Slides from a short talk with pre-service Middle Years Math teachers at Brandon University on December 1, 2009.

1. A Day In The Life
of a teacher teaching with technology
(from principle to practice x 3)
Darren Kuropatwa
MECY Sr Years ICT Consultant
Brandon University, December 1, 2009

2. My Prejudices
Why don’t students do
better in mathematics?
John Allen Paulos

3. Why should we care about mathematics?
job skills, needs of science
and technology

4. 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

5. Why should we care about mathematics?
curiosity
beauty
essential understanding to
play
be a responsible citizen
and transcendence

6. Why don’t students do better in mathematics?
5 misconceptions about math
(1) mathematics = computation

7. Why don’t students do better in mathematics?
5 misconceptions about math
(1) mathematics = computation
pattern recognition

8. Year were you born
a little magic ...

9. Year of a significant event in your life
a little magic ...

10. Your age
a little magic ...

11. Years that have passed since the significant event
a little magic ...

12. 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 ...

13. 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 ...

14. Why don’t students do better in mathematics?
5 misconceptions about math
(2) it’s strictly hierarchical

15. Why don’t students do better in mathematics?
5 misconceptions about math
(2) it’s strictly hierarchical learning is networked

16. Why don’t students do better in mathematics?
5 misconceptions about math
(3) no place for storytelling

17. Why don’t students do better in mathematics?
5 misconceptions about math
(3) no place for storytelling
contextualizes learning

18. Why don’t students do better in mathematics?
5 misconceptions about math
(4) exclusivity: few people can understand math

19. Why don’t students do better in mathematics?
5 misconceptions about math
(4) exclusivity: few people can understand math
accessible to
everyone

20. Why don’t students do better in mathematics?
(5) it’s a numbing discipline, lacking lustre or beauty

21. Why don’t students do better in mathematics?
(5) it’s a numbing discipline, lacking lustre or beauty

22. A Day In The Life
of a teacher teaching with technology
(from principle to practice x 3)
Darren Kuropatwa
http://adifference.blogspot.com

23. Alarm Rings

24. Wake Up

25. Time To Go

26. iPod Ready
for -35°C

27. iPod Ready
for 7°C

30. Steppin’ Out

31. Catchin’ the Bus

32. DMCI

33. My Class

34. Firing Up the SMARTboard

35. Workshop

36. Three principles

37. Studentsʼ Errors and Misconceptions
(Principle 1)
Based on Previous Learning
Students come to the classroom with conceptions of numbers grounded in their
whole-number learning that lead them astray in the world of rational numbers;
e.g. multiplying always makes numbers bigger.
x =
TEACHERS MUST ENGAGE STUDENTSʼ PRECONCEPTIONS

38. The Knowledge Network:
(Principle 2)
New Concepts and New Applications
UNDERSTANDING REQUIRES FACTUAL
KNOWLEDGE AND CONCEPTUAL FRAMEWORKS

39. (Principle 3)
Metacognition
A METACOGNITIVE APPROACH
ENABLES STUDENT SELF-MONITORING

40. Watch It. Do It.
practice #1

41. Teach It.
practice #1

42. Watch It. Do It. Teach It.
REVEALS STUDENTSʼ PRECONCEPTIONS
x =
practice #1

43. Watch It. Do It. Teach It.
BUILDS CONCEPTUAL AND SOCIAL NETWORKS
practice #1

44. Watch It. Do It. Teach It.
PROMOTES METACOGNITION
practice #1

45. Next Problem

46. Twitter
practice #2

47. practice #2

48. Lunch

49. School Day Ends

50. Slideshare.net
practice #2

51. My SlideSpace
practice #2

52. Transparency
practice #2

53. share everything
practice #2

54. Thinking
practice #2

55. Transparency & Sharing
REVEALS STUDENTSʼ PRECONCEPTIONS
x =
practice #2

56. Transparency & Sharing
BUILDS CONCEPTUAL AND SOCIAL NETWORKS
practice #2

57. Transparency & Sharing
PROMOTES METACOGNITION
practice #2

58. Leaving

59. Search Engine & Spark
Spark
http://www.cbc.ca/searchengine/
http://www.cbc.ca/spark

60. The Other End of the Street

61. Home Again,
Home Again,
Jiggity Jig!

62. Dinner, Magic, Bath, Compass & Bed

63. Class Blogs
practice #3

64. Learning is a Conversation
practice #3

65. 65

66. 66

67. 67

68. 68

69. Dale’s Cone
of Experience

70. Create Content That Educates
70

71. the
flickr®
assignment
71

72. the
wiki solutions manual
assignment
72

73. the
developing expert voices
project
73

74. Learning Requires Reflection
practice #3

75. Learning Requires Reflection
practice #3

76. (Principle 1) Teachersʼ Errors and Misconceptions
Based on Previous Learning
x =
TEACHERS MUST ENGAGE THEIR OWN PRECONCEPTIONS

77. (Principle 2) Build Knowledge Networks
CONCEPTUAL AND SOCIAL NETWORKS

78. (Principle 3)
Metacognition
ACTIVELY AND TRANSPARENTLY
REFLECT ON YOUR TEACHING

79. Catch Up on My Reading
http://reader.google.com

80. K12 Online Conference
http://k12onlineconference.org

81. questions
“learning is a
conversation”

82. Credits John Allen Paulos
http://en.wikipedia.org/wiki/File:John_Allen_Paulos.JPG
220 the thinker
http://www.flickr.com/photos/jeope/249159137/ http://www.flickr.com/photos/mattwright/526492646/
How Students Learn reflection
http://books.nap.edu/catalog.php?record_id=10126 http://flickr.com/photos/barnett/206994953/
Pewter Letters Numbers thoughtful
http://flickr.com/photos/lwr/sets/72157594512642436/ http://flickr.com/photos/ronlayters/440835731/
This body is networked Transparency
http://flickr.com/photos/funksoup/403990660/ http://flickr.com/photos/lightmash/2393645062/
The Thinker Sharing
http://flickr.com/photos/renny1967/1509761982/ http://flickr.com/photos/furiousgeorge81/177926979/
DNA Girl Talk
http://www.flickr.com/photos/ghutchis/124782978/ http://flickr.com/photos/e06158/2272739708/
Question mark Big Screen Reflection
http://www.flickr.com/photos/marcobellucci/3534516458/ http://www.flickr.com/photos/benward/181425257/
Mira reading the Griffiths Quantum Text start of the mobile content era
http://flickr.com/photos/ailric/390832774/ http://www.flickr.com/photos/lynetter/329280898
workstation all other images (cc) dkuropatwa
http://www.flickr.com/photos/striatic/241843728/ http://www.flickr.com/photos/dkuropatwa/tags/adayinthelife/
My Class Blogs 2008-2009
AP Calculus AB (2008-2009) Applied Math 20S (Fall 2008)
http://apcalc2008.blogspot.com http://am20sf08.blogspot.com
Applied Math 40S (Winter 2009) Pre-Cal 20S (Fall 2008)
http://am40sw09.blogspot.com http://pc20sf08.blogspot.com
Pre-Cal 40S (Winter 2009) Pre-Cal 30S (Fall 2008)
http://pc40sw09.blogspot.com http://pc30sf08.blogspot.com

83. thanks
Darren Kuropatwa
http://adifference.blogspot.com