Ebook Free HOW TO USE A CHINESE ABACUS: A step-by-step guide to addition, subtraction, multiplication, division, roots and more, by PAUL GREEN
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HOW TO USE A CHINESE ABACUS: A step-by-step guide to addition, subtraction, multiplication, division, roots and more, by PAUL GREEN
Ebook Free HOW TO USE A CHINESE ABACUS: A step-by-step guide to addition, subtraction, multiplication, division, roots and more, by PAUL GREEN
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This book will teach you step-by-step how to perform addition, subtraction, division, multiplication, square roots and cube roots on a Chinese abacus. It also explains the ancient 'extra bead' method and the 'suspended bead' method. Great for both children and adults. Clearly explained with text and pictures throughout every stage of your calculation. A preview of the book can be seen at http://www.lulu.com/content/1018833 Note: This is the compact book size version 6"x9" of the larger 8.5"x11" original (ISBN: 978-1-8479-9943-6). Ideal size for travelling.
- Sales Rank: #452493 in Books
- Brand: Brand: Lulu.com
- Published on: 2007-08-09
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .36" w x 5.98" l, .25 pounds
- Binding: Paperback
- 156 pages
- Used Book in Good Condition
About the Author
Winner of the 1927 Pulitzer Prize for Drama, Paul Green (1894-1981) taught philosophy and drama at the University of North Carolina at Chapel Hill. He was a native of Harnett County, North Carolina.
Most helpful customer reviews
40 of 40 people found the following review helpful.
Chinese vs Japanese
By maddog
A number of reviews and comments here are from people looking for an abacus to teach their kids arithmetic ( an excellent idea BTW). So I thought I would explain the difference between the various kinds of abacus and their merits. I haven't bought this book but I am an avid abacus user and I thought these comments might help.
There are three main types of abacus, the Japanese Soroban, the Chinese Suan Pan and the 10 bead Western abacus often seen as the Russian Schotty.
The Japanese Soroban with 1 top bead & 4 lower beads (1/4 configuration) is the most sophisticated device for base 10 arithmetic. If this is what you want to do or if you want to teach your child, this is the best choice IMO. Older Soroban have 5 lower beads. The extra bead is unnecessary but it has some advantages, one being that you can actually see the carry bead when doing a multi column carry or borrow e.g 999 +1. With 4 lower beads, the carry bead is implicit until you get to the last column. This is helpful when beginning but after a while one outgrows the need for this. I recommend one of the cheap plastic ones with different colors for each row which are available on ebay for less than $10.
The Chinese Suan Pan is the most complex and perhaps the most powerful design. Its 2/5 configuration is designed to be able to handle hexadecimal arithmetic (base 16). It can handle base 10 just fine but the extra beads are confusing and although the advanced user will find ways to use them in base 10 calculation, they would not help a child grasp basic concepts.
Both the Soroban and the Suan Pan depend heavily on complement arithmetic, a very efficient and easy way to add or subtract with a carry. It's an extension of the trick you probably use to add a 9 - subtract 1 and add ten. If you don't know this technique for other numbers, you will need to invest a bit of time to learn it but it's quite easy. If, as one reviewer has stated, this book does not explain complement arithmetic, this is a serious shortcoming.
The 10 bead abacus is the easiest to understand and a very capable device. It would serve as a good introduction to numbers and the basic concepts of addition and subtraction. They are available as children's toys and I bought one for my grandson. However, once these concepts are understood, complement arithmetic on a soroban is the way to go.
If you are interested in the abacus in general, then you can't skip over the Suan Pan, not only is it widely used in Asia, but it is the ancestor of the Soroban. Also it is capable of tricks and techniques that are not available on the Soroban. It is also quite beautiful.
Finally, I highly recommend Finger Math by Lieberthal which shows how to do Soroban techniques on the fingers of one's hands. As a way of making numbers and arithemtic tangible, this can't be beat. This book gives step by step, methodical training and is written for teaching young children.
30 of 31 people found the following review helpful.
Worthless, completely flat with no real abacus theory
By John
I've given this book a thorough run-through now and the conclusion I've come to is that it teaches absolutely nothing worthwhile.
The entire explanation of how to use an Abacus is completely obvious and lacking any method. For example, in addition there is an example of adding 6421 + 425. When adding 400 to 6421, it says in column 3 (4 + 4): "Upper deck, register1 bead to add 500; lower deck, unregister 1 bead to minus 100." Obvious.
The proper way to perform 4 + 4 on an abacus is to consider the complement of 4 with regards to 5. The complements with regard to 5 are (4 & 1) and (3 & 2). Since we cannot add 4 more beads to the lower register, we set the 5 bead on the upper register and subtract the compliment of 4, which is 1. The book doesn't touch the concept of complementary numbers on 10 or 5.
The difference is subtle. The explanation that you add 5 and then subtract 1 (as 5 - 1 = 4) to add 4 is correct; however, it requires mental calculations. The explanation of complementary numbers on 5 (4 & 1) and (3 & 2) and complementary numbers on 10 (9 & 1) (8 & 2) (7 & 3) (6 & 4) (5 & 5) makes much abacus work mechanical. It's the same difference as teaching someone to compute (97 - 105) via the borrowing method rather than telling them to instead compute (105 - 97) and make the result negative.
Sections on Multiplication and such necessarily require more solid theory.
Heffelfinger & Flom have a better guide online.
29 of 30 people found the following review helpful.
Great book
By Mark Boudreau
This is a great book on a hard to find subject. Gives clear step-by-step instructions as well as practise problems and history. If you want to learn the abacus, this book is all you'll need
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