Trachtenberg System or how to learn how to calculate – Education

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What is the Trachtenberg System?

The Trachtenberg System of quick mental calculation is a unique approach of doing mathematics calculations fast, often faster than using a calculator. Developed by Jakow Trachtenberg, the system is built on clever, simplified methods of arithmetic. With focus on multiplication and division it allows anyone, even those who consider themselves bad at math, to perform complex calculations in their head or on paper with surprising ease.

At its core, the system replaces the traditional memorization and heavy way of learning math with a set of patterns, shortcuts, and tricks that are both logical and easy to understand. The method does not require memorizing multiplication tables beyond the basics and instead focuses on sequences and rules that are applied step-by-step.

Let’s take an example. Normally, multiplying a number like 67 by 11 might take a moment and maybe even pen and paper. In the Trachtenberg method, there is a rule for multiplying by 11 that turns it into a quick mental task. How? You simply add each digit to its neighbo! The system has similar strategies for multiplying by other numbers like 12, 6, or even 7, all with unique patterns that do not need traditional multiplication.

Originally, the system was created during Jakow Trachtenberg’s time in a Nazi concentration camp, where he used it to keep his mind active. What truly stands out is how his method has continued to help generations of learners improve their math skills and mental speed.

The Trachtenberg System is not just about math. It is about thinking differently, using the brain in ways that improve memory, logic, and pattern recognition. It is designed for everyone, from children struggling with multiplication to adults wanting to sharpen their math skills.

Why learn the Trachtenberg System?

So, why should anyone today learn a system like this, especially in an age where we carry calculators in our pockets?

Here is the thing. Even with all the tech around us, mental math still matters. Whether it is checking a receipt, estimating a tip, or solving problems on the fly without pulling out a phone, fast thinking gives you an advantage. And beyond practicality, training your brain with methods like the Trachtenberg System builds stronger cognitive skills that extend into areas like memory, logic, and focus.

It strengthens your brain 💪

Practicing the Trachtenberg techniques encourages a more active mental state. It pushes your brain to recognize and apply patterns instead of relying on repetition. It is the difference between understanding why something works, versus just memorizing that it does.

It boosts confidence 👔

Many people grow up thinking they are “not good at math.” That mindset often starts early and sticks. But this system flips that script. Because the techniques are straightforward and produce quick, impressive results, it gives you a sense of achievement and encourages you to keep going.

It reduces dependency on machines 😎

While calculators are useful, constant reliance on them can dull basic arithmetic skills. Trachtenberg’s method brings back self-reliance in math, allowing people to feel more in control and less dependent on tech for everyday calculations.

It makes math fun!

Yes - fun. When math becomes a game of patterns, tricks, and logical steps, it no longer feels like a horror. Kids especially enjoy mastering these methods because they get to “beat the system,” doing things their friends can not without a calculator.

It works for all levels 😸

Whether you are just starting out or looking to challenge your brain, the Trachtenberg System can be tailored to your skill. It is not about speed at first, it is about learning the rules and practicing them until speed comes naturally.

Learning the Trachtenberg System is more than just a math trick. It is a tool to keep your brain sharp, a way to reconnect with numbers in a meaningful and engaging way, and a path to personal growth that does not require any expensive software or gadgets.

How to start learning it?

Getting started with the Trachtenberg System is surprisingly simple. You do not need a math degree, teacher or any special background, just curiosity and a bit of practice.

Here is a basic roadmap to dive in:

1. Start with the core rules. The system is broken down into specific methods for multiplication, division, addition, and subtraction. Begin with multiplication by 11, one of the easiest and most satisfying rules. Once you get that, you can move on to others like multiplication by 12, 6, and 7.

2. Use the resources. There are books, PDFs, YouTube tutorials, and even some mobile apps dedicated to the Trachtenberg System. One of the best places to start is the book “The Trachtenberg Speed System of Basic Mathematics,” which shows the original techniques with clear explanations.

3. Practice with small numbers at first. The key in building speed is not jumping into huge numbers right away. Practice with two digit and three digit numbers until the methods become natural.

4. Make it part of your daily routine. You do not need hours a day. Just spending 10-15 minutes practicing mental math using Trachtenberg techniques can make a huge difference over time. Try doing it while stuck in a traffic jam, in a public transport, waiting in line, or even during a coffee break.

5. Track your progress. Set small goals, like solving a certain number of problems per day.

6. Teach someone else. One of the best ways to consolidate what you have learned is to explain it to another person. Whether it is a friend, sibling, or even your child, teaching helps you remember and refine the methods.

If you are looking for some resources to explore:

• Book 📚 -> The Trachtenberg Speed System of Basic Mathematics by Jakow Trachtenberg

• Video tutorials 🎥 -> YouTube has several educators explaining these methods with examples. Search “Trachtenberg math system” or “fast multiplication techniques.”

• Practice apps 📱 -> Apps like Mental Math Master available on 🍏 "apple"

  and 🤖 "android" or Trachtenberg Speed Math on 🍏 "apple" can help you with on-the-go exercises.

Do not forget to have fun with it. The more you enjoy the process, the easier and more natural it becomes. Let the numbers come alive, and let your brain do what it was built for thinking fast and smart!

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