What is Mental Arithmetic?



Mental Arithmetic 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. It’s more than learning how to count fast. Mental arithmetic leads to:

• A powerful visual and auditory memory
• Increased concentration
• Resourcefulness
• Innovative problem-solving methods
• Improved thought processes

At the beginning of the course, an abacus is used to learn the counting techniques. Later, children learn to do calculations in their head by forming a mental image of a number on the abacus and can do all mathematical operations (addition, subtraction, multiplication, and division) with any numbers in mind.

Who Will Benefit

  • Private Schools

  • Teachers looking for new opportunities

  • Educational Centers

What you will learn

Great teachers help create great students. It is crucial to keep teachers’s knowledge up to date, so they can deliver high-quality teaching. That’s why we pay close attention to teachers and support both new and experienced educators, which in turn, helps improve students’ learning.

  • Addition and Subtraction with 2- and 3-digit numbers, using all methods

  • Mental Calculation techniques

  • Common mistakes

Preparatory level (3-5 months)

During the course we will introduce you to numbers on the abacus as well as addition and subtraction methods. We will guide you through Abacus and Mental Calculation methods for children aged 5 to 15 years old. Children develop concentration and attention span, visual thinking, photographic and auditory memory through mental counting.

  • Preparatory level (3-5 months)

  • Level 1 (5-7 months)

  • Level 2 (2-3 months)

Course curriculum

  • 1

    Introduction to Mental Arithmetic

    • Intro
    • About Abakus School
    • What is Mental Arithmetic?
    • FAQ
  • 2

    Abacus and Simple method

    • Abacus and Numbers
    • How to the use small abacus correctly
    • Abakus and Numbers. Quiz
    • 4 Counting methods
    • Explanation (1 digit number)
    • Simple (1-digit number)
    • Explanation Simple Method (1-2 digit number)
    • Simple (1-2 digit number)
    • Explanation (2-digit number)
    • Simple (2-digit number)
  • 3

    Mental Calculation. Visualization

    • Visualization
  • 4

    Small Friend method (One-digit number)

    • Small Friend method. Intro
    • Explanation SF +1 (1-digit number)
    • SF +1 (1-digit number). Practice
    • SF -1. (1-digit number)
    • SF +2 (1-digit number)
    • SF -2 (1-digit number)
    • SF +3 (1-digit number)
    • SF -3 (1-digit number)
    • SF +4 (1-digit number)
    • SF -4 (1-digit number)
    • Small Friend on small abacus
  • 5

    Small Friend method (Two digit numbers)

    • Before we start
    • Explanation SF +1 (1/2-digit number)
    • SF +1 (1/2-digit numbers)
    • Explanation SF -1 (1/2 digit number)
    • SF -1 (1/2-digit number)
    • Explanation SF +2 (1/2-digit number)
    • SF +2 (1/2-digit numbers)
    • Explanation SF -2 (1/2-digit number)
    • SF -2 (1/2-digit number)
    • Explanation SF +3 (1/2-digit number)
    • SF +3 (1/2-digit numbers)
    • Explanation SF -3 (1/2-digit number)
    • SF -3 (1/2-digit number)
    • Explanation SF +4 (1/2-digit number)
    • SF +4 (1/2-digit numbers)
    • Explanation SF -4 (1/2-digit number)
    • SF -4 (1/2-digit number)
  • 6

    Common mistakes in Small Friend method

    • Common mistakes in SF
  • 7

    Mental Calculation. Two types

    • Two types
    • Mental Counting
  • 8

    Big Friend method (1-digit numbers)

    • Explanation BF +9 (1-digit number)
    • Practicing Big Friend Method
    • Explanation BF -9 (1-digit number)
    • Explanation BF +8 (1-digit number)
    • Explanation BF -8 (1-digit number)
    • Explanation BF +7 (1-digit number)
    • Explanation BF -7 (1-digit number)
    • Explanation BF +6 (1-digit number)
    • Explanation BF -6 (1-digit number)
    • Explanation BF +5 (1-digit number)
    • Explanation BF -5 (1-digit number)
    • Explanation BF +4 (1-digit number)
    • Explanation BF -4 (1-digit number)
    • Explanation BF +3 (1-digit number)
    • Explanation BF -3 (1-digit number)
    • Explanation BF +2 (1-digit number)
    • Explanation BF -2 (1-digit number)
    • Explanation BF +1 (1-digit number)
    • Explanation BF -1 (1-digit number)
    • Why do we start with +-9?
  • 9

    Skipped columns

    • Skipped columns (Addition)
    • Skipped columns (Subtraction)
  • 10

    Big Friend method (1/2 digit numbers)

    • Explanation BF +9 (1/2 digit number)
    • BF +9
    • Explanation BF -9 (1/2-digit number)
    • BF -9
    • Explanation BF +8 (1/2-digit number)
    • BF +8
    • Explanation BF -8 (1/2-digit number)
    • BF -8
    • Explanation BF +7 (1/2-digit number)
    • BF +7
    • Explanation BF -7 (1/2-digit number)
    • BF -7
    • Explanation BF +6 (1/2-digit number)
    • BF +6
    • Explanation BF -6 (1/2-digit number)
    • BF -6
    • Explanation BF +5 (1/2-digit number)
    • BF +5
    • Explanation BF -5 (1/2-digit number)
    • BF -5
    • Explanation BF +4 (1/2-digit number)
    • BF +4
    • Explanation BF -4 (1/2-digit number)
    • BF -4
    • Explanation BF +3 (1/2-digit number)
    • BF +3
    • Explanation BF -3 (1/2-digit number)
    • BF -3
    • Explanation BF +2 (1/2-digit number)
    • BF +2
    • Explanation BF -2 (1/2-digit number)
    • BF -2
    • Explanation BF +1 (1/2-digit number)
    • BF +1
    • Explanation BF -1 (1/2-digit number)
    • BF -1
  • 11

    Common mistakes in Big Friend method

    • Common mistakes in BF
  • 12

    Mixed method

    • Mixed addition
    • Mixed subtraction
    • Explanation Mixed +6
    • Mix +6
    • Explanation Mixed -6
    • Mix -6
    • Explanation Mixed +7
    • Mix + 7
    • Explanation Mixed -7
    • Mix -7
    • Explanation Mixed +8
    • Mix +8
    • Explanation Mixed -8
    • Mix -8
    • Explanation Mixed +9
    • Mix + 9
    • Explanation Mixed -9
    • Mix - 9
  • 13

    All methods

    • Explanation (all methods)
    • All methods. Practice
  • 14

    Tools

    • Consolidation exercise
  • 15

    Homework

    • Homework

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