ABACUS: MYSTERY OF THE BEAD
The Bead Unbaffled - An Abacus Manual

Advanced Abacus Techniques - What's new

Page Updates
2017
Foot-Inch Calculator - a Dino Marcantonio technique. ((Tuesday, March 21)
Google Drive off site link Division and Back Again (Monday, March 13)
2016
Added new section "Revising Answers" to The Chinese Rule Advantage (Tuesday, October 18)
Added Chinese Division Table (pdf file) to Short Division Techniques (Wednesday, July 20)
2015
Adding Hexadecimal numbers using the Binary number system (Monday, November 23)  
Improvements to the Kato Square Root Method  - a Steve Treadwell technique. (Monday, May 4)  
Division by Complementary Numbers (DCN) - a Fabrice Bouillerot technique (Saturday February 28)
Calculating Feet and Inches - using base 12 and an inverted suan pan (Tuesday February 17)
2014
Decimal Hexadecimal Conversion  - a Steve Treadwell technique. (Tuesday, December 16)
▪ Convert Hex to Decimal by Dividing by Hex A (Saturday, December 6)
Octal Hexadecimal Conversion - a Steve Treadwell technique. (Monday, December 1)  
Multiplying Hexadecimal Numbers using an Octal Table (Saturday, November 22)
Convert Octal to Hexadecimal using an Octal Division Table - a Hannu Hinkka Technique. (Wednesday, November 5)
Using Hexadecimal Tables - Long Division & Conversion  - a Hannu Hinkka Technique. (Monday, November 3)
Hexadecimal Arithmetic Octal Code - a Steve Treadwell technique. (Saturday, November 1)
Multiplying Hexadecimal Numbers - a 36 kb pdf file (Saturday, October 25)
Octal Arithmetic on the Soroban - a Steve Treadwell technique. (Wednesday, January 29)
2013
Binary Method for Calculating GCD - a Hannu Hinkka Technique. (Saturday, November 15)
Chinese Division Rules on a Soroban (Wednesday, October 23)
Shifting the unit rod - added to ABACUS: MYSTERY OF THE BEAD (Tuesday, September 10)
Off site link Early Calculation (5.61 mb pdf file). (Saturday, July 6)
Decimal and Octal Conversion Techniques - Marcos Labriola. (Saturday, June 1)
25 anzan addition subtract  exercises with answers ( 340 kb .zip file)  (Thursday, April 25)
Conversion from Decimal to Binary - a Marcos Labriola technique. (Monday, March 4)
Added The Chinese Rule Advantage to Short Division Techniques  (Tuesday, February 5)
Cleaned up Chinese Short Division Techniques to make it an easier read. (Sunday, February 3)
▪ Added Suan Pan and the Decimal - Division (Sunday, February 3)
▪ Added Suan Pan and the Decimal - Multiplication (Sunday, February 3)
Extensive edit to my page Traditional Multiplication - Suan Pan (Sunday, February 3)
Extensive edit to my page Long Dvision Techniques - Chinese Suan Pan  (Thursday, January 28)
Extensive edit to my page Digit Sum Quick Check (Thursday, January 3)
2012
New examples added to Long Division Techniques - Chinese Suan Pan. (Sunday, December 16)
Master Craftsman - YouTube videos showing a master soroban maker at work. (Tuesday, March 12)
Anzan Multiplication - one method that some experts like to use. (Sunday, January 29)
2011
The Five Earth Bead Advantage - a Hannu Hinkka technique. (Monday, December 12)
New photo - Ray McCulloch's small 23 rod abacus. (Tuesday, November 29)
The Nine Bead Abacus, it's Theory and Derivation  - Joe VanCleave (Saturday, November 26)
Abacus Tax Calculation Procedure - a Joe VanCleave technique. (Saturday, November 26)
Added to Perkins photos a detail of the abacus. (Sunday, October 16)
Multiplication and Division in binary - a Steve Treadwell technique. (Saturday, September 24)
Decimal/Binary Conversion on the Soroban - a Steve Treadwell technique. (Wednesday, September 21)
Another Division Revision Example - 278502 ¸ 399 = 698, linked from Division Revision  (Sunday, September 4)
Balanced ternary arithmetic on the abacus - a Steve Treadwell technique.  (Tuesday, June 21)
Russian Peasant Multiplication - a tutorial contributed by Hannu Hinkka. (Monday, May 30)
Quick Glance Table - added to Predetermining the Unit Rod (Sunday, March 27)
Brain Scan study.pdf - abacus experts versus non-expert groups. (Thursday, March 24)) 
Tutorial - Negative numbers. How to subtract 95 from zero (0 - 95 = - 95). (Wednesday, March 9)
2010
Anzan pdf files- added to the Abacus Files.  (Wednesday, June 2) 
An easy-to-make abacus - offsite link added to the Learning resources section. (Tuesday, May 18)
The Cranmer abacus - added to the photo gallery.  (Monday, May 17)
solsTiCe d'Hiver's exercise generator - offsite link added to the Learning resources section.  (Friday, March 26)
Ray McCulloch soroban - added to the photo gallery.  (Friday, February 5)
The Leap of Faith  (Sunday, January 24)
Abacus Algebra - Gary Flom shows us techniques for doing algebra on a soroban.  (Friday, January 15)
2009
Working with Percentages - techniques for finding and adding percentages. (Wednesday, August 19)
Fixing a Warped Frame - older soroban can develop a problem with warping. (Saturday, July 25)
Modified Welton J Crook - Steve Treadwell's faster version of Crooks CubeRt algorithm. (Thursday, April 2)
Modified Welton J Crook - Steve Treadwell's faster version of Crooks SqRt algorithm. (Sunday, March  22)

2008
Euclidean norm of a vector - Gary Flom. (Sunday, November 2)
Linear Equations a  Fernando Tejˇn technique. (Wednesday, September 24)
Off site link Association Franšaise de Soroban et autres Abaques (Friday, August 1)
Stchoty Le Magasin Pittoresque French language article on the subject of Schoty. Early 19th century. (Wednesday, July 9))
Off site link abacus related words in English. (Monday, May 12))
Make a Dust Cover for your Soroban (Saturday, March 22)
Predetermine a Unit Rod an alternative method. (Wednesday, February 13)
Calculating Logarithms on a Soroban a Deji Adegbite technique. (Wednesday, February 6)
2007
Practice Sheets addition, subtraction, multiplication & division (Tuesday December 18)
Add & Subtract Hexadecimal Numbers  (Wednesday November 28)
Convert between Base 10 and Hexadecimal  (Sunday, November 25)
Knott's 1885 article "The Abacus in its Historic and Scientific aspects." re-typed by Nanami Kamimura. (Thursday, November 1)
Patterns in Kojima's technique for multiplication. Added to Multiplication (Saturday, September 29)
Magic Trick that uses DigitSum techniques. (Thursday, September 6,)
Japanese Cube Root Algorithm a Shane Baggs technique. (Thursday, July 12)
Ekimai.com  abacus techniques with a link to purchasing soroban in the U.K. (Wednesday, July 11)
Print Lee's Abacus (1.98 mb PDF File) print the Lee's Abacus demonstration. (Monday, June 25)
Print Abacus: Mystery of the Bead the page offers two options for printing the manual. (Saturday, June 17)
Checking a Square Root Answer (Monday, April 23)
Off site link Better@Math~Better@Thinking (Soroban, New York City). (Friday, March 16)
Off site link the Abacus on Wikipedia. (Saturday, March 10)
Off site link  build practice sheets (addition, subtraction, multiplication, division). (Friday, January 26)
2006
Off site link Soroban Cymru - Soroban in the the U.K. (Friday, December 22)
Li (1959) Origins of Chinese Abacus (735 kb PDF File) 1959 Article by Shu-T'ien Li. (Friday, December 22)
The Abacus, in its Historic and Scientific Aspects (1.97 mb PDF File) 1885 Article by C. G. Knott. (Wednesday, December 20)
Site Map added to all my pages. (Thursday November 30)
Forbes.com ranks the abacus 2nd most important tool in history. (Tuesday, November 21)
League for Soroban Education in Spanish (447 kb PDF File) (Monday, September 18)
Dave Bernazzani's Soroban/Abacus Handbook (280kb PDF File) (Wednesday, September 13)
Celsius & Fahrenheit working with negative values. Added to Negative numbers. (Tuesday, July 25)
Cube Roots by Welton J. Crook from his book 'Abacus Arithmetic'. (Tuesday, July 11)
Kojima Square Roots Takashi Kojima's method for extracting square roots. (Sunday, June 11)
Simple addition & subtraction a new section added to Abacus: Mystery of the Bead. (Friday, May 26)
Finger techniques added to Abacus: Mystery of the Bead. (Thursday, May 25)
Further thoughts on Mechanization added to Abacus: Mystery of the Bead. (Tuesday, May 23)
explanation of kanji characters making up the word soroban. (Wednesday, May 3)
Find the GCD and the LCM of two numbers using abacus techniques. (Tuesday, May 2)
Square Roots by Welton J. Crook from his book 'Abacus Arithmetic'. (Tuesday, April 18)
Cooking with Soroban abacus techniques for your kitchen. ║┐║  (Friday, March 31)
Off site link Stephen Utti's multiplication practice sheets. (Sunday, February 26)
Off site link Chisenbop (finger math) tutorial. (Saturday, January 15)

2005
Square root of 2 solved to seven decimal places. (Saturday, December 3)
Digit Sum Quick Check a quick way to check the accuracy of an answer. (Monday, November 28)
Examination examples (85 kb PDF File) updated from Kojima's book. (Tuesday, July 12)
Complementary numbers a  Fernando Tejˇn technique. (Sunday, July 10)
Multifactorial multiplication a  Fernando Tejˇn technique. (Thursday, June 27)
Off site link Erik Peterson's java applet for leaning Chinese suan pan. (Friday, April 29)
Modern Chinese technique for multiplication. (Friday, April 1)
Lee's Improved Abacus new page demonstrating how Lee's Abacus works. (Friday, March 25)
Abacus: Mystery of the Bead an abacus manual. (Friday, March 11)
Off site link Fernando Tejˇn's Spanish language soroban pages. (Monday, February 7)
Off site link Torsten Reincke's number dictation program. (Monday, February 7)
Basic multiplication ideas for teaching multiplication using a soroban. (Thursday, January 27)
Soroban manual (2.84 mb PDF File) from the League for Soroban Education of Japan. (Saturday, January 22)

2004
Off site link Stephen Utti's soroban add/subtract practice sheets. (Tuesday,  Nov 30)
Negative numbers how to multiply them. (Friday, November 5)
Quotient answers where answers go on the soroban. (Saturday, September 25)
Traditional Chinese technique for multiplication. (Friday, July 23)
Division Revision help page. (Wednesday, July 21)
Multiplication and Decimals help page. (Tuesday, July 20)
Kato Square Roots Professor Fukutaro Kato method for extracting square roots. (Tuesday, July 20)
Long division techniques for Chinese suan pan. (Sunday Jul 4)
Short division techniques for Chinese suan pan. (Tuesday, June 15)
Takashi Kojima's multiplication by complementary numbers. (Wednesday, May 26)
Takashi Kojima's elimination of the Initial digit of a multiplier beginning with one. (Thursday, May 6)
Division & Multiplication Professor Fukutaro Kato method for pre-determining the unit rod. (Tuesday, March 16)

 

Advanced Abacus Techniques

 
ę 2004 - 2008
Totton Heffelfinger  Toronto Ontario  Canada
Email
totton[at]idirect[dot]com