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How can non-math teachers teach mathematical literacy across the curriculum? Slides from a talk I gave at Sargent Park School on November 7, 2008.
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Darren KuropatwaDept. Head Mathematics
Daniel McIntyre Collegiate Institute
Sargent Park School
November 7, 2008Numeracy Across the Curriculum or ...
I read the news today. Oh boy!
Why should we care about mathematics?
Why should we care about mathematics?
job skills, needs of science and technology
Why should we care about mathematics?
job skills, needs of science and technology
essential understanding to be a responsible citizen
play
Why should we care about mathematics?
job skills, needs of science and technology
essential understanding to be a responsible citizen
transcendence
curiosity
beauty
and
The Mock Turtle went on. “We had the best of educations . . . Reeling and Writhing, of
Ambition, Distraction, Uglification, and Derision
course, to begin with, and then the different branches of Arithmetic—Ambition, Distraction, Uglification, and Derision.”
“I never heard of Uglification,” Alice ventured to say. “What is it?”
The Gryphon lifted up both its paws in surprise. “Never heard of uglifying!” it exclaimed. “You know what to beautify is, I suppose?”
“Yes,” said Alice, doubtfully: it means—to—make—anything—prettier.”
“Well, then,” the Gryphon went on, “if you don't know what to uglify is, you are a simpleton.”
Why should we care about mathematics?
play
Why should we care about mathematics?
job skills, needs of science and technology
essential understanding to be a responsible citizen
transcendence
curiosity
beauty
and
play
Why should we care about mathematics?
essential understanding to be a responsible citizen
transcendence
curiosity
beauty
and
1866-1946
"Statistical thinking will one day be as necessary for efficient citizenship as the ability to read and write."
Why should we care about mathematics?
Why should we care about mathematics?
Did you know that there are three kinds of statisticians — those that can count and those that can't.
Why should we care about mathematics?
50% of marriages end in divorce. Thus if you don't file for divorce, your wife will.
transcendence?
Why should we care about mathematics?
curiosity?
beauty?
play?
Why should we care about mathematics?
Garrett Lisi: A beautiful new theory of everything
Why should we care about mathematics?E8
248 dimensions
has
Discovered
between
1888
and
1890
Why should we care about mathematics?
Look at some of Chris Jordan’s work ...
is it beauty, play, transcendence, or is he just
Running the Numbers ...
2.3 million folded prison uniforms =
number of Americans incarcerated in 2005
Depicts one hundred million toothpicks, equal to the number of trees cut in the U.S. yearly to make the paper for junk mail.
Depicts 32,000 Barbies, equal to the number of elective breast augmentation surgeries performed monthly in the US in 2006.
Partial zoom
Detail at actual print size
Depicts 106,000 aluminum cans, the number used in the US every thirty seconds.
Partial zoom
Detail at actual print size
Why don’t students do better in mathematics?
5 misconceptions about math
(1) mathematics = computation
Why don’t students do better in mathematics?
5 misconceptions about math
(1) mathematics = computation
pattern recognition
a little magic ...
Year were you born
a little magic ...
a little magic ...
Year of a significant event in your life
a little magic ...
Your age
a little magic ...
Years that have passed since the significant event
Year were you born
a little magic ...
Years that have passed since the significant event
Your age
Year of a significant event in your life
Year were you born
a little magic ...
Years that have passed since the significant event
Your age
Year of a significant event in your life
++
Why don’t students do better in mathematics?
5 misconceptions about math
(2) it’s strictly hierarchical
Why don’t students do better in mathematics?
5 misconceptions about math
(2) it’s strictly hierarchical learning is networked
Why don’t students do better in mathematics?
5 misconceptions about math
(3) no place for storytelling
Why don’t students do better in mathematics?
5 misconceptions about math
contextualizes learning
(3) no place for storytelling
Why don’t students do better in mathematics?
5 misconceptions about math
(4) exclusivity: few people can understand math
Why don’t students do better in mathematics?
5 misconceptions about math
(4) exclusivity: few people can understand math
accessible to everyone
Why don’t students do better in mathematics?
(5) it’s a numbing discipline, lacking lustre or beauty
Why don’t students do better in mathematics?
(5) it’s a numbing discipline, lacking lustre or beauty
literacy?
Clarence Fisher, Globally Literate K12 Online Conference
Literacy is always changing ... with your location
geographically and in time. All definitions have
consistently had three components:
(1) Literacy = Comprehension
(2) Literacy = Production
(3) Literacy = Interactive
http://k12onlineconference.org/?p=50
Literacy: (noun) the
ability to read and write.
literacy: skills involved in using information to accomplish goals
David WarlickRedefining Literacy for the 21st Century
“If all your kids learn to do is read and write,
Is All Information Knowledge?
they won't be literate.”
Types of literacy
• text literacy (what's text?)
• information literacy
• technological literacy
• media literacy
• internet literacy (hypertext, validity of sources, reading links, site ownership)
• visual literacy (Photographs, cartoons, line drawings, diagrams, concept maps, ...)
• mathematical literacy
• and more ...
Types of literacy
Literacy
The ability to encode and decode information
The Language of Mathematics
Cdnuolt blveiee taht I cluod aulaclty uesdnatnrd waht I was rdanieg. The phaonmneal pweor of the hmuan mnid, aoccdrnig to a rscheearch at Cmabrigde Uinervtisy. It dn'seot mttaer in waht oredr the ltteers in a wrod are, the olny iprmoatnt tihng is taht the frist and lsat ltteer be in the rghit pclae. The rset can be a taotl mses and you can sitll raed it wouthit a porbelm.
Source: http://www.snopes.com/language/apocryph/cambridge.asp
The Language of Mathematics
Miittluvraae asilyans sattes an idtenossiy ctuoonr epilsle is the itternoiecsn of a panle pleralal to the xl-yapne and the sruacfe of a btiiarave nmarol dbttiisruein.
The Language of Mathematics
Miittluvraae asilyans sattes an idtenossiy ctuoonr epilsle is the itternoiecsn of a panle pleralal to the xl-yapne and the sruacfe of a btiiarave nmarol dbttiisruein.
Multivariate analysis states an isodensity contour ellipse is the intersection of a plane parallel to the xy-plane and the surface of a bivariate normal distribution.
Is numeracy a problem?
Does numeracy matter?
1997
Does Numeracy matter?
• Unemployment/low employment tied to poor numeracy rather than literacy
• poor numeracy + poor literacy = manual occupations.
• followed closely, not [by those] with poor literacy + competent numeracy, but [by those] with competent literacy + poor numeracy
• People without numeracy skills suffered worse disadvantage in employment than those with poor literacy skills alone. (--> school, jobs)
• One feature of the modern labour market is the relentless decline in unskilled and partly skilled occupations. Our case studies showed that people with poor
numeracy were in exactly these kinds of jobs.
Source: (Basic Skills Agency, UK 1997)
International Adult Literacy and Skills Survey
2003
Bermuda
Italy
Norway
Switzerland
United States
International Adult Literacy and Skills Survey
2003
Bermuda
Italy
Norway
Switzerland
United States
79.48% of all statistics are made up on the spot.
Surgeon General’s Warning:
International Adult Literacy and Skills Survey
• literacy and numeracy skills contribute to individuals’ economic and social well-being.
• 48% of adult Canadians aged 16 and over– perform below Level 3 on the literacy scales
• 55% of adult Canadians aged 16 and over– perform below Level 3 on the numeracy scales
• little change in Canadian literacy performance between 1994 and 2003. • Proficiency of Canadians, aged 16 to 65, in literacy, numeracy and problem
solving is clearly [positively] linked to their labour market outcomes.
• the evidence suggests that health issues and literacy issues intersect. • The hidden problem
Source: (Statistics Canada, 2003)
International Adult Literacy and Skills Survey
• literacy and numeracy skills contribute to individuals’ economic and social well-being.
• 48% of adult Canadians aged 16 and over– perform below Level 3 on the literacy scales
• 55% of adult Canadians aged 16 and over– perform below Level 3 on the numeracy scales
• little change in Canadian literacy performance between 1994 and 2003. • Proficiency of Canadians, aged 16 to 65, in literacy, numeracy and problem
solving is clearly [positively] linked to their labour market outcomes.
• the evidence suggests that health issues and literacy issues intersect. • The hidden problem
Source: (Statistics Canada, 2003)
i luv math
Two visions of learning
The Classic View and The Official Theory
learning is:• continual• effortless
• inconspicuous• boundless
• unpremeditated• independent of rewards
and punishment• based on self-image
• vicarious• never forgotten
• inhibited by testing• a social activity
• growth
learning is:• occasional• hard work• obvious• limited
• intentional• depends on rewards
and punishment• based on effort• individualistic
• easily forgotten• assured by testing
• an intellectual activity• memorization
I’m Matheus.
hi
We learn from the company
we keep
hi
What am I learning keeping this company?
What am I learning keeping this company?
What am I learning keeping this company?
What am I learning keeping this company?
What am I learning keeping this company?
What am I learning keeping this company?
What am I learning here?
Coffee anyone?
Ahhh …
Is numeracy a problem?
Is innumeracy a problem?
Gee Dubbya: Just how many are there in a Brazilian?
Kathy Cassidy’s Class
A Dollar A Second …
A Dollar A Second …
!
1000000sec
60sec=16666.66min
A Dollar A Second …
!
1000000sec
60sec=16666.66min
!
16666.66min
60min= 277.77hrs
A Dollar A Second …
!
1000000sec
60sec=16666.66min
!
16666.66min
60min= 277.77hrs
!
277.77hrs
24hrs=11.57days
A Dollar A Second …
!
1000000sec
60sec=16666.66min
!
16666.66min
60min= 277.77hrs
!
277.77hrs
24hrs=11.57days
!
1000000000sec
60sec=16666666.66min
A Dollar A Second …
!
1000000sec
60sec=16666.66min
!
16666.66min
60min= 277.77hrs
!
277.77hrs
24hrs=11.57days
!
1000000000sec
60sec=16666666.66min
!
16666666.66min
60min= 277777.77hrs
A Dollar A Second …
!
1000000sec
60sec=16666.66min
!
16666.66min
60min= 277.77hrs
!
277.77hrs
24hrs=11.57days
!
1000000000sec
60sec=16666666.66min
!
16666666.66min
60min= 277777.77hrs
!
277777.77hrs
24hrs=11574.07days
A Dollar A Second …
!
1000000sec
60sec=16666.66min
!
16666.66min
60min= 277.77hrs
!
277.77hrs
24hrs=11.57days
!
1000000000sec
60sec=16666666.66min
!
16666666.66min
60min= 277777.77hrs
!
277777.77hrs
24hrs=11574.07days
!
11574.07days
365days= 31.71years
The Mega Penny Project
Gambling bites into family funds
The Herald Sun, Saturday, February 3, 1996, p.5
VICTORIANS are using housekeeping money to finance an $89 million a week gambling habit …
Beware the pushy fish-eaterMEN who eat a lot of fish are driven by ambition and the desire for success, British researchers claim.
Seven in 10 men who frequently eat canned tuna. sardines, salmon, mackerel or kippers admit to being ambitious, andone in two rate themselves as more successful than others.
The study, commissioned by John West Foods, reveals they are also thin-skinned types, with only 5 per cent of regular fish-eaters saying they coped well with criticism compared with a quarter of the non-fish eaters.
Source: The Mercury, 7 May, 1991.
Source: http://www.bced.gov.bc.ca/irp/resdocs/
How is numeracy addressed in theBC Grades 8 to 12 mathematics curriculum?
An unusual incident …
LotteriesDefinition: a self imposed tax on
the innumerate.
Literacy in Math Class
Your Take Away Wiki
http://numeracy.wikispaces.com
thanks
Photo Credits015: Estrangedhttp://www.flickr.com/photos/wcouch/2199404769/
OEDhttp://www.flickr.com/photos/bryanloar/196903781/
MINDHUNTERShttp://www.flickr.com/photos/darknetportal/1204775147/
snowed inhttp://www.flickr.com/photos/broterham/106790226/
H. G. Wellshttp://en.wikipedia.org/wiki/Image:H_G_Wells_pre_1922.jpg
wellsberkley380http://www.flickr.com/photos/jlevar/2725958615/
i love mathshttp://www.flickr.com/photos/ariffjrs/1133398577/
Fill in the blankhttp://www.flickr.com/photos/cdm/51747860/
HELLS ANGELS 69http://www.flickr.com/photos/darknetportal/882839048/
Dundu Dole - Urban African Ballethttp://www.flickr.com/photos/marjorie/534451789/
IKBLC Group Study1http://www.flickr.com/photos/ubclibrary/2701350667/
Tommy Smith Youth Jazz Orchestrahttp://www.flickr.com/photos/nadworks/420309711/
final examhttp://www.flickr.com/photos/dcjohn/74907741/
Flat Stanley's meeting with Brazilian Soccerhttp://www.flickr.com/photos/beija-flor/14514351/
Natural Fractal Mosaichttp://www.flickr.com/photos/dkuropatwa/2912488625/
Running the Numbers by chris jordanhttp://www.flickr.com/photos/jjheiselman/2200566670/
And be true, what to dohttp://www.flickr.com/photos/beija-flor/2120674286/
Microsoft Company Picnic Division Champs!http://www.flickr.com/photos/brendyn/30762480/
E8_graphhttp://www.flickr.com/photos/jjheiselman/2200566670/
One Of These Buttons Will Get Me Out Of Herehttp://www.flickr.com/photos/cayusa/431036565/
Photo Credits (continued ...)watching and waiting (365.339)http://www.flickr.com/photos/splityarn/3003081525/
And be true, what to dohttp://www.flickr.com/photos/beija-flor/2120674286/
Empty coffee cuphttp://flickr.com/photos/urbanmkr/354843867/
portrait 8http://www.flickr.com/photos/minivanmafia/188108984/
Hm...http://www.flickr.com/photos/alexmuse/248817067/
«?», Robert Stadler!s question markhttp://www.flickr.com/photos/ogil/1507585665/
Chris learning to drivehttp://flickr.com/photos/willismonroe/129132936/
Max: Learning how to drivehttp://flickr.com/photos/moz/6682734/
Ginger Learns to drive a Deerehttp://flickr.com/photos/donkeylady/134536173/
Canadian 1 Dollar Billshttp://flickr.com/photos/dmuth/1315588078/
one pennyhttp://flickr.com/photos/aderowbotham/55733411/
Fish heads, fish heads, lovely, tasty fish headhttp://flickr.com/photos/raincitystudios/154277314/
Video Credits
Math Infomercialhttp://www.youtube.com/watch?v=t629YHtPDo8
Mathhttp://www.youtube.com/watch?v=du4idjyMyng
probability 0.0000001 %http://www.youtube.com/watch?v=C2L-25xncbo
Square one Billion is bighttp://www.youtube.com/watch?v=qOYf_1I4VBQ
mathhttp://flickr.com/photos/akash_k/125489887/
Hierarchical church leadershiphttp://flickr.com/photos/theabbott/870309562/
Rapt with the storytellerhttp://flickr.com/photos/heandfi/2479240973/
Lattetude Coffeehttp://flickr.com/photos/umairmohsin/304109861/
Odd man outhttp://flickr.com/photos/lisanorwood/1046416640
Bluehttp://flickr.com/photos/lisanorwood/1045562729
Magichttp://flickr.com/photos/bohman/174718774/
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