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Out on the street I was talkin' to a man
He said "there's so much of this life of mine that I
don't understand”
You shouldn't worry yes that ain't no crime
Cause if you get it wrong you'll get it right next
time
https://www.youtube.com/watch?v=SXW-sL5gzHQ
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The Maths and Mindsets Revolution
Dave Bowman
Teacher of Mathematics
Farmor’s School
10 June 2016
[email protected]
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Do the sums
If letters A,B,C,D,E…X,Y,Z represent 1%, 2%, 3%.......24%, 25%, 26%
Calculate the value of the sum of letters in
KNOWLEDGE
3
96%
HARDWORK
2
98%
ATTITUDE
1
100%
0
20
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40
60
80
100
#YesUCan
120
“It was the best of times, it was the worst of
times, it was the age of wisdom, it was the
age of foolishness, it was the epoch of
belief, it was the epoch of incredulity, it was
the season of Light, it was the season of
Darkness, it was the spring of hope, it was
the winter of despair, …….” we had everything before us, we
had nothing before us, we were all going direct to Heaven, we were all going direct the
other way--in short, the period was so far like the present period, that some of its
noisiest authorities insisted on its being received, for good or for evil, in the superlative
degree of comparison only
A Tale of Two Cities – Charles Dickens
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Best of Times
2012 Formation of www.nationalnumercy.org.uk
National Numeracy is an independent charity
that focuses on adults and children with low
levels of numeracy.
We aim to challenge prevailing attitudes,
influence public policy and research, identify
and promote effective approaches
to improving numeracy.
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Best of Times
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Worst of Times
“Mathematics has the dubious honor of being the least
popular subject in the curriculum… Future teachers pass
through the elementary school learning to detest
mathematics … They return to the elementary school to
teach a new generation to detest it”
How to Solve it; Polya; 1956
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Worst of Times
“…it is currently socially acceptable to say
you are weak numerically.
Whereas it is ‘ok’ to say ‘I don’t know 9
times 7’; it is not ok to say ‘I can’t spell’ ”
Letter of application; Dave Bowman; 2002
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Now is the Time
It’s no exaggeration to say this is
a make or break period in the history of
maths in this country.
RT Hon
All around us, the influence of mathematics is shaping our lives in previously
Elizabeth Truss
unimaginable ways. From our experience of online shopping to the financial
performance of investments and pensions, we live in a world entirely framed by maths.
2012
Even in those professions not traditionally associated with mathematics, there’s now a
heavy reliance on algorithms and calculations: in journalism to spot the patterns in
data; in architecture to use algebra and calculus with confidence; in marketing to make
sense of the enormous array of statistics the world creates every day.
That modern orientation towards deduction and logic, that appetite for maths, the
appreciation of statistical analysis, technology and probability, opens up tremendous
opportunities for young people in this country. But to take full
advantage, we
need to start exploiting mathematics as urgently as other
countries might drill for oil.
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Elizabeth Truss – February 2014
Ms Truss said children in Shanghai were "streets ahead" of
their UK counterparts and believes it is "teaching practices
and a positive philosophy that make the difference".
"They also have a can-do attitude to
maths, which contrasts with the
long-term anti-maths culture that
exists here", she said.
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The Mindset Revolution – Really?
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Who and When ?
The great teachers believe in the growth of the intellect
and talent, and they are fascinated with the process of
learning
Carol Dweck: Mindset 2006
Each one of us should be in love with learning and this
desire for self-improvement should remain with us as long
as there is breath in our body
Sir Michael Grylls : Born to Succeed 1994
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#YesUCan - Revolution
POSTERS
PROCEDURES
POLICY
You are making it happen by
what you do and say
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MINDSETS
GROWTH IS ONLY 25%
GROWTH
PURPOSE
BELONGING
SELF-EFFICACY
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MINDSETS
GROWTH IS ONLY 25%
Teaching Adolescents to
become learners;
Farrington et al 2012
GROWTH
PURPOSE
BELONGING
SELF-EFFICACY
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Think Big – Start Small
“One approach would be to change institutional structures and
practices so that students’ everyday school and classroom experiences
promote positive academic mindsets.”
“Another approach would be to leave schools and classrooms as they
are, but to use the findings from intervention research to help
students achieve positive mindsets and thus inoculate students
from potentially unsupportive environments.”
Teaching Adolescents to become learners;
Farrington et al 2012
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Inoculate Students
“Help students achieve positive mindsets and thus inoculate students from
potentially unsupportive environments”
“Investing in an intervention program could be a prudent way to build students
academic mindsets without changing existing school and classroom practice”
Portsmouth Study
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Staff Mindsets are important
“pedagogical practices can lock students into low
achievement and deplete the math pipeline”
“It’s ok – Not everyone can be good at math” :
instructors with an entity theory comfort (and
demotivate) students.
Rattan, Good, Dweck; Journal of Experimental Social
Psychology; December, 2011
Carol Dweck- warning
……a growth mindset is the belief that you can consistently develop
your talents and abilities. This stands in contrast to a fixed mindset,
which is the belief that your talents and abilities are carved in stone
and cannot be further cultivated.
Research has repeatedly shown that a growth mindset fosters
greater motivation and achievement in students. However, a growth
mindset does not promise that your ability will develop, let alone
develop to a high level, regardless of what you do. Nor is there any
evidence that saying, “You can do anything,” teaches students a
growth mindset.
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Carol Dweck #Leaderstolearnfrom
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Carol Dweck #Leaderstolearnfrom
“Learning and progress is the ultimate goal. Effort is
the root."
“Mastery based learning is very compatible with growth
mindset.”
“We have to teach students to ask for guidance and not
just the answer.”
“Our growth mindset can become our students' growth
mindset. Walk the talk and talk the talk.”
“Bouncing back from setbacks is at the heart of growth
mindset.”
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My classroom message
We are here to learn
Do you want
to learn?
Many people
can help you
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Don’t want to
learn?
Nobody
can help you
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Make your message clear
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CLASSROOM NORMS
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Adaptive Mindsets
and Classroom Norms
are necessary for
Mastery
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NCETM assessment materials
1. A mastery approach: a set of principles and beliefs. This includes a belief that all
pupils are capable of understanding and doing mathematics, given sufficient time. Pupils
are neither ‘born with the maths gene’ nor ‘just no good at maths’. With good teaching,
appropriate resources, effort and a ‘can do’ attitude all children can achieve in and enjoy
mathematics.
2. A mastery curriculum: one set of mathematical concepts and big ideas for all. All
pupils need access to these concepts and ideas and to the rich connections between
them. There is no such thing as ‘special needs mathematics’ or ‘gifted and talented
mathematics’. Mathematics is mathematics and the key ideas and building blocks are
important for everyone.
4. Achieving mastery of particular topics and areas of mathematics. Mastery is not just
being able to memorise key facts and procedures and answer test questions accurately
and quickly. It involves knowing ‘why’ as well as knowing ‘that’ and knowing ‘how’. It
means being able to use one’s knowledge appropriately, flexibly and creatively and to
apply it in new and unfamiliar situations. The materials provided seek to exemplify the
types of skills, knowledge and understanding necessary for pupils to make good and
sustainable progress in mastering the primary mathematics curriculum.
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Try everything
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How we react to Mistakes
Moser et al 2011
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Try everything
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Grow the Roses
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Where are you on your road to success ?
E
F
F
O
R
T
I did
100%
I am
90%
I can
80%
70%
I think I can
I might
60%
I think I might
50%
I want to
40%
I wish I could
30%
I don’t know how to 20%
I can’t
10%
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0%
Posters Help
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NOT YET ! Messages from the YETI
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Regular mindset messages in school magazine and twitter
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Make them Believe
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Thank you
#YesUCan
make a difference
It’s revolution time
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