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Publish at January 23 2024 Updated January 23 2024

Integrating the abacus into maths teaching

The abacus as a tool for learning/teaching mathematics

A child in front of an abacus - AI-generated

In an ever-changing world, education must adapt to prepare children for the challenges of the 21st century. In a society where calculators and digital technologies are ubiquitous, mathematics education faces new challenges. One of these challenges concerns the acquisition of sound mathematical skills. In this article, I encourage educational decision-makers and teachers not to overlook culturally relevant solutions for teaching/learning mathematics. The soroban, also known as theabacus, is one of the factors explaining the high performance of Asians in mathematics, and its use should be further democratized throughout the world, and especially in Africa.

Background and problem

In today's digital age, children are exposed to digital technologies and calculators at an early age, which can limit their understanding of fundamental mathematical concepts. In addition, studies show that excessive use of technology can negatively affect children's ability to perform mental calculations and conceptualize more complex mathematical operations. As a result, many educators and researchers recognize the need to reintroduce more traditional learning methods to reinforce basic mathematical skills.

An ancestral solution of contemporary utility

The soroban, or Japanese abacus, has been used for centuries in Asian cultures, and is one of the reasons for the high performance of Asian countries in PISA (Programme for International Student Assessment). The PISA 2022 report reveals that the highest levels in mathematics are all from Asian countries: Singapore, Macau, Taiwan, Hong Kong and Japan. The lowest-performing countries are Cambodia, Paraguay, the Dominican Republic, El Salvador and Guatemala.

Numerous studies have demonstrated that the use of soroban can lead to a significant improvement in mental arithmetic skills, calculation speed and accuracy of results. For example, this study revealed that students using soroban demonstrated a 30% improvement in their mental arithmetic speed. As a result, soroban is gradually being used in several countries for mathematics teaching purposes, and initiatives have also been observed in the USA, Brazil and India.

7 advantages over other teaching methods

Soroban has a number of pedagogical advantages over contemporary teaching methods:

  1. Learning by doing: Handling the Soroban enables tactile, motorized learning of mathematical operations, which promotes memorization.
  2. Development of logic: The arrangement of the balls encourages logical reasoning to solve mental arithmetic problems.
  3. Speed of calculation: mastery of the Soroban makes operations smoother and faster than with paper/pencil.
  4. Hand-eye coordination: Its use stimulates coordination between sight and touch.
  5. Fun motivation: Its counting-game format makes learning maths more attractive.
  6. Error-free learning: Unlike the written word, there's no risk of typing or erasing errors, which helps concentration.
  7. Portability: Its compact format makes it practical for practicing anywhere.

How does it work?

YouTube video on calculating with a soroban

The soroban is made up of beads manipulated on rods. Manipulating the soroban's beads requires sustained attention, promoting greater focus and deeper absorption of mathematical concepts. This method of use involves learning positional decimal numeration and basic mathematical operations. This approach reinforces understanding of fundamental mathematical concepts and promotes better visualization of operations, leading to stronger mathematical skills.

An opportunity for African countries?

Mathematics, although a fascinating discipline, is subject to prejudice and sometimes rejection by young people in Africa[1]. When Christophe Fotso, a Cameroonian math teacher, corrected the maths papers of 3,000 students taking the Brevet d'étude du premier cycle (BEPC) exam, he found that fewer than 100 papers scored 10 out of 20 or higher.

This led him to question the factors behind this poor performance: "What do math teachers say to children in class, and what explains such a high failure rate? Is it the content? Teaching methods?

These questions led him to research mathematics teaching-learning practices in Africa and make proposals for improvement. Among the proposals suggested, I think the introduction of soroban would be of added value for the following reasons:

  • Soroban, although mostly practiced in Asian countries, has its origins in Africa, notably Egypt. The Greek historian Herodotus mentioned the existence of the abacus in ancient Egypt. He wrote that the Egyptians manipulated pebbles from right to left, in contrast to the Greek method, which went from left to right[2].

  • Soroban promotes a better understanding of fundamental mathematical concepts such as arithmetic, operations and numeration. Concepts that remain difficult for African pupils because they are taught in a theoretical way, with little connection to everyday practice. It's no longer a question of getting pupils to memorize formulas, but of bringing formulas down to everyday realities.

  • Soroban is a simple tool, requiring no sophisticated educational resources. It can be used in environments with limited resources, offering a practical educational solution for African countries facing challenges of accessibility to modern technologies.

  • The tangible nature of soroban and its interactive aspect can spark students' interest in mathematics, fostering greater engagement and motivation to learn the subject.

Finally, introducing soroban will enhance and preserve traditional cultural practices, offering an additional dimension to learning mathematics. Indeed, it is necessary to adopt an ethnocentric approach to teaching mathematics, as we naturally learn from the objects, tools and methods that are naturally present in the everyday environment. This is the case, for example, in Burkina Faso, where illiterate peasants from the Siamous ethnic group - studied by Kalifa Traoré and Souleymane Barry - have mathematical practices based on the construction of rectangular huts; and they propose an African approach to the didactics of mathematics. Mathematics is within everyone's reach, as long as each and every one of us pushes back our limits and pursues it with tenacity, efficiency and perseverance, in strict compliance with the principles of scientific reasoning.

Ultimately, the benefits of soroban in terms of concentration, mental calculation, understanding of mathematical concepts and accuracy are backed up by convincing studies and statistics. It is therefore imperative that educators and decision-makers in the field of education seriously consider the adoption of soroban as a complementary tool to provide children with a solid foundation in mathematics and strengthen their cognitive skills. By adopting soroban, we offer children an enriching and stimulating pedagogical approach to developing their mathematical skills, preparing them for tomorrow's mathematical challenges.


References

[1] This is partly the result of a historical oversight, given that Africa contributed greatly to the development of mathematical thought. Alexandria, the scientific and mathematical heartland of Greece, was on Egyptian soil. It was in Alexandria that Greek mathematics reached its apotheosis, and many of the greatest mathematicians in history came from Alexandria: Euclid, Ptolemy, Heron, Diophantus, etc. In addition, algebra and mathematics were developed in Alexandria. What's more, classical algebra, over 4,000 years old, also originated in ancient Egypt and Babylon. A better understanding of the contributions of Africans to the development of mathematics would help demystify mathematics for young Africans.

[2] Smith, David Eugene (1958). History of Mathematics. Dover Books on Mathematics. Vol. 2: Special Topics of Elementary Mathematics. Courier Dover Publications.

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https://www.apmep.fr/Les-defis-de-l-enseignement-des-9866

Abacus - Wikipedia
https://fr.wikipedia.org/wiki/Abaque_(calculation)

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Children Do Much Better in Math When Music is Added to the Lesson: New Study
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In Africa, mathematics must be made more practical" - Mouhamed Moustapha Fall - Szymon Jagiello
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La problématique d'une voie africaine en didactique des mathématiques: vrais et faux enjeux - Kalifa Traoré - Souleymane Barry - https://emf.unige.ch/files/8014/5389/0085/EMF2006_GT3_Traore_Barry.pdf

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International Group of Experts on Science and Mathematics Education Policies, Paris, 2009 [4]
https://unesdoc.unesco.org/ark:/48223/pf0000191776


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