Transcript Beauty and Power of Mathematicsx

Clare Tope
University of Winchester
1982
Cockcroft Report
‘Problem solving is at the heart of mathematics’
1989
National Curriculum
The programme of study for each key stage
should be taught to the great majority of pupils
in the key state, in ways appropriate to their
abilities
1999
National Numeracy Strategy
Numerate pupils
Confident and competent with number an
measures
2008
Williams Review
Recommendation 10
A renewed focus on ‘oral and mental
mathematics’
2013
National Curriculum
‘fluency’
2015
NCETM
‘mastery’
Sir John Jones: teacher values
and purpose
Sir John Jones
• ‘Children don’t forget the way
you make them feel’
• Ministers come and go, National Curriculums
come and go, initiatives come and go
• Teachers get back in the boat …
Community of Apprentice
Mathematicians
• Have imaginative ideas
• Ask questions
• Make mistakes and use them to learn new
things
• Are organised and systematics
• Look for patterns and connections
• Keep going when it is difficult
TOGETHER WE CAN LEARN TO BE MATHEMATICIANS
Burton 2004
National Curriculum 2013
‘Beauty and Power of Mathematics’
NCETM Mastery Documentation
‘Rich and varied practice’
Roll the die
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Roll a die and make a note of the number
Double the number
Add three
Multiply by 5
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Roll again and make note of the number
Add your new number
Add 6
Multiply by 10
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Roll again
Add to the total
Tell me the final answer
Roll the die
Roll the die and write down the number
n
Double the number
2n
Add 3
2n + 3
Multiply by 5
10n + 15
Roll again and write down the number
m
Add your new number
10n + 15 + m
Add 6
10n + m + 21
Multiply by 10
100n + 10m + 210
Roll again
p
Add to the total
100n + 10m + p +210
The numbers rolled were
n , m , and p
Add in a flash
• Write down a 5-digit number
5 4 3 2 8
• Write down another 5-digit number
• I write down a number
6 1 0 3 5
3 8 9 6 4
• Write down another 5-digit number
• I write down a number
3 7 8 2 4
6 2 1 7 5
• Write down a 5-digit number
• I write down a number
2 0 3 8 1
7 9 6 1 8
• Find the total
3 5 4 3 2 5
All the 2s
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Choose three numbers less than 10
Write down all the two digit numbers you can make
Find the total
Add the digits together
Divide the total of the six numbers by the total of
the digits
• Reveal the answer - 22
Pick Up Sticks
• From the pile of sticks, chose either 1,2 or 3
sticks at a time. The winner is the person who
picks up the last stick.