Slides from a presentation in support of a workshop for grades 9-12 math teachers at U.S. Grant High School in Oklahoma City, OK; November 2010.

1. web 2.0 pedagogy
What can
I do now?
Darren Kuropatwa
adifference.blogspot.com
U.S. Grant High School
Oklahoma City, November 2010

2. http://j.mp/usghs2010
Darren’s Workshops Wiki

3. how do you know what they know?

4. Three (practices and) principles

5. Three (practices and) principles

7. Teachers must engage studentsʼ preconceptions
(Principle 1)
Studentsʼ Errors and Misconceptions
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 =

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

9. 3
4

10. 3/4
3
4
3:4
75%
0.75
$0.75

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

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

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

14. 3/4
3
4
3:4
75%
0.75
$0.75

15. social
knowing
is never
finished.
in our heads
it’s between us
David Weinberger
Everything is Miscellaneous
knowledge isn’t

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

17. eror analysis

18. Find the error ...

19. community

20. community

23. x =
Three Pedagogical Principles
+1

24. 3 Instructional
Design Practices

27. Publish It

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

39. most talking is growing
Marcia L.Tate
Eliot teaching by flickr user yewenyi
http://www.flickr.com/photos/yewenyi/381552561/
The person doing the
the most dendrites.

40. Create Content That Educates

41. Teach It
Watch It Do It

42. principles
al

43. mind maps

45. Fibonacc
Tree

46. Geometry Melting
in the Back Lane

47. Day 6: Above my
desk

48. your turn

49. What’s hidden in
each of these logos?

50. flickred instruction

51. flickred
learning

52. marking up text: a mash-up
docs
FanFiction.net
unleash your imagination

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

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

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

59. Eric Clapton music: It’s in the way that you use it!

63. solution manuals

64. apcalc2008

65. 65
assignment
the
wiki solutions manual

66. poster projects

67. mapping project

71. presenting project work

72. 72
project
the
developing expert voices

73. DEVious

74. Watch and Learn

75. MITSOP

76. Agent 003.14

77. The Sequel to MITSOP

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

82. your turn

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

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

86. wade through galleries
of students’ thought

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

88. remember 1620?

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

90. http://k12onlineconference.org

92. thanks

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