7. Teachers must engage studentsʼ preconceptions
(Principle 1)
Studentsʼ Errors and Misconceptions
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 =
8. Understanding requires factual knowledge
and conceptual frameworks
The Knowledge Network:
New Concepts and New Applications(Principle 2)
39. most talking is growing
Marcia L.Tate
Eliot teaching by flickr user yewenyi
http://www.flickr.com/photos/yewenyi/381552561/
The person doing the
the most dendrites.
56. Fork in the Road by flickr user Friends of San Jacinto
http://www.flickr.com/photos/friendsofsanjacinto/4479943434/
ChooseYour Own Path
Mathematics Stories
57.
58. Group Annotation Project: half Lives and Decay
http://www.youtube.com/watch?v=xg0trSjx4AM
Group Annotation Project
93. Credits
DAI Gallery
http://flickr.com/photos/herzogbr/1227648062/
My version of a quadratic !
http://flickr.com/photos/40256716@N00/316074893/
published me
http://flickr.com/photos/hi-phi/329004580/
How Students Learn
http://books.nap.edu/catalog.php?record_id=9853
Pewter Letters Numbers
http://flickr.com/photos/lwr/sets/72157594512642436/
This body is networked
http://flickr.com/photos/funksoup/403990660/
Lost in Thought
http://www.flickr.com/photos/johnbolland/1544108261/
Magic is true!
http://flickr.com/photos/7933170@N03/2631820657/
Mind Mapping
http://flickr.com/photos/sirwiseowl/2101661645/
book shelf project 2 ~ striatic {notes}
http://flickr.com/photos/striatic/730978/
dsc006647
http://flickr.com/photos/49405310@N00/24167123/
your turn ;p
http://flickr.com/photos/mariachily/2174723906/
Obligatory Wiki Photo
http://flickr.com/photos/cogdog/19490596/
High School "Games" Projects
http://flickr.com/photos/mspatt/2367994924/
Video Credits
1620
http://www.youtube.com/watch?v=C9mSspoCv7Q
PS22 Chorus “Landslide”
http://www.youtube.com/watch?v=f2p5augniQA
Emergence: Create
http://www.youtube.com/watch?v=A3eIXlJvKNs
Lost in Thought
http://www.flickr.com/photos/johnbolland/1544108261/
Day One
http://www.flickr.com/photos/mbshane/3158001015/
UF Norman Hall Desks Classroom by flickr user cdsessums
http://www.flickr.com/photos/csessums/4389122037/