Slides from a presentation given online to Dean Shareski's undergraduate student teachers on 19 November 2008.

1. Practices
and
Principles
Darren Kuropatwa
http://adifference.blogspot.com

2. Watch It Do It
Teach It

3. Publish It

4. Create It

7. Class Blogs
practice #3

8. Three principles

9. 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

10. The Knowledge Network:
(Principle 2)
New Concepts and New Applications
UNDERSTANDING REQUIRES FACTUAL
KNOWLEDGE AND CONCEPTUAL FRAMEWORKS

11. (Principle 3)
Metacognition
A METACOGNITIVE APPROACH
ENABLES STUDENT SELF-MONITORING

12. Learning is a Conversation

13. Learning Requires Reflection

14. Learning Requires Reflection

15. (Principle 1) Teachersʼ Errors and Misconceptions
Based on Previous Learning
x =
TEACHERS MUST ENGAGE THEIR OWN PRECONCEPTIONS

16. (Principle 2) Build Knowledge Networks
CONCEPTUAL AND SOCIAL NETWORKS

17. (Principle 3)
Metacognition
ACTIVELY AND TRANSPARENTLY
REFLECT ON YOUR TEACHING

18. Credits How Students Learn
http://books.nap.edu/catalog.php?record_id=10126
Pewter Square Letter Numbers Pewter Letters Numbers
http://flickr.com/photos/lwr/sets/72157603850651713/ http://flickr.com/photos/lwr/sets/72157594512642436/
Someone's Watching You (DSC_8575) This body is networked
http://flickr.com/photos/shutterhack/2124873623/ http://flickr.com/photos/funksoup/403990660/
A volta do tordilho-negro The Thinker
http://flickr.com/photos/bombeador/2324874956/ http://flickr.com/photos/renny1967/1509761982/
The_joy_of_teaching the thinker
http://flickr.com/photos/jcrojas/63949879/ http://www.flickr.com/photos/mattwright/526492646/
published me reflection
http://flickr.com/photos/hi-phi/329004580/ http://flickr.com/photos/barnett/206994953/
Magic is true! thoughtful
http://flickr.com/photos/7933170@N03/2631820657/ http://flickr.com/photos/ronlayters/440835731/
Mira reading the Griffiths Quantum Text Girl Talk
http://flickr.com/photos/ailric/390832774/ http://flickr.com/photos/e06158/2272739708/
workstation Big Screen Reflection
http://www.flickr.com/photos/striatic/241843728/ http://www.flickr.com/photos/benward/181425257/
My Class Blogs 2007-2008
AP Calculus AB (2007-2008) Consumer Math 20S (Fall 2007)
http://apcalc07.blogspot.com http://cm20sf07.blogspot.com
Applied Math 40S (Winter 2008) Jabbamatheez 40S (Winter 2008)
http://am40sw08.blogspot.com http://pc40sw08.blogspot.com
Calculus 45S (Winter 2008) Pre-Cal 40S (Fall 2007)
http://cal45sw08.blogspot.com http://pc40sf07.blogspot.com

19. thanks
Darren Kuropatwa
http://adifference.blogspot.com