Cracking Mathematical Algorithms: A Brief Introduction To Abacus

WHAT IS AN ABACUS ?

A PHOTO OF ABACUS
ABACUS

An Abacus is an ancient tool used to study mathematics over all around the world. It is defined as a counting instrument used by sliding counters along rods or troughs to perform numerical operations. The abacus, also known as the abacus, is a counting instrument that has been used since ancient times. It was used in ancient times in the Near East, Europe, China and Russia. It is used for basic algebraic mathematical calculations like addition, subtraction, multiplication and division. Additionally, abacus can also be used to find the square and cubic values of any whole number.

An abacus is called अबेकस in Hindi. In this article I am going to share all the information about an Abacus like its description, its history, its working and much more.

DOES IT EVEN HAS A HISTORY ?

HISTORY OF ABACUS

The abacus is one of the oldest known calculating tools, with a history dating back thousands of years. Its exact origins are uncertain, but it is believed to have been invented by the Sumerians in ancient Mesopotamia around 2400 BCE. The earliest abacuses were made from sand or dust on flat surfaces and used simple grooves for counting. As trade and civilizations spread, the abacus evolved and was adopted by various cultures, including the Egyptians, Greeks, Romans, and Chinese. Each culture developed its own version of the abacus, with varying designs and methods of calculation.

The Chinese abacus, known as the suanpan, is one of the most well-known and widely used variations. It appeared around the 2nd century BCE during the Han Dynasty and is still in use in some regions of Asia today. The suanpan typically consists of a rectangular frame with rods or wires, each containing a series of beads that can be moved to perform calculations. During the Middle Ages, the abacus continued to be an essential tool for merchants, traders, and scholars in Europe and the Islamic world. With the introduction of Arabic numerals and the adoption of more advanced mathematical techniques, the abacus became even more relevant in aiding complex calculations.

With the advent of mechanical calculators in the 19th and 20th centuries, the popularity of the abacus declined in many parts of the world. However, it still remains a valuable educational tool for teaching mathematical concepts, and in some cultures, it holds traditional and symbolic significance. In recent times, the abacus has experienced a revival as an educational aid to develop mental arithmetic skills and enhance brain development, especially in early childhood education. Its enduring legacy continues to inspire fascination with the ancient roots of mathematics and human ingenuity.

HOW EXACTLY DOES AN ABACUS WORKS ?

Let’s take an example  - Let's say we have a simple abacus with 5 rows of beads, and each row has 5 beads. Here's how it works:

A PHOTO OF PARTS OF AN ABACUS
PARTS OF AN ABACUS

1.     Representing Numbers: The abacus can represent numbers from 1 to 9,999. For now, we will only focus on smaller numbers to keep it simple.

2.     Place Value: Each row of beads on the abacus has a specific value, just like numbers have place values (ones, tens, hundreds, etc.). Starting from the right side, the rows have the following place values: ones, tens, hundreds, thousands, and ten-thousands.

3.     Example: Let's represent the number 732 on the abacus. To do this, we'll position the beads accordingly:

-        Move 2 beads on the thousands row to the left.

-        Move 3 beads on the hundreds row to the right.

-        Move 2 beads on the tens row to the right.

The abacus should now look like this:

A DEMONSTRATION OF WORKING OF ABACUS VIA ChatGPT
WORKING OF ABACUS

4.     Reading the Number: To read the number on the abacus, simply count the beads on each row. In our example, it's 732.

5.     Adding Numbers: If we want to add numbers, we can move the beads to represent the numbers we want to add and then count the beads to get the result. Similarly, for subtraction, we move beads in the opposite direction to represent the numbers and then count the remaining beads to get the result.

6.     Why It's Helpful: The abacus helps us visualize and understand numbers better. It's like having a colourful and tactile calculator!

So, the abacus is a fun and useful tool for doing math, especially for young kids who are learning about numbers and arithmetic.

ADVANTAGES OF AN ABACUS

There are several advantages for the kids who use abacus while studying and plays with it. Scientific Research had been conducted on the kids who use abacus, the results were pretty shocking and it shows the following improvements and impacts on the brain:

1.     Improves thinking

2.     Improves observation and attention

3.     Improves vision and imagination

4.     One of the benefits of the abacus is that it improves memory

5.     Increase speed and accuracy

6.     Enhance creativity

7.     Increase self-confidence

8.     Strong learning foundation

9.     Reduce stress

10.  Developing all driving skills

11.  Develops the ability to analyze, one of the main benefits of the abacus

DIFFERENT VARIETIES OF ABACUS

In the past their have many types of abacuses in our world, each had unique look and design but many of the perished while some managed to survive. Here the list of the notable ones:

·       Chinese Abacus (Suanpan): The suanpan is the most well-known type of abacus, originating in ancient China. It consists of a rectangular frame with two decks of rods or wires. The upper deck usually has two beads on each rod, representing the value of five, while the lower deck has five beads on each rod, representing the values one to four. The suanpan is widely used in Chinese culture and is still employed in some Asian countries.

·       Japanese Abacus (Soroban): The soroban is a variation of the Chinese suanpan and is used in Japan. It features a rectangular frame with an odd number of rods on the upper deck and an even number of rods on the lower deck. Each rod on the upper deck has one bead, representing the value five, while each rod on the lower deck has four beads, representing the values one to four. The soroban is popular in Japanese schools and is considered an essential tool for mental arithmetic training.

·       Russian Abacus (Schoty): The schoty is a traditional abacus used in Russia and other Slavic countries. It has a rectangular frame with ten vertical rods and one bead on each rod. The schoty is a simple and efficient tool for performing basic calculations and remains part of Russian cultural heritage.

·       Nepalese Abacus (Soroban): In Nepal, a soroban-like abacus is used for arithmetic calculations. It is similar to the Japanese soroban but might have variations in the number of rods and beads.

·       Western Abacus: The Western abacus, also known as the "Greek" or "Roman" abacus, was used in ancient Greece and Rome. It had a flat surface with carved grooves or lines, and small stones or counters were placed in the grooves to perform calculations.

·       Indian Abacus: The Indian abacus, also called the "Darshanika" or "Kak-koori," is a traditional calculating tool used in ancient India. It consists of a wooden frame with two decks of rods, and pebbles or seeds are used as counting objects.

·       Salamis Tablet: The Salamis Tablet was an ancient Greek abacus-like device, made of bronze or marble, with carved lines and shallow holes for performing calculations.

MODERN-TIME ABACUS

While in the prime time of the abacus, it was in a great use. It is still in use as it helps to teach the basics and fundamentals of mathematics and arithmetic to the children in all over the world. The Japanese designed Abacus “Soroban” has been in use for several ages for the calculations of multi-digit numbers and still in use today. As it serves as an instrument with which children can study and at the same time play, indirectly and directly affecting and improving their maths grasping abilities.

CONCLUSION

In conclusion, the abacus is an ancient and easy-to-use counting instrument that has played an important role in the development of mathematics throughout history. Its origins can be traced back to various civilizations, including the Sumerians, Indians, Egyptians, Greeks, Romans, and Chinese. The abacus has evolved over time, with different cultures creating their unique versions of this calculating tool. Despite the advent of modern calculators and digital technology, the abacus remains relevant, especially as an educational aid for teaching arithmetic and improving mental math skills in children. Scientific research has shown that using the abacus can have several positive effects on brain development, memory, attention, and creativity in young learners.

Different types of abacuses, such as the Chinese suanpan, the Japanese soroban, the Indian abacus, the Russian schoty, and others, have been used in different parts of the world. Each type has its distinct design and methods of calculation. While the abacus might not be as widely used for day-to-day calculations in modern times, its enduring legacy continues to be appreciated in educational settings and as a symbol of human ingenuity in the development of mathematics. It serves as a testament to the creativity and practicality of ancient civilizations and their contributions to the advancement of human knowledge. The abacus remains an invaluable tool for understanding numerical concepts and fostering a strong foundation in mathematics for generations to come.

REFERENCES

Here is the list of websites, I recommend you to view as they have tons of useful information that I haven’t included, information of different types of Abacuses will be provided here:

  1. WIKIPEDIA
  2. WikiHOW
  3. Investopedia
  4. ABACUS TRAINER

THANK YOU !!! FOR THE READING TILL LAST AND I HOPE YOU ALL LIKED IT & DON'T FORGET TO SHARE THE ARTICLE!!!

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