Slides from a presentation in support of a workshop for grades 5-12 math teachers at Charlottesville City Schools in Charlottesville, VA; 18 August 2010.

1. What can
I do now?
web 2.0 pedagogy
Darren Kuropatwa
adifference.blogspot.com
Charlottesville City Schools
Charlottesville, 18 August 2010

2. Darren’s Workshops Wiki
http://j.mp/dkccs2010

3. how do you know what they know?

5. Three (practices and) principles

6. Three (practices and) principles

8. 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

9. Understanding requires factual knowledge
and conceptual frameworks
The Knowledge Network:
(Principle 2) New Concepts and New Applications

10. 3
4

11. 0.75
3/4
3:4
3
4
$0.75
75%

12. 0.75
3/4
3:4
3
4
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75%

13. 0.75
3/4
3:4
3
4
$0.75
75%

14. 0.75
3/4
3:4
3
4
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15. 0.75
3/4
3:4
3
4
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16. kn owl edge isn’t s
in our head
een us
’s b etw
it
social
knowing
is never
David Weinberger
finished. Everything is Miscellaneous

17. Principle 3
Learning is facilitated through the
use of metacognitive strategies ...
A metacognitive approach
enables student self-monitoring

18. eror analysis

19. Find the error ...

20. community

21. community

24. +1
Three Pedagogical Principles
x =

25. al
on s
ti
uc tice
I tr ac
ns Pr
3
es ign
D

27. t
Pu blish I

28. why publish student work?

29. why publish student work?

30. Create It

31. 30

32. 31

33. 32

34. 33

37. (a riff on) Edgar Dale’s
Cone of Experience

38. learning
is talking.
Teaching is
listening,
Jer & Mario by flickr user johnnybelmont
quote source: unknown http://www.flickr.com/photos/johndavey/3334454519/

39. Create Content That Educates

40. mind maps

42. Fibonacc
Tree

43. Ge
om
in etr
the yM
Ba elt
ck ing
La
ne

44. Day 6: Abo ve my
desk

45. your turn

46. What’s hidden in
each of these logos?
source: http://j.mp/avE2zj

47. flickred instruction

48. flickred
learning

49. Video
Are you ready??? by flickr user ssh
http://www.flickr.com/photos/ssh/12638218/

50. Watch It Do It
Teach It

53. Choose Your Own Path
Mathematics Stories
Fork in the Road by flickr user Friends of San Jacinto
http://www.flickr.com/photos/friendsofsanjacinto/4479943434/

54. Group Annotation Project
Group Annotation Project: half Lives and Decay
http://www.youtube.com/watch?v=xg0trSjx4AM

58. solution manuals

59. apcalc2008

60. the
wiki solutions manual
assignment
59

61. presenting project work

62. the
developing expert voices
project
61

63. DEVious

64. Watch and Learn

65. MITSOP

66. Agent 003.14

67. The Sequel to MITSOP

70. More about the back story to this idea ...

71. your turn

73. “ A computer is an instrument
whose music is composed of ideas.
Alan Kay

74. “ A computer is an instrument
whose music is composed of ideas.
Alan Kay

75. wade throu gh galleries
of stude nts’ thought

76. Good things happen when you publish their work ...

77. remember 1620?

78. you’ll know what they
know when they create
content that educates

79. rg
http://k12onlineconference.o

80. thanks

81. Credits
Lost in Thought
http://www.flickr.com/photos/johnbolland/1544108261/
How Students Learn
http://books.nap.edu/catalog.php?record_id=9853
UF Norman Hall Desks Classroom by flickr user cdsessums
http://www.flickr.com/photos/csessums/4389122037/
DAI Gallery
http://flickr.com/photos/herzogbr/1227648062/
Pewter Letters Numbers
http://flickr.com/photos/lwr/sets/72157594512642436/
published me
http://flickr.com/photos/hi-phi/329004580/
This body is networked
http://flickr.com/photos/funksoup/403990660/
Magic is true!
http://flickr.com/photos/7933170@N03/2631820657/
Lost in Thought
http://www.flickr.com/photos/johnbolland/1544108261/
Mind Mapping
http://flickr.com/photos/sirwiseowl/2101661645/
My version of a quadratic !
http://flickr.com/photos/40256716@N00/316074893/
book shelf project 2 ~ striatic {notes}
http://flickr.com/photos/striatic/730978/
Video Credits
Obligatory Wiki Photo
http://flickr.com/photos/cogdog/19490596/
dsc006647
http://flickr.com/photos/49405310@N00/24167123/ 1620
http://www.youtube.com/watch?v=C9mSspoCv7Q
High School "Games" Projects
http://flickr.com/photos/mspatt/2367994924/ PS22 Chorus “Landslide”
Day One http://www.youtube.com/watch?v=f2p5augniQA
http://www.flickr.com/photos/mbshane/3158001015/
Emergence: Create
your turn ;p http://www.youtube.com/watch?v=A3eIXlJvKNs
http://flickr.com/photos/mariachily/2174723906/