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A Day In The Life
of a teacher teaching with technology
        (from principle to practice x 3)

            Darren Kuropatwa
         http://adifference.blogspot.com
My Prejudices




 Why don’t students do
 better in mathematics?


                          John Allen Paulos
Why should we care about mathematics?

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




                               curiosity

                                 beauty
essential understanding to
                                   play
 be a responsible citizen
                                    and transcendence
Why don’t students do better in mathematics?
                        5 misconceptions about math




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




(1) mathematics = computation
       pattern recognition
Year were you born




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




       a little magic ...
Your age




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


             a little magic ...
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 ...
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 ...
Why don’t students do better in mathematics?
                        5 misconceptions about math

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

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

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

  (3) no place for storytelling




                 contextualizes learning
Why don’t students do better in mathematics?
                        5 misconceptions about math

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

  (4) exclusivity: few people can understand math

         accessible to
           everyone
Why don’t students do better in mathematics?

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

   (5) it’s a numbing discipline, lacking lustre or beauty
A Day In The Life
of a teacher teaching with technology
        (from principle to practice x 3)

            Darren Kuropatwa
         http://adifference.blogspot.com
Alarm Rings
Wake Up
Time To Go
iPod Ready
 for -35°C
iPod Ready
 for 7°C
Steppin’ Out
Catchin’ the Bus
DMCI
My Class
Firing Up the SMARTboard
Workshop
Three 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
The Knowledge Network:
(Principle 2)
                    New Concepts and New Applications
                   UNDERSTANDING REQUIRES FACTUAL
                KNOWLEDGE AND CONCEPTUAL FRAMEWORKS
(Principle 3)
   Metacognition




A METACOGNITIVE APPROACH
ENABLES STUDENT SELF-MONITORING
Watch It. Do It.




practice #1
Teach It.




practice #1
Watch It. Do It. Teach It.
        REVEALS STUDENTSʼ PRECONCEPTIONS




              x             =

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




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




practice #1
Next Problem
Twitter




practice #2
practice #2
Lunch
School Day Ends
Slideshare.net




practice #2
My SlideSpace




practice #2
Transparency




practice #2
share everything




practice #2
Thinking




practice #2
Transparency & Sharing
     REVEALS STUDENTSʼ PRECONCEPTIONS




          x               =

practice #2
Transparency & Sharing
   BUILDS CONCEPTUAL AND SOCIAL NETWORKS




practice #2
Transparency & Sharing
              PROMOTES METACOGNITION




practice #2
Leaving
Search Engine & Spark




                                  Spark

http://www.cbc.ca/searchengine/




                                  http://www.cbc.ca/spark
The Other End of the Street
Home Again,
Home Again,
Jiggity Jig!
Dinner, Magic, Bath, Compass & Bed
Class Blogs




practice #3
Learning is a Conversation




practice #3
65
66
67
68
Dale’s Cone
of Experience
Create Content That Educates




                               70
the
      flickr®
        assignment




                     71
the
      wiki solutions manual
       assignment




                              72
the
      developing expert voices
       project




                                 73
Learning Requires Reflection




practice #3
Learning Requires Reflection




practice #3
(Principle 1)     Teachersʼ Errors and Misconceptions
                  Based on Previous Learning




                   x                     =
                TEACHERS MUST ENGAGE THEIR OWN PRECONCEPTIONS
(Principle 2)       Build Knowledge Networks

                CONCEPTUAL AND SOCIAL NETWORKS
(Principle 3)
   Metacognition



   ACTIVELY AND TRANSPARENTLY
   REFLECT ON YOUR TEACHING
Catch Up on My Reading




      http://reader.google.com
K12 Online Conference




    http://k12onlineconference.org
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://flickr.com/photos/lwr/12364944/   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
thanks
   Darren Kuropatwa
http://adifference.blogspot.com

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5 Misconceptions About Math

  • 1. A Day In The Life of a teacher teaching with technology (from principle to practice x 3) Darren Kuropatwa http://adifference.blogspot.com
  • 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
  • 26. iPod Ready for -35°C
  • 28.
  • 29.
  • 32. DMCI
  • 34. Firing Up the SMARTboard
  • 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
  • 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
  • 48. Lunch
  • 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
  • 59. Search Engine & Spark Spark http://www.cbc.ca/searchengine/ http://www.cbc.ca/spark
  • 60. The Other End of the Street
  • 62. Dinner, Magic, Bath, Compass & Bed
  • 64. Learning is a Conversation practice #3
  • 65. 65
  • 66. 66
  • 67. 67
  • 68. 68
  • 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
  • 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.
  • 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://flickr.com/photos/lwr/12364944/ 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