differ in color from all the rest. Given the advantage of home computers, the applet allows you to select a number system with bases from 2 through 16. Carrying of 1 to the next digit on the left is automatic. The entire interface with the applet is by clicking the mouse button. You can move a group of counters with a single click. Just point at the last counter you wish to move.
2005 Alexander Bogomolny
http://www.cut-the-knot.org/blue/Abacus.shtml


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external link
The Abacus: The Art of Calculating with Beans.
Everything you wanted to know about Abacus.


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Checking for Soroban and Daruma, I found this story.
Here is a pot for keeping tea powder, Chaire 茶入.
算盤の珠の様な形状の茶入。達磨の坐像に見立てた事に所以する名称。

The form looks like the beads of a Soroban. It is supposed to look like a Daruma sitting in Zen meditation, so the pot is called "Daruma Tea Container".
http://www1.odn.ne.jp/~cas30550/chanoyu-j/chaire.html


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wasan 和算(わさん)
the Japanese way of calculating

This is an original way of calculating, popular in Japan before the introduction of Western calculations.


Japanese mathematics
Kambei Mori 毛利勘兵衛 (Mori Kanbei) is the first Japanese mathematician noted in history
© More in the WIKIPEDIA !


One of its famous teachers (wasanka 和算家) was

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Seki Takakazu (Seki Kowa) 関孝和
寛永19年(1642年)3月? - 宝永5年10月24日(1708年12月5日))

He has been described as Japan's "Newton."
He created a new algebraic notation system, and also, motivated by astronomical computations, did work on infinitesimal calculus and Diophantine equations.
Another of Seki's contributions was the rectification of the circle, i.e. the calculation of pi; he obtained a value for π that was correct to the 10th decimal place . . .
© More in the WIKIPEDIA !

He studied the calculation book 塵劫記 jinkooki (Jinkoki) by Yoshida Mitsuyoshi 吉田光由 (1598 - 1673), solved all the calculations given and added a few more of his own.



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Sangaku or San Gaku (算額; lit. mathematical tablet)
are Japanese geometrical puzzles in Euclidean geometry on wooden tablets which had dedicated to Shinto shrine during the Edo period (1603–1867) by members of all social classes.
Fujita Kagen (1765–1821),
Shimpeki Sampo (Mathematical problems Suspended from the Temple)
Sacred Mathematics: Japanese Temple Geometry
© More in the WIKIPEDIA !



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算木 wooden sticks for counting.


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In a Saijiki for Memorable Days,
the 8th of August is the Day of the Soroban.

8/08 歳時記:そろばんの日

kigo for early autumn

http://homepage1.nifty.com/rivernos/saiji.html

The sound of the balls clicking is heared as
pachi pachi パチパチ, a diversion of sound from hachi hachi,
the eighth day of the eighth month.




算盤に肘をもたせて昼ねかな
soroban ni hiji o motasete hirune kana

with my ellbow
on the abacus
I take a nap

Kobayashi Issa 小林一茶


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the thumb doesn't move
if it ain't broke, don't fix it ..
on Soroban's day


Heike Gewi
Kigo Hotline, November 2010


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- source : www.ebay.com

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2 comments:

sakuo said...

Truly this soroban page is great.
Your achievement is very valuable.
I can say in some future your Kigo work will come to the center of the highlight.

Anyway 素晴らしい知識です。

Sakuo.

Gabi Greve said...

Thank you so much, Sakuo san!
Gabi