1.
Street Maths
Edmund Harriss
University of Leicester
@gelada
www.mathematicians.org.uk/eoh
Saturday, 14 November 2009
2.
What is mathematics?
Large numbers?
PhD student: I have started a maths PhD
Elderly Relative: What’s that then,
multiplying and adding very big numbers?
PhD student: No, its mor...
Elderly Relative: What?! Are you LAZY!
Saturday, 14 November 2009
3.
This is 1 million points it
becomes a blur
Even when I double
Maths tools:
Saturday, 14 November 2009
4.
Why is this understanding important?
We have (quite recent) way of expressing
1 numbers very well, expressing them is not
the same as understanding.
1000
Especially when we say them...
1000000
1000000000 Nice idea, look at time...
So why is this important...
One: 1 second
One Thousand: ~17 minutes
One Million: ~11 days 14 hours
One Billion: ~32 years
One Trillion: ~32,000 years
Saturday, 14 November 2009
5.
xkcd: http://xkcd.com/558/
...they can be used to mislead. At the moment the classic example is in the
sums being talked about.
If people are to take full advantage of an open access system they need to
be able to think.
Mathematics is about clear thought.
How do we get mathematics out there?
Saturday, 14 November 2009
6.
These two Lengths
are incommeasurable
Start with a legend
Two images of pythagoras, neither really him, so we will take Wrong! Bad!
one to be Hippasus
Legend says they were in the pythagorean cult that worshipped
Drown Him!
whole numbers.
With whole numbers you get ratios.
But Hippasus said...
Hippasus
and so...
This is a legend, there is almost no historical evidence. But that
does not matter, the story is important. People tell it because it
sounds ludicrous.
Maths is free. You cannot patent maths.
We have a different problem, once you have built something how
do you make people come...
Incommeasurable
Is there a barrier of education/training?
Pythagoras
Lengths
Saturday, 14 November 2009
7.
Ramanujan
Clerk, with basic maths
education but willing to
explore.
Worked at the cutting
edge of maths...
Saturday, 14 November 2009
8.
Robert Ammann
Marjorie Rice
Played with ideas and discovered new
tilings.
Where did their ideas come from?
Saturday, 14 November 2009
9.
Martin Gardner
Godfather of street maths
Got ideas out there
Ammann after Penrose
Rice read one of his columns
You might say there is something elementary or naive
about this work
Yes, but that does not matter. This is not about creating
new maths (though that is a bonus) its about getting
people doing it...
so how...
They are...
Saturday, 14 November 2009
10.
Playground proof
So we have
established maths There are a lot of ideas here. Kid B has grasped
important, it is open a proof. There is no highest whole number.
and people can do
it...why don’t they? However hard Kid A works he cannot make a
number that Kid B cannot beat with one
We have all been told
how useful maths is.
It would be useful for
Kid A: One squagillion,
phrase.
me to keep my
receipts organised,
but I don’t zillion, katrillion,
godzillion,gajillion,
On the other hand I
am one of the “lucky”
ones. I always found
maths exciting.
umptillion, trillion,
Possibly too much so.
Meeting a group of
friends with the
sunday magazines, I
looked over
entranced. What a
great tiling! million, billion squared!
I was mocked.
Standing in front of
the tiling was Natalie
Portman
So...how do we get
people interested... Kid B: Plus one
Saturday, 14 November 2009
11.
ac e?
ill Sp es
es F /sh
ap
ap gs.org.
For some
uk
Sh
Maths is fun:
o ww.tilin
d w
Puzzles, Games
owhttp://
Summer Exhibition
H Mathematicians playing
Saturday, 14 November 2009
12.
For others:
Maths is beautiful
Maths art, concrete art
Saturday, 14 November 2009
13.
m e
H i zu
ge. or g/
A k io .sta
rca
ww
://w
http
Both of these are still top down.
Lots of people do sudoku, are they learning to think? A little but there
are limits.
People can look at pictures and find them beautiful without trying to
understand them.
Akio Hizume. Projects to build, to walk through...to DO
Want to get people doing maths
Present them with opportunities to build themselves
If you have to make something you have to engage at a lower level
Paper polyhedra
Street maths is about getting people involved and creative with
maths. Putting it in front of them, but also building something.
Saturday, 14 November 2009
14.
Project that started it...
Make triangles
Hinge
People do the work...
Saturday, 14 November 2009
15.
Then need people to build it.
But also to design it...
Started with a talk on symmetry
Made models: No symmetry
People built models and then voted on which we
would make.
Smashed model
Saturday, 14 November 2009
16.
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Final result
The design is open
WANT other people to
make them.
Saturday, 14 November 2009
17.
Hyperscope.
Mirrors.
People can build (or even
design) then experience a
world of negative
cur vature.
Saturday, 14 November 2009
18.
auss
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20 33 Big influence on me:
ath
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Bamboo maths company.
http Teaching this to students
Saturday, 14 November 2009
19.
ati cs
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Street maths is:
Doing/building mathematics.
l out
Gettin
f op en
useo
M ak ing
tru cti on/
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ac ces abs
F abL
Saturday, 14 November 2009