In a world where most people walk around with a mobile phone in their pocket at all times, it is often suggested that we no longer need mental maths skills. Many people assume that the ability to add, subtract, multiply and divide numbers quickly in our head is useless in a day and age when a phone, calculator or computer can do it better. So why do we still teach students mental arithmetic? And, more importantly, is this still a skill worth teaching?
To put it simply, yes! While calculators are a wonderful invention, there are many benefits of having good mental maths skills. So here are the 3 most important reasons for your child to improve their mental maths skills.
1. Mental maths provides a deeper understanding of calculation
Imagine you wanted to order 4 sandwiches each for 14 people. You grab your calculator and type in 4 x 14. However, as you are typing, your finger slips and you accidentally type 4 x 144. The calculator gives you the answer 576. If you have good mental maths skills, you would probably notice something a bit odd. Based on your own understanding of how multiplication works, you would reason that 576 was far too many sandwiches. As such, you could type the equation in to your calculator again and get the correct answer, which is 56. However, if you ignore mental maths and always trust the calculator, your little slip of the finger can be disastrous! Imagine accidentally buying 576 sandwiches when you only needed 56! This point is especially relevant for VCE students who, if they rely too heavily on their calculators during their exams, can lose valuable marks.
At Spectrum Tuition, we teach mental arithmetic from a young age to keep our students’ minds sharp and to develop their sense of how numbers work. General arithmetic is the basis of most other topics in maths so having a strong intuitive understanding of the structure of how numbers work together ensures that our students are more successful with maths in the future. Additionally, the recent focus on mental strategies in the curriculum means that many schools are opting to move away from teaching the traditional addition and subtraction algorithm until students have grasped front end addition and subtraction strategies so it is important for students to learn these strategies to succeed at school.
Watch the following video of how a Spectrum Tuition student (and my daughter) demonstrates a mental maths technique that we teach in our classes:
2. Mental maths is vital in exams without calculators
Like it or not, our current school system requires students to complete a majority of their exams without calculators. While we adults can always pull out our phones to check our working out, students are required to rely on their own abilities to add, subtract, multiply and divide numbers. And while all students are taught techniques to work out sums on paper, the ability to quickly do sums in their heads can help students save valuable seconds and even minutes in an exam situation. What’s more, during multiple choice exams, mental maths can provide a quick way of narrowing down which answers might be correct, and which are definitely wrong, making it much easier to choose the correct answer.
When preparing our students for Selective School and Scholarship exams, it is vital that we give them techniques to answer questions as quickly and as accurately as possible. The ability to quickly perform calculations in their head is one of the most valuable tools that students can have from primary all the way to VCE.
3. Mental maths is practical in real life
The ability to quickly calculate complicated sums is also a valuable life skill. Whether you’re trying to figure out how much your shopping cart is, how to split the bill at a dinner party or trying to work out how many boxes you will need to pack all of your groceries, or trying to figure out much money you have left over after making a purchase, mental maths will make your life easier.
By developing good mental maths skills from a young age, children are able to improve other skillsets and easily work out answers to mathematical scenarios in everyday life. It’s never too early or too late to start giving your child the foundational skills that they will need to succeed throughout their mathematics education.
3 mental maths addition strategies to apply today!
In the video above, Annabelle demonstrated the splitting strategy where she broke up the second number into tens and ones. Below are three further strategies to try out today.
a. Adding from left to right
25 + 36
Similar to the above strategy, this technique requires that you break both numbers into tens and ones
20 + 30 + 5 + 6
= 50 + 11
b. Compensation strategy
34 + 49
First, since 49 is so close to 50, we will add 1 to 49 which will make it easier to solve:
34 + 50
Then, since we added one extra to the original equation, we have to subtract one from the final answer
c. Using friendly numbers
Friendly numbers are numbers that are easy to work with. For example, multiples of 10 are “friendly” because they are easy to work with when we add or subtract.
We begin by getting to a friendly number, which is typically a multiple of 10, 100, or 100 – depending on the numbers that we are working with. Then we add on the remainder.
265 + 18
We can add 5 from the 18 to get to a friendly number 270.
We have 13 left, so now we can simply add the 13 to the 270 to get a final answer of 283.
Mental maths is not about following a one size fits all process. It involves having many “tools” available and being able to effectively choose and use a tool to solve an equation. The important thing to remember is that we don’t want to force our students into using a tool that doesn’t work for them. This is why it’s so important to introduce a variety of different strategies, teach them in isolation to allow mastery, and then allow students to begin choosing the tool that works best for them individually.
Going back to our original problem at the start of this email, now that we have a number of mental maths strategies, we can solve the problem as follows:
Most students are comfortable with their times tables up to 12, therefore, to solve 14 x 4, we might break up the sum as follows:
12 x 4 = 48
2 x 4 = 8
We then add the answers using the ‘friendly numbers’ strategy.
48 + 8 = 56
To learn more about how we can help your child develop their mental maths skills, please click on the link below to book your free assessment at one of our centres.
Click here to enrol online
If you would like your child to further develop their logical thinking skills, our Yellow Brick Code holiday program starting next week from 2nd – 4th July is a perfect way for them to be productive and to keep their mind sharp over the school holidays. Over three days, students will follow the adventures of the four code blocks as they find magic batteries, cosmic crystals or solve the mystery of the missing diamond while learning to code and build their own video games in just 3 days.
To find out more, please click on the link below.
Click here to enrol online
If you have any queries, please contact us on 1800 668 177 today.