This document discusses three principles for improving lesson plans regarding teaching rational numbers: 1) Engage students' preconceptions and misconceptions from previous learning. 2) Use new concepts and applications to facilitate understanding through building on factual knowledge and conceptual frameworks. 3) Employ metacognitive strategies like mind maps and student project work to enable self-monitoring of learning. By publishing student work, teachers can better understand what students know and students can educate each other.

1. ^
Extreme Lesson
Plan Makeover
Darren Kuropatwa
MECY Sr Years ICT Consultant
Sunrise SD, September 21, 2009

2. Senior Years ICT Workshops Wiki
http://tr.im/srsd09
Back channel available at:
http://todaysmeet.com/srsd09

3. how do you know what they know?

4. Three (practices and) principles

5. Three (practices and) principles

7. Students! 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 students! preconceptions

8. t
Pu blish I

9. why publish student work?

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

11. Create It

12. 11

13. 12

14. 13

15. 14

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

17. mind maps

19. solution manuals

20. apcalc2008

21. poster projects

22. mapping project

26. presenting project work

27. DEVious

28. your turn

29. wade throu gh galleries
of stude nts’ thought

30. Good things happen when you publish their work ...

31. remember 1620?

32. you’ll know what they
know when they create
content that educates

33. rg
http://k12onlineconference.o

34. thanks

35. Photo Credits
Boy is my face red
http://flickr.com/photos/eqqman/224588322/
How Students Learn
http://books.nap.edu/catalog.php?record_id=9853
DAI Gallery
http://flickr.com/photos/herzogbr/1227648062/
Pewter Letters Numbers
http://flickr.com/photos/lwr/sets/72157594512642436/
published me
http://flickr.com/photos/hi-phi/329004580/
This body is networked
http://flickr.com/photos/funksoup/403990660/
Magic is true!
http://flickr.com/photos/7933170@N03/2631820657/
Lost in Thought
http://www.flickr.com/photos/johnbolland/1544108261/
Mind Mapping
http://flickr.com/photos/sirwiseowl/2101661645/
My version of a quadratic !
http://flickr.com/photos/40256716@N00/316074893/
book shelf project 2 ~ striatic {notes}
http://flickr.com/photos/striatic/730978/
Obligatory Wiki Photo
http://flickr.com/photos/cogdog/19490596/
Video Credits
dsc006647 1620
http://flickr.com/photos/49405310@N00/24167123/ http://www.youtube.com/watch?v=C9mSspoCv7Q
High School "Games" Projects PS22 Chorus “Landslide”
http://flickr.com/photos/mspatt/2367994924/ http://www.youtube.com/watch?v=f2p5augniQA
your turn ;p Emergence: Create
http://flickr.com/photos/mariachily/2174723906/ http://www.youtube.com/watch?v=A3eIXlJvKNs