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for Teaching Mathematics
Open
An
Pedagogy
Darren Kuropatwa
SJSD Curriculum Coordinator
Riding The Wave Conference
Gimli, May 2015
flickr photo by Thibault Le Mer | Photography http://flickr.com/photos/
thibault_lemer_pics/14990594447 shared under a Creative Commons (BY-ND) license
The Parable of The Road
flickr photo by kevbo1983 http://flickr.com/photos/kevinwhite/1035465020
shared under a Creative Commons (BY-NC-ND) license
The Parable of The Road
The Parable of The Road
flickr photo by archangel 12 http://flickr.com/photos/
archangel12/6775428854 shared under a Creative Commons (BY) license
flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license
The Parable of The Road
Learning
flickr photo by liza31337 http://flickr.com/photos/lizadaly/
2944376209 shared under a Creative Commons (BY) license
making connections
debugging
flickr photo by mikemol http://flickr.com/photos/28208534@N07/4047355843 shared under a Creative Commons (BY) license
Try playing with the
sliders in the face I
drew to change this
fellow's expression.
j.mp/desmanface
The Parable of The Road
flickr photo by archangel 12 http://flickr.com/photos/
archangel12/6775428854 shared under a Creative Commons (BY) license
coverage
flickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/
1795849440 shared under a Creative Commons (BY-NC-ND) license
stepsof learning
Influences And Effect Sizes
Related To Student Achievement
With a Cohen's d of 0.09, 54% of the treatment group will be above the mean of the control group (Cohen's U3), 96%
of the two groups will overlap, and there is a 53% chance that a person picked at random from the treatment group
will have a higher score than a person picked at random from the control group (probability of superiority)
Teacher Subject Matter Knowledge: 0.09
coverage
practice
flickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/
1795849440 shared under a Creative Commons (BY-NC-ND) license
stepsof learning
Influences And Effect Sizes
Related To Student Achievement
Reciprocal Teaching: 0.74
Feedback: 0.73
With a Cohen's d of 0.74, 77% of the treatment group will be above the mean of the control group (Cohen's U3), 71%
of the two groups will overlap, and there is a 70% chance that a person picked at random from the treatment group
will have a higher score than a person picked at random from the control group (probability of superiority).
coverage
practice
insight
flickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/
1795849440 shared under a Creative Commons (BY-NC-ND) license
stepsof learning
?
solution manuals
19
assignment
the
wiki solutions manual
flickr photo by alsojonathan http://flickr.com/photos/
jono2k5/472739449 shared under a Creative Commons (BY) license
text books
flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license
A non-disposable assignment
Students will revise and remix the core
instructional materials of the class (which are
OER) with other OER and with their own original
work in order to create a small tutorial (in any
medium) on a topic that students in the course
generally struggle with. They will then use their
tutorial to teach the topic to one of their peers.
The best tutorials will be integrated into the
official OER collection or open textbook for use
by other students starting next semester.
via David Wiley
flickr photo by Team Lane http://flickr.com/photos/colleen-lane/
4399378949 shared under a Creative Commons (BY-ND) license
flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license
The University of British Columbia's class SPAN312 ("Murder, Madness, and
Mayhem: Latin American Literature in Translation") contributed to Wikipedia
during Spring 2008. Our collective goals were to bring a selection of articles on
Latin American literature to featured article status (or as near as possible). By
project's end, we had contributed three featured articles and eight good articles.
None of these articles was a good article at the outset; two did not even exist.
‘‘
Asking "Does using a wiki improve learning?"
is like asking "Does using a pencil improve writing?"
High School Sucks / Bekah / CC BY-NC 2.0
flickr photo by furiousgeorge81 http://flickr.com/photos/furiousgeorge81/177926979
shared under a Creative Commons (BY-NC-ND) license
A computer is an instrument
whose music is composed of ideas.
“ Alan Kay
flickr photo by xlibber http://flickr.com/photos/xlibber/3423766012
shared under a Creative Commons (BY) license
now go get your
planes in the air ...
flickr photo by xlibber http://flickr.com/photos/xlibber/3423766012
shared under a Creative Commons (BY) license
thanks

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An Open Pedagogy for Teaching Mathematics v1

  • 1. for Teaching Mathematics Open An Pedagogy Darren Kuropatwa SJSD Curriculum Coordinator Riding The Wave Conference Gimli, May 2015
  • 2. flickr photo by Thibault Le Mer | Photography http://flickr.com/photos/ thibault_lemer_pics/14990594447 shared under a Creative Commons (BY-ND) license The Parable of The Road
  • 3. flickr photo by kevbo1983 http://flickr.com/photos/kevinwhite/1035465020 shared under a Creative Commons (BY-NC-ND) license The Parable of The Road
  • 4. The Parable of The Road flickr photo by archangel 12 http://flickr.com/photos/ archangel12/6775428854 shared under a Creative Commons (BY) license
  • 5. flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license The Parable of The Road
  • 6. Learning flickr photo by liza31337 http://flickr.com/photos/lizadaly/ 2944376209 shared under a Creative Commons (BY) license making connections debugging flickr photo by mikemol http://flickr.com/photos/28208534@N07/4047355843 shared under a Creative Commons (BY) license
  • 7. Try playing with the sliders in the face I drew to change this fellow's expression. j.mp/desmanface
  • 8.
  • 9. The Parable of The Road flickr photo by archangel 12 http://flickr.com/photos/ archangel12/6775428854 shared under a Creative Commons (BY) license
  • 10. coverage flickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/ 1795849440 shared under a Creative Commons (BY-NC-ND) license stepsof learning
  • 11. Influences And Effect Sizes Related To Student Achievement With a Cohen's d of 0.09, 54% of the treatment group will be above the mean of the control group (Cohen's U3), 96% of the two groups will overlap, and there is a 53% chance that a person picked at random from the treatment group will have a higher score than a person picked at random from the control group (probability of superiority) Teacher Subject Matter Knowledge: 0.09
  • 12. coverage practice flickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/ 1795849440 shared under a Creative Commons (BY-NC-ND) license stepsof learning
  • 13. Influences And Effect Sizes Related To Student Achievement Reciprocal Teaching: 0.74 Feedback: 0.73 With a Cohen's d of 0.74, 77% of the treatment group will be above the mean of the control group (Cohen's U3), 71% of the two groups will overlap, and there is a 70% chance that a person picked at random from the treatment group will have a higher score than a person picked at random from the control group (probability of superiority).
  • 14.
  • 15. coverage practice insight flickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/ 1795849440 shared under a Creative Commons (BY-NC-ND) license stepsof learning
  • 16.
  • 17. ?
  • 20. flickr photo by alsojonathan http://flickr.com/photos/ jono2k5/472739449 shared under a Creative Commons (BY) license text books
  • 21.
  • 22.
  • 23. flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license
  • 24. A non-disposable assignment Students will revise and remix the core instructional materials of the class (which are OER) with other OER and with their own original work in order to create a small tutorial (in any medium) on a topic that students in the course generally struggle with. They will then use their tutorial to teach the topic to one of their peers. The best tutorials will be integrated into the official OER collection or open textbook for use by other students starting next semester. via David Wiley flickr photo by Team Lane http://flickr.com/photos/colleen-lane/ 4399378949 shared under a Creative Commons (BY-ND) license
  • 25.
  • 26. flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license
  • 27. The University of British Columbia's class SPAN312 ("Murder, Madness, and Mayhem: Latin American Literature in Translation") contributed to Wikipedia during Spring 2008. Our collective goals were to bring a selection of articles on Latin American literature to featured article status (or as near as possible). By project's end, we had contributed three featured articles and eight good articles. None of these articles was a good article at the outset; two did not even exist. ‘‘
  • 28. Asking "Does using a wiki improve learning?" is like asking "Does using a pencil improve writing?" High School Sucks / Bekah / CC BY-NC 2.0
  • 29. flickr photo by furiousgeorge81 http://flickr.com/photos/furiousgeorge81/177926979 shared under a Creative Commons (BY-NC-ND) license
  • 30. A computer is an instrument whose music is composed of ideas. “ Alan Kay
  • 31.
  • 32. flickr photo by xlibber http://flickr.com/photos/xlibber/3423766012 shared under a Creative Commons (BY) license now go get your planes in the air ...
  • 33. flickr photo by xlibber http://flickr.com/photos/xlibber/3423766012 shared under a Creative Commons (BY) license thanks