Archive for the ‘Notes’ category


Clash of Clans Maths Lesson

Almost all the children in my classes play Clash of Clans, so I thought it would a good basis to try my first 3-Act lesson, as per Dan Meyer.

There’s some arithmetic and geometric progression that’s ripe for more advanced students, but I teach KS2 and KS3 so wanted something a little simpler. This thread on Reddit gave the starter

Anyway, looking forward to trying it with my Year 7s tomorrow.

Slides here: Clan Maths – Build Walls

Info Sheet here: Clash of Clans – Wall build – info sheet

Rough notes below

Act 1: The set-up

  • Introduce Clash of Clans / make sure everyone understands it
  • Show pictures of time-lapse growth and ask for questions
  • Discuss everyone’s questions – which interesting, which mathematical etc
  • Make list of these so can come back to them and try to answer
  • Ask for estimates of real cost of walls in gems.
  • Act 2: The Wrestle

  • Ask what sort of information we’d need to work out the answer
  • Discuss approach:
  • keep it precise
  • help with proportion / rate problems if need be but try to ensure students do heavy lifting
  • Handout info sheets
  • ask children to team up to find useful bits of information
  • can use calculators
  • Act 3: The Reveal

  • Show the answer
  • Explain steps and discuss how tie in to discussions in Act 2
  • Look at left-over questions – room for answers, what next

  • David Weston on Unleashing Greatness in Teachers


    Student Design Award Winner - Curiosity: Exploration and Discovery from RSA Student Design Awards on Vimeo.

    Curiosity

    Like this a lot.


    TLAB Notes

    Took a while to get there, what with train cancellations, but it was worth it.

    Lots to think about, though various themes/books seemed to be being hammered home. Nuthall’s Hidden Lives of Learners and Berger’s Ethic of Excellence were heavily plugged.

    Notes from what I saw:

    Sarah-Jayne Blakemore

    There’s a talk of hers below which covers some similar things

    Ken Brechin, Cramlington & CPD

  • Bible seems to be Daniel Muijs’s book Effective Teaching.
  • Big questions were: “Is your CPD having an impact?” and “How do you know?”
  • Various ways of measuring impact – analysis of student data through to anecdotal evidence – but context affecting currency. Main thing is to make sure you know what you want CPD to achieve.
  • Spoke to various punters – all agreed that CPD often not great in schools. Seemed usually to be an expensive, hard to argue for OSIRIS course and then no sharing of what learnt
  • Ray Healey on Creating and Extension Culture in Maths

    Cristina Milos


    Adjective Game for English Lessons

    I’ve had a very quick stab at hacking together a simple version of a game I used to play as a child.

    Whoever is playing chooses their adjectives and then these are dropped randomly into a famous story.

    I’ve grabbed the opening to Alice in Wonderland from Project Gutenberg as a first effort. Would love to hear some other possible suggestions.

    You can download the game here.


    Seymour Papert

    Seymour Papert


    “When it comes to thinking about learning, nearly all of us have a School side of the brain, which thinks that school is the only natural way to learn, and a personal side that knows perfectly well that it’s not.”

    Seymour Papert, The Children's Machine

    Research on Ability Grouping and Setting in Maths Classes

    I’ve been trying to tie together some of the various bits of research I’ve come across for and against ability grouping in maths. Below is what I’ve got so far, but would love any other pointers, for or against.

    The last 30 years’ research suggests setting marginally improves high-achievers, but to the detriment of everyone else.
    Sources are: DfES (2004) Making Mathematics Count (London: TSO), Askew, M. and Wiliam, D. (1995) Recent Research in Mathematics Education 5-16 (London: HMSO), Sukhnandan, L. (1998) Streaming, setting and grouping by ability: a review of the literature (Slough: NFER), Education Endowment Foundation, http://educationendowmentfoundation.org.uk/toolkit/ability-grouping/

    This may be for various reasons but some relevant findings are:

    1. Summer births are penalised (Much like ice-hockey players with December birthdays) (Ed Endowment link above)
    2. Approximately one-third of the students taught in the highest ability groups were disadvantaged by their placement in these groups because of high expectations, fast-paced lessons and pressure to succeed. This particularly affected the most able girls.
      Boaler, J., William, D., & Brown, M. “Students’ experiences of ability grouping —disaffection, polarisation and the construction of failure.” – http://www.nottingham.ac.uk/csme/meas/papers/boaler.html
    3. Surprisingly, too, we all as teachers actually differentiate more poorly in set classes than when teaching mixed ability classes, teachers typically use methods and materials that allow students to progress at their own pace through suitably differentiated material. By contrast “setted lessons are often conducted as though students are not only similar, but identical – in terms of ability, preferred learning style and pace of working.” (Boaler and Wiliam)
    4. Setting is for life, though, not just for Christmas. Most children never change sets.
      Ollerton, M. (2001) “Inclusion, learning and teaching mathematics” in Gates ed. (2001b: 261-76)
    5. And nobody is very good at setting well. We are all more fallible and subjective than we like to admit.
      Watson, A. (2001) “Making judgements about pupils’ mathematics” in Gates ed. (2001b: 217-31)
    6. Ability grouping within a class has had tentatively positive results.
      Sukhnandan 1998: 17-8, 37-9. see above
    7. The conclusion from the research is that if it helps, it helps teachers more than children
      Director of IoE, Chris Husbands, https://ioelondonblog.wordpress.com/2014/09/04/setting-by-ability-what-is-the-evidence/
    8. The most successful maths countries set the least – PISA rankings

    What to avoid when teaching

    Durham University, the Sutton Trust and CEM published an interesting report called “What Makes Great Teaching” in October 2014. It’s an overview of what research appears to be telling us at the moment.

    While it would be wonderful to think there is a simple, step-by-step formula to a perfect lesson, I’m not at all convinced it exists. In fact, I tend to think any complicated scenarios (classrooms, trading floors, warzones etc) preclude those sorts of plans beyond the “Stay in touch, keep moving and head for the high ground” heuristics.

    One of the sections that caught my eye, though, was a list of things that don’t work. That instantly appeals.

    The Don’ts

    Don’t use praise lavishly.

    This is Dweck, Hattie and others.

    “Praise for successful performance on an easy task can be interpreted by a student as evidence that the teacher has a low perception of his or her ability. As a consequence, it can actually lower rather than enhance self-confidence. Criticism following poor performance can, under some circumstances, be interpreted as an indication of the teacher’s high perception of the student’s ability.”

    Don’t allow learners to discover key ideas for themselves

    Research evidence broadly favours direct instruction (Kirschner et al, 2006).

    if teachers want them to learn new ideas, knowledge or methods they need to teach them directly.

    Don’t group learners by ability

    Evidence on the effects of grouping by ability, either by allocating students to different classes, or to within class groups, suggests that it makes very little difference to learning outcomes (Higgins et al, 2014). If anything,

    [it] can result in teachers failing to make necessary accommodations for the range of different needs within a supposedly homogeneous ‘ability’ group, and over-doing their accommodations for different groups, going too fast with the high-ability groups and too slow with the low.

    Don’t encourage re-reading and highlighting to memorise key ideas

    Highlighting feels good but is deceptive – it doesn’t really work. A range of studies have shown that testing yourself, trying to generate answers, and deliberately creating intervals between study to allow forgetting, are all more effective approaches. (My notes on some of these studies are here)

    Don’t address issues of confidence and low aspirations before you try to teach content

    The effect of trying to boost morale before the content is near-zero. Poor motivation is actually a logical response to repeated failure. Start getting them to succeed and their motivation and confidence should increase.

    Don’t present information to learners in their preferred learning style

    Over 90% of teachers in several countries (including the UK) agreed with the claim that “Individuals learn better when they receive information in their preferred learning style (for example, visual, auditory or kinaesthetic)”. Sadly, the psychological evidence is clear that there are no benefits for learning from trying to present information to learners in their preferred learning style.

    Don’t ensure learners are always active, rather than listening passively, if you want them to remember

    If you want students to remember something you have to get them to think about it. This might be achieved by being ‘active’ or ‘passive’.


    Careful Documentation

    This (thank you Cristina) is a great mini-documentary about the impact of documentation as used in the Reggio Emilia schools and with the Making Learning Visible project

    Documentation: Transforming Our Perspective from Melissa Rivard on Vimeo.

    Intuitively, I am wholeheartedly behind this sort of approach. Instinctively, too, I worry about the biases that come with collecting. A while ago, I was interested in collecting and the biases, problems and difficulties with that. Documentation is clearly prone to that.

    To summarise, though it’s a little jarring as a quote, you can use the wonderful Culture of Collecting:

    “… if the cultural criterion of the desirable excludes anything tainted by ‘shit’, if the definition of a collectible rests on an implied ritual of cleansing … and if we never touch anything that is not already in a sense ‘our own’, then all conventional collecting can really offer is kitsch.”

    Often the display work you see published online, or the student portfolios is similarly kitsch. Student work can be work that is “cleansed” by teachers, so to speak. Displays, while often remarkably talented, are also often remarkably kitsch.

    Where the documentary scores for me is that those involved clearly see who “owns” the documentation to be an issue. For older students, what is helpful is that they become the protagonist in their own documentation. That, for me, is the exciting part. And that is what stops it being kitsch.


    004-brigitte-lacombe-theredlist
    “Tyrrany is the deliberate enemy of nuance”

    Albert Maysles