1.
Teaching
a pedagogical framework
Darren Kuropatwa
adifference.blogspot.com

2.
i n g
am
f r

3.
Three Pedagogical Principles

4.
Three Pedagogical Principles

5.
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

6.
Understanding requires factual knowledge
and conceptual frameworks
The Knowledge Network:
(Principle 2) New Concepts and New Applications

7.
3
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12.
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13.
Principle 3
Learning is facilitated through the
use of metacognitive strategies ...
A metacognitive approach
enables student self-monitoring

14.
eror analysis

15.
Find the error ...

16.
Three Pedagogical Principles
x =

17.
community

18.
community

19.
just like we all learned in kindergarden

20.
music from the thanks
freemusicarchive.org
“Blues for Oliver” (by Benny Golbin)
http://freemusicarchive.org/music/Benny_Golbin/~/Blues_for_Oliver

21.
Photos
holding hands by flickr user JonathanCohen
http://www.flickr.com/photos/jonathancohen/4084485753/
Goldener Bilderrahmen - gold picture frame by flickr user eriwst
http://www.flickr.com/photos/eriwst/2303608353/
I’m waiting for my man by flickr user onkel_wart
http://www.flickr.com/photos/onkel_wart/2038421770/
sweet potato cake by flickr user awhiskandaspoon
http://www.flickr.com/photos/awhiskandaspoon/3046642768/
you’ve been framed by flickr user Yersinia 1965 Canadian Quarter Reverse by flickr user Astro Guy
http://www.flickr.com/photos/yersinia/2439823650/ http://www.flickr.com/photos/astroguy/4292081808/
Framed! by flickr user freebird4 Smarties Graph #3 by flickr user sneeu
http://www.flickr.com/photos/freebird4/143459063/ http://www.flickr.com/photos/sneeu/3204193019/
How People Learn Find the error by flickr user Daniel Paquet
http://books.nap.edu/catalog.php?record_id=9853 http://www.flickr.com/photos/danielpaquet/847908552/
How Students Learn Lost in Thought
http://books.nap.edu/catalog.php?record_id=10126 http://www.flickr.com/photos/johnbolland/1544108261/
MMMMM, Sourdough Pancakes for Breakfast by flickr user Chiot's Run Geese by flickr user swan-t
http://www.flickr.com/photos/chiotsrun/4311640086/ http://www.flickr.com/photos/swan-t/50979299/
Pewter Letters Numbers We are all under One Sky by flickr user MaureenShaughnessy (aka MontanaRaven)
http://flickr.com/photos/lwr/sets/72157594512642436/ http://www.flickr.com/photos/montanaraven/48290744
This body is networked Geese Flying by flickr user superstrikertwo
http://flickr.com/photos/funksoup/403990660/ http://www.flickr.com/photos/superstrikertwo/3270702845/
291220082456 by flickr user roland Silhouette of a family of five
http://www.flickr.com/photos/roland/3148183909/ http://www.flickr.com/photos/13010608@N02/3082540785/