How talking about maths suddenly became easier – The Toast Model from a parent’s perspective

I am reposting this article written by a volunteer for the charity Maths on Toast as I think it is really very helpful for parents to see how they can very easily support their children ! Have fun!

How talking about maths suddenly became easier – The Toast Model from a parent’s perspective

6 March 2019

A parent who regularly attends our events has been trying out the Toast Model at home. Read on to hear first-hand the impact it is having on their learning…

My daughter was at the table, pen in hand, trying to figure out a maths activity. It was supposed to be fun – learning fun. But tension was rising. It wasn’t plain sailing, or maybe she wasn’t in the mood. She might burst out or give up at any moment, and I just don’t want these small incidents to accumulate, as they undermine confidence.

This has happened before, and I know we are not the only ones! It happens with friends too, for all sorts of reasons. Pushy parents forging ambitions before the child is ready… Parents bemused by the school’s new ways of teaching…

I used to find it difficult to defuse the situation quickly enough. But no need this time. My daughter just turned around and incredibly calmly said: ‘Mama, where is that circle chart again?’ I held my breath, took a sheet out from a pile of papers: ‘Do you mean this one, with the blue and green and red colours, The Growth Zone Model?’ ‘Yes that one! See, Mama, this problem is here, in the red zone. I need something a bit easier first.’.

That was it. No tears, no sinking heart, no walking away. And on my side, no ‘Oh dear, what have I done again?’.

Since then ‘our’ diagram is still on the fridge. My daughter coloured the challenge zone in blue, her favourite colour, on the grounds that ‘that’s where we want to be when we learn’. She also renamed the ‘threat zone’ to the ‘red zone’ because after all, it is just uncharted territory that will some day be conquered. I really liked how she changed her outlook that way. Maybe one day a mighty obstacle will remind us that the model dealt with a threat feeling, but for now we prefer not to.

And of course, the red zone is infinite, we will enjoy a whole life of learning, hopefully!

We found the Toast Model to be a simple but beautiful concept:

  • It’s a great addition to illustrate how we all need to go through challenges. My daughter loves to show with large hand gestures how much her comfort zone has expanded since she was born, absorbing this and that, from swimming to maths problems!
  • It’s proved a powerful tool to help recognise and say when things are too hard, safe in the knowledge that it’s a natural part of life. So that we can re-adjust, take a few extra steps on the way, and preserve the eagerness to learn and confidence of everyone involved.

Read more about the Toast Model.

The Toast Model

Can getting better at maths be about feelings, not facts?

Introducing the Toast Model for growing your maths brain

Here at Maths on Toast we want everyone to love doing maths. But we often get asked what to do when you (parent or child!) get stuck with some maths. Actually, most mathematicians are stuck most of the time – it’s how you feel about being stuck that can make all the difference.

As long as you’re not feeling panicked about it, being stuck is good for your brain. One way to think about that is the Toast Zone model.

You can find out more about how to work with children in the different Zones, and about the research behind the model, below.

Toasty tips for supporting your children and their feelings in each Zone:

 Jam Zone
Activities where children feel confident and are successful but not challenged.

  • Be proud of success – has your child always been able to do this kind of maths?
  • Identify the value in the maths itself and in the learning skills that got them here. But if it’s not challenging for your child, try something harder!

Toast Zone
Where new learning happens. Learners need to take risks so they may make mistakes. Hopefully with the right resources and support they will feel confident enough to be able to persevere, acquire new skills and gain even more confidence.

Remember that support isn’t about providing, or even checking, the answer. It is about helping your child to find it for themselves, Your role is that of coach or supporter. If you don’t understand or remember the actual maths yourself, that needn’t matter.
Show positive attitudes towards maths. Even if you are finding the question challenging yourself, the feelings you show your child can support them to tackle the problem.

  • A ‘can do’ approach – everyone is capable of increasing their mathematical ability!
  • Empathy if it’s hard; that’s part of the learning. Praise resilience.
  • Support for mistakes – they are there to learn from.

Try some of these prompts if your child seems stuck. Even when you are feeling unsure of the maths involved in the question, helping your child think about it differently could well be enough to help ‘unstick’ them:

  • Have you encountered this type of problem before?
  • What parts of the problem do you understand?
  • Can you explain the problem to me?
  • What have you tried already?
  • What has helped you get unstuck in the past?
  • How else could you represent the problem?
  • Would it help to act out the problem?
  • Would a picture or a diagram help solve the problem?
  • Can you reword the problem and explain it in a different way?
  • Would any specific resources help you, such as counters, cubes, a number line etc?

What about when you’re not there? Encourage children to work with a friend, in a group or ask for one-to-one help when they need it.

Off the edge
When we’re challenged beyond our current level of resilience we may find ourselves Off the edge. If your child is feeling helpless or upset, effective learning cannot take place.

  • Help children recognise when they are feeling anxious. They will need to de-stress before the can return to the Toast Zone.
  • Some de-stressing techniques might be:
    • Writing down, drawing or talking about, how they feel.
    • Using breathing techniques. (For example, closing eyes, breathing out for 7 seconds and in for 5.)
    • Reminding them what they can do by doing another activity in their comfort zone.

The research that inspired the Toast Zone Model

The Toast Model is inspired by Sue Johnston-Wilder’s Growth Zone Model (Johnston-Wilder et al, 2015) – which is a framework for understanding different learning experiences and the feelings associated with each. The Growth Zone Model also has strong links to Growth Mindset (Carol Dweck 2012). Many schools will be aware, of or have implemented aspects of, growth mindset, so you might find that children are familiar with the ideas, language and strategies, which is great! Indeed, some schools will be actively involving parents too. However for many parents this will be a completely new concept – so here are some key points to note…

To develop Mathematical Resilience you need to:

  1. Believe that brain capacity can be ‘grown’
  2. Understand ‘the point’ of mathematics – how it is everywhere in our everyday.
  3. Understand how to work at mathematics – even when you are stuck!
  4. Know you have support from; resources, school, family

References:
– Johnston-Wilder, S. Lee, C., Brindley, J., & Garton, E. Developing Mathematical Resilience in school-students who have experienced repeated failure (2015)
– Mindset: How You Can Fulfil Your Potential, Professor Carol Dweck (2012)
Useful links to find out more…
Ted Talk by Carol Dweck ‘The power of believing you can improve’ 
Mathematical Resilience Network

Jigsaws are fun … and a great way to help your child with maths!

I was at a maths network meeting and I suddenly thought – Yes, doing jigsaws really are a great way that parents can easily help their children with maths!

We were discussing the importance of what is known as spatial reasoning, and doing jigsaws is a great way to develop spatial reasoning.

If you think about it, when you are doing a jigsaw, you are trying to fit and interlock pieces together to make a picture.

You look at the shape and colour of each piece and try and decide what neighbouring shapes look like. You then look to see if you can find suitable pieces that might fit. You inspect the pieces … maybe if it was turned around it would fit? If it still does not fit, we try another. And so on until the picture and the jigsaw is complete.

This whole activity is actually very mathematical. We are using spatial reasoning to do the jigsaw, and it is a very important mathematical and practical skill.

So, enjoy doing jigsaws with your child. They are fun … and a great way to help your child with maths!

The Early Childhood Maths Group have designed some wonderful posters explaining this more. Do take a look!

Have fun!

 

Looking forward to the Autumn – following an exciting Summer!

Adrian Russell, illustrator of the book, with me enjoying a cup of tea from our lovely Brazilian mugs showing the cover of the Portuguese translation of my book. The mugs were gifts from Professor João.

It really has been an exciting Summer for me! I am looking forward to the Autumn.

In August the Portuguese translation of my book, Ajude seu Filho com a Matemática mesmo que você não saiba (the English version is, Help Your Child Do Maths Even If You Don’t) was launched in Brazil.

Here is the link to the recording of the event. A huge thank you to Professor João dos Santos Carmo, from The Federal University of São Carlos,  Associate Professor Sue Johnston-Wilder from The University of Warwick, and all who helped organise and support the Launch Live of the Portuguese translation of my book on 8 Aug. It was a great time.

My hope is that many parents and children in Brazil and globally will be helped by the book. Here is the link to the book in Portuguese and English.

Before the launch in Brazil, in July, I was delighted to lead a workshop on Working With Parents, at 1st International Workshop Supporting Developing Mathematical Resilience Globally, held at The University of Warwick, 1-5 July 2024. The workshop was funded by the ICMS.

There are some very simple things that any parent can do to help give their child a ‘can do’ attitude to mathematics. This is what I shared at the workshop, and I share in my books, too. The encouraging thing is that parents do not need to be mathematics specialists to do this.

The whole workshop event was great. It felt like I was in a supportive bubble, full of positivity and possibility as the International delegates shared ideas and hopes for future projects.

I am looking forward to the Autumn.

I wish all teachers, parents and students well for the forthcoming school year.

Where’s my seat? Ah! There’s my seat …! The wonder of Spatial Reasoning

I recently heard this story from a grandmother who had bought some tickets to take her cricket-loving grandsons to see a T20 cricket match.

There was great excitement!

‘Can I show you the cricket ground on Google Maps?’ one of them asked her. She was more than happy to go along with this suggestion. After all, her grandson’s technical skills were much better than hers!

She was so impressed as he used Google Maps to find the cricket ground. Then, looking at the venue’s website together, they looked at the seating plan and found out where they would be seated; then, back on Google Maps, found out where they are going to sit and what the view is like.

This activity is actually very mathematical. It is using what is known as Spatial Reasoning and this is a very important mathematical and practical skill.

For example, you use this skill to find your seat at a wedding reception once you have seen the seating plan.

We can easily help a child to develop this as we use this skill quite a lot in our everyday life.

From a very early age, helping your child to grasp the concepts of what ‘under’ means, or ‘on top of’, or ‘over’, or ‘beside’ … is so important.

The Early Childhood Maths Group have designed some wonderful posters explaining this more. Do take a look!

Spatial reasoning toolkit posters – ECMG (earlymaths.org)

Enjoy your Easter Holidays!

Bilingual Welsh/English version of ‘Help Your Child Do Maths Even If You Don’t’ now available.

In 2014 the Welsh Government ran an advertising campaign encouraging parents to be positive and not speak negatively about maths in front of their children.

They recognised the importance of this very simple thing that parents can do to help our children have a positive, can-do attitude to maths, and that is:

Pass on a positive attitude to maths

In fact, the psychologist Tanya Brown said:

‘Perhaps the single most important thing that parents can do to help their children with maths is to pass on a positive attitude.’

This is one of the simple things I discuss in my book, Help Your Child Do Maths Even If You Don’t.

I am so delighted to say that the bilingual Welsh/English version of my latest book has been published and is now available. Please see that link.

 

Help is at hand

My Help Your Child With Numeracy books are proving very popular with parents during lockdown I hear as they are helping to explain methods used to teach maths in schools. Do take aa look at them. They are available on Amazon. Just follow the link.

Happy New Year

This Blog has been a long time coming!
My last Blog post was in December 2019 and the world has really changed since then.
I have been busy in the meantime. I reworked the book I was working on at the time and am pleased to say the result, Help Your Child Do Maths Even If You Don’t, was published in September 2020, by AR & RR Education.
It has received really good reviews, and National Numeracy recommend it too.
I am pleased to say I shall be giving my first Zoom author talk this year on 18th February 2021. More details to follow.
In the meantime I wish you all a very Happy and Healthy 2021.

Maths Without The Maths

I am so excited about my forthcoming book, Maths Without The Maths.

The book explains how anyone can help their child even if they hated maths at school and think they are ‘rubbish’ at it.

I shall be sharing tips from the book about how you can help give your child a ‘can do’ attitude to maths at my author talk on Wednesday 5th February 2020, 10.30 am,  at the Winchester Discovery Centre.

Please save the date and come along. Book your tickets here:

 

Yes, singing nursery rhymes is a fun way to help!

I was so delighted to see many parents with babies and toddlers at my Maths Week London 2019 Maths for Parents event at The Greenwich Centre Library on 11th June 2019.

I was reminded that singing nursery rhymes is an easy, fun way for parents to help their children with maths.

You can check out some really good nursery rhymes – words and music too – on National Numeracy’s Family Maths Toolkit:

https://www.familymathstoolkit.org.uk/5-years-old-and-under/songs-and-books

Do see my Family Maths Toolkit Blog about this too:

https://www.familymathstoolkit.org.uk/nobody-told-me-that-before

Have fun!

Maths Week London 10-14 June 2019

I am so excited about being involved with Maths Week London, which is taking place from 10 – 14 June 2019.

Maths is such a cool subject and having a ‘can do’ attitude is a key attitude to encourage.

The success of Maths Week Ireland and Maths Week Scotland was so encouraging – over 80,000 pupils took part in Maths Week Scotland this year – that Sumdog, the organisers, want to share that success by bringing Maths Week to London.

I shall be sharing how parents and carers, without any specialist maths knowledge, can very simply encourage a ‘can do’ attitude in their children. Do come along!

I will keep you posted with further details of my event!

Please follow the link to find out more about Maths Week London:

https://www.mathsweeklondon.org/

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