ABACUS: MYSTERY OF THE BEAD
The Bead Unbaffled - An Abacus Manual
Advanced Abacus Techniques - What's new
Page Updates
2022
▪ Spanish translations links to many of our abacus tutorials - Tranlators Jesus Cabrera and Carlos Luna (August, 16)
▪ New index page for the Advanced Abacus pages - - Jesus Cabrera (August, 16)
▪ Abacus: el Misterio de la Cuenta (PDF) - Carlos Luna did a wonderful job with this Spanish translation (August, 10)
▪ Ábaco_Oriental Guía a la Aritmética con Cuentas -Wikilibro - Jesus Cabrera. (Wednesday, July 6 )
▪ THE EASTERN ABACUS - A Guide to Bead Arithmetic - 360 page pdf file by Jesus Cabrera. (Sunday, July 3 )
▪ Using an abacus (Wikibooks) - author Jesus Cabrera. (Sunday, July3 )
▪ Traditional Abacus and Bead Arithmetic (Wikibooks) - author Jesus Cabrera. (Sunday, July 3 )
▪ Easy Division - Carlos Luna translation (Saturday, June 11)
▪ 316x29 in Spanish - Carlos Luna translation (Saturday, April 30)2021
▪ jccAbacus - new abacus website created by Jesús Cabrera. (Sunday, May 16)2020
▪ A Short Guide to the 5th Lower Bead - a Jesus Cabrera technique. (Monday, December 21)
▪ Specially Crafted Division Tables - a masaakimurakami technique. (Thursday, February 6)
▪ Easy Division - a Steve Treadwell technique. (Tuesday, January 28)
▪ Google Drive off site link Multiply 316 x 29 - a Milton Zuluaga technique. (Wednesday, January 15)
2019
▪ Find an approximation of Pi (π) using the formula (2143/22)^(1/4) ~=Pi - a Dom Delage technique (Tuesday, December 3)
▪ The Other Side of Soroban - a masaakimurakami technique. (Thursday, November 28)
▪ Division by Complementary Numbers - a masaakimurakami technique. (Monday, October 28)
▪ Two techniques where the divisor begins with One - a masaakimurakami technique. (Monday, October 28)
▪ 6 techniques for multiplication - a masaakimurakami technique. (Thursday, October 3)
▪ Multiplication with Excessive multiplicand - a masaakimurakami technique. (Thursday, October 3)
▪ Regressing Multiplier to the power of 10 - a masaakimurakami technique. (Thursday, September 12)
▪ Division with Excessive Quotient - a masaakimurakami technique. (Monday, September 9)
▪ Multiply and Divide Feet and Inches - a Dino Marcantonio technique. (Monday, March 10)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 Tejón technique. (Wednesday, September 24)
▪ Off site link Association Française 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. º¿º (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 Tejón technique. (Sunday, July 10)
▪ Multifactorial multiplication a Fernando Tejón 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 Tejón'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
© 2004 - 2008
Totton Heffelfinger Toronto Ontario Canada
totton[at]idirect[dot]com