Numeracy Across the Curriculum v2.0

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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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Numeracy Across the Curriculum v2.0

  1. 1. Sargent Park School November 7, 2008 Numeracy Across the Curriculum or ... I read the news today. Oh boy! Darren Kuropatwa Dept. Head Mathematics Daniel McIntyre Collegiate Institute
  2. 2. Why should we care about mathematics?
  3. 3. Why should we care about mathematics? job skills, needs of science and technology
  4. 4. Why should we care about mathematics? job skills, needs of science and technology essential understanding to be a responsible citizen
  5. 5. Why should we care about mathematics? job skills, needs of science and technology curiosity beauty essential understanding to play be a responsible citizen and transcendence
  6. 6. Why should we care about mathematics? Ambition, Distraction, Uglification, and Derision The Mock Turtle went on. “We had the best of educations . . . Reeling and Writhing, of 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.”
  7. 7. Why should we care about mathematics? job skills, needs of science and technology curiosity beauty essential understanding to play be a responsible citizen and transcendence
  8. 8. Why should we care about mathematics? curiosity beauty essential understanding to play be a responsible citizen and transcendence
  9. 9. Why should we care about mathematics? quot;Statistical thinking will one day be as necessary for efficient citizenship as the ability to read and write.quot; 1866-1946
  10. 10. 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.
  11. 11. Why should we care about mathematics? 50% of marriages end in divorce. Thus if you don't file for divorce, your wife will.
  12. 12. Why should we care about mathematics? curiosity? beauty? play? transcendence?
  13. 13. Why should we care about mathematics? Garrett Lisi: A beautiful new theory of everything
  14. 14. Why should we care about mathematics? E8 has 248 dimensions Discovered between 1888 and 1890
  15. 15. 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
  16. 16. Depicts one hundred million toothpicks, equal to the number of trees cut in the U.S. yearly to make the paper for junk mail.
  17. 17. Depicts 32,000 Barbies, equal to the number of elective breast augmentation surgeries performed monthly in the US in 2006.
  18. 18. Partial zoom
  19. 19. Detail at actual print size
  20. 20. Depicts 106,000 aluminum cans, the number used in the US every thirty seconds.
  21. 21. Partial zoom
  22. 22. Detail at actual print size
  23. 23. Why don’t students do better in mathematics? 5 misconceptions about math (1) mathematics = computation
  24. 24. Why don’t students do better in mathematics? 5 misconceptions about math (1) mathematics = computation pattern recognition
  25. 25. a little magic ...
  26. 26. Year were you born a little magic ...
  27. 27. Year of a significant event in your life a little magic ...
  28. 28. Your age a little magic ...
  29. 29. Years that have passed since the significant event a little magic ...
  30. 30. Year were you born Year of a significant event in your life Your age Years that have passed since the significant event a little magic ...
  31. 31. Year were you born + Year of a significant event in your life Your age + Years that have passed since the significant event a little magic ...
  32. 32. Why don’t students do better in mathematics? 5 misconceptions about math (2) it’s strictly hierarchical
  33. 33. Why don’t students do better in mathematics? 5 misconceptions about math (2) it’s strictly hierarchical learning is networked
  34. 34. Why don’t students do better in mathematics? 5 misconceptions about math (3) no place for storytelling
  35. 35. Why don’t students do better in mathematics? 5 misconceptions about math (3) no place for storytelling contextualizes learning
  36. 36. Why don’t students do better in mathematics? 5 misconceptions about math (4) exclusivity: few people can understand math
  37. 37. Why don’t students do better in mathematics? 5 misconceptions about math (4) exclusivity: few people can understand math accessible to everyone
  38. 38. Why don’t students do better in mathematics? (5) it’s a numbing discipline, lacking lustre or beauty
  39. 39. Why don’t students do better in mathematics? (5) it’s a numbing discipline, lacking lustre or beauty
  40. 40. literacy?
  41. 41. 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
  42. 42. Literacy: (noun) the ability to read and write.
  43. 43. David Warlick Redefining Literacy for the 21st Century “If all your kids learn to do is read and write, they won't be literate.” Is All Information Knowledge? literacy: skills involved in using information to accomplish goals
  44. 44. 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 ...
  45. 45. Types of literacy
  46. 46. The ability to encode and decode information Literacy
  47. 47. 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
  48. 48. 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.
  49. 49. 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.
  50. 50. Is numeracy a problem?
  51. 51. Does numeracy matter? 1997
  52. 52. 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)
  53. 53. International Adult Literacy and Skills Survey 2003 Bermuda United States Italy Switzerland Norway
  54. 54. International Adult Literacy and Skills Survey 2003 Bermuda United States Italy Switzerland Norway Surgeon General’s Warning: 79.48% of all statistics are made up on the spot.
  55. 55. 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)
  56. 56. 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)
  57. 57. i luv math
  58. 58. Two visions of learning
  59. 59. The Classic View and The Official Theory learning is: learning is: • continual • occasional • effortless • hard work • inconspicuous • obvious • boundless • limited • unpremeditated • intentional • independent of rewards • depends on rewards and punishment and punishment • based on self-image • based on effort • vicarious • individualistic • never forgotten • easily forgotten • inhibited by testing • assured by testing • a social activity • an intellectual activity • growth • memorization
  60. 60. I’m Matheus.
  61. 61. hi
  62. 62. We learn from the company we keep hi
  63. 63. What am I learning keeping this company?
  64. 64. What am I learning keeping this company?
  65. 65. What am I learning keeping this company?
  66. 66. What am I learning keeping this company?
  67. 67. What am I learning keeping this company?
  68. 68. What am I learning keeping this company?
  69. 69. What am I learning here?
  70. 70. Coffee anyone?
  71. 71. Ahhh …
  72. 72. Is numeracy a problem?
  73. 73. Is innumeracy a problem?
  74. 74. Gee Dubbya: Just how many are there in a Brazilian?
  75. 75. Kathy Cassidy’s Class
  76. 76. A Dollar A Second …
  77. 77. A Dollar A Second … 1000000sec =16666.66 min 60sec !
  78. 78. A Dollar A Second … 1000000sec =16666.66 min 60sec 16666.66min = 277.77hrs 60min ! !
  79. 79. A Dollar A Second … 1000000sec =16666.66 min 60sec 16666.66min = 277.77hrs 60min ! 277.77hrs =11.57days ! 24hrs !
  80. 80. A Dollar A Second … 1000000sec 1000000000sec =16666.66 min =16666666.66 min 60sec 60sec 16666.66min = 277.77hrs 60min ! ! 277.77hrs =11.57days ! 24hrs !
  81. 81. A Dollar A Second … 1000000sec 1000000000sec =16666.66 min =16666666.66 min 60sec 60sec 16666.66min 16666666.66min = 277.77hrs = 277777.77hrs 60min 60 min ! ! 277.77hrs =11.57days ! 24hrs ! !
  82. 82. A Dollar A Second … 1000000sec 1000000000sec =16666.66 min =16666666.66 min 60sec 60sec 16666.66min 16666666.66min = 277.77hrs = 277777.77hrs 60min 60 min ! ! 277.77hrs 277777.77hrs =11.57days =11574.07days ! 24hrs ! 24hrs ! !
  83. 83. A Dollar A Second … 1000000sec 1000000000sec =16666.66 min =16666666.66 min 60sec 60sec 16666.66min 16666666.66min = 277.77hrs = 277777.77hrs 60min 60 min ! ! 277.77hrs 277777.77hrs =11.57days =11574.07days ! 24hrs ! 24hrs 11574.07days = 31.71years ! ! 365days
  84. 84. The Mega Penny Project
  85. 85. Gambling bites into family funds VICTORIANS are using housekeeping money to finance an $89 million a week gambling habit … The Herald Sun, Saturday, February 3, 1996, p.5
  86. 86. Beware the pushy fish-eater MEN 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, and one 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.
  87. 87. Source: http://www.bced.gov.bc.ca/irp/resdocs/
  88. 88. How is numeracy addressed in the BC Grades 8 to 12 mathematics curriculum?
  89. 89. An unusual incident …
  90. 90. Lotteries Definition: a self imposed tax on the innumerate.
  91. 91. Literacy in Math Class
  92. 92. Your Take Away Wiki http://numeracy.wikispaces.com
  93. 93. thanks
  94. 94. Photo Credits 015: Estranged Flat Stanley's meeting with Brazilian Soccer http://www.flickr.com/photos/wcouch/2199404769/ http://www.flickr.com/photos/beija-flor/14514351/ OED HELLS ANGELS 69 http://www.flickr.com/photos/bryanloar/196903781/ http://www.flickr.com/photos/darknetportal/882839048/ MINDHUNTERS Dundu Dole - Urban African Ballet http://www.flickr.com/photos/darknetportal/1204775147/ http://www.flickr.com/photos/marjorie/534451789/ IKBLC Group Study1 snowed in http://www.flickr.com/photos/ubclibrary/2701350667/ http://www.flickr.com/photos/broterham/106790226/ Tommy Smith Youth Jazz Orchestra H. G. Wells http://en.wikipedia.org/wiki/Image:H_G_Wells_pre_1922.jpg http://www.flickr.com/photos/nadworks/420309711/ wellsberkley380 final exam http://www.flickr.com/photos/jlevar/2725958615/ http://www.flickr.com/photos/dcjohn/74907741/ Natural Fractal Mosaic i love maths http://www.flickr.com/photos/dkuropatwa/2912488625/ http://www.flickr.com/photos/ariffjrs/1133398577/ E8_graph Fill in the blank http://www.flickr.com/photos/jjheiselman/2200566670/ http://www.flickr.com/photos/cdm/51747860/ Running the Numbers by chris jordan And be true, what to do http://www.flickr.com/photos/jjheiselman/2200566670/ http://www.flickr.com/photos/beija-flor/2120674286/ Microsoft Company Picnic Division Champs! One Of These Buttons Will Get Me Out Of Here http://www.flickr.com/photos/brendyn/30762480/ http://www.flickr.com/photos/cayusa/431036565/
  95. 95. ht Empty coffee cup Photo Credits (continued ...) http://flickr.com/photos/urbanmkr/354843867/ watching and waiting (365.339) math http://www.flickr.com/photos/splityarn/3003081525/ http://flickr.com/photos/akash_k/125489887/ portrait 8 Hierarchical church leadership http://www.flickr.com/photos/minivanmafia/188108984/ http://flickr.com/photos/theabbott/870309562/ Hm... Rapt with the storyteller http://www.flickr.com/photos/alexmuse/248817067/ http://flickr.com/photos/heandfi/2479240973/ «?», Robert Stadler!s question mark Odd man out http://www.flickr.com/photos/ogil/1507585665/ http://flickr.com/photos/lisanorwood/1046416640 Chris learning to drive Blue http://flickr.com/photos/willismonroe/129132936/ http://flickr.com/photos/lisanorwood/1045562729 Max: Learning how to drive Magic http://flickr.com/photos/moz/6682734/ http://flickr.com/photos/bohman/174718774/ Ginger Learns to drive a Deere http://flickr.com/photos/donkeylady/134536173/ Video Credits Canadian 1 Dollar Bills Math Infomercial http://flickr.com/photos/dmuth/1315588078/ http://www.youtube.com/watch?v=t629YHtPDo8 one penny Math http://flickr.com/photos/aderowbotham/55733411/ http://www.youtube.com/watch?v=du4idjyMyng Fish heads, fish heads, lovely, tasty fish head probability 0.0000001 % http://flickr.com/photos/raincitystudios/154277314/ http://www.youtube.com/watch?v=C2L-25xncbo Lattetude Coffee Square one Billion is big http://flickr.com/photos/umairmohsin/304109861/ http://www.youtube.com/watch?v=qOYf_1I4VBQ

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