Supporting non-
specialists to
promote
numeracy across
the curriculum
What’s the difference
between numeracy
and maths?
Don’t call it numeracy!
• Numeracy is vital, but irrelevant across
the curriculum
• Much better to focus on conceptual
und...
Why do students
struggle with
maths?
The effect of ‘affect’
• Being bad at maths is socially
acceptable
• Few students are cognitively
incapable of passing mat...
Learning vs activities
• Performance is not the same as
learning:
962
• Learning happens when you think hard
about subject...
What not to do
What not to do
• English: count the number of lines in a
poem
• Art: calculate the amount of paint
needed to cover your ca...
Thinking like a mathematician
• Number
• Operations & calculations
• Shape, space & measures
• Data handling
Limited appli...
Thinking like a mathematician
• Identifying structures & relevant data
• Being systematic
• Searching for patterns
• Think...
The golden ratio: 1.61803398875
A way of understanding the world
Is all beauty
mathematics?
A mathematician, like a painter
or a poet, is a maker of
patterns …
The mathematician’s patterns,
like the painter’s or th...
So, what can we
do in lessons?
6 degrees of separation
How do you get
from here…
…to here?
6 degrees of separation
1. Select a topic or theme
2. write 1-6 down a page
3. Put your topic at no. 6
4. Get from the sti...
6 degrees of separation
Get from this clip to your chosen topic in 6 steps
Asking mathematical questions
• How could you sort these.......?
• How many ways can you find to ....... ?
• What happens ...
Domain specific thinking
(with maths)
• specialising – trying special cases, looking at
examples
• generalising - looking ...
Organising information
Felines Rodents
Canines
Comparison alley
1st thing
2nd thing
What they
have in
common
Dulce et
Decorum Est
In Flanders
Field
Shall I compare…
thee
…
to a
Macbeth
ambition
friendship
Duncan
murder
Lady
Macbeth
The
witches
Banquo
predictions
power
Macduff
revenge
The person below the
‘Quaker Christians’ set
himself alight in
protest at the Vietnam
War
‘Quaker Christians’
goes in the ...
Presenting information
• Maths provides new ways of seeing
the world:
– Graphs
– Timelines
– Flow charts
– Graphic organis...
Tension graphs
Accuracy matters
• What does maths teach us about
attention to detail?
• Getting it right vs. getting it done
• Where can ...
The mathematics of writing
• Grammar, like mathematics, is
sequential.
• Subject, Verb, Object (or other)
I am a teacher
•...
Understanding scale
• A million seconds = 11 ½ days
• A billion seconds = 32 years
Seeing relationships
www.informationisbeautiful.net
Key points
• Being unable to think mathematically
is not socially acceptable
• If it doesn’t help pupils think about
subje...
The Secret of Numeracy
The Secret of Numeracy
The Secret of Numeracy
The Secret of Numeracy
The Secret of Numeracy
The Secret of Numeracy
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The Secret of Numeracy

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  • 13x74
  • to increase challenge- increase the degrees of separation
  • to increase challenge- increase the degrees of separation
    Chuck in steps – no 4 must be flags no 7 must be Nelson Mandella
    Close or open?
  • …poems?…demonstrate conservation of mass?…take out all the pronouns?…reasons for erosion…Between Hitler and Stalin?
  • …poems?…demonstrate conservation of mass?…take out all the pronouns?…reasons for erosion…Between Hitler and Stalin?
  • The Secret of Numeracy

    1. 1. Supporting non- specialists to promote numeracy across the curriculum
    2. 2. What’s the difference between numeracy and maths?
    3. 3. Don’t call it numeracy! • Numeracy is vital, but irrelevant across the curriculum • Much better to focus on conceptual understandings and ‘mathematical thinking’
    4. 4. Why do students struggle with maths?
    5. 5. The effect of ‘affect’ • Being bad at maths is socially acceptable • Few students are cognitively incapable of passing maths at GCSE • But it makes some students ‘feel stupid’.
    6. 6. Learning vs activities • Performance is not the same as learning: 962 • Learning happens when you think hard about subject content • Anything which occupies working memory reduces our ability to think • Memory is the residue of thought.
    7. 7. What not to do
    8. 8. What not to do • English: count the number of lines in a poem • Art: calculate the amount of paint needed to cover your canvas • PE: time yourself running 100m, take your pulse, draw a graph… • History: Multiply the number of King Henrys by the number of King Georges
    9. 9. Thinking like a mathematician • Number • Operations & calculations • Shape, space & measures • Data handling Limited applications across the curriculum Useful everywhere Make the implicit explicit
    10. 10. Thinking like a mathematician • Identifying structures & relevant data • Being systematic • Searching for patterns • Thinking logically • Predicting & checking • Breaking down problems into smaller parts • Interpreting solutions in context of problem • Estimating to check likelihood of answers
    11. 11. The golden ratio: 1.61803398875
    12. 12. A way of understanding the world
    13. 13. Is all beauty mathematics?
    14. 14. A mathematician, like a painter or a poet, is a maker of patterns … The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Beauty is the first test. GH Hardy
    15. 15. So, what can we do in lessons?
    16. 16. 6 degrees of separation How do you get from here… …to here?
    17. 17. 6 degrees of separation 1. Select a topic or theme 2. write 1-6 down a page 3. Put your topic at no. 6 4. Get from the stimulus to your topic in no more or less than 6 steps
    18. 18. 6 degrees of separation Get from this clip to your chosen topic in 6 steps
    19. 19. Asking mathematical questions • How could you sort these.......? • How many ways can you find to ....... ? • What happens when we ......... ? • How many different ....... can be found? • What is the same/different? • Can you group these ....... in some way? • Is there a pattern? • How can this pattern help you find an answer? • What do think comes next? Why? • Is there a way to record what you've found that might help us see more patterns? • What would happen if....?
    20. 20. Domain specific thinking (with maths) • specialising – trying special cases, looking at examples • generalising - looking for patterns and relationships • conjecturing – predicting relationships and results • convincing – finding and communicating reasons why something is true.
    21. 21. Organising information Felines Rodents Canines
    22. 22. Comparison alley 1st thing 2nd thing What they have in common Dulce et Decorum Est In Flanders Field
    23. 23. Shall I compare… thee … to a
    24. 24. Macbeth ambition friendship Duncan murder Lady Macbeth The witches Banquo predictions power Macduff revenge
    25. 25. The person below the ‘Quaker Christians’ set himself alight in protest at the Vietnam War ‘Quaker Christians’ goes in the centre right hand square The three aspects of Christian Just War Theory make up the centre column The person below the ‘Quaker Christians’ set himself alight in protest at the Vietnam War The only two square that relate to Islam are both in the left hand column The statement ‘war must be started by a legitimate authority’ goes next to the name ‘Norman Morrison’ The two word phrase that describes those people who refuse to fight in a war based on their moral compass goes is in the right hand column One aspect of just war theory is that ‘the good must outweigh the evil’ The name for the small band of Christianity that believes there is a light in everyone and so do not believe in taking life under any circumstances is underneath the phrase ‘conscientious objectors’ The phrase ‘Just War Theory’ goes in the top left hand square The name for the Muslim struggle to achieve outer peace which may involve going to war to protect your country or religion is written in the left hand column The name for the combination of inner and outer jihad is on the bottom rowNorman Morrison War must be started by a legitimate authority Just war Theory The struggle for peace Waging war must be the last resort The good must outweigh the evil Conscientious objectors Quaker Christians Outer Jihad
    26. 26. Presenting information • Maths provides new ways of seeing the world: – Graphs – Timelines – Flow charts – Graphic organisers – Pie charts
    27. 27. Tension graphs
    28. 28. Accuracy matters • What does maths teach us about attention to detail? • Getting it right vs. getting it done • Where can we apply the concept of ERROR CHECKING across the curriculum? – Dates in history? – Notation in music? – Learning lines in drama? – Punctuation in English?
    29. 29. The mathematics of writing • Grammar, like mathematics, is sequential. • Subject, Verb, Object (or other) I am a teacher • Construct a sentence that follows this pattern: P O, S V O C, P O, S V O VS O
    30. 30. Understanding scale • A million seconds = 11 ½ days • A billion seconds = 32 years
    31. 31. Seeing relationships www.informationisbeautiful.net
    32. 32. Key points • Being unable to think mathematically is not socially acceptable • If it doesn’t help pupils think about subject content, it’s a waste of time • Make the implicit explicit • The secret of numeracy… is that there’s no such thing.
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