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Page 1: An Open Pedagogy for Teaching Mathematics v2

for Teaching Mathematics

OpenAn

Pedagogy

Darren KuropatwaSTLinSTL Conference

St. Louis, MO; June 2015

Page 3: An Open Pedagogy for Teaching Mathematics v2

flickr photo by kevbo1983 http://flickr.com/photos/kevinwhite/1035465020 shared under a Creative Commons (BY-NC-ND) license

The Parable of The Road

Page 5: An Open Pedagogy for Teaching Mathematics v2

flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license

The Parable of The Road

Page 6: An Open Pedagogy for Teaching Mathematics v2

Learningflickr 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

Page 7: An Open Pedagogy for Teaching Mathematics v2

Try playing with the sliders in the face I drew to change this fellow's expression.

j.mp/desmanface

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22333

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coverageflickr photo by matt.hintsa http://flickr.com/photos/matt_hintsa/1795849440 shared under a Creative Commons (BY-NC-ND) license

stepsof learning

Page 11: An Open Pedagogy for Teaching Mathematics v2

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

Page 12: An Open Pedagogy for Teaching Mathematics v2

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

Page 13: An Open Pedagogy for Teaching Mathematics v2

Influences And Effect Sizes Related To Student Achievement

Reciprocal Teaching: 0.74Feedback: 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).

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22333

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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

Page 16: An Open Pedagogy for Teaching Mathematics v2
Page 17: An Open Pedagogy for Teaching Mathematics v2

?

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solution manuals

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flickr photo by alsojonathan http://flickr.com/photos/jono2k5/472739449 shared under a Creative Commons (BY) license

text books

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22333

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flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license

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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 Wileyflickr photo by Team Lane http://flickr.com/photos/colleen-lane/4399378949 shared under a Creative Commons (BY-ND) license

Page 26: An Open Pedagogy for Teaching Mathematics v2

flickr photo by Rashley http://flickr.com/photos/rashley/4414409808 shared under a Creative Commons (BY) license

Page 27: An Open Pedagogy for Teaching Mathematics v2

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.‘‘

Page 30: An Open Pedagogy for Teaching Mathematics v2

flickr photo by milos milosevic http://flickr.com/photos/21496790@N06/5065834411 shared under a Creative Commons (BY) license

Page 31: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3292377555 shared under a Creative Commons (BY-NC-SA) license

thinning walls& collaborative gift cultures

from Alec Couros: Visualizing Open/Networked Teaching

Page 32: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3292377555 shared under a Creative Commons (BY-NC-SA) licensefrom Alec Couros: Visualizing Open/Networked Teaching

Do you advocate and use free and/or open source tools and software wherever possible

that are beneficial to student learning?

Page 33: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3292377555 shared under a Creative Commons (BY-NC-SA) license

Do you integrate free and open content & media in teaching & learning?

from Alec Couros: Visualizing Open/Networked Teaching

Page 34: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3292377555 shared under a Creative Commons (BY-NC-SA) license

Do you promote copyleft content licenses for student content production/publication/

dissemination?

from Alec Couros: Visualizing Open/Networked Teaching

Page 35: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3292377555 shared under a Creative Commons (BY-NC-SA) license

Do you facilitate student understanding regarding copyright law (e.g., fair use/

fair dealing, copyleft/copyright)?

from Alec Couros: Visualizing Open/Networked Teaching

Page 37: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3293199214 shared under a Creative Commons (BY-NC-SA) license

from Alec Couros: Visualizing Open/Networked Teaching

Do you facilitate and distribute scaffolding of student personal learning networks for

collaborative and sustained learning?

Page 38: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3293199214 shared under a Creative Commons (BY-NC-SA) license

from Alec Couros: Visualizing Open/Networked Teaching

Do you develop learning environments that are reflective, responsive, student-centred, and that incorporate a

diverse array of instructional and learning strategies?

Page 39: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3293199214 shared under a Creative Commons (BY-NC-SA) license

from Alec Couros: Visualizing Open/Networked Teaching

Do you model openness, transparency, connectedness, and responsible

copyright/copyleft use and licensing?

Page 40: An Open Pedagogy for Teaching Mathematics v2

flickr photo by courosa http://flickr.com/photos/courosa/3293199214 shared under a Creative Commons (BY-NC-SA) license

from Alec Couros: Visualizing Open/Networked Teaching

Do you advocate for the participation and development of collaborative gift

cultures in education and society?

Page 41: An Open Pedagogy for Teaching Mathematics v2

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

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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 ...

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flickr photo by xlibber http://flickr.com/photos/xlibber/3423766012 shared under a Creative Commons (BY) license

thanks