"Abaku turns math into a game – joy is not a reward here, but a path to understanding."
Mathematics can be a source of frustration, or a source of joy. The difference is in the method. Abaku shows that joy is not a side effect, but a tool for learning. Children learn faster because they want to – not because they have to.
Every teacher faces a choice: either let children experience arithmetic as they have come to know it from experience – with the inevitable division into "those who progress" and "those who fall behind", or give them a chance to experience it as a game that pulls everyone forward.
And what could a teacher want for themselves and their students more than the joy of learning that brings real progress? Perhaps only support from excellent methodology that we offer you here – practical, simple and shared in school practice.
With wishes that it serves you well,
Abaku author team – your fellow teachers
7 principles of the abacus example / number or "...what is abaku?"
The Abaku methodology consists mostly of 5/10/15-minute tasks, games, exercises and assignments, which we recommend using in your lessons at the beginning or end of the class. Its mission is to review, practice and strengthen the development of the ability to calculate mentally (up to 10, up to 100 and more). You can use the methodology in kindergartens, primary and secondary schools. All worksheets and crosswords can be printed and laminated for repeated use.
Getting started with one
Child motivation - about introducing and practicing the method / Jaroslava Bížová
How it works for us - about introducing and practicing the method / Lucie Bartošová
The Player - about behavior and manifestations of players in online Abaku / Vlastimil Lisse, Ludmila Adamcová
First grade porridge - historical teaching of counting for first grades of general schools / František Tesař
Experiences with Abaku
Play is education
For kindergartens
For primary and secondary schools
Plusville - II. Basic teaching practice / Alena Vávrová
Combo - about specific combination of numbers / Tomáš Krätschmer
3x is the base - Didactics of repetition / Vladimír Tesař
Calculator - a set of practical tips for your calculator
Curriculum
Chat GPT - practical advice on how to use artificial intelligence
Tools
Dice - rules and use
Cards - rules and use
Cards Ten - Ten game and its solutions
Stones - rules and use
Board game - rules and use
Working and game mat 1x1m
Large stones - 4cm diameter
Magnum - magnets for magnetic board
Trophies
Board game (partisan) - record
sheet
Board game (rules) -
complete game rules
Worksheets
Suitable for independent work, homework, group work and work with the whole class on an interactive board.
Numbers with signs:
Addition to 10 (numbers 1-10) - Subtraction to 10 (numbers 1-10) - Multiplication to 20 (numbers 1-9) - Division to 10 (numbers 1-9)
Addition to 20 (numbers 1-10) - Subtraction to 10 (numbers 11-19) - Multiplication to 40 (numbers 3-9) - Division to 10 (numbers 3-9)
Multiplication to 90 (numbers 5-10) - Division to 10 (numbers 5-10)
Numbers without signs:
Addition / subtraction to 10
Addition / subtraction to 20
Multiplication / division to 20
Multiplication / division to 40
Multiplication / division to 90
Start:
Chain - Rows A / Chain - Rows B / Chain - Rows C / Stones (templates) / Safe / Safe 2 / Balls Blank / Balls 1 / Balls 2 / Maze / Cube / PlanPlusville:
Car Blank / Car 1 / Car 2 / PR Car 1 / PR Car 2 / PR Car 3 / City / Mobile / Fountain 1 / Fountain 2 / Powers 1-9 / Powers 11-19Timing:
Tact 1-2-3-4 / Tact 2-4-6-8 / Tact 1-3-5-7 / Tact 1-4-7-10 / Tact 2-5-8-11 / Tact 3-6-9-12Abacus and logical sequences / abacus measures / crosswords:
Logical Sequences (30 x) -
logical sequences graded by difficulty / for active minds
Abacus sequences (30 x) -
logical sequences graded by difficulty / for moderately and more advanced
Abacus measures (30 x) Tasks
Abacus measures (30 x) Solutions
Crosswords / Pictures (40 x) - a set
of picture crosswords for finding examples
Crossword - Evolution / Terminator / Panda
Combo:
Board game:
Partisan - record sheet
Complete game rules
Short game rules
Tests / tasks:
Find all examples test -
practicing addition, subtraction, multiplication, division, square and cube roots
Arithmetic test 1. (without signs)
Arithmetic test 2. (without signs)
Arithmetic test (with signs)
Letters x Numbers (for fun)
To download:
Abaku helps / Brahmagupta numbers / Phi / Fun numbers / Fun numbers CB / Inet numbers / Jan Amos / One / One divided / Growing / Whale / Zero
Abaku Logo
Useful links
Programming with Abaku
"Programming and Mathematics" is a series of comic textbooks presenting an original method of teaching
programming, which is problem-wise and complexity-wise linked to teaching mathematics from the second
grade of primary school. One of the topics covered from a programmer's perspective is Abaku. The
textbook is suitable for readers of all age groups and is available in Czech and English.
Get the full version here: https://prog-mat.cz
Logic games
logiclike.com - tasks for younger children and adults
technoplneta.cz - various ciphers available to everyone
brloh.math.muni.cz - Brno logic game
www.mancalagames.org - mancala games - where you also count!
www.mankala.cz/MEMO - pexeso-style games
my-chess.com - chess lessons for beginners and advanced
eshop.mathesso.cz - mathematical game on the pexeso principle for beginners and advanced
hectoc.org - great game 123456: 100 = 1 + (2 + 3 + 4) × (5 + 6)
Practice
matika.in - math tasks
zlatka.in - financial literacy tasks
trainbra.in - practicing critical thinking
gbmlee.gitlab.io - add, subtract, divide, multiply quickly in succession and from memory
worldmentalcalculation.com - pages about mental arithmetic: visual theory and practice, competitions.
František Běloun - collection of math tasks for primary schools
World Mental Calculation - advanced math tasks (in English)