Slides from an online presentation given to teachers in the Enhancing Education Through Technology group under the auspices of Erie 1 BOCES. April, 2009.
1. A Day In The Life
of a teacher teaching with technology
(from principle to practice x 3)
Darren Kuropatwa
http://adifference.blogspot.com
2. My Prejudices
Why don’t students do
better in mathematics?
John Allen Paulos
3. Why should we care about mathematics?
job skills, needs of science
and technology
4. Why should we care about mathematics?
job skills, needs of science
and technology
curiosity
beauty
essential understanding to
play
be a responsible citizen
and transcendence
5. Why should we care about mathematics?
curiosity
beauty
essential understanding to
play
be a responsible citizen
and transcendence
6. Why don’t students do better in mathematics?
5 misconceptions about math
(1) mathematics = computation
7. Why don’t students do better in mathematics?
5 misconceptions about math
(1) mathematics = computation
pattern recognition
37. 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
38. The Knowledge Network:
(Principle 2)
New Concepts and New Applications
UNDERSTANDING REQUIRES FACTUAL
KNOWLEDGE AND CONCEPTUAL FRAMEWORKS
39. (Principle 3)
Metacognition
A METACOGNITIVE APPROACH
ENABLES STUDENT SELF-MONITORING
82. Credits John Allen Paulos
http://en.wikipedia.org/wiki/File:John_Allen_Paulos.JPG
220 the thinker
http://www.flickr.com/photos/jeope/249159137/ http://www.flickr.com/photos/mattwright/526492646/
How Students Learn reflection
http://books.nap.edu/catalog.php?record_id=10126 http://flickr.com/photos/barnett/206994953/
Pewter Letters Numbers thoughtful
http://flickr.com/photos/lwr/sets/72157594512642436/ http://flickr.com/photos/ronlayters/440835731/
This body is networked Transparency
http://flickr.com/photos/funksoup/403990660/ http://flickr.com/photos/lightmash/2393645062/
The Thinker Sharing
http://flickr.com/photos/renny1967/1509761982/ http://flickr.com/photos/furiousgeorge81/177926979/
DNA Girl Talk
http://www.flickr.com/photos/ghutchis/124782978/ http://flickr.com/photos/e06158/2272739708/
question mark ? Big Screen Reflection
http://flickr.com/photos/lwr/12364944/ http://www.flickr.com/photos/benward/181425257/
Mira reading the Griffiths Quantum Text start of the mobile content era
http://flickr.com/photos/ailric/390832774/ http://www.flickr.com/photos/lynetter/329280898
workstation all other images (cc) dkuropatwa
http://www.flickr.com/photos/striatic/241843728/ http://www.flickr.com/photos/dkuropatwa/tags/adayinthelife/
My Class Blogs 2008-2009
AP Calculus AB (2008-2009) Applied Math 20S (Fall 2008)
http://apcalc2008.blogspot.com http://am20sf08.blogspot.com
Applied Math 40S (Winter 2009) Pre-Cal 20S (Fall 2008)
http://am40sw09.blogspot.com http://pc20sf08.blogspot.com
Pre-Cal 40S (Winter 2009) Pre-Cal 30S (Fall 2008)
http://pc40sw09.blogspot.com http://pc30sf08.blogspot.com
83. thanks
Darren Kuropatwa
http://adifference.blogspot.com