Slides from a presentation in support of a workshop for math teachers at the SUM (Saskatchewan Understands Math) Conference in Saskatoon, SK; May 2011.

1. What can
I do now?
web 2.0 pedagogy
Darren Kuropatwa
adifference.blogspot.com
Saskatchewan Understands Math Conference
Saskatoon, 6 May 2011

2. Darren’s Workshops Wiki
http://j.mp/sumath2011

3. how do you know what they know?

4. 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
$0.75
75%

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

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

15. 0.75
3/4
3:4
3
4
$0.75
75%

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. mind maps

26. Fibonacc
Tree

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

29. your turn

30. Just Ta ste the
Pos sibilities
Lick / Dan Barak / CC BY-NC-ND

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

32. Children’s Book, Editorial
London Symphony Orchestra

33. The Full
Meal Deal
Man Nomming on Burger / Mr. T in DC / CC BY-ND

34. Take a picture of the math you see in the world
around you right now. Maybe take a walk to find it.
Then email it to:
the62girl@photos.flickr.com
Through the Lens by flickr user davidz
http://www.flickr.com/photos/davidz/822970543/

35. solution manuals

36. apcalc2008

37. the
wiki solutions manual
assignment
35

38. The
Blogfather
of mathematics

39. The
Blogfather
of mathematics

40. The
Blogfather
of mathematics

41. The
Blogfather
of mathematics

42. The
Blogfather

43. The Learning Equations of
Dr. Anthony Muhammed
I(c) + T(c) = L(v)

44. The Learning Equations of
Dr. Anthony Muhammed
I(c) + T(c) = L(v)
I(v) + T(c) = L(v)

45. The Learning Equations of
Dr. Anthony Muhammed
I(c) + T(c) = L(v)
I(v) + T(c) = L(v)
I(v) + T(v) = L(c)

46. Slideshare.net

60. BOB

61. The
Blogfather
of mathematics

62. The
Blogfather
of mathematics

63. The
Blogfather
of mathematics

64. The
Blogfather
of mathematics

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

69. Watch It Do It
Teach It

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

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

77. presenting project work

78. the
developing expert voices
project
74

79. DEVious

80. Watch and Learn

81. Watch and Learn

82. MITSOP

83. MITSOP

84. Agent 003.14

85. Agent 003.14

86. The Sequel to MITSOP

87. The Sequel to MITSOP

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

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

92. wade throu gh galleries
of stude nts’ thought

93. It is no longer enough to do
powerful work if no one sees it.
Chris Lehmann
untitled by flickr user ArcaHeradel
http://www.flickr.com/photos/heradel/3257235694/

94. t
Pu blish I

95. Create It

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

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

100. rg
http://k12onlineconference.o

101. your turn

102. thanks

103. 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/