Home Uncategorized The ABACUS Method of Counting

The ABACUS Method of Counting

15
0
SHARE

Number sequences have hidden patterns. An example is the sequence 2, 5, 10, 17, 26.

But there is an underlining pattern as described below
2 = (1 * 1) + 1
5 = (2 * 2) + 1
10 = (3 * 3) + 1
17 = (4 * 4) + 1
26 = (5 * 5) + 1

Similar other patterns in sequences of numbers can be easily imagined and constructed. If one takes the case of addition using counting beads. Since counting following some rules it is possible to Mechanically construct a machine that automatically counts sums, differences, LCM, HCF and also does multiplication and addition.

The benefit of using any observable pattern during counting is the minimization of time taken to add 100 numbers or subtract 100 numbers. A computer that uses boolean gates can add a million numbers within half a second. Similar to ABACUS is based on a specific observable pattern.

1,2,3,4
5
6 = 5 + 1
7 = 5 + 2
8 = 5 + 3
9 = 5 + 4

11 = 10 + 1
12 = 10 + 2

17 = 10 + 5 + 2

If you require 9 beads to represent 9 numbers, the ABACUS simplifies the representation process by using only 6 beads for all the 10 numbers from 0 to 9. Using such a recurrence additions such as 4 + 4 are simplified as 4 + 5 – 1. There are distinct beads for the tens, hundreds and other places.

So using some sort of simplification the time and space required for addition is minimized. As a word of caution a child identifies 5 beads as 5 correctly. But the ABACUS method forces them to observe 5 beads as the number 9. The children are not taught about pattern matching and are forced to to follow a learning course that teaches them to identify 1 bead as 5 or 2 beads as 6 or 5 beads as 9.
The child however correctly identifies (pictureically) 1 bead as 1 and 2 beads as 2 by simply counting without applying any patters that are hidden.

The ABACUS in synopsis just simplifies the counting process by using existing latent patterns in numbers. This however does not mean that the ABACUS should be forcibly taught to school children when they would not be exposed to understanding patterns in numbers. Patterns in numbers are taught to youth in college.

By learning the ABACUS a child may incorrectly identify 1 bead as 5 when its thought process correctly identifies 1 bead as 1.



Source by Srinivasa Gopal

LEAVE A REPLY

Please enter your comment!
Please enter your name here