Maths in the early years is a lot of playing with numbers to discover what they do - turn them this way and that, add 10, take 5, make it as big as you can, what happens if...
Essentially it's about patterns. Recognising number patterns is an important problem-solving skill. We want our children to see a pattern when they look at examples because they can then use that pattern to generalise and predict in another circumstance. Transferring the play to mathematical understanding is the goal.
Parents often ask how they can help their children with mathematical understanding. This is often prefaced with something along the lines of 'I couldn't do maths...' But everyone can play with patterns. They can be fun and creative and lead to every child finding mathematics accessible and enjoyable.
Here are some examples our Year 2s and Year 3s are playing with at the moment.
Fluency, understanding, reasoning and problem solving with patterns like this is expected by mid Term 2 for all Year 3 students.
Showing posts with label problem solving. Show all posts
Showing posts with label problem solving. Show all posts
14 February 2019
08 February 2019
Think 5
The best gift we can give a child is the ability to be resilient and the confidence and skills to solve and resolve conflict. Our Take 5 program has been a common feature of our school for many years and children use it with ease. It gives them the tools to feel they have something to do and the confidence that there's back up if it all falls apart. Sometimes when we have a problem we just want an action we can take and someone to tell for support.
There's more to it than that. All action is preceded by thinking. Good quality thinking leads to good quality actions - ones that are most likely to succeed, that is, result in improved relationships.
The Think 5 hand aims to make good quality thinking automatic. It's our first 'go to place' - think the problem through and then take the action you most feel comfortable with - the one that's going to help solve the problem. Children need so much practice doing this. They need to hear it modelled, see it working, say the words aloud to themselves, practice it in a safe place (e.g. role play in a classroom), and then try it themselves out in the playground, knowing there are plenty of adults there on hand to assist.
The Take 5 and Think 5 hands are everywhere in our school - and even the adults find them useful.


There's more to it than that. All action is preceded by thinking. Good quality thinking leads to good quality actions - ones that are most likely to succeed, that is, result in improved relationships.
The Think 5 hand aims to make good quality thinking automatic. It's our first 'go to place' - think the problem through and then take the action you most feel comfortable with - the one that's going to help solve the problem. Children need so much practice doing this. They need to hear it modelled, see it working, say the words aloud to themselves, practice it in a safe place (e.g. role play in a classroom), and then try it themselves out in the playground, knowing there are plenty of adults there on hand to assist.
The Take 5 and Think 5 hands are everywhere in our school - and even the adults find them useful.


28 August 2015
What really matters...
All Principals of Independent Public Schools were called into Central Office this week and while everyone was enjoying the Book Week Assembly I listened to a lot of things about School Reviews and inputs and outputs and NAPLAN and outcomes and a bit more about reviews... Hmmm.... Not the most riveting of material.
It got me thinking about what matters, and about what really matters. And it's kids that matter, and it's what they are learning that really matters.
Last week one of our teachers told me that while on duty he had observed Bradley in tears on the ball courts. He saw that Jenny and Suzy had just spoken to him so he asked them what had happened before he then spoke with Bradley himself. Jenny told him that Bradley had been left out of the boy's soccer game because they had even teams already and didn’t want uneven teams. (This seemed a bit mean but to be fair to the boys, Bradley was playing a different game before wanting to join their game). Before the teacher could even say anything in an attempt to resolve the situation – Suzy pipes up and says, 'Maybe I should offer to play too; that way there’d be even teams?' So, off the girls went, called Bradley over, joined the game and everyone was happy.
This is what really matters. We are teaching kids to solve problems peacefully, to walk in the shoes of others, to be inclusive. And every day we see they are getting it.
This kind of learning leaves inputs, outputs and reviews for dead!
(I've changed the names but I bet these lovely kids could identify themselves if they read this.)
It got me thinking about what matters, and about what really matters. And it's kids that matter, and it's what they are learning that really matters.
Last week one of our teachers told me that while on duty he had observed Bradley in tears on the ball courts. He saw that Jenny and Suzy had just spoken to him so he asked them what had happened before he then spoke with Bradley himself. Jenny told him that Bradley had been left out of the boy's soccer game because they had even teams already and didn’t want uneven teams. (This seemed a bit mean but to be fair to the boys, Bradley was playing a different game before wanting to join their game). Before the teacher could even say anything in an attempt to resolve the situation – Suzy pipes up and says, 'Maybe I should offer to play too; that way there’d be even teams?' So, off the girls went, called Bradley over, joined the game and everyone was happy.
This is what really matters. We are teaching kids to solve problems peacefully, to walk in the shoes of others, to be inclusive. And every day we see they are getting it.
This kind of learning leaves inputs, outputs and reviews for dead!
(I've changed the names but I bet these lovely kids could identify themselves if they read this.)
01 December 2012
Learning to struggle
There's a growing body of writing focusing on the importance of finding learning difficult in the overall development of children. And there is a plethora of examples comparing the difference between Eastern and Western classrooms and parenting.
A post by Alix Spiegel discusses the differences eloquently.
Over the years I've been an educator I've seen an interesting phenomena develop. We (parents and teachers) don't like to see our children find things hard. We don't like them to have to struggle for too long. We don't like them becoming distressed if they can't do something, and over time we have rescued and rescued and now we have many many children who simply don't make the link between hard work, struggling with a problem, perseverance and achievement. The net result is that children give up too quickly, and perhaps, are not learning to live with a feeling of 'uncomfortableness' for any amount of time.
I recently witnessed my own daughter struggling with studying for an end of year exam in anatomy. The procrastination, the complaints about the teacher, the whining about not being smart enough and 'everyone else is so clever; I'm not' and the claims that 'we haven't even been taught this' were extraordinarily creative. It really took me by surprise. And it took her more by surprise when I said, 'Yes, anatomy is hard, and no, it's not good enough to be able to give a detailed description of the digestive system when the exam requires one about the eye! Clearly you haven't studied enough and you're going to have to work at it harder now'. And I couldn't resist adding 'I hope you've learned your lesson'. (I probably could have done without that last comment!)
I often hear teachers comment that the children in their classes that find learning more difficult (eg. have to try harder to get the same result another has achieved effortlessly) are the ones who seem to be able to work away at a problem and who have developed a tolerance to having to struggle a bit - as opposed to the ones who have been rescued, and have learned they can just give up.
The problems of our future require people who can struggle away at something very hard and not find that uncomfortable feeling so distressing they don't want to continue. As parents we need to let our children struggle and encourage them to view the struggle positively. We need to let them find things hard and not rush in to rescue them, worrying that their 'distress' is going to cause some unimaginable harm. In the end the harm it may cause is a generation of children not willing to persist and not willing to struggle to achieve something great.
A post by Alix Spiegel discusses the differences eloquently.
Over the years I've been an educator I've seen an interesting phenomena develop. We (parents and teachers) don't like to see our children find things hard. We don't like them to have to struggle for too long. We don't like them becoming distressed if they can't do something, and over time we have rescued and rescued and now we have many many children who simply don't make the link between hard work, struggling with a problem, perseverance and achievement. The net result is that children give up too quickly, and perhaps, are not learning to live with a feeling of 'uncomfortableness' for any amount of time.
I recently witnessed my own daughter struggling with studying for an end of year exam in anatomy. The procrastination, the complaints about the teacher, the whining about not being smart enough and 'everyone else is so clever; I'm not' and the claims that 'we haven't even been taught this' were extraordinarily creative. It really took me by surprise. And it took her more by surprise when I said, 'Yes, anatomy is hard, and no, it's not good enough to be able to give a detailed description of the digestive system when the exam requires one about the eye! Clearly you haven't studied enough and you're going to have to work at it harder now'. And I couldn't resist adding 'I hope you've learned your lesson'. (I probably could have done without that last comment!)
I often hear teachers comment that the children in their classes that find learning more difficult (eg. have to try harder to get the same result another has achieved effortlessly) are the ones who seem to be able to work away at a problem and who have developed a tolerance to having to struggle a bit - as opposed to the ones who have been rescued, and have learned they can just give up.
The problems of our future require people who can struggle away at something very hard and not find that uncomfortable feeling so distressing they don't want to continue. As parents we need to let our children struggle and encourage them to view the struggle positively. We need to let them find things hard and not rush in to rescue them, worrying that their 'distress' is going to cause some unimaginable harm. In the end the harm it may cause is a generation of children not willing to persist and not willing to struggle to achieve something great.
27 October 2012
Check, check and check again
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| Wearing red at Peregian Springs State School |
When you think your child has disappeared it is a gut wrenching, heart stopping, sickening feeling of total panic and loss of all rational reasoning. Shortly after Daniel disappeared my daughter (ten at the time) was supposed to be catching the bus from school just 3km into Noosa Junction to where my husband works - simple, just get on the bus outside the school, there's a teacher on duty, sit next to someone you know, get off the bus at the stop outside Dad's office - what could go wrong?
At 4.00pm Rick rings me (I was in Brisbane) and then came the news - 'have you got Maddie? She hasn't come here. I've been looking for her all over the Junction. I've rung the school. I've rung the bus company. We don't know where she is.' It was like a heart attack. I was at least a two hour drive away and Rick was in a mad panic.
After half an hour of madness, phone calls, checking with friends, checking with Maddie's friends, and rechecking all over again while trying not to scream at everyone who said 'no, we haven't seen her', we finally located her at the bus depot in Tewantin.
What the bus company hadn't told us was that the school bus went to the high school where she was supposed to get off and get on a different bus that went to the Junction. As the bus she was on sailed past the end of the Sunshine Beach Road she told the driver she needed to get off. 'No, we don't stop here - you'll have to stay on', she was told. Well, at least it was a happy ending. There is a bit more to this story that I'll tell another time but the point I'm trying to make is that as parents we need to check and check and check AND we also need to make sure our children are building the skills of resilience, self-reliance and problem solving.
Hovering, tethering and warning frightens them - as a parent said to me this week 'Gwen, they think there's a paedophile on every corner'. Of course, there isn't but our kids need to be able to recognise the signs that tell them something is a 'bit off' and then have some behaviours they have practised to remove themselves from the situation. Our student protection lessons at school are about this very thing and on Assembly on Friday 3L demonstrated this brilliantly with their three little skits.
So Day for Daniel is over again for another year, our awareness is heightened and our safety skills are honed...and at 4.10pm as we were all packing up at the end of a week in comes a Dad 'My daughter didn't get of the bus. We don't know where she is'.
Thankfully, another happy ending - she had missed her stop and had to stay on!
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