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What can
   I do now?
 web 2.0 pedagogy




Darren Kuropatwa
adifference.blogspot.com
Saskatchewan Understands Math Conference
Saskatoon, 6 May 2011
Darren’s Workshops Wiki

       http://j.mp/sumath2011
how do you know   what they know?
how do you know   what they know?
Three (practices and) principles
Three (practices and) principles
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
Understanding requires factual knowledge
                                and conceptual frameworks




                The Knowledge Network:
(Principle 2)   New Concepts and New Applications
3
4
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                  75%
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
Principle 3

Learning is facilitated through the
use of metacognitive strategies ...




     A metacognitive approach
     enables student self-monitoring
eror analysis
Find the error ...
community
community
+1
Three Pedagogical Principles


                x    =
mind maps
Fibonacc
   Tree
Ge
     om
in         etr
     the      yM
           Ba     elt
              ck     ing
                 La
                    ne
your turn
Just Ta ste the
 Pos  sibilities


Lick / Dan Barak / CC BY-NC-ND
What’s hidden in
             each of these logos?




source: http://j.mp/avE2zj
Children’s Book, Editorial




London Symphony Orchestra
The Full
                   Meal Deal


Man Nomming on Burger / Mr. T in DC / CC BY-ND
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/
solution manuals
apcalc2008
the
      wiki solutions manual
       assignment




                              35
The
Blogfather
    of mathematics
The
Blogfather
    of mathematics
The
Blogfather
    of mathematics
The
Blogfather
    of mathematics
The
Blogfather
The Learning Equations of
Dr. Anthony Muhammed

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

           I(c) + T(c) = L(v)
           I(v) + T(c) = L(v)
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)
Slideshare.net
BOB
The
Blogfather
    of mathematics
The
Blogfather
    of mathematics
The
Blogfather
    of mathematics
The
Blogfather
    of mathematics
Video


Are you ready??? by flickr user ssh
http://www.flickr.com/photos/ssh/12638218/
Watch It   Do It




Teach It
Choose Your Own Path
 Mathematics Stories




              Fork in the Road by flickr user Friends of San Jacinto
              http://www.flickr.com/photos/friendsofsanjacinto/4479943434/
Group Annotation Project




                           Group Annotation Project: half Lives and Decay
                           http://www.youtube.com/watch?v=xg0trSjx4AM
presenting project work
the
      developing expert voices
       project




                                 74
DEVious
Watch and Learn
Watch and Learn
MITSOP
MITSOP
Agent 003.14
Agent 003.14
The Sequel to MITSOP
The Sequel to MITSOP
More about the back story to this idea ...
al
             on s
          ti
        uc tice
  I   tr ac
    ns Pr
3
  es ign
D
wade throu gh galleries
 of stude nts’ thought
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/
t
Pu blish I
Create It
“ A computer is an instrument
whose music is composed of ideas.
                            Alan Kay
“ A computer is an instrument
whose music is composed of ideas.
                            Alan Kay
rg
http://k12onlineconference.o
your turn
thanks
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/

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What Can I Do Now? (web 2.0 pedagogy) v4

  • 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?
  • 7.
  • 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
  • 22.
  • 23.
  • 26. Fibonacc Tree
  • 27. Ge om in etr the yM Ba elt ck ing La ne
  • 28.
  • 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
  • 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/
  • 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
  • 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)
  • 47.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.
  • 57.
  • 58.
  • 59.
  • 60. BOB
  • 61. The Blogfather of mathematics
  • 62. The Blogfather of mathematics
  • 63. The Blogfather of mathematics
  • 64. The Blogfather of mathematics
  • 65.
  • 66.
  • 67.
  • 68. Video Are you ready??? by flickr user ssh http://www.flickr.com/photos/ssh/12638218/
  • 69. Watch It Do It Teach It
  • 70.
  • 71.
  • 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
  • 74.
  • 75.
  • 76.
  • 78. the developing expert voices project 74
  • 86. The Sequel to MITSOP
  • 87. The Sequel to MITSOP
  • 88.
  • 89.
  • 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/
  • 96.
  • 97.
  • 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
  • 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/