Tag Archives: maths

Gifted??

One of the questions in my Mathematical Mindsets MOOC was about gifted children and our labelling of people as gifted.

Since the mid 00’s there has been a requirement to highlight ‘gifted and talented’ children in classes in the schools I have taught in England and Scotland, but on reflection, this flies in the face of a ‘growth mindset’ approach to education.

Here is how I answered the question What do you think the “gifted” label does to young children and their teachers?

If we start by thinking of a gift, we might think of something which is given to us without our needing to do anything to recieve it. i.e. You get your birthday gift, but we didn’t really contribute a lot to being born…

To a child who believes themselves to be gifted, this might mean that they feel they don’t have to work hard, as they have been given something extra which others don’t have. It might mean that when they come across something they can’t do they feel they ‘don’t have the gift’ in this so it’s not worth trying.

Children hearing others described as having a gift are likely to see that child’s work in a subject as unrelated to effort. Therefore there is no point in that child trying that little bit harder, as they are not gifted. However hard they try, they are not going to get to be good enough.

Teachers who believe in, or label children as gifted (as well as discouraging many children) may not see the point in putting efforts in to certain groups or children. I remember my Y3 team leader in my first year of teaching explaining that if I hadn’t given children the chance to do something, then they certainly would not be able to do it. They may also be inclined to put children into groupings for subjects from which they can never escape, as they are never given the opportunity to do the same work as ‘the other group’.

Mathematical Mindsets – Jo Boaler.

I am working on (and shall be over the summer holidays) an online MOOC – Mathematical Mindsets, run by Jo Boaler.

If you haven’t come across Jo before, find her on the Twitter, google her or read her books. I love her methods for maths and the way she links them with growth mindsets.

I intend publishing some of my work here.

In my first piece, Jo shared three pieces of research onto brain growth with us and asked us to share our feelings about how this should impact schools.

 

Taxi Driver Evidence.

“You may have seen me show the evidence from London black cab drivers who have to undergo complex spatial training, at the end of which, they have a significantly larger hippocampus in the brain. At the end of being taxi drivers, when they retire, the hippocampus shrinks back down again.”

 

Taxi driver response:

This research shows that a brain that is being used develops and grows and that when the brain is not being used it regresses to its initial state. So in school I guess this means that we need to keep children thinking about their maths. The children who probably end up thinking about their maths are the mid-ability ones upwards who, if we are not careful are fed a diet of ‘more of the same with bigger numbers’. These are the children who are ‘high fliers’ who then plateau in their maths learning.

We need to use real-life challenging problems and investigations and games with all learners to ensure brains keep growing.

 

 

Half-Brain Case-study. “You may also have seen me show the girl who had half her brain removed. The doctors expected her to be paralyzed for many years or even for her whole life, but she shocked them by regrowing the connections she needed in a really

short space of time.”

 

Half-Brain response:

This research shows that the brain is a wonderful thing which scientists are still understanding…slowly in some cases.

In school we need to encourage our children to make connections within their brains to ensure that they keep developing. Brains don’t get full! We need to share this learning about re-wiring of brains with the children so they come to associate hard learning with something like a gym visit or fitness training – a development; and improver.

 

Stanford Case Study: “They brought 7 to 9-year-old children into the labs at Stanford, and half of them had been diagnosed as having mathematics learning disabilities, and half of them hadn’t. And they had these children work on maths under brain scans.

And lo and behold, they found actual brain differences. And the children diagnosed with learning disabilities actually

had more brain activity than the other children, more areas of their brain were lighting up when they worked on maths.”

 

Stanford response: Initially, this research seems to show that pupils who are thought have learning disabilities are working harder to keep up with (and by definition be not as good at maths as) their peers. Their brains are working harder, which means they will feel more tired during a maths lesson, be more stressed and require more breaks. We need to think in schools how we treat these children who are working harder, and it’s certainly not good enough to say X is not good at maths. It also suggests that schools need to find time to work closely with our ‘poorer maths attainers’ to get an understanding of where there learning is and to give them strategies to learn and develop their maths. – In an ideal world this can be done through group work and talk partners also.

Educational reforms.

As soon as the PISA results came out, the questions, accusations and incriminations began. Blame it on the CfE, blame it on the SNP, blame it on the boogie. I’m not going to blame anyone, there’s plenty of stuff written by plenty of people on the internet already, indeed I’m not sure the PISA results are something to aim for or worry about – Finland seems not to be too concerned – but I am going to write about working through major education reforms in my career to date.

The two major reforms which took place whilst I’ve been a teacher occurred in England and Scotland. In England, I taught through the time of the National Literacy Strategy, the National Numeracy Strategy, the QCA units, the QCA unit plans, SATS tests and OfSTED inspections every four years in a range of schools in England.  In Scotland I’ve taught throughout the implementation of the Curriculum for Excellence, and seen at first hand via The Girl, the national assessment procedures.

The reforms in England were massive and to a large degree micro-managed. The Government wanted improvements in literacy and numeracy and wrote strategies to make sure this happened. If there was debate around what ‘good’ literacy and numeracy should look like, I wasn’t part of (I was in my 20s though, so I knew everything anyway). The strategies were written by a group of literacy experts and then rolled out to schools in the autumn and winter to be put into place for the start of the next school year.

I recall the literacy strategy being rolled out in 2 hour staff meetings after school – I hate after school meetings, I’ve done a day of teaching, there is assessment to do and I’m tired: You’re not going to get the best out of me. These meetings were scripted by the government, the trainers read out what we needed to know and we worked through units of work which explained how the strategy worked, how we should plan, how we should teach reading,writing and spelling. We soon spotted that the answers to the trainers’ questions were usually on the next page of the document! For this training we were given a complete strategy, various unit breakdowns of our own, resources (which we needed to make up in school) and some examples of expected work. It was a slog but by September we had stuff in place and away we went with it. The lessons I taught from the strategy weren’t perfect, but there was a structure in place to help me.

Of course, your school didn’t HAVE to follow the literacy strategy, but if you didn’t and the OfSTED or local authority came a calling, your school literacy strategy had better be an improvement on the national strategy. If your SATS results weren’t up to standard then OfSTED might make an extra visit and again, you’d better be getting the national strategy in place or else (or else usually meant your HT retiring or resigning).

Once we had successfully implemented that – well actually by October of that same year – the National Numeracy Strategy was launched. If you’ve had the misfortune to chat to me about this, you’ll know I love the NNS! The Government spotted some of the problems with the literacy strategy and made some key improvements.

The NNS contained examples of questions and ideas you could use, straight out of the folder. The document, like the NLS had learning objectives for each term of each year group (meaning for differentiation there was a progression mapped out). However, the NNS was supplemented with two things I thought were brilliant.

Firstly, there was a 5 day maths course for every teacher in the UK. 5 days out of class (in a hotel at times) to discover the document, talk about it with colleagues from other schools, plan how you would implement it with your class, look at all the resources. Like the NLS it too was scripted, so the Government really were leading this change in EXACTLY the way they wanted it to go. The 5 days were back to back. A full week thinking about nothing more than numeracy. It changed my teaching approach to maths from ‘here’s the book kids’ to something I love to this day. And really it bloody well should have done, bearing in mind the cost of this to the UK taxpayer.

The other wonderful thing was the resources the NNS team made and shared. They created some wonderful teaching programs which I use to this day and they wrote the unit plans. These were highly detailed documents for each unit of work. Unit one was place value it contained 5 plans, one for each day of the week. Each plan was A4 and was pretty much a script for the lesson. There in the same folder (and latterly on CD-ROMS) were the resources (including worksheets) you needed for the lesson. Differentiated. The idea was that these plans were a start point, you changed them to suit the needs of your class. Lots of teachers did and that was great, but even if you didn’t (because you were, like so many teachers lazy 😉 what you delivered was good quality, written by numeracy experts, lessons. If you were new to the job it allowed you to know where to pitch an average lesson and how to piece your maths teaching together over a term. I loved them and still did out the ideas for a concept which my class find tricky to see if I’ve missed anything.

After a year or two, the Government did it again. They released the QCA topic documents. These detailed the teaching for all of the non-core subjects on a lesson by lesson basis. Again, all the information you needed to teach the lesson was contained in the folder. You adapted it, changed the order, added bits in, took bits out but the basic lessons for all your Art, DT, History, Geography, Music, Science, RME and PSE were there. Concurrent to that, the Government noticed that problem solving and investigations was not progressing as well as they wanted, so they created more problem-solving resource and ran another 5 day maths course for two teachers in each school to upskill them in teaching this. Again, resources and knowledge I still use to this day.

Looking back, it seems a great time, with resources aplenty, cash aplenty, but it was hard, hard work at times, with the pressure of OfSTED ready to pounce and the pressure of SATS scores needing to meet targets for school and local authority. For me, giving me start points close to a finished article of a lesson plan or termly plan allowed me to focus on the delivery of the lesson, moving children to their next target (of which they had many) and how I might make these at time dry lessons interesting and meaningful for the children. For teachers, new to the profession it certainly offered a proven scaffold to begin their careers. I loved the support the strategies and unit plans gave me and the time it freed up to think about the needs of the children in my care.

I will discuss the education reforms since I’ve moved to Scotland in my next post. I think it’s possible I moved out of England before things took a turn for the worse, but I’m happy to hear comments from people who disagree with that thought or with things as I recall them from the late 90s and early 2000s

Daily Maths Work.

I’ve been using a daily maths sheet which I found here, in addition to our brilliant in-house Minute Maths resource recently. I loved it as it reinforced so many aspects of maths which needed a steady drip feed before they became confident and embedded.

I decided that some of the parts of the sheet were still required this term, but I also wanted to add some aspects of maths which we still needed practice with. So, I made up my own sheet and adapted it to the needs of my class. In line with my last post, I’m offering it for free from here as a PDF, or e-mail me for the adaptable publisher doc. I’ll also put it on Pinterest.

 

Maths Map – Edinburgh

I originally wrote this 3 years ago. In reorganising my website, I have included it as a post rather than a page.

Tom Barrett has come up with a fantastic idea for using google maps to create maths maps. The idea, like many brilliant ones, is simple. You find an area (I did Edinburgh as it’s local, so I know it) and put in place markers in certain areas and attach maths questions to them. Children can then work through them in and out of school and answer the questions.

Because of the way google maps is shared people all over the world can collaborate with these maps (including children as part of their learning). You can use different coloured markers for different levels of questions. I’m really looking forward to trialling it in school during our maths week.

Here is a link to my maths map.

Here is a link to the maths map area of Tom’s blog. http://edte.ch/blog/maths-maps/

And finally here is a link to Tom’s blog, which I think is brilliant. http://edte.ch/blog/

5 Words to describe my class.

If you had to choose five words to describe your class, what would they be? -Dave Burgess
I found this idea and quotation here and thought it was a fantastic idea for teachers, but also a great idea to start the new school year off with a new class.
Messy.
Interactive.
Inquisitive.
Energetic,
Happy.
I wonder what words my class from last year would come up with?
Henti Smith fmgbain
Inquisitive Fascincation – Henti Smith

Weeknotes – Week 6

Here’s what’s been going on this week.

  • I bought a ukulele. This bad boy is winging its way to me as we speak. It’s a bit of a risk as I haven’t played this model, but Ukulele Hunt highly recommend it and it’s not stocked in any shop in Scotland. Hope it’s as good as it sounds on youtube!!
  • Digital leaders are nearing completion of episode one of our podcast, which will be available to listen to from here.
  • Another of our digital leaders has completed her wiki of useful websites for nursery!
  • I had an attainment meeting with my brilliant HT Fiona discussing my forward plan and attainment within the class. This was great, so much better than being given a feedback sheet about my forward plan and as the meeting was in real time, rather than paper 2.0. If there was anything either of us were unsure of we could discuss it…there and then! Simple, but so effective.
  • Sadly I missed our CPD about probability with John Sexton the staff who were able to attend said it was really good, and I’m looking forward to the next CPD session, and looking at the presentation which went along with John’s CPD.
  • I had a lesson observation this week for which I was really nervous. That too was about probability, and for me the most interesting thing was using a ‘What do we know..?’ type questions in the starter and subsequently changing my groupings ‘on the fly’ as one child answered brilliantly and could clearly do a more challenging task. This ‘what do we know?’ start is one I also used in an IDL lesson on Monday – and helped me to create an independent working group who developed the task further and at a greater pace.
  • I discovered that if your Step-Daughter is involved in a house fire, and the person whose house she is in doesn’t give you any details about the fire, you can request and receive a copy of the fire report from Lothian and Borders Fire Service by e-mailing them. A really efficient service, albeit one I hope you never need to use.
  • I was really pleased with 8 of my children choosing to present their poetry work in a poster/book style this week. At the start of the year, they would all have chosen to use a computer, as I feel it was a bit of a novelty. Now they are viewing ICT as the tool it is in their learning toolbox and are making decisions for themselves on whether it is the tool they want for a particular task! You can see the work, ICT based and paper based here.

I’m on half-term break next week – well I’m off on Monday anyway.

Weeknotes – 2013, week 5

Here’s what’s been going on this week.

  • Digital leaders are well underway with their podcast work and are ready to interview children and teachers alike. The P7 children have been trained (Ok, it was more this is the program, have a play…) in using Audacity and are confident using it now.
  • Another of my digital leaders is creating a wiki for our Nursery, which will provide details of a range of suitable websites for the Nursery children to use for different activities.
  • A couple of digital leaders also enjoyed playing about with scratch 2 and loved it!
  • I have worked briefly with our awesome and knowledgeable maths co-ordinator Alison Earnshaw, watching how she is currently assessing in depth our children as part of the Stages of Early Arithmetical Learning (SEAL) project. I thought I’d learned loads about maths from the NNS in England, but I’ve learned loads from Alison. It’s absolutely fascinating and is making me think hard about my teaching and my class’s learning of maths, specifically number.
  • I’ve enjoyed strumming the Ukulele as part of my West Lothian training – I’ve found a site, Ukulele Hunt which has great guidance and tunes on it.
  • I’ve continued thinking about homework and my feelings towards it, I think I’ll be blogging about this soon.
  • Kevin McLaughlin floated the idea via twitter of children creating something like Lifehacker, but about topics relevant and of interest to them. Sounds like an idea which has lots of possibilities in it. Be great if enough of us can find time to get it off the ground, as Kevin suggests, as a collaborative blogging project.
  • I’ve seen tweets, pics, blog posts and videos from BETT13. I’ve been envious of the teachers who have presented with their children, as I would love to take a group of children to That London, and see them presenting. It would be a wonderful experience for them I could easily see that type of experience and opportunity blowing their perceptions of education and of life’s ideas. Any sponsors wishing to make this happen, please contact me – the children have the creativity and the talent, but we’re over 400 miles from London.
  • The Glow2, Glew debate carries on North of the border, I read a fantastic blog post by Jaye Richards-Hill here, and I had some fun commenting on this blog post 
  • I battled with Youtube (not my favourite tool…but I’m working on it) to create a video about multiplication using a grid method for our blog page. I even added some text to the video!

Weeknotes -2013, week 4.

Here’s what’s been going on this week.

  • I attended some training about teaching fractions, decimals and percentages and was introduced to the Scottish Survey of Literacy and Numeracy. It was interesting looking at the survey and discussing it’s implications. However, having taught in a top down system for many years, I wonder if there is a case for national expectations for attainment being made more explicit.
  • I also attended lesson two of our Ukulele training. This was great fun again, and I loved playing on the concert Uke – watch out music shops of Edinburgh – it had a wonderful tone. I’m looking forward to beginning the lessons with my class.
  • I’ve been reading a lot of work on the Learning Spy. I’m finding it thought-provoking stuff and it’s fitting in nicely with the work we are doing with the raising attainment group in West Lothian. I tried out the who would lessons from this page and was pleased with the resulting discussions in the class.
  • I have had some good discussions with colleagues about differentiation (maybe on the back of my reading of the above). I feel differentiation is not about groupings in a class,  it’s more about having different expectations of outcomes from different pupils and creating opportunities for more ‘open learning’ and sharing of learning. Children need to be given the chance to experience all the learning available, not have it ‘trimmed down’ to ‘suit their needs’ (whatever that patronising, yet often heard, phrase might mean).
  • I have signed up for a MOOC Elearning and Digital Cultures which begins next week – hopefully time will allow me to complete the course watch this space!
  • Digital leaders have decided to create a podcast, rather than vodcast and have made up some great interview questions to ask the teachers. Hopefully we will launch episode 1 soon!
  • Sadly Frank Keating died this week, adding to CMJ and Tony Greig dying within the last month. Whilst not knowing them personally I know their work intimately and I will miss reading and listening to them.
  • I updated our school resources site to include the SSLN work and also the Ukulele presentations we have been following in our lessons.

Wii Sports for Mean, Mode and Median.

This first appeared on January 23rd 2010 on my old blog. I’m re-posting some material which I have salvaged from that mysteriously disappered blog here. I hope you find it useful

 

My final lesson of the week to involve the Wii used the practice option for batting on Wii sports baseball. I decided that I wanted to create a larger range of numbers for the children to find the median number of. Wii sports baseball batting practice allows you to have 10 swings at 10 pitches. It records (quite quickly) what the distance is that you hit it. It was this data we recorded for our averages lesson. As with the bowling, there were 10 numbers to record, meaning we had to split the 5th and 6th numbers to find the median. After a discussion about the best way to do this, we managed quite well and got better at it as we progressed through the tables taking their turns at batting.

The children were by now quite good at finding the mean and mode for the range of numbers. One of the more interesting discussions we had whilst using the Wii for averages, was the way the modal average differed between the bowling game and the baseball game. In the bowling game, the mode was 10, and the mean average score was frequently around 9. The children could clearly see that the mode and mean were closely related in that scenario. However, despite some of my group being ace sluggers, (the record was 7 homers out of 10 attempts!), the mode for each set distances was 0. This was not close to the mean average, which was around 110m.We briefly discussed the reasons behind this and talked about which average is most useful in which situations.

One final thought about the Wii bowling. The scoring of bowling is quite complex when spares and strikes are involved (which with my class they always seemed to be) I wonder i there is some maths to be investigated  in how the scores are made, maybe with a secondary class devising new scoring methods for bowling and using the Wii bowling game to see how they would work, comparing the scoring methods with each other. The children throughout the week certainly enjoyed our use of the Wii, and they seem to have learned how to calculate the mean, mode and median averages for a set of numbers. An enjoyable and productive week in maths.

By The Library of Congress 

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