Start Online Lesson

Zoom

Complete Your Homework

Platform

Join Prime League

Customer Support

Online Chat

Online Lessons

Group or Private tuition

Mental Math is a tested way of developing a child’s academic abilities and creative thinking in a balanced way, allowing them to reach their full intellectual potential.

Our online lessons are designed to take full advantage of technology, bringing the classroom to your device. With real-time responses, the teacher will help your child navigate the world of maths - starting with basics.

Our studio is equipped to ensure every lesson becomes exciting, by explaining mathematical concepts through interactive gaming.

Scientific Literature

Studies that reviewed the effects of using an abacus

The abacus is an ancient counting device that has been used by various civilisations around the world, including the Chinese, Greeks, Romans, and Mayans, among others. The abacus was used as a tool for performing basic arithmetic operations such as addition, subtraction, multiplication, and division. Our Abakus UK program can lead to the following results:

Achieve excellent academic results
Increased ability to learn foreign languages
Greater self-confidence
Better fulfilment of intellectual and creative potential
Fast calculation skills

Click on the studies below to see what scientific literature has found about the effects of learning to use an abacus.

2022

2021

2020

Cohesive Learning

Strong Ecosystem Foundation

Our lessons are reinforced with the principle foundations of psychology - by repeating and rehearsing a task, people improve their skill. With our method, children have an opportunity to boost their abilities to be 2-5 years ahead of their peers in mental arithmetic.

1. Students learn the main principles at the lesson.

2. By completing tasks on the online portal, students rehearse what they learn.

3. After completing workbooks, children reinforce their knowledge by practising.

Abakus UK Mental Arithmetic

Academic Curriculum

Click on the levels and topics, to find out what our curriculum offers.

By understanding what we are able to provide, you can establish if this is what you are looking for.

Academic year timeline in weeks

Weeks

Topic

Parts of the Abacus

The abacus is a counting tool consisting of a beam, rectangular frame with a series of parallel rods, each with beads that can be moved up and down. The beads on the top section of each rod represent 5, while the beads on the bottom section represent 1 to 4.

The abacus can be used for basic addition, subtraction, multiplication, and division. To use it for addition, you would move the appropriate number of beads for the first number, add the second number by moving the corresponding beads, and then count the total number of beads for the sum. The abacus is a simple yet powerful tool that has been used for thousands of years for mathematical calculations. The abacus is a versatile and reliable tool that continues to be useful in many contexts, even in the era of modern computing.

Examples

Beam

Frame

Rods

Beads

Topic

Origin of the Abacus

The abacus is an ancient counting tool that originated in Sumeria around 4,500 years ago. It was later adopted and adapted by many other civilizations, including the Babylonians, Greeks, Romans, Chinese, and Japanese.

Over time, each culture added their own unique features and innovations to the abacus, making it a crucial tool for early mathematics and commerce. The abacus remains an important tool in many parts of the world, particularly in Asia, where it is still used in schools to teach children about mathematics.

The abacus was a crucial tool for early mathematics, allowing people to perform complex calculations quickly and efficiently. In fact, the word "abacus" comes from the Greek word "abax," which means "calculating board."

Examples

Topic

Importance of stimulating the brain

Neurofitness exercises focus on improving brain function and neural connections to enhance coordination and perform complex movements. These workouts can improve cognitive function, attention, and memory.

Examples of Neurofitness exercises include "pat your head and rub your tummy," which trains the brain to perform two different movements simultaneously, and "changing hand signs," which improves hand-eye coordination and rhythm.

Incorporating these exercises in our lesson routine can be an enjoyable and effective way to improve overall brain function, enhance coordination, and reduce stress. Remember, there are many other types of Neurofitness exercises to try, so try our lessons to find the ones that you work best for you.

Examples

Exercise 1

Exercise 2

Topic

Training short-term memory

Short term memory is like your brain's notepad. It helps you remember things for a short time, like a phone number or a list of instructions. Without it, you'd forget what you were doing all the time! That's why it's important to pay attention and repeat things to yourself to help your brain remember them.

By practising Flash Cards, the number of items that can be stored in the short-term memory increases. The objective is simple: a student sees a number or beads, which disappear after one second. The student must recall the correct number of beads from memory.

At level 1, the technique is improved to recall up to 3-digit numbers, with observation time ranging from 4 seconds to 0.2 seconds.

Examples

= 1

= 8

= 25

= 603

Topic

Using an abacus to learn addition

Abacus has rows of beads to represent numbers. Move beads up to show numbers for addition, then count the total number of beads for the answer.

At level 1 of the program, students learn to add up to 2 and 3 digit numbers. The terms (quantity of examples in a single question) increases with difficulty.

The next step of the program, is memorising an abacus, and performing operations in the mind. This trains students to have spatial awareness while developing short-term memory and visual imagination.

At this stage in level 1, students can typically solve one and two-digit questions with up to 5 numbers consecutively.

Examples

+

=

+

=

102

361

463

Topic

Using an abacus to learn subtraction

Subtraction finds the difference between two numbers or quantities. Similar to addition, at level 1 of the program, students learn to subtract 2 digit numbers. To aid with understanding, our method uses simplified explanations and games to deliver the important concept of deduction.

Additional training and practice is given through workbook exercises. Our online platform allows students to practice unique questions an unlimited number of times, to perfect their understanding.

As with addition, the ability to subtract numbers mentally is imperative to get a full grasp in the world of mental arithmetic.

Examples

-

=

-

=

Topic

Advanced counting with rules

It is important to use rules when calculating on an abacus to ensure accuracy, consistency, and efficiency in the calculation process. Rules provide a structured and standardised approach to using the abacus, which helps to minimise errors and increase speed in calculations.

Additionally, rules help to make the calculation process more understandable and accessible to learners, as they provide a clear framework for how to use the abacus to perform mathematical operations.

At level 1 of the program, we teach students to use the Big Friend method and Small Friend method. In total there are two sets of 13 rules to follow, for addition and subtraction, respectively,

Rules Guide

Academic year timeline in week

Weeks

Topic

Formation of numbers

The formation of numbers from 1-4 and 5-9 is reviewed in detail. Students learn the definition of digits and how that affects numerical notation of: units, tens, hundreds and thousands.

The lower beads on an abacus represent numbers 1, 2, 3 and 4. The upper bead on an abacus represents number 5. When combined, the upper and lower beads can be added together to create numbers 6, 7, 8 and 9.

Classical methods of memorising answers to simple math questions are explored in depth. This is compared with how Abakus UK helps establish a new systems of calculation.

Adapting a new approach to mental arithmetic requires patience and the ability to critically evaluate information.

Level 0 of the Abakus UK curriculum is tailored to children who are aged 4-5 and are still learning basic mathematical concepts. Students who are already aware of number theory, typically enrol straight into level 1 of the program.

Topic

How to use an abacus counting tool

The abacus predates the modern calculator. By correctly using an abacus as a counting tool, users are able to quickly and efficiently count large and complex sums in a matter of seconds.

An abacus must be put on a flat surface. Start by placing your left hand on the abacus, making sure that it is stable. The right hand moves beads up and down. The thumb is used to move beads 1, 2, 3 and 4 up only. The index finger is used to move beads 1, 2, 3 and 4 down only, but it has another function. The index finger can also move the upper bead (5) up and down.

To reset all of the beads on the abacus, clasp the index finger and thumb together and slide them along the beam of the abacus.

Practice moving all of the beads up and down along all of the other rods.

Examples

To practice efficiently on an abacus, start with moving beads up and down comfortably, and then move on to the basics of addition and subtraction. Regular practice is essential. Flashcards and our other online platform games can be helpful supplements. Challenge yourself by setting goals and increasing the difficulty of the problems as you improve. By following these tips, you can become more proficient at using an abacus for mathematical calculations. Eventually, the goal is to memorise the whole abacus in the mind, so that the same calculations can be done mentally, without this tool or even a calculator.

How to improve and become better?

Topic

Practice to visualise an abacus in the mind

Performing mental calculations in abacus competitions is a highly skilled task that requires practice and training. Here are some suggestions on how to perform mental calculations without a physical abacus:

Visualisation: Imagine the abacus in your mind and visualise the movement of the beads as you perform the calculation. This technique can be helpful in maintaining accuracy and reducing errors.
Memorisation: Memorise certain patterns on the abacus, such as the patterns of multiples or squares. This can help you perform calculations more quickly and efficiently.
Mental math techniques: Learn mental math techniques such as the use of complements, or breaking down numbers into smaller parts, to simplify complex calculations. These techniques can be applied without an abacus.
Practice: Regularly practice mental calculations without the aid of an abacus to build mental math skills and improve speed and accuracy.

Remember, performing mental calculations without a physical abacus is a highly skilled task that requires practice and training. By utilising visualisation, memorisation, mental math techniques, and regular practice, you can improve your mental math skills and perform complex calculations without the aid of an abacus.

Topic

How to add and subtract 1-digit numbers

There are certain rules that must be followed when calculating answers on an abacus. In this example, we will only use the simple method.

This is how to add and subtract 1-digit numbers on an abacus. To add on an abacus:

Place the abacus in front of you and identify the rod of beads that represents units.
To add 1 + 3, for example, start by moving 1 bead up with the thumb, towards the beam.
Then, move 3 more beads up, on the same rod.
Count the total number of beads that are now closest to the beam. In this case, there are 4 beads closest to you, which represents the answer of 4.

To subtract on an abacus:

To subtract 3 - 1, for example, start by moving 3 beads up with your thumb, on the rod that represents units.
Then, move 1 bead down with your index finger, from the same rod.
Count the number of beads that are left raised closest to the beam. In this case, there are 2 beads, which represents the answer of 2.

Remember, practicing these simple addition and subtraction problems with your abacus will help you become more comfortable with using it. Good luck!

Topic

Introduction to numbers

Hi there! Let's talk about numbers. Have you ever counted your toys or how many steps you take to get to the park? Well, those are numbers! Numbers are symbols that we use to count and describe how much or how many of something we have.

Numbers can be small, like 1, 2, 3, or really big, like 100, 1000, or even more! They help us do lots of things like counting, adding, subtracting, and more.

Numbers are important in many parts of our daily lives, like when we go to the store and buy things, or when we need to know what time it is.

As you learn more about numbers, you'll see that they can be really fun to play with and use. So, let's get started and learn more about this amazing world of numbers!

Academic year timeline in weeks

Weeks

Topic

Advancing short-term memory

By investing time and effort into improving our short-term memory, we can overcome challenges and feel more empowered in our daily lives.

At level 1, the flashcard technique is honed to help you recall up to 3-digit numbers, with the observation time as low as only 0.2 seconds.

In comparison, at level 2 of the program, students

learn how to memorise up to 5 and 6-digit numbers. This helps them remember additive information. Memorisation takes place in the form of visualising beads that disappear after a set amount of time. If you've ever felt the frustration of forgetfulness, know that you're not alone.

By training with flashcards, we can gradually increase our memory capacity and learn to retain more information for longer periods.

Examples

= 44,012

= 21,906

Topic

Mastering addition and subtraction

Mastering addition and subtraction on an abacus is important because it helps develop mental math skills, improves concentration and memory, and provides a strong foundation for future math concepts. It also teaches the concept of place value and helps children understand the relationship between numbers.

At level 2 of the academic curriculum, students learn how to perform 3 and 4-digit addition and subtraction (on an abacus), with up to 8 terms per question.

As mental capacity increases, visuospatial perception improves to allow students to calculate up to 2 and 3-digit numbers in the head. This method enables children to overcome significant milestones and participate in competitions and olympiads.

Examples

7335

613

5470

211

3134

1931

5467

2187

6701 3264 2146 9307 6876 561

511

124

3115 2821 252

358 1006 3692

These are examples of what is possible to perform in the head, without using a calculator after only 2 years of studying with Abakus UK. To achieve best results, students must attend every lesson and complete all academic material provided.

Topic

Advanced counting with rules

At level 1 and 2 of the program, we teach students to use the Big Friend method and Small Friend method. In total there are two sets of 13 rules to follow, for addition and subtraction, respectively,

Rules Guide

Topic

Mental calculation and visualisation training

First students learn to use an abacus. By improving their cognitive function they can memorise larger sets of data. With this, a virtual version of an abacus is memorised. By training fine-motor skills, students are able to perform the same operations through muscle memory in their mind. As the rules for addition and subtraction are the same, students effectively use our method to learn how to visualise the "calculator" in their head.

At level 2 of the academic curriculum, students learn how to add and subtract 1 and 2-digit numbers (in their head), with 5 consecutive terms, in less than 1.5 seconds per operation.

These are some examples we use to improve short-term memory and spatial awareness of students.

Examples

1/1

Topic

Benefits of improving fine motor skills

Fine motor skills are more than just daily necessities; they are essential for a child's growth and development. Each precise finger movement in writing, drawing, counting on an abacus can bring a sense of accomplishment and pride. It is through that by mastering these skills, children can gain self-confidence and independence.

Using an abacus is more than just a tool for learning math; it is a means of developing fine motor skills, enhancing cognitive abilities, and igniting a passion for learning. Each bead that is carefully moved demands focus, attention, and determination, strengthening hand muscles and improving overall dexterity. As children progress in their abacus training, they can experience the joy of mastering a new skill, boosting their self-esteem and motivating them to achieve more.

Topic

Expanding on multiplication and division

Similar to performing addition and subtraction, the abacus allows for multiplication and division operations to be executed with ease by following certain rules.

In the curriculum's 2nd level, students' foundational knowledge is further fortified. The multiplication table is reviewed, ensuring that students are proficient in all times tables from 1 to 12. As students begin to tackle more complex multiplication and division problems using the abacus, they initially start with two and three-digit numbers. However, with diligent practice, students can seamlessly multiply thousands against units and tens.

As a result of their progress, students often participate in international olympiads to exhibit their aptitude, and in turn, earn recognition and rewards.

Current Projects

Join our annual events for free and participate in competitions to test your abilities. Students compete in our Prime League and in International Olympiads for the prestigious title! Order our magazine to learn more about how to join our Abakus Universe! We offer a wide variety of content for our students, starting with initial FREE consultation for parents, to online games competitions!

This is an example of a students annual progress report. During consultation, a metric is determined based on expectation from the parent. Throughout the academic year, traits, characteristics and abilities are measured in terms of their development. Parents get to see statistical improvements in their child's capabilities.

This person managed to attain level 3 proficiency on an abacus, which means that they are able to multiply and divide. The person has many strengths including mental counting. Attainment in pattern recognition, logical thinking and visual perception have all exceeded initial expectation. Detailed statistics highlight that this person is leading in mathematical and logical abilities, in comparison to their peers.

Detailed reports provide parents with more in-depth information about their child's progress. Major achievements are discussed weekly with parents to support students with their goals. Ambition can be developed by encouraging the student to achieve higher goals. Dedication and diligence can be improved by allowing the student to take responsibility for completing homework on their own.

This student developed excellent mental imaging and arithmetic counting by focusing on their Course and Workbook. The student successfully participated in multiple in-house and international olympiads. Attainment has surpassed the expected level and performance reflected their hard-work in competitions. This student no longer struggles with maths and understands complex questions and equations.

The annual progress report is important as it helps with determining performance through assessment. Accountability and goal setting can be reflected in weekly task completion. A thorough reflection and self-assessment allows the teacher to gauge each students insight and confidence into their own work. Feedback is given to the parent and student to ensure that recognition is given where it is due.

A student who practices with an abacus is typically miles ahead of their peers. This student has excelled at fast counting and won several awards in competitions. Their visual and spatial ability allows them to calculate 4 and 5-digit numbers with ease. Mental imaging and memory retention is also significantly improved in comparison to the beginning of the academic year. The student improved focus and attention at lessons.

Our Lesson

Our approach to teaching mental arithmetic is fun and most importantly, effective. Cutting-edge teaching methods combined with BrainFitness make studying mental maths both interesting and valuable. Our students are consistently top in their maths class.

After learning with an abacus for two years, the mental arithmetic capacity of a 8 to 9 year old, is equivalent to that of a Mathematics graduate. Our students are able to add, subtract, multiply and divide as fast as a calculator. Why not try your skill against one of our students to see for yourself?

Try your skill

Solve these questions to test your skill. At the end you can see how well you did!

Pricing

Standard pricing for our lessons include one academic lesson per week, in an online group of students with similar age and academic level.

Our plans include a 9-month contract that covers the academic year. The price of the membership includes costs associated with licensing, online portal use and competition enrolment.

A fast track method is available for students to practice with Abakus UK for 2 academic hours which includes FREE textbooks and FREE abacus counters. Click View all to learn about other memberships.

Group Trial
60£

One month trial of 4 lessons
Valid for one month
Best Value
Academic Year
50£
Every month
1 academic hour per week
Valid for 10 months
Full Academic Year
90£
Every month
2 academic hours per week
Valid for 10 months

More Info

Marketplace

Follow Us on Instagram

Our Partners:

RCS Haven

Education Centre

RCS Haven is an Education Centre (Scottish Registered Charity No SC035880) registered with Pearson EDEXCEL (70233) and SQA (N 3014177).

Based in Glasgow, we are the only independent officially registered centre which provides opportunity to candidates including private candidates to sit these type of examinations in Scotland. We cover GCE A Level, GCSE and International GCSE (IGCSE) exams with Edexcel exam board.

Working since 2004, the centre helped hundreds of students across Scotland to achieve desired qualifications for university entries and jobs.

Umniki.co.uk

Educational Board Games

Learning could be fun too! Wether you are searching for a game to enhance your child's school curriculum, doing complete homeschooling or just want some family fun. Great selection of Children's Board Games for the whole family. Excellent present your child will appreciate and enjoy! We specialise in unique games for true games lover in Russian and English language.

Online Lessons

Scientific Literature

Cohesive Learning

Academic Curriculum

Examples

Examples

Examples

Examples

Examples

+

=

+

=

Examples

-

=

-

=

Rules Guide

Examples

Examples

Examples

Rules Guide

Examples

Coming Soon!

Current Projects

Our Lesson

Try your skill

Pricing

Group Trial

Academic Year

Full Academic Year

Marketplace

Follow Us on Instagram

Our Partners:

Abakus Europe

RCS Haven

Umniki.co.uk