The Times Australia
The Times World News

.
The Times Real Estate

.

'Why would they change maths?' How your child's maths education might be very different from yours

  • Written by Benjamin Zunica, Lecturer in Secondary Maths Education, University of Sydney
'Why would they change maths?' How your child's maths education might be very different from yours

There is a scene[1] in the film Incredibles 2 where young Dash asks his dad Bob for help with his maths homework. Bob obliges and begins to scribble on a notepad. But Dash quickly points to his textbook and says, “that’s not the way you’re supposed to do it, Dad”.

Frustrated, Bob exclaims

I don’t know that way! Why would they change math? Math is math!

Many parents trying to help their children with maths may be asking the same sort of question.

Pythagoras’ Theorem[2] is as accurate today as it was when it was discovered millennia ago, and it will continue to remain so. But teachers today also teach maths very differently from when parents were at school.

Mental connections not procedures

The teaching and learning of maths has undergone a transformation in past 30 years.

In the past there has been a focus on teaching students procedures[3], such as times tables and how to work out the circumference of a circle or solve an equation.

We now appreciate the importance of forming mental connections between concepts[4]. For example, when students understand the connection between similar triangles and trigonometry they understand the definition of trigonometric ratios[5] at a much deeper level.

This is because we know today’s learners[6] need to be able to transfer their mathematical understanding to complex, unfamiliar situations.

This means they need to be able to do more than apply a formula and get an answer right. They need to be able to solve problems[7] as they arise.

‘Math is math!’ From the Incredibles 2.

Problem solving and reasoning

Today, the shift in mathematics education is reflected in key mathematical proficiencies[8] in the Australian school curriculum. These include:

  • understanding mathematical concepts and procedures

  • being fluent in applying mathematical concepts efficiently and accurately

  • drawing on mathematical skills and knowledge to solve challenging questions where solutions are not immediately obvious, and

  • developing skills in logical thought, and justifying the use of strategies and conclusions reached.

Read more: Will I ever need math? A mathematician explains how math is everywhere – from soap bubbles to Pixar movies[9]

Encouraging inventiveness

One practical way teachers are developing students’ mathematical proficiency is by encouraging students to be inventive in the way they solve mathematical problems.

They are deliberately showing students different and multiple ways to represent mathematics problems to give students the space to develop understanding. This also give them an opportunity to reason, model and engage in mathematical thinking.

For example, your child might bring home problems to solve using the area model[10] for multiplication, which looks quite different to a traditional method. For example, we teach how 8x27 can be modelled in parts – 8x20 and 8x7.

When adding numbers, we teach students to deeply understand the place value of each number. Doing so makes our calculations efficient and supports the development of mental strategies for computation.

For example, to add 27 and 5, we can consider that 27 is made of 20 and 7. Now 7 and 5 can be easily added to get to 12, and the final 20 can be added to obtain an answer of 32.

The world is changing

Maths teaching has also shifted to keep pace with the development of computer technology. This is influencing maths instruction from early childhood, right through to Year 12.

Apart from anything, we know proficiency in information and communications technology[11] is key to educating students for the world they will live and work in.

As an example, the use of dynamic geometry software means teachers can quickly show transformations of graphs[12], giving students a deeper understanding of how variables work, allowing students to apply these concepts to a wide range of graphs.

Animation is also helping in maths classrooms. The video below shows how the formula for solids of revolution – which are formed by taking an enclosed area and rotating that area about an axis to form a solid – is derived more clearly than could be done using pens and a whiteboard.

A video explains how to use calculus to find the volume of solids of revolution. Casey Machen.

How can parents help?

For parents, resist the temptation to react like Bob and get angry about how maths has changed. Instead expect the way children are taught today will be different to how you were taught and that is completely OK.

Knowing this, ask questions of your child, such as can you tell me about the thinking behind this method? Or, how do you know that gets the correct answer?

This will allow your child to show their understanding, reasoning, and communication skills. It will also help you find areas that need addressing, which you can investigate together. Who knows, you might learn some new maths and enhance your own skills!

Read more: 'Maths anxiety' is a real thing. Here are 3 ways to help your child cope[13]

References

  1. ^ scene (www.youtube.com)
  2. ^ Pythagoras’ Theorem (www.britannica.com)
  3. ^ procedures (gargicollege.in)
  4. ^ connections between concepts (dergipark.org.tr)
  5. ^ trigonometric ratios (www.cuemath.com)
  6. ^ today’s learners (journals.sagepub.com)
  7. ^ solve problems (www.monash.edu)
  8. ^ key mathematical proficiencies (v9.australiancurriculum.edu.au)
  9. ^ Will I ever need math? A mathematician explains how math is everywhere – from soap bubbles to Pixar movies (theconversation.com)
  10. ^ area model (calculate.org.au)
  11. ^ information and communications technology (www.sciencedirect.com)
  12. ^ transformations of graphs (teacher.desmos.com)
  13. ^ 'Maths anxiety' is a real thing. Here are 3 ways to help your child cope (theconversation.com)

Read more https://theconversation.com/why-would-they-change-maths-how-your-childs-maths-education-might-be-very-different-from-yours-207030

The Times Features

Itinerary to Maximize Your Two-Week Adventure in Vietnam and Cambodia

Two weeks may not seem like much, but it’s just the right time for travelers to explore the best of Vietnam and Cambodia. From the bustling streets of Hanoi to the magnificent te...

How to Protect Your Garden Trees from Wind Damage in Australia

In Australia's expansive landscape, garden trees hold noteworthy significance. They not only enhance the aesthetic appeal of our homes but also play an integral role in the local...

Brisbane Homeowners Warned: Non-Compliant Flexible Hoses Pose High Flood Risk

As a homeowner in Brisbane, when you think of the potential for flood damage to your home, you probably think of weather events. But you should know that there may be a tickin...

Argan Oil-Infused Moroccanoil Shampoo: Nourish and Revitalize Your Hair

Are you ready to transform your hair from dull and lifeless to vibrant and full of life? Look no further than the luxurious embrace of Argan Oil-Infused Moroccanoil Shampoo! In a...

Building A Strong Foundation For Any Structure

Building a home or commercial building can be very exciting. The possibilities are endless and the future is interesting. You can always change aspects of the building to meet the ...

The Role of a Family Dentist: Why Every Household Needs One

source A family dentist isn’t like your regular dentist who may specialise in a particular age group and whom you visit only when something goes wrong. A family dentist takes proa...

Times Magazine

"Eternal Nurture" by Cara Barilla: A Timeless Collection of Wisdom and Healing

Renowned Sydney-born author and educator Cara Barilla has released her latest book, Eternal Nurture, a profound collection of inspirational quotes designed to support mindfulness, emotional healing, and personal growth. With a deep commitment to ...

How AI-Driven SEO Enhancements Can Improve Headless CMS Content Visibility

Whereas SEO (search engine optimization) is critical in the digital landscape for making connections to content, much of it is still done manually keyword research, metatags, final tweaks at publication requiring a human element that takes extensiv...

Crypto Expert John Fenga Reveals How Blockchain is Revolutionising Charity

One of the most persistent challenges in the charity sector is trust. Donors often wonder whether their contributions are being used effectively or if overhead costs consume a significant portion. Traditional fundraising methods can be opaque, with...

Navigating Parenting Arrangements in Australia: A Legal Guide for Parents

Understanding Parenting Arrangements in Australia. Child custody disputes are often one of the most emotionally charged aspects of separation or divorce. Parents naturally want what is best for their children, but the legal process of determining ...

Blocky Adventures: A Minecraft Movie Celebration for Your Wrist

The Minecraft movie is almost here—and it’s time to get excited! With the film set to hit theaters on April 4, 2025, fans have a brand-new reason to celebrate. To honor the upcoming blockbuster, watchfaces.co has released a special Minecraft-inspir...

The Ultimate Guide to Apple Watch Faces & Trending Wallpapers

In today’s digital world, personalization is everything. Your smartwatch isn’t just a timepiece—it’s an extension of your style. Thanks to innovative third-party developers, customizing your Apple Watch has reached new heights with stunning designs...

LayBy Shopping