7. 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
8. Understanding requires factual knowledge
and conceptual frameworks
The Knowledge Network:
(Principle 2) New Concepts and New Applications
9. kn owl edge isn’t s
in our head
een us
’s b etw
it
social
knowing
is never
David Weinberger
finished. Everything is Miscellaneous
32. learning
is talking.
Teaching is
listening,
Jer & Mario by flickr user johnnybelmont
quote source: unknown http://www.flickr.com/photos/johndavey/3334454519/
69. Credits
Lost in Thought
http://www.flickr.com/photos/johnbolland/1544108261/
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
Video Credits
http://flickr.com/photos/cogdog/19490596/
dsc006647
http://flickr.com/photos/49405310@N00/24167123/
1620
High School "Games" Projects http://www.youtube.com/watch?v=C9mSspoCv7Q
http://flickr.com/photos/mspatt/2367994924/
PS22 Chorus “Landslide”
Day One
http://www.youtube.com/watch?v=f2p5augniQA
http://www.flickr.com/photos/mbshane/3158001015/
your turn ;p Emergence: Create
http://flickr.com/photos/mariachily/2174723906/ http://www.youtube.com/watch?v=A3eIXlJvKNs